term 2: platinum lesson plans – grade 5

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INTERMEDIATE PHASE
GRADE 5 LESSON PLANS
2012
Platinum MATHEMATICS
CONTENTS PAGE
MATHEMATICS WORKSCHEDULE GRADE 5 ................................................................................... 3
TERM 1.....................................................................................................................................................................3
TERM 2.....................................................................................................................................................................4
TERM 3.....................................................................................................................................................................5
TERM 4.....................................................................................................................................................................6
EXEMPLAR TEACHING PLAN– GRADE 5 ........................................................................................... 7
TOPIC 1: COUNT, ORDER, COMPARE AND REPRESENT WHOLE NUMBERS ......................................................7
TERM 1: PLATINUM LESSON PLANS – GRADE 5 ......................................................................... 13
TOPIC 1: COUNT, ORDER, COMPARE AND REPRESENT WHOLE NUMBERS ................................................... 13
TOPIC 2: NUMBER SENTENCES ........................................................................................................................... 14
TOPIC 3: ADDITION AND SUBTRACTION ............................................................................................................ 15
TOPIC 4: NUMERIC PATTERNS ............................................................................................................................ 16
TOPIC 5: MULTIPLICATION AND DIVISION ........................................................................................................ 17
TOPIC 6: TIME ....................................................................................................................................................... 18
TOPIC 7: DATA HANDLING................................................................................................................................... 19
TOPIC 8: PROPERTIES OF 2D SHAPES................................................................................................................ 20
TOPIC 9: CAPACITY AND VOLUME ...................................................................................................................... 21
TERM 2: PLATINUM LESSON PLANS – GRADE 5 ......................................................................... 22
TOPIC 10: COUNT, ORDER, COMPARE AND REPRESENT WHOLE NUMBERS ................................................. 22
TOPIC 11: ADDITION AND SUBTRACTION ......................................................................................................... 23
TOPIC 12: COMMON FRACTIONS ........................................................................................................................ 24
TOPIC 13: LENGTH ............................................................................................................................................... 25
TOPIC 14: MULTIPLICATION .............................................................................................................................. 26
TOPIC 15: PROPERTIES OF 3D OBJECTS............................................................................................................ 27
TOPIC 16: GEOMETRIC PATTERNS ..................................................................................................................... 28
TOPIC 17: SYMMETRY .......................................................................................................................................... 29
TOPIC 18: DIVISION.............................................................................................................................................. 30
TERM 3: PLATINUM LESSON PLANS – GRADE 5 ......................................................................... 31
TOPIC 19: COMMON FRACTIONS ........................................................................................................................ 31
TOPIC 20: MASS .................................................................................................................................................... 32
TOPIC 21: COUNT, ORDER, COMPARE AND REPRESENT WHOLE NUMBERS ................................................. 33
TOPIC 22: ADDITION AND SUBTRACTION ......................................................................................................... 34
TOPIC 23: VIEWING OBJECTS .............................................................................................................................. 35
TOPIC 24: PROPERTIES OF 2-D SHAPES ........................................................................................................... 36
TOPIC 25: TRANSFORMATIONS .......................................................................................................................... 37
TOPIC 26: TEMPERATURE ................................................................................................................................... 38
TOPIC 27: DATA HANDLING ................................................................................................................................ 39
TOPIC 28: NUMERIC PATTERNS ......................................................................................................................... 40
TOPIC 29: MULTIPLICATION ............................................................................................................................... 41
TERM 4: PLATINUM LESSON PLANS – GRADE 5 ......................................................................... 42
TOPIC 30: COUNT, ORDER, COMPARE AND REPRESENT WHOLE NUMBERS ................................................. 42
TOPIC 31: ADDITION AND SUBTRACTION ......................................................................................................... 43
TOPIC 32: PROPERTIES OF 3-D OBJECTS .......................................................................................................... 44
TOPIC 33: COMMON FRACTIONS ........................................................................................................................ 45
TOPIC 34: DIVISION.............................................................................................................................................. 46
TOPIC 35: PERIMETER, AREA AND VOLUME ..................................................................................................... 47
TOPIC 36: POSITION AND MOVEMENT .............................................................................................................. 48
TOPIC 37: TRANSFORMATIONS .......................................................................................................................... 49
TOPIC 38: GEOMETRIC PATTERNS ..................................................................................................................... 50
TOPIC 39: NUMBER SENTENCES......................................................................................................................... 51
TOPIC 40: PROBABILITY ...................................................................................................................................... 52
2
MATHEMATICS WORKSCHEDULE GRADE 5
TERM 1
WEEKS
1
1–2
2
TOPIC
TIME
ALLOCATION
AS PER CAPS
Topic 1: Count, order, compare
and represent whole numbers
2 hours
Topic 2: Number sentences
3 hours
Revision
5 hours
3
Topic 4: Numeric patterns
4 hours
4
Revision
Topic 5: Multiplication and
division
6 hours
5
Formal Assessment:
Assignment – Find patterns
0.5 hours
6
Topic 6: Time
Revision
1. Read and write time
2. Convert units of time
3. Measure and calculate time
0.5 hours
Topic 7: Data handling
10 hours
8–9
Topic 8: Properties of 2D shapes
7 hours
Revision
1. Find factors and multiples
2. Multiply two-digit numbers
3. Divide whole numbers
4. Solve multiplication or division
Problems
6 hours
6–8
9
1. Round off and estimate
2. Add whole numbers
3. Subtract whole numbers
1. Patterns and flow diagrams
2. Discover more numeric patterns
0.5 hours
4–5
5–6
1. Place value
2. Read, write and round off numbers
3. Count forwards and backwards
4. Compare and order numbers
1. Addition and subtraction number
sentences
2. Division and multiplication number
sentences
3. The order in a number sentence
4. Group numbers in different ways
5. Addition and subtraction facts
0.5 hours
Topic 3: Addition and
subtraction
2–3
UNITS WITHIN EACH TOPIC
1. Collect , organise and display data
2. Order data and find the mode
3. Work through a data cycle
4. Interpret and analyse data
5. Think about where data comes from
1. What is a 2D shape?
2. Identify polygons
3. Polygons and angles
4. Describe and draw 2D shapes
0.5 hours
10
Topic 9: Capacity and volume
5 hours
10
Formal Assessment:
Test
1 hour
1. Estimate capacity
2. Estimate, measure and record
capacity
3. Compare, order and record capacities
4. Convert units of capacity
5. Calculate and solve problems that
involve capacity
3
TERM 2
WEEKS
TOPIC
TIME
ALLOCATION
AS PER CAPS
1
Topic 10: Count, order, compare
and represent whole numbers
1 hour
Topic 11: Addition and
subtraction
5 hours
1–2
2
Revision
Topic 12: Common fractions
5 hours
3–4
Topic 13: Length
7 hours
Revision
Topic 14: Multiplication
6 hours
6
Formal Assessment: Test
1 hour
6–7
Topic 15: Properties of 3D
objects
6 hours
7–8
Revision
4 hours
8
Topic 17: Symmetry
2 hours
8
Revision
10
1. Work with factors and multiples
2. Multiply three-digit numbers by
two-digit numbers
3. Division is the inverse of multiplication
4. Solve multiplication problems
1. Recognise and name 3D objects
2. Construct models of 3D objects
3. Work with diagrams of 3D objects
0.5 hours
Topic 16: Geometric patterns
8 - 10
1. Name and recognise fractions
2. Equivalent fractions
3. Count, compare and order fractions
4. Make fractions by sharing and
grouping
5. Add fractions
6. Solve problems that involve fractions
1. Estimate and measure length
2. Convert units of length
3. Calculate with units of length
4. Solve problems that involve length
0.5 hours
4–6
7
1. Count, read and write whole numbers
2. Round off and compare whole numbers
1. Add whole numbers
2. Subtract whole numbers
3. Solve addition and subtraction problems
0.5 hours
2–3
4
UNITS WITHIN EACH TOPIC
1. Describe and extend geometric
patterns
2. Investigate geometric patterns
1. Line symmetry
2. Rotational symmetry
0.5 hours
Topic 18: Division
8 hours
Formal Assessment:
Exam practice
1 hour
1. Work with factors and multiples
2. Use multiplication facts to divide
3. Divide by a two-digit number
4. Division with remainders
5. Compare two quantities by dividing
6. Solve problems that involve division
4
TERM 3
WEEKS
TOPIC
TIME ALLOCATION AS
PER CAPS
1–2
Topic 19: Common fractions
5 hours
2–3
Topic 20: Mass
5 hours
3
3
3–4
4
4–5
Revision
Topic 21: Count, order, compare
and represent whole numbers
Topic 22: Addition and
Subtraction
Revision
1. Add and subtract common fractions
2. Mixed numbers
3. Add and subtract mixed numbers
4. Solve problems that involve fractions
1. Estimate, measure and compare
masses
2. Convert units of mass
3. Calculate with units of mass
4. Solve problems that involve mass
0.5 hours
1 hour
5 hours
1. Round off numbers
2. Expand and compare whole numbers
1. Add numbers in columns
2. Subtract numbers in columns
3. Solve addition and subtraction
problems
0.5 hours
Topic 23: Viewing objects
3 hours
5
Topic 24: Properties of 2D
Shapes
4 hours
5
Revision
5–6
UNITS WITHIN EACH TOPIC
1. Identify objects from different
viewpoints
2. Match the view with the position of the
viewer
1. Identify, describe and compare 2D
shapes
2. Draw 2D shapes
0.5 hours
Topic 25: Transformations
3 hours
6
Topic 26: Temperature
2 hours
6
Revision
1. Use transformations to describe the
movement of shapes
2. Use transformations to make
composite shapes
1. Estimate temperature
2. Measure temperature
3. Read and order temperatures
0.5 hours
1. Collect , organise and display data
7–8
8
8–9
9
9 – 10
10
Topic 27: Data handling
9 hours
2. Find the mode
3. Work through a data cycle
4. Interpret and analyse data
5. Compare graphs
Formal Assessment: Project –
Data Handling
Topic 28: Numeric patterns
Revision
5 hours
1. Create number patterns
2. Find the rule for a number pattern
3. Investigate number sequences
0.5 hours
Topic 29: Multiplication
7 hours
Formal Assessment: Test
1 hour
5
1. Multiples and factors
1. Multiply three-digit numbers by two
digit numbers
3. Compare quantities
4. Solve multiplication problems
TERM 4
WEEKS
TOPIC
TIME ALLOCATION AS
PER CAPS
1
Topic 30: Count, order, compare
and represent whole numbers
1 hour
Topic 31: Addition and
subtraction
5 hours
1–2
2
2–3
3–4
4
4
Revision
Topic 32: Properties of 3D
objects
Topic 33: Common fractions
Revision
Formal Assessment:
Assignment – Travelling times
and distances
5 hours
5 hours
0.5 hours
7 hours
6–7
Topic 35: Perimeter, area and
Volume
7 hours
7
1. Factors and multiples
2. Inverse operations
3. Use a clue board for division
4. Solve division problems
1. Measure perimeter
2. Calculate perimeter
3. Area
4. Volume
5. Find the volume of a container
0.5 hours
2 hours
7–8
Topic 37: Transformations
4 hours
8
Revision
Formal Assessment:
Investigation – Palindromes
0.5 hours
8
1. Recognise and name 3D objects
2. Sort and compare 3D objects
3. Compare and order fractions
4. Calculate fractions of whole numbers
5. Solve problems that involve fractions
0.5 hours
Topic 34: Division
Revision
Topic 36: Position and
movement
1. Round off large numbers
2. More practice with whole numbers
1. Add numbers in columns
2. Subtract numbers in columns
3. Solve addition and subtraction
Problems
0.5 hours
4–5
7
UNITS WITHIN EACH TOPIC
1. Locate positions on a grid
2. Locate positions on a map
3. Use transformations to create
tessellations
4. Describe patterns around us
0.5 hours
8–9
Topic 38: Geometric patterns
2 hours
9
Topic 39: Number sentences
3 hours
9
Revision
10
Topic 40: Probability
2 hours
Formal Assessment:
Exam Practice
1 hour
1. Extend a geometric pattern
2. Change the shape of a geometric
pattern
3. A different type of geometric pattern
4. Another type of pattern
1. Use number sentences to solve
problems
2. Multiple choice questions
0.5 hours
6
1. List possible outcomes of experiments
2. Record outcomes of experiments
Subject: Mathematics
EXEMPLAR TEACHING PLAN– GRADE 5
Grade: 5
Topic 1: Count, order, compare and represent whole numbers
Duration: 2 hours
CAPS
Content
Term 1, Week 1
NUMBERS, OPERATIONS AND RELATIONS HIPS
1.1 Whole numbers
 Counting,
 Ordering
 Comparing
 Place value of digits
Unit 1: Place value
Unit 2: Read, write and round off numbers
Unit 3: Count forwards and backwards
Unit 4: Compare and order numbers
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Place
value
TEACHING METHODS / APPROACH
Duration: 60 minutes
Preparation and suggested resources
The following resources will be useful for learners to understand the value
of each digit that makes up a whole number:
• place value cards
• number lines
• whiteboards
• whiteboard markers
• place value tables.
Common errors and misconceptions:
• Learners sometimes have difficulty in crossing the place value bridges
from 9 000 to 10 000 and from 10 000 to 100 000. Practice counting
forwards and backwards from various starting points and in different
multiples.
• Use the place value cards and place value table to assist the learners that
find working with larger numbers difficult.
Key words
whole number
place value
digit
Teaching guidelines
1. Ask the learners for a three-digit number to write on the board. Ask a
volunteer to read the number out loud.
2. Now draw a place value table underneath the number and ask the
learners to work out what the value of each number will be. Learners
may use their place value cards to help them.
3. Explain a few examples on the board and write a number on the place
value table. Ask the class to work out the place value and/or value of
each digit.
7
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Place value cards,
number lines,
whiteboards,
whiteboard
markers,
place value tables
4. Reinforce the learners’ understanding with questions such as, ‘What is
the value of the 6 in this number?’
5. Read through the examples in the Learner’s Book on page 4, which
explains place value and value. Once the learners know how to use the
place value table confidently, allow them to sit in groups and play with
four-digit numbers.
6. Monitor their progress.
Lesson 2:
Unit 2: Read,
write and
round off
numbers
Support and extension
 Learners can now complete Exercise 1.1, Questions 1, 2 and 3 on
page 4 in the Learner’s Book.
 Once learners have completed Exercise 1.1, they can attempt the
Challenge on page 4 in the Learner’s Book. Learners can work in
pairs or individually.
Mental Maths 10 minutes (TG page 180)
Exercise 1.1 (LB page 4)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 2)
Duration: 30 minutes
Preparation and suggested resources
The following resources will be useful for learners to understand the value
of each digit that makes up a whole number:
• place value cards
• number lines
• whiteboards
• whiteboard markers
• place value tables.
Common errors and misconceptions:
 Learners sometimes have difficulty in crossing the place value
bridges from 9 000 to 10 000 and from 10 000 to 100 000. Practise
counting forwards and backwards from various starting points and
in different multiples.
 Use the place value cards and place value table to assist the learners
who have difficulty with larger numbers.
 Learners either miss ‘hidden’ zeros or put in too many, for example,
learners write 15 057 as 15 57 or 15 00057. Ask them to practise
looking carefully at each placeholder, making sure there is a digit in
every place, even if it is a zero.
Key words
rounding
estimate
Teaching guidelines
1. Call out some numbers for learners to write down, for example: four
hundred and seventy six, and include numbers that have zeros in them,
such as one thousand and sixty-six.
2. Ask volunteers to write the numbers on the board. Play ‘Guess my
number’ whereby you think of a number and the learners use ten or
twenty questions to identify the number. They can only ask one question
at a time, to which the answer is either ‘yes’ or ‘no’, for example ‘Is it
tens’ digit less than 5?’, ‘Does it have more than six hundreds?’ and ‘Is its
thousands’ digit even?’ You can either let the learners know how many
digits the number has, or make them guess that as well.
8
3. To make this activity more exciting, you can divide the class into two
teams so that they can compete against each other. The fewer questions
asked before the number is correctly guessed, the higher the ‘score’ for
the team.
4. Do Exercise 1.2 Question 1 orally, or ask the learners to work in pairs to
practice saying the numbers.
5. Ask the learners to complete Question 2 orally before they write the
numbers in words in their exercise book.
6. Read through the ‘Did you know?’ feature on page 6 of the Learner’s
Book. This shows how the Zulu people use the fingers of both hands to
name the numbers from one to ten.
7. Learners should then complete Question 3 and Exercise 1.3 in their
exercise books.
Lesson 3:
Unit 3: Count
forwards and
backwards
Support and extension
 Ask learners to write down ten four-digit numbers.
 They must then write out the ten numbers in words.
 You will have to mark their work to ensure that they understand
this section of work.
 Read through the ‘Did you know?’ feature on page 6 in the Learner’s
Book.
Mental Maths 10 minutes (TG page 180)
Exercise 1.2 & 1.3 (LB page 5)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 4)
Duration: 90 minutes
Preparation and suggested resources
The following resources will be useful so that learners will understand the
value of each digit that makes up a whole number:
• place value cards
• number lines
• whiteboards
• whiteboard markers
• place value tables.
Common errors and misconceptions:
 If learners sometimes have difficulty in crossing the place value
bridges from 9 000 to 10 000 and from 10 000 to 100 000, practise
counting forwards and backwards from various starting points and
in different multiples, for example in 3s and 4s, as well as in the
usual 5s and 10s. Use number lines as a support.
Teaching guidelines
1. Practice counting in 10s, starting from any two-digit number, and then
from any three-digit number and then any four-digit number.
2. Repeat this activity, first counting in 5s, then in 100s and finally in
1 000s.
3. Make sure that the learners are clear about what happens at the place
value bridges.
9
4. Do the following activity with the learners:
 Ask learners to draw a 4 × 4 grid and write a four-digit number in
each row. Explain that they have to cross out any of the numbers
that match your statements. The winner will be the first one to have
crossed out all of their numbers.

Use statements such as ‘A number with six 10s’, ‘A value of two 1
000s’ and ‘A 4 in the hundreds’ place’.

Depending on how much time you have, you could ask learners to
cross out only one number each time or cross out all the numbers
that apply.

Remember to include zeros in your statements and keep a record of
the values you have used.

Demonstrate counting forwards and backwards using a number line.
Write 997 and 998 on the middle of the line and then count
forwards, writing down the numbers as they are said. Point out
where the number of digits changes from three digits to four digits.

Next, write the numbers 1 002 and 1 003 on the middle of the
number line. This time, count backwards and point out where the
number of digits changes from four digits to three digits. Repeat this
activity for the 9 999 to 10 000 bridge.

Now practice counting in 2s, 5s, 10s, 100s and 1 000s, starting at
different points. Use the number line as support, and point to each
mark as you count. Make sure that learners can also count
backwards over these bridges.

Write a number on the number line, for example 10 005 and ask the
learners if they know what 5 less than this number is and then
repeat the 5 less again. If necessary, count backwards together.

5. Learners can now do Exercise 1.4.
Support and extension

Ask learners to make up some four-digit numbers of their own and
then practice counting forwards and backwards from these
numbers.
 Learners should practice counting from 9 900 to 10 010.
Mental Maths (TG page 180)
Exercise 1.4 & 1.5 (LB page 6)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 6)
10
Lesson 4:
Duration: 30 minutes
Unit 4:
Compare and
order
numbers
Preparation and suggested resources
The following resources will be useful for learners to understand the value
of each digit that makes up a whole number:
• place value cards
• number lines
• whiteboards
• whiteboard markers
• place value tables
Common errors and misconceptions
If learners order numbers by reading from left to right and ignore the place
value, give them sets of five three-digit numbers to order. Ask them to write
the numbers in a blank place value chart and then to order them, using their
charts. Once the learners are comfortable with this, you can include fourdigit numbers for them to order.
Keywords
compare
ascending order
descending
Teaching guidelines
1. Ask two volunteers to give you a pair of four digit numbers, which you
write on the board. Ask for the numbers in a place value table; once they
understand the value of each digit ask them which number is bigger, the
first or second.
2. Repeat this activity with a few more numbers.
3. Now ask for three numbers and follow the same procedure. Increase the
numbers that the children have to compare and order.
4. Read through the rules on how to order whole numbers on page 7 in the
Learner’s Book. Explain the meaning of ‘ascending order’ and
‘descending order’, using the examples on the board. Now go through
the example on page 7 in the Learner’s Book using the place value table.
5. You can include some more examples of four digit numbers with the
same ten thousand and thousand place values, for example: 4 576, 4 675
and 4 567. Ask the learners which digit will help them to decide which
number is larger.
6. Learners could draw a place value table in their books to help them.
Revise the use of the symbols < and > with the learners. Remind them
that the ‘mouth’ of the crocodile will always face the largest number.
7. Learners should now complete Exercise 1.6. If they have coped well with
Exercise 1.6, then they must attempt the Challenge in which they put all
numbers in Exercise 1.6 Question 1 in order.
Support and extension
• Learners can complete outstanding class work for homework.
• They can write down a variety of four-digit numbers and then place them
in ‘ascending’ and ‘descending’ order, using the ‘rules’ explained in class.
• Learners can also attempt the Challenge.
• Once learners have completed the Topic, they can complete Target
Worksheet 1A or 1B.
11
Challenge
This challenge builds on Exercise 1.6. Learners are asked to order all the
numbers in Exercise 1.6 in descending order.

Ask them to work in pairs for this challenge. If they have coped well
with Exercise 1.6, they should be able to do this fairly easily.

An important mathematical skill is to be able to realise that previous
answers can be used to save time and effort. In Question 1, learners
should realise that their answers to Exercise 1.6 are already in
ascending order.

They should then simply merge their five ordered lists from Exercise
1.6 in order to produce one long list.

Observe the pairs at work and which of them are working efficiently
and which pairs have adopted the tedious approach of ordering all
the numbers from scratch.

Intervention may be necessary in assisting struggling pairs. Explain
to them how they can approach the challenge.
Mental Maths (TG page 180)
Exercise 1.6 (LB page 7)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 6)
12
Subject: Mathematics
TERM 1: PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 1: Count, order, compare and represent whole numbers
Duration: 2 hours
CAPS
Content
Term 1, Week 1
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.2 Whole numbers
 Counting
 Ordering
 Comparing
 Place value of digits
Unit 1: Place value
Unit 2: Read, write and round off numbers
Unit 3: Count forwards and backwards
Unit 4: Compare and order numbers
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Place
value
TEACHING METHODS / APPROACH
Duration: 60 minutes
 Write a three-digit number on the board.
 Now draw a place value table underneath the number and ask the
learners to work out what the value of each number will be.
 Reinforce the learners’ understanding with questions.
Mental Maths 10 minutes (TG page 180)
Exercise 1.1 (LB page 4)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 2)
LESSON 2:
Unit 2: Read,
write and
round off
numbers
Duration: 30 minutes
 Call out some numbers for learners to write down.
 Play ‘Guess my number’ whereby you think of a number and the
learners use ten or twenty questions to identify the number.
LESSON 3:
Unit 3: Count
forwards and
backwards
Duration: 90 minutes
 Practise counting in 5’s, 10s, 100’s, 1 000’s.
 Make sure that the learners are clear about what happens at the place
value bridges.
 Demonstrate counting forwards and backwards using a number line.
Mental Maths 10 minutes (TG page 180)
Exercise 1.2 & 1.3 (LB page 5)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 4)
Mental Maths (TG page 180)
Exercise 1.4 & 1.5 (LB page 6)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 6)
LESSON 4:
Unit 4:
Compare and
order
numbers
Duration: 30 minutes
 Read through the rules on how to order whole numbers on page 7 in
the Learner’s Book.
 Explain the meaning of ‘ascending order’ and ‘descending order’.
 Revise the use of the symbols < and > with the learners.
Mental Maths (TG page 180)
Exercise 1.6 (LB page 7)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 6)
13
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Place value cards,
number lines,
whiteboards,
whiteboard
markers, place
value tables
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 2: Number sentences
Duration: 3 hours
CAPS
Content
Term 1, Weeks 1 - 2
PATTERNS, FUNCTIONS AND ALGEBRA
2.1 Number sentences

Write number sentences to describe problem situations

Solve and complete number sentences by – inspection, trial and improvement

Check the solution by substitution
Unit 1: Addition and subtraction number sentences
Unit 2: Division and multiplication number sentences
Unit 3: The order in a number sentence
Unit 4: Group numbers in different ways
Unit 5: Addition and subtraction facts
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Addition and
subtraction
number
sentences
TEACHING METHODS / APPROACH
Duration: 30 minutes
 Consolidate the properties of zero and the fact that addition and
subtraction are inverse operations.
Mental Maths 10 minutes (TG page 180)
Exercise 2.1 & 2.2 (LB page 8)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 10)
LESSON 2:
Unit 2:
Division and
multiplication
number
sentences
Duration: 30 minutes
 Revise the principle of division and multiplication being inverse
operations.
 Emphasise the property of the number 1 in multiplication and division.
LESSON 3:
Unit 3: The
order in a
number
sentence
Duration: 30 minutes
 Explain to the learners that changing the order of numbers being added
together does not affect the answer.
 Explain that when two numbers are being subtracted and the order is
changed, it results in trying to subtract a bigger number from a smaller.
LESSON 4:
Unit 4: Group
numbers in
different ways
Duration: 30 minutes
 As an introduction to the lesson, ask learners to answer these
questions:
17+
= 20 37+
= 50 ...
LESSON 5:
Unit 5:
Addition and
subtraction
facts
REVISION:
Topics 1 - 2
Duration: 60 minutes
 Work through the examples given in the Learner’s Book with the class.
Mental Maths 10 minutes (TG page 180)
Exercise 2.3 – 2.5 (LB page 9)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 76)
Mental Maths (TG page 180)
Exercise 2.6 – 2.8 (LB page 10)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 22)
Mental Maths (TG page 180)
Exercise 2.9 & 2.10 (LB page 11)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 46)
Mental Maths (TG page 180)
Exercise 2.11 & 2.12 (LB page 12)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 70 )
Duration: 30 minutes
TG page: 12
14
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Counters or small
stones
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 3: Addition and subtraction
Duration:5 hours
CAPS
Content
Term 1, Weeks 2 - 3
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers, addition and subtraction
 Number range for calculations: addition and subtraction of whole numbers with at least 5-digit numbers
 Calculation techniques: using a range of techniques to perform and check calculations
 Properties of whole numbers: recognize and use the commutative, associative and distributive properties
 Solving problems
Unit 1: Round off and estimate
Unit 2: Add whole numbers
Unit 3: Inverse operations
Unit 4: Subtract whole numbers
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Round
off and
estimate
LESSON 2:
Unit 2: Add
whole
numbers
TEACHING METHODS / APPROACH
RESOURCES
Duration: 60 minutes
 Explain the rules of rounding off to the nearest 10.
 Explain to the learners that for Exercise 3.1, they will either use
rounding off to the nearest 10 or 100 so that they can estimate the
answers.
 Learners will need to use the expanded method of addition to complete
their calculations.
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
Mental Maths 10 minutes (TG page 180)
Exercise 3.1 (LB page 14)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 98)
Place value cards,
number lines,
whiteboards,
whiteboard
markers, place
value tables,
hundred, tens and
units apparatus
Duration: 90 minutes
 Throughout this lesson, remind learners to estimate their answers
using rounding.
 Revise the expanded method taught in Grade 5.
Mental Maths 10 minutes (TG page 180)
Exercise 3.2 & 3.3 (LB page 15)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 54)
LESSON 3:
Unit 3:
Inverse
operations
Duration: 60 minutes
 Practise adding three numbers with the learners.
 Emphasise that addition can be done in any order, so using number
bonds to 10 is a useful strategy.
 Reinforce the inverse calculations used to find missing numbers.
Mental Maths (TG page 180)
Exercise 3.4 & 3.5 (LB page 16)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 56)
LESSON 4:
Subtract
whole
numbers
Duration: 90 minutes
 Explain the ‘breaking down of both numbers’ method on the board and
show the learners how to use the brackets in order to keep track of
their numbers.
 Explain how the learners should ‘exchange’ amounts from one number
to another, so that they can be subtracted from one another.
 Remind learners how we use an inverse operation to check the
accuracy of our answers.
Mental Maths (TG page 180)
Exercise 3.6 (LB page 17)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 62)
15
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 4: Numeric patterns
Duration: 4 hours
CAPS
Content
Term 1, Week 3
PATTERNS, FUNCTIONS AND ALGEBRA
2.1 Numeric patterns
 Investigate and extend patterns: investigate and extend numeric patterns looking for relationships or rules of
patterns
 Input and output values: determine input values, output values and rules for patterns and relationships using
flow diagrams
 Equivalent forms: determine equivalence of different descriptions of the same relationship or rule
Unit 1: Patterns and flow diagrams
Unit 2: Discover more numeric patterns
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Patterns and
flow diagrams
TEACHING METHODS / APPROACH
Duration: 120 minutes
 Ensure that learners are clear that multiplication and division are
inverse operations.
 Learners are to carry out exercises in which they use multiplication to
check division.
 Give learners additional similar examples to consolidate this process.
Mental Maths 10 minutes (TG page 180)
Exercise 4.1 – 4.4 (LB pages18 - 19)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 120)
LESSON 2:
Unit 2:
Discover
more numeric
patterns
Duration: 120 minutes
 Ensure that learners are able to recognise that when two numbers are
multiplied together, the answer remains the same if the numbers are
reversed.
 Explain that to multiply by a multiple of 100 or 1 000, it is easier first to
multiply by the multiple, and then by the 100 or 1 000.
Mental Maths 10 minutes (TG page 180)
Exercise 4.5 – 4.7 (LB page 20)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 122)
REVISION:
Topics: 3 - 4
Duration: 30 minutes
TG page: 19
16
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 5: Multiplication and division
Duration: 6 hours
CAPS
Content
Term 1, Weeks 4 - 5
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers, multiplication and division
 Number range for calculations: multiplication of at least whole -3-digit by 2-digit numbers
 Calculation techniques: using a range of techniques to perform and check calculations
 Number range for multiples and factors: multiples of 2-digit whole numbers to at least 100; Factors of 2 digit
whole numbers to at least 100
 Properties of whole numbers: recognize and use the commutative; associative; distributive properties
 Solving problems
Unit 1: Find factors and multiples
Unit 3: Divide whole numbers
Unit 2: Multiply two-digit numbers
Unit 4: Solve multiplication or division problems
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Find
factors and
multiples
TEACHING METHODS / APPROACH
Duration: 60 minutes
 Explain the difference between a factor and a multiple.
 Show the inverse relation between factors and multiples.
 Point out that a factor must not leave any remainder when it divides into
the given number.
 Remind learners that multiplying or dividing by 1 does not change a
number.
 Remind the learners that ‘between’ does not include the given boundary
numbers.
 Show the learners how to use factors to multiply in steps
Mental Maths 10 minutes (TG page 180)
Exercise 5.1 & 5.2 (LB page 22)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 16, 18)
LESSON 2:
Unit 2:
Multiply twodigit numbers
Duration: 120 minutes
 Use a diagram to show how to break up a group of 15 coins or counters.
 Ensure that the learners know how to use brackets.
 Show learners how to use factors together with brackets to do
multiplication in steps.
 Remind learners how important it is to first estimate the answer to check
that their answer makes sense.
Mental Maths 10 minutes (TG page 180)
Exercise 5.3 (LB page 23)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 114)
LESSON 3:
Unit 3: Divide
whole
numbers
Duration: 120 minutes
 Revise doubling and halving and how to set up a clue board.
 Explain again that multiplication and division are inverse operations.
 In all the examples, stress how important it is to first round off numbers
to estimate the answer.
 Show how they can use multiplication to check each division answer.
Mental Maths (TG page 180)
Exercise 5.4 (LB page 24)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 76)
LESSON 4:
Unit 4: Solve
multiplication
and division
problems
Duration: 60 minutes
 Suggest to learners that they follow the seven steps used to solve a word
problem.
 Encourage learners to draw pictures if this helps.
Mental Maths (TG page 180)
Exercise 5.5 (LB page 25)
Incorporate the exercises in DOE Workbook Term 1 and 2 (page 116)
FORMAL ASSESSMENT TASK
Assignment: Finding patterns: TG page 24
17
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Factor and multiple
wall charts,
counters,
multiplication fact
boards (tables)
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 6: Time
Duration: 6 hours
CAPS
Content
Term 1, Weeks 5 - 6
MEASUREMENT
4.4 Time
 Reading time and time instruments: read, tell and write time in 12-hour and 24-hour formats on both analogue
and digital instruments
 Reading calendars
 Calculations and problem solving related to time
 History of time
Unit 1: Read and write time
Unit 2: Convert units of time
Unit 3: Measure and calculate time
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Read
and write
time
LESSON 2:
Unit 2:
Convert units
of time
TEACHING METHODS / APPROACH
RESOURCES
Duration: 120 minutes
 Ask learners to use the hands on their cardboard clocks to find specific
times.
 Discuss analogue and digital clocks.
 Explain how to convert between 12-hour time and 24-hour time.
 Explain that we use seconds when measuring time in smaller units.
 Work with a calendar and encourage learners to investigate the number
of weeks and days in a month before trying to formalise the learning.
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
Mental Maths 10 minutes (TG page 180)
Exercise 6.1 & 6.2 (LB pages 28- 29)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 154)
Clocks made from
cardboard, watches
with second hands,
stopwatches, a
poster that shows
the units of time and
how to convert
them, calendars,
timetables
Duration: 120 minutes
 Revise how many minutes there are in 1 hour and how many seconds
there are in 1 minute.
 The focus of this lesson is on converting between seconds, minutes and
hours.
 Remember to revise the concept of ‘leap year’ and ‘decade’.
 Explain that in order to convert weeks to months and vice versa, they
should work on the premise that there are 4 weeks in a month.
Mental Maths 10 minutes (TG page 180)
Exercise 6.3 & 6.4 (LB page 30)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 154)
LESSON 3:
Unit 3:
Measure and
calculate time
Duration: 120 minutes
 Discuss with learners how they calculate the amount of time that has
elapsed and how much time until an activity is over.
 Discuss calendars and how we use them to plan our lives and to
prepare for certain events.
Mental Maths (TG page 180)
Exercise 6.5 & 6.6 (LB pages31 - 32)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 156)
REVISION:
Topics: 5 - 6
Duration: 30 minutes
TG page: 29
18
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 7: Data handling
Duration:10 hours
CAPS
Content
Term 1, Weeks 6 - 8
DATA HANDLING
5.1 Collecting and organising
5.2 Representing data: draw a variety of graphs to display and interpret data
5.3 Analysing, interpreting and reporting data: critically read and interpret data
Unit 1: Collect, organise and display data
Unit 4: Interpret and analyse data
Unit 2: Order data and find the mode
Unit 5: Think about where data comes from
Unit 3: Work through a data cycle
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Collect,
organise and
display data
TEACHING METHODS / APPROACH
RESOURCES
Duration: 180 minutes
 Ensure that learners are able to collect data, draw up tables to organise
and record data, work with tallies, and draw simple pictographs and
bar graphs.
 Revise the key words.
 Spend some time discussing the pictograph and the key on page 34 in
the Learner’s Book.
 Remind learners that the graph needs a title and that bars and the scale
on the other axis must be labelled.
 Make sure the learners can see that the pictograph and bar graph show
the same set of data in different ways.
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
Mental Maths 10 minutes (TG page 180)
Exercise 7.1 (LB page 35)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 44)
LESSON 2:
Unit 2: Order
data and find
the mode
Duration: 60 minutes
 Introduce the concept of mode / average practically by tossing a coin.
 Explain the term mode.
LESSON 3:
Unit 3: Work
through a
data cycle
Duration: 180 minutes
 Use the diagram on page 37 in the Learner’s Book to talk about the data
cycle.
 Point out that they also need to interpret and summarise the data that
they collect.
Mental Maths 10 minutes (TG page 180)
Exercise 7.2 (LB page 36)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 44)
Mental Maths (TG page 180)
Exercise 7.3 (LB page 37)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 174)
LESSON 4:
Unit 4:
Interpret and
analyse data
Duration: 90 minutes
 In this lesson the learners will practise interpreting data shown in
different graphs, in words and in tables.
 Read through the guidelines on page 38 with the class.
Mental Maths (TG page 180)
Exercise 7.4 & 7.5 (LB pages 39 - 40)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 176)
LESSON 5:
Think about
where data
comes from
Duration: 90 minutes
 The main focus in this lesson is for learners to understand that the
source of the data and the context in which it was collected can affect
the results of an investigation.
 Explain the meaning of the words ‘source’ and ‘context’.
Mental Maths (TG page 180)
Exercise 7.6 (LB page 41)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 176 )
19
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Statistics/survey
results
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 8: Properties of 2D shapes
Duration:7 hours
CAPS
Content
Term 1, Weeks 8 - 9
SPACE AND SHAPE
3.1 2-D shapes

Shapes learners need to know and name

Distinguish, describe, sort and compare shapes

Draw 2-D shapes on grid paper
Unit 1: What is a 2-D shape?
Unit 2: Identify polygons
Unit 3: Polygons and angles
Unit 4: Describe and draw 2-D shapes
LEARNING
ACTIVITY
LESSON 1:
Unit 1: What
is a 2-D
shape?
LESSON 2:
Unit 2:
Identify
polygons
TEACHING METHODS / APPROACH
Duration: 30 minutes
 Discuss with learners how to tell if something is 2-D or 3-D.
Mental Maths 10 minutes (TG page 180)
Exercise 8.1 (LB page 42)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 40)
Duration: 120 minutes
 Revise some basic information about 2-D shapes.
 Ensure that the learners know the names of shapes.
 Demonstrate the use of markers to show which sides are equal in
length.
Mental Maths 10 minutes (TG page 180)
Exercise 8.2 (LB page 43)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 168)
LESSON 3:
Unit 3:
Polygons and
angles
Duration: 150 minutes
 Ask learners to point out right angles in the classroom.
 Explain that polygons can have interior angles that are right angles, or
are bigger than or smaller than right angles.
Mental Maths 10 minutes (TG page 180)
Exercise 8.3 & 8.4 (LB pages44- 45)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 126)
LESSON 4:
Unit 4:
Describe and
draw 2-D
shapes
Duration: 120 minutes
 Discuss the properties of various shapes with the class and ask learners
to give either a similarity or a difference of the shapes.
REVISION:
Topics: 7 - 8
Duration: 30 minutes
TG page: 38
Mental Maths (TG page 180)
Exercise 8.5 (LB page 46)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 126)
20
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
3-D objects,
pictures, wall chart
of shapes,
cardboard,
matchsticks, grid
paper
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 9: Capacity and volume
Duration: 5 hours
CAPS
Content
Term 1, Week 10
MEASUREMENT
4.3 Capacity/Volume

Practical measuring of 3-D objects

Calculations and problem-solving related to capacity / volume
Unit 1: Estimate capacity
Unit 2: Estimate, measure and record capacity
Unit 3: Compare, order and record capacities
Unit 4: Convert units of capacity
Unit 5: Calculate and solve problems that involve capacity
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Estimate
capacity
TEACHING METHODS / APPROACH
Duration: 30 minutes
 Revise the terms capacity and volume.
 Show the learners a range of empty containers. Let them order them
from greatest to smallest capacity.
 Discuss how people use the word ‘capacity’ in different contexts.
Mental Maths 10 minutes (TG page 180)
Exercise 9.1 (LB page 48)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 38)
LESSON 2:
Unit 2:
Estimate,
measure and
record
capacity
Duration: 60 minutes
 Explain carefully how to measure the amount of liquid in a measuring
jug or cylinder.
 Ensure that the learners are aware that they should take the error of
parallax into account.
 Spend some time looking at a variety of scales to help learners to work
out what each division stands for.
Mental Maths 10 minutes (TG page 180)
Exercise 9.2 (LB page 49)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 38)
LESSON 3:
Unit 3:
Compare,
order and
record
capacities
Duration: 60 minutes
 This unit deals with converting units of capacity using litres and
millilitres. Revise the basic conversion facts.
 Revise how to multiply and divide by 1 000 quickly.
 Discuss why it is necessary to be able to convert millilitres to litres and
vice versa.
LESSON 4:
Unit 4:
Convert units
of capacity
Duration: 60 minutes
 Revise the conversion factors.
LESSON 5:
Calculate and
solve
problems that
involve
capacity
Duration: 90 minutes
 In this lesson, the focus is on calculating with units of capacity.
 Stress that one can only add and subtract capacities when using the
same units.
Mental Maths (TG page 180)
Exercise 9.3 (LB page 50)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 142 )
Mental Maths (TG page 180)
Exercise 9.4 (LB page 51)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 142)
Mental Maths (TG page 190)
Exercise 9.5 (LB page 53)
Incorporate the exercises in DOE Workbook Term 1 and 2 (page 142)
FORMAL ASSESSMENT TASK 60 minutes
Assessment Test: TG page: 44
21
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Containers,
measuring dropper
/syringe, sand,
teaspoons,
measuring jugs
Subject: Mathematics
TERM 2: PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 10: Count, order, compare and represent whole numbers
Duration: 1 hour
CAPS
Content
Term 2, Week 1
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers

Counting

Ordering

Representing

Place value of digits
Unit 1: Count, read and write whole numbers
Unit 2: Round off and compare whole numbers
LEARNING
TEACHING METHODS / APPROACH
ACTIVITY
LESSON 1:
Duration: 30 minutes
Unit 1: Count,
 Explain to the class how the number line works.
read and
 Get the learners to count forwards and backwards.
write whole
 Explain how to work out the intervals between the numbers, so that
they know by what amount to count forwards or backwards.
numbers
Mental Maths 10 minutes (TG page 180)
Exercise 10.1 (LB page 56)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 46)
LESSON 2:
Unit 2: Round
off and
compare
whole
numbers
Duration: 30 minutes
 Explain the rule for rounding off and introduce rounding to 1 000.
 Point out that the important digit when rounding to the nearest
thousand is the hundreds’ digit.
 Use a number line when explaining rounding off.
Mental Maths 10 minutes (TG page 180)
Exercise 10.2 & 10.3 (LB page 57)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 4)
22
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Place value cards,
number cards,
number lines, dice
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 11: Addition and subtraction
Duration: 5 hours
CAPS
Content
Term 2, Weeks 1 - 2
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers, addition and subtraction
 Number range for calculations: addition and subtraction of whole numbers with at least 5-digit numbers
 Calculation techniques: using a range of techniques to perform and check calculations
 Properties of whole numbers: recognize and use the commutative; associative; distributive properties
 Solving problems
Unit 1: Add whole numbers
Unit 2: Subtract whole numbers
Unit 3: Solve addition and subtraction problems
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Add
whole
numbers
TEACHING METHODS / APPROACH
RESOURCES
Duration: 120 minutes
 Give learners two three-digit numbers. Let them add a 1 000 to each
number and then add the two numbers together using the expanded
method.
 Ask the class how they would check the accuracy of the answers to a
calculation.
 Explain that there are easier methods that can be used when calculating
five- or six-digit numbers.
 Explain both methods carefully.
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
Mental Maths 10 minutes (TG page 180)
Exercise 11.1 &11.2 (LB pages 58 - 59)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 10)
LESSON 2:
Unit 2:
Subtract
whole
numbers
Duration: 120 minutes
 Repeat the same introductory activity that was done for Unit 1, using
subtraction instead of addition.
 Allow the learners to participate and explain the methods used.
 As this section is done over a few lessons, it may be necessary that you
explain only one or two methods per day to avoid confusing the
learners.
Mental Maths 10 minutes (TG page 180)
Exercise 11.3 – 11.5 (LB pages 60 - 61)
Incorporate the exercises in the BDOE Workbook Term 1 and 2 (page 12)
LESSON 3:
Unit 3: Solve
addition and
subtraction
problems
Duration: 60 minutes
 Revise the expanded column method.
 Revise the way they are to set out the problem solving calculations.
 Explain that they have to show all their working out.
REVISION:
Topics: 10-11
Duration: 30 minutes
TG page: 53
Mental Maths (TG page 180)
Exercise 11.6 (LB page 62)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 66)
23
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Place value cards
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 12: Common fractions
Duration: 5 hours
CAPS
Content
Term 2, Weeks 2 - 3
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.2 Common fractions

Concepts, skills and number range: describing and ordering; counting forwards and backwards; compare and order

Calculations with fractions: addition of common fractions with the same denominator; recognize, describe and use
the equivalence of division and fractions

Solving problems

Equivalent forms: recognise and use
Unit 1: Name and recognise fractions
Unit 4: Make fractions by sharing and grouping
Unit 2: Equivalent fractions
Unit 5: Add fractions
Unit 3: Count, compare and order fractions Unit 6: Solve problems that involve fractions
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Name
and recognise
fractions
LESSON 2:
Unit 2:
Equivalent
fractions
LESSON 3:
Unit 3: Count,
compare and
order
fractions
LESSON 4:
Unit 4: Make
fractions by
sharing and
grouping
LESSON 5:
Add fractions
LESSON 6:
Solve
problems that
involve
fractions
TEACHING METHODS / APPROACH
RESOURCES
Duration: 60 minutes
 All the fraction lessons must be very concrete and practical.
 Remind learners of the role of the denominator and the numerator.
 It is important for learners to realise that the two numbers are part of the same
concept.
 Encourage the learners to read each fraction that they work with, and to check that
they can write them in words.
Mental Maths 10 minutes (TG page 180)
Exercise 12.1 (LB page 64)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 28)
Duration: 30 minutes
 Learners must be able to recognise equivalent fractions from fraction walls and
division diagrams.
 All problems must be solved through direct physical comparisons.
 Explain how to use fraction strips.
Exercise 12.2 (LB page 65)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 84)
Duration: 60 minutes
 Use number lines to assist learners when counting in fractions.
 Spend a great deal of time discussing where to find one half on the number line, one
quarter, three quarters, and so on.
 Remind learners of how to use a fraction wall.
 Ensure that learners understand how to compare fractions using diagrams and
remind learners of the meanings of the symbols < and >.
Mental Maths (TG page 180)
Exercise 12.3 & 12.4 (LB page 66)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 86)
Duration: 30 minutes
 Show different fractions by sharing counters into equal groups.
Mental Maths (TG page180)
Exercise 12.5 (LB page 67)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 92)
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
Duration: 60 minutes
 Do plenty of practical adding with concrete apparatus.
 Keep stressing that the denominator stays the same and that only the numerators
are added.
Mental Maths (TG page 180)
Exercise 12.6 (LB page 68)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 42)
Duration: 60 minutes
 Do the example on the board to show how to apply each of the steps.
Mental Maths (TG page 180)
Exercise 12.7 (LB page 69)
Incorporate the exercises in DOE Workbook Term 1 and 2 (page 148)
24
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Wall charts, fraction
strips, fraction
shapes, number
lines, fraction
chains, geo-boards,
paper, fraction
diagram, counters,
oranges, apples
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 13: Length
Duration: 7 hours
CAPS
Content
Term 2, Weeks 3 - 4
MEASUREMENT
4.1 Length

Practical measuring of 2-D shapes and 3-D objects

Calculations and problem-solving related to length

Conversions
Unit 1: Estimate and measure length
Unit 2: Convert units of length
Unit 3: Calculate with units of length
Unit 4: Solve problems that involve length
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Estimate and
measure
length
TEACHING METHODS / APPROACH
RESOURCES
Duration: 120 minutes
 Start by asking the learners to estimate the lengths of objects.
 This lesson requires learners to work flexibly with different units of
length as they estimate and measure in millimetres, centimetres and
metres.
 Do not expect learners to be able to estimate lengths with any degree of
accuracy yet.
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
Mental Maths 10 minutes (TG page 180)
Exercise 13.1 (LB page 71)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 34)
LESSON 2:
Unit 2:
Convert units
of length
Duration: 60 minutes
 Establish that the learners understand that they must multiply by 10 to
convert from centimetres to millimetres and divide by 10 to convert
from millimetres to centimetres.
 Establish that 100 cm = 1 m.
 Introduce the concept of 1 000 m = 1 kilometre.
 Tell learners that kilo means one thousand, and reinforce the bigger to
smaller rule
Mental Maths 10 minutes (TG page 180)
Exercise 13.2 (LB page 72)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 34)
LESSON 3:
Duration: 120 minutes
Unit 3:
 This lesson focuses on the ability of learners to do operations with units
of length.
Calculate with
 Make sure that all the learners understand the rules that apply.
units of length
 Ensure that the learners always include the unit of measurement in the
answer.
Mental Maths (TG page180)
Exercise 13.3 (LB page 73)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 90)
LESSON 4:
Unit 4: Solve
problems that
involve length
Duration: 120 minutes
 Revise the meaning of the words sum, difference, order, etc. and
emphasise the importance of reading problems carefully to understand
what is being asked.
REVISION:
Topics:12 -13
Duration: 30 minutes
TG page: 63
Mental Maths (TG page 180)
Exercise 13.4 (LB page 74)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 160)
25
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Ruler, metre stick,
measuring tape,
trundle wheels,
wall charts, string
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 14: Multiplication
Duration: 6 hours
CAPS
Content
Term 5, Weeks 4 - 6
OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers, multiplication
 Number range for calculations: multiplication of at least whole 3-digit by 2-digit numbers
 Calculation techniques: using a range of techniques to perform and check calculations
 Number range for multiples and factors: multiples of 2-digits whole numbers to at least 100; factors of 2-digit
whole numbers to at least 100
 Properties of whole numbers: recognize and use the commutative; associative and distributive properties
 Solving problems
Unit 1: Work with factors and multiples
Unit 2: Multiply three-digit numbers by two-digit numbers
Unit 3: Division is the inverse of multiplication
Unit 4: Solve multiplication problems
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Work
with factors
and multiples
TEACHING METHODS / APPROACH
RESOURCES
Duration: 120 minutes
 Remind learners of the meaning of a factor and multiple.
 Show them how to use the rules for division to help them to find factors
of larger numbers.
 Revise how to estimate the answer first and then how to multiply by 10
and by 100.
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
Mental Maths 10 minutes (TG page 180)
Exercise 14.1 & 14.2 (LB pages 76 -77)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 14)
LESSON 2:
Unit 2:
Multiply
three-digit
numbers by
two-digit
numbers
Duration: 120 minutes
 The learners can multiply numbers by either splitting up a number or
by using factors.
 Remind learners how to break down numbers and form groups to
multiply.
 Encourage learners to combine the strategies of factors and of breaking
down numbers.
 Remind them to round off numbers first to estimate the answers.
Mental Maths 10 minutes (TG page 180)
Exercise 14.3 – 14.5 (LB pages 78 -79)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 16)
LESSON 3:
Unit 3:
Division is the
inverse of
multiplication
Duration: 60 minutes
 Remind learners how to use division to work out the missing number in
a multiplication statement.
 Remind learners that they can use the one operation to check the
answer of the other operation.
LESSON 4:
Unit 4: Solve
multiplication
problems
Duration: 60 minutes
 Make sure that they know that the word ‘per’ means ‘for one’, so that
per kilogram means for one kilogram.
Mental Maths (TG page 180)
Exercise 14.6 (LB page 80)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 114)
Mental Maths (TG page 180)
Exercise 14.7 (LB page 81)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 116)
FORMAL ASSESSMENT TASK 60 MINUTES
Test: TG page: 67
26
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Wall lists of factors
and multiples,
counters, magazines,
newspapers
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 15: Properties of 3D objects
Duration: 6 hours
CAPS
Content
Term 2, Weeks 6 - 7
SPACE AND SHAPE
3.2 Properties of 3-D objects
 Objects learners need to know and name; similarities and differences between cubes and rectangular prisms
 Distinguish, describe, sort and compare shapes
Unit 1: Recognise and name 3-D objects
Unit 2: Construct models of 3-D objects
Unit 3: Work with diagrams of 3-D objects
LEARNING
TEACHING METHODS / APPROACH
ACTIVITY
LESSON 1:
Duration: 120 minutes
Unit 1:
 Discuss the properties of 3-D objects.
Recognise and
 The focus of this lesson is on identifying 3-D objects.
name 3-D
shapes
Mental Maths 10 minutes (TG page 180)
Exercise 15.1 (LB page 83)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 40)
LESSON 2:
Unit 2:
Construct
models of 3-D
objects
Duration: 180 minutes
 Have models already constructed with copies of each face pasted onto
the face.
 Try to make the models much bigger than those described in the
exercise so that learners can see the faces clearly.
Mental Maths 10 minutes (TG page 180)
Exercise 15.2 (LB page 85)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 168)
LESSON 3:
Duration: 60 minutes
Unit 3: Work
 This lesson focuses on visualising different views of 3-D objects.
with diagrams Mental Maths (TG page 180)
of 3-D objects Exercise 15.3 (LB page 86)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 168)
REVISION:
Topics: 14-15
Duration: 30 minutes
TG page: 71
27
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
3-D objects, square
grid paper,
cardboard,
scissors, sticky
tape, rulers, pencil,
boxes
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 16: Geometric patterns
Duration: 4 hours
CAPS
Content
Term 2, Weeks 7 - 8
PATTERNS, FUNCTIONS AND ALGEBRA
2.2 Geometric patterns
 Investigate and extend patterns: investigate and extend geometric patterns looking for relationships or rules of
patterns
 Input and output values: determine input values, output values and rules for the patterns and relationships
using flow diagrams
 Equivalent forms: determine equivalence of different descriptions of the same relationship or rule
Unit 1: Describe and extend geometric patterns
Unit 2: Investigate geometric patterns
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Describe and
extend
geometric
patterns
LESSON 2:
Unit 2:
Investigate
geometric
patterns
TEACHING METHODS / APPROACH
Duration: 120 minutes
 This section consists of a worked example of a problem that learners
will be required to solve.
 Ensure that the learners understand what is expected of them,
especially identifying the rule for the pattern of matchsticks required.
Mental Maths 10 minutes (TG page 180)
Exercise 16.1 & 16.2 (LB pages 89 - 90)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 172)
Duration: 120 minutes
 Ensure that the learners understand the pattern in each example
displayed in the Learner’s Book.
Mental Maths 10 minutes (TG page 180)
Exercise 16.3 (LB page 91)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 172)
28
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Matchsticks,
counters, bottle
tops, small stones
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 17: Symmetry
Duration: 2 hours
CAPS
Content
Term 2, Week 8
SPACE AND SHAPE
3.3 Symmetry
 Recognise, draw and describe lines of symmetry in 2-D shapes
Unit 1: Line symmetry
Unit 2: Rotational symmetry
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Line
symmetry
TEACHING METHODS / APPROACH
Duration: 60 minutes

This lesson revises the learners’ existing knowledge of line symmetry.
 Ensure that all the learners understand the concepts of symmetry and lines
of symmetry.
Mental Maths 10 minutes (TG page 180)
Exercise 17.1 (LB page 92)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 70)
LESSON 2:
Unit 2:
Rotational
symmetry
Duration: 60 minutes
 Explain the terms ‘rotational symmetry’ and ‘order of rotational
symmetry’, using practical demonstration.
REVISION:
Topics:16 -17
Duration: 30 minutes
TG page: 77
Mental Maths 10 minutes (TG page 180)
Exercise 17.2 & 17.3 (LB page 94)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 70)
29
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Dotted grid paper,
small mirrors, stiff
paper, pliable
cardboard, shapes,
stickers, drawing
pins
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 18: Division
Duration: 8 hours
CAPS
Content
Term 2, Weeks 8 - 10
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers, division

Number range for calculations: division of at least whole 3-digit by 2-digit numbers

Counting, ordering and representing, and place value of digits

Number range for multiples and factors: multiples of 2-digit numbers to at least 100;factors of 2-digit whole numbers
to at least 100

Multiplication facts

Properties of whole numbers: recognise and use the commutative; associative; and distributive properties

Solving problems
Unit 1: Work with factors and multiples Unit 3: Divide by a two-digit number Unit 5: Compare two quantities by dividing
Unit 2: Use multiplication facts to divide Unit 4: Division with remainders
Unit 6: Solve problems that involve division
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Work
with factors
and multiples
TEACHING METHODS / APPROACH
Duration: 60 minutes


Revise how to find factor pairs for a number.
Point out that when factors are written in ascending order, the factor pairs are
formed from the outside in.
 Remind learners of the divisibility rules given in Topic 14.
Mental Maths 10 minutes (TG page 180)
Exercise 18.1 (LB page 96)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 18)
LESSON 2:
Unit 2: Use
multiplication
facts to divide
Duration: 120 minutes
LESSON 3:
Unit 3: Divide
by a two-digit
number
Duration: 120 minutes
LESSON 4:
Unit 4:
Division with
remainders
Duration: 60 minutes
LESSON
5:Unit 5:
Compare two
quantities by
dividing
Duration: 60 minutes
LESSON 6:
Unit 6: Solve
problems that
involve
division
Duration: 60 minutes


This is revision of the division work done in Topic 5.
Remind learners how to estimate an answer and then how to use multiplication
facts to divide by single digit numbers.
 Show the learners how to use multiplication to check their final answer.
Mental Maths 10 minutes (TG page 180)
Exercise 18.2 (LB page 97)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 20)


Remind learners of the inverse relation between division and multiplication.
Remind them to start with the division number times 10, and then use doubling and
halving to find more multiplication facts.
 Remind learners how to estimate an answer.
Mental Maths (TG page 180)
Exercise 18.3 (LB page 98)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 76)
 Remind learners of process on board.
Mental Maths (TG page 180)
Exercise 18.4 (LB page 99)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 24)

Revise rate work covered in Topic 14.The main idea is that if the learners know the
value for one unit, they can multiply to find the value for more units.
Mental Maths (TG page 180)
Exercise 18.5 (LB page 100)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 24)

Remind learners of the steps to solve word problems.
Mental Maths (TG page 180)
Exercise 18.6 (LB page 101)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 22)
FORMAL ASSESSMENT TASK 60 Minutes
Exam Practice: TG page: 82
30
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2
Wall charts of
factors and
multiples, clue
board charts,
newspapers,
magazines
Subject: Mathematics
TERM 3: PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 19: Common fractions
Duration: 5 hours
CAPS
Content
Term 3, Weeks 1 - 2
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.2 Common fractions

Describing and ordering fractions

Calculations with fractions: addition and subtraction of common fractions with same denominator

Solving problems

Equivalent forms: recognise and use equivalent forms
Unit 1: Add and subtract common fractions
Unit 2: Mixed numbers
Unit 3: Add and subtract mixed numbers
Unit 4: Solve problems that involve fractions
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Add
and subtract
common
fractions
LESSON 2:
Unit 2: Mixed
numbers
TEACHING METHODS / APPROACH
RESOURCES
Duration: 60 minutes
 Revise adding fractions with the same denominator and then introduce
the subtraction of fractions with the same denominator.
 Once you have done enough practical examples of addition and
subtraction with the class, move on to the exercises in the Learner’s
Book.
 Remind learners to read the fractions in words as they work, to help
them understand what they are doing.
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
Mental Maths 10 minutes (TG page 180)
Exercise 19.1 (LB page 104)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 36)
Fruit, chocolate
bars, cardboard
shapes, shapes cut
into equal pieces,
fraction number
lines
Duration: 90 minutes
 Take the time to establish the concept of mixed numbers clearly, as
much of the later fraction work depends on this work.
 Show that a number can have a whole part and a fraction part added
together.
 When working with mixed numbers, the learners should again use
concrete apparatus as much as possible.
Mental Maths 10 minutes (TG page 180)
Exercise 19.2 (LB page 105)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 44)
LESSON 3:
Unit 3: Add
and subtract
mixed
numbers
Duration: 90 minutes
 Encourage learners to add the whole numbers and then the fraction
parts.
 Show that we sometimes have to break down a whole number to
provide enough fractions for subtraction.
 Explain how to simplify an improper fraction in an answer.
Mental Maths (TG page180)
Exercise 19.3 (LB page 106)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 44)
LESSON 4:
Unit 4: Solve
problems that
involve
fractions
Duration: 60 minutes
 This is further practice in adding and subtracting mixed numbers, in the
context of word problems.
Mental Maths (TG page180)
Exercise 19.4 (LB page 107)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 46)
31
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 20: Mass
Duration: 5 hours
CAPS
Content
Term 3, Weeks 2 - 3
MEASUREMENT
4.2 Mass

Practical measuring of 3-D objects: estimating, measuring, recording, comparing and ordering

Calculations and problem-solving related to mass

Converting
Unit 1: Estimate, measure and compare masses
Unit 2: Convert units of mass
Unit 3: Calculate with units of mass
Unit 4: Solve problems that involve mass
LEARNING
TEACHING METHODS / APPROACH
ACTIVITY
LESSON 1:
Duration: 90 minutes
Unit 1:
 The learners need to be able to identify units of mass, which they could
use to measure the mass of the objects you have on display.
Estimate,
 Discuss the concept of mass.
measure and
 Discuss the units of mass.
compare
masses
Mental Maths 10 minutes (TG page 180)
Exercise 20.1 & 20.2 (LB pages 108 - 109)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 42)
LESSON 2:
Unit 2:
Convert units
of mass
Duration: 60 minutes
 Remind your learners how many grams make up 1 kg and how much
1 000 is.
 In this lesson, learners build on their ability to convert from grams and
kilograms and vice versa.
 Learners are introduced to converting using decimal numbers.
Mental Maths 10 minutes (TG page 180)
Exercise 20.3 (LB page 110)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 140)
LESSON 3:
Unit 3:
Calculate with
units of mass
Duration: 60 minutes
 Allow learners to suggest strategies which allow them to add numbers
(include mixed units).
LESSON 4:
Unit 4: Solve
problems that
involve mass
Duration: 90 minutes
 The focus of this unit is on using the four basic operations together with
the units of mass.
 Learners have to apply their knowledge of the four basic operations
together with decimal numbers.
 Learners have to convert between units of mass as they work with the
calculations.
 Remind your learners to read each problem through carefully.
Mental Maths (TG page 180)
Exercise 20.4 (LB page 111)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 140)
Mental Maths (TG page 180)
Exercise 20.5 (LB page 112)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 140)
REVISION:
Topics:19 -20
Duration: 30 minutes
TG page: 94
32
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Teabag, paper clip,
tomatoes, bananas,
scales, box of
matches, a wad of
cotton wool, small
ball of wool, brick,
textbook, shoe,
packet of flour
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 21: Count, order, compare and represent whole numbers
Duration: 1hour
CAPS
Content
Term 3, Week 3
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers

Counting

Ordering

Comparing

Representing

Place value of digits
Unit 1: Round off numbers
Unit 2: Expand and compare whole numbers
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Round
off numbers
TEACHING METHODS / APPROACH
RESOURCES
Duration: 30 minutes
 Revise rounding off to the nearest 10, 100 and 1 000.
 Ensure that the learners have a sound understanding of the rounding
off rules.
 Revise, which the significant digit is when rounding to a whole number.
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
Mental Maths 10 minutes (TG page 180)
Exercise 21.1 & 21.2 (LB page 114)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 4)
LESSON 2:
Unit 2:
Expand and
compare
whole
numbers
Duration: 30 minutes
 This lesson has two parts: writing numbers in their expanded form and
then comparing whole numbers using the symbols < and >.
 Explain the concept of expanding the number by addition.
 Revise the concept of ‘greater than’ and ‘less than’.
Mental Maths 10 minutes (TG page 180)
Exercise 21.3 & 21.4 (LB page 115)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 2)
33
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Number lines
marked in 10s, 100s
and 1 000s, dice,
number lines
marked in single
spaces, place value
table, place value
cards
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 22: Addition and subtraction
Duration: 5 hours
CAPS
Content
Term 3, Week 3 - 4
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers, addition and subtraction

Number range for calculations: addition and subtraction of whole numbers with at least 5-digit numbers

Calculation techniques: using a range of techniques to perform and check calculations

Properties of whole numbers: recognise and use the commutative, associative and distributive properties

Solving problems
Unit 1: Add numbers in columns
Unit 2: Subtract numbers in columns
Unit 3: Solve addition and subtraction problems
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Add
numbers in
columns
TEACHING METHODS / APPROACH
RESOURCES
Duration: 120 minutes
 In this lesson, the learners revise the partitioning method and then they
are introduced to the column method.
 Explain the column method using place value cards or place value
apparatus.
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
Mental Maths 10 minutes (TG page 180)
Exercise 22.1 (LB page 116)
Incorporate the exercises in the DBOE Workbook Term 3 and 4(page 6)
LESSON 2:
Unit 2:
Subtract
numbers in
columns
Duration: 90 minutes
 In this lesson, the learners revise the partitioning method and then they
are introduced to subtraction using the column method.
 Explain the column method using place value cards or place value
apparatus.
 Remember to start off using examples with no exchanging.
 Explain now how to use exchanging with the column method. Make
sure they understand this method.
Mental Maths 10 minutes (TG page 180)
Exercise 22.2 (LB page 117)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 74)
LESSON 3:
Unit 3: Solve
addition and
subtraction
problems
Duration: 90 minutes
 Reinforce the correct setting out of the ‘column method’ by writing up a
variety of addition and subtraction calculations for learners to
complete.
 Revise the correct method of setting out a problem solving calculation.
REVISION:
Topics:21-22
Duration: 30 minutes
TG page: 101
Mental Maths (TG page 180)
Exercise 22.3 (LB page 118)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 48)
34
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Place value cards,
place value
apparatus
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 23: Viewing objects
Duration: 3 hours
CAPS
Content
Term 3, Weeks 4 - 5
SHAPE AND SPACE
3.5 Viewing objects

Position and views: Link the position of viewer to views of single everyday objects, collections of everyday objects or
scenes from everyday life
Unit 1: Identify objects from different viewpoints
Unit 2: Match the view with the position of the viewer
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Identify
objects from
different
viewpoints
LESSON 2:
Unit 2: Match
the view with
the position
of the viewer
TEACHING METHODS / APPROACH
Duration: 60 minutes
 This unit gives learners the chance to engage with the position of the
viewer.
 Learners sort various pictures or photographs according to views or
according to the images of each object.
Mental Maths 10 minutes (TG page 180)
Exercise 23.1 (LB page 120)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 164)
Duration: 120 minutes
 This unit gives learners another chance to engage with the position of
the viewer of different photographs.
 Discuss plan views with learners and what they are used for.
Mental Maths 10 minutes (TG page 180)
Exercise 23.2 (LB page 121)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 166)
35
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Photographs,
pictures, wall chart
displaying different
viewpoints, floor
plan, 3-D objects
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 24: Properties of 2-D shapes
Duration: 4 hours
CAPS
Content
Term 3, Week 5
SPACE AND SHAPE
3.1 Properties of 2-D shapes

Shapes learners need to know and name are regular and irregular polygons

Distinguish, describe, sort and compare shapes
Unit 1: Identify, describe and compare 2D shapes
Unit 2: Draw 2-D shapes
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Identify,
describe and
compare 2-D
shapes
LESSON 2:
Unit 2: Draw
2-D shapes
TEACHING METHODS / APPROACH
Duration: 120 minutes
 Revise the basic features of polygons.
Mental Maths 10 minutes (TG page 180)
Exercise 24.1 – 24.3 (LB pages 122 - 124)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 34)
Duration: 120 minutes
 To create a geometric pattern, demonstrate the steps for the class to
ensure that all the learners understand what to do.
 Encourage learners to be as creative as possible.
 Encourage learners to present their patterns to the class and to
verbalise their plan and which shapes have been included in the pattern
and where the lines of symmetry would be.
Mental Maths 10 minutes (TG page 180)
Exercise 24.4 & 24.5 (LB pages 125 - 126)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 64)
REVISION:
Topics:23 -24
Duration: 30 minutes
TG page: 107
36
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Paper, square grid
paper, scissors,
coloured paper,
rulers, pencil
crayons
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 25: Transformations
Duration: 3 hours
CAPS
Content
Term 3, Weeks 5 - 6
SHAPE AND SPACE
3.4 Transformations

Use transformations to create composite shapes

Use transformations to create tessellations

Describe patterns
Unit 1: Use transformations to describe the movement of shapes
Unit 2: Use transformations to make composite shapes
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Use
transformations
to describe the
movement of
shapes
LESSON 2:
Unit 2: Use
transformations
to make
composite
shapes
TEACHING METHODS / APPROACH
Duration: 60 minutes
 It is important that the learners grasp the differences between the
different transformations.
Mental Maths 10 minutes (TG page 180)
Exercise 25.1 (LB page 128)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 66)
Duration: 90 minutes
 In this unit, the learners will make interesting patterns and
tessellations from different geometric shapes.
 Show learners how to construct patterns for themselves.
Mental Maths 10 minutes (TG page 180)
Exercise 25.2 (LB page 129)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 106)
37
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Pictures of patterns,
squared grid paper,
rulers, fabric, quilts,
knitting patterns
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 26: Temperature
Duration: 2 hours
CAPS
Content
Term 3, Week 6
MEASUREMENT
4.5 Temperature

Practical measuring of temperature

Calculations and problem-solving related to temperature
Unit 1: Estimate temperature
Unit 2: Measure temperature
Unit 3: Read and order temperatures
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Estimate
temperature
LESSON 2:
Unit 2:
Measure
temperature
TEACHING METHODS / APPROACH
RESOURCES
Duration: 30 minutes
 Display pictures and ask learners which pictures they associate with
each of the four seasons of the year.
 Ask the learners to identify words that relate directly to temperature.
 Introduce and explain the notation of °C.
 Make sure that the learners understand the melting point of ice and the
boiling point of water.
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
Mental Maths 10 minutes (TG page 180)
Exercise 26.1 (LB page 130)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 122)
Pictures of different
seasons,
thermometers, map
of South Africa
Duration: 60 minutes
 Explain the purpose and use of thermometers.
 Discuss the weather forecast and what the learners think a weather
forecast shows us.
 Explain the terms, minimum and maximum temperatures.
Mental Maths 10 minutes (TG page 180)
Exercise 26.2 (LB page 131)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 124)
LESSON 3:
Unit 3: Read
and order
temperatures
Duration: 30 minutes
 Explain how temperatures can be shown as negative numbers using the
‘-‘ symbol.
 Discuss temperatures below 0 and its relation to freezing point if this
was not dealt with in unit 1.
Mental Maths (TG page 180)
Exercise 26.3 (LB page 132)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 124)
REVISION:
Topics: 25-26
Duration: 30 minutes
TG page: 113
38
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 27: Data handling
Duration: 9 hours
CAPS
Content
Term 3, Weeks 7 - 8
DATA HANDLING
5.1 Collecting and organising data

Collect data using tally marks and tables for recording; order data
5.2 Representing data

Draw a variety of graphs to display and interpret data
5.3 Analysing, Interpreting and reporting data

Critically read and interpret data

Analyse data

Summarise data verbally and in short written
Unit 1: Collect, organise and display dataUnit 4: Interpret and analyse data
Unit 2: Find the modeUnit 5: Compare graphs
Unit 3: Work through a data cycle
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Collect,
organise and
display data
LESSON 2:
Unit 2: Find
the mode
TEACHING METHODS / APPROACH
Duration: 150 minutes
 Revise the concepts covered in Topic 7.
 Let the learners work through Exercise 7.1 individually. Check their
answers to make sure each one has mastered the basic concepts.
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
Mental Maths 10 minutes (TG page 180)
Exercise 27.1 & 27.2 (LB pages 134 - 135)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 174)
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Duration: 90 minutes
 Remind the learners what the mode is.
 Introduce the term bimodal.
 Make sure everyone can order data sets and find the mode of a set of
data.
 Check that the learners are able to work with two sets of numbers.
Mental Maths 10 minutes (TG page 180)
Exercise 27.3 &27.4 (LB pages 136 - 137)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 176)
LESSON 3:
Unit 3: Work
through a
data cycle
Duration: 120 minutes
 Revise the steps in the data cycle.
 Point out that they also need to interpret and summarise the data that
they collect.
LESSON 4:
Unit 4:
Interpret and
analyse data
Duration: 60 minutes
 In this unit the learners will practise interpreting data shown in
different graphs, in words and in tables.
 Learners will also answer questions about the data and represent the
same data in different ways.
Mental Maths (TG page 180)
Exercise 27.5 (LB page 138)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 54)
Mental Maths (TG page 180)
Exercise 27.6 (LB page 139)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 56)
LESSON 5:
Compare
graphs
RESOURCES
Duration: 120 minutes
 In this lesson, we aim to formalise and develop the concept that the
source of data and the ways in which it is collected can affect the
results.
Mental Maths (TG page 180)
Exercise 27.7 & 27.8 (LB pages 141 - 142)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 58)
FORMAL ASSESSMENT TASK
Project: Data handling: TG page: 119
39
Statistics
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 28: Numeric patterns
Duration: 5 hours
CAPS
Content
Term 3, Weeks 8 - 9
PATTERNS, FUNCTIONS AND ALGEBRA
2.1 Numeric patterns

Investigate and extend patterns: investigate and extend numeric patterns looking for relationships or rules of
patterns

Input and output values: determine input values, output values and rules for patterns and relationships

Equivalent forms: determine equivalence of different descriptions of the same relationship or rule presented
Unit 1: Create number patterns
Unit 2: Find the rule for a number pattern
Unit 3: Investigate number sequences
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Create
number
patterns
TEACHING METHODS / APPROACH
Duration: 90 minutes
 Give learners a few examples of simple sequences for them to continue
so that they are familiar with using a rule to calculate outputs from
inputs as well as with continuing a sequence.
Mental Maths 10 minutes (TG page 180)
Exercise 28.1 (LB page 146)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 120)
LESSON 2:
Unit 2: Find
the rule for a
number
pattern
Duration: 90 minutes
 Explain to learners what the possibilities are that they need to try in
order to find the rule.
LESSON 3:
Unit 3:
Investigate
number
sequences
REVISION:
Topics: 27-28
Duration: 120 minutes
 Explain to learners what a sequence of numbers is.
Mental Maths 10 minutes (TG page 180)
Exercise 28.2 (LB page 147)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 122)
Mental Maths (TG page 180)
Exercise 28.3 (LB page 148)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 80)
Duration: 30 minutes
TG page: 123
40
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 29: Multiplication
Duration: 7 hours
CAPS
Content
Term 3, Weeks 9 - 10
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers, multiplication

Number range for calculations: multiplication of at least whole 3-digit by 1-digit numbers

Calculation techniques: use a range of techniques to perform and check calculations

Counting, ordering, representing and place value of digits

Number range for multiples and factors: multiples of 2-digit numbers to at least 100; factors of 2-digit whole
numbers to at least 100

Multiplication facts

Properties of whole numbers: recognize and use the commutative, associative and distributive properties

Solving problems
Unit 1: Multiples and factors
Unit 2: Multiply three-digit numbers by two-digit numbers
Unit 3: Compare quantities
Unit 4: Solve multiplication problems
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Multiples and
factors
TEACHING METHODS / APPROACH
RESOURCES
Duration: 60 minutes
 Remind the learners that special numbers have an inverse relation, so
that if 3 × 5 forms the multiple 15, we can also write 15 ÷ 5 = 3 so that 3
is a factor of 15.
 Revise the division rules given in Topic 14 to help learners to identity
factors.
 Revise how to multiply by 1 000.
 Show how to use factors to multiply by a multiple of 1 000.
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
Mental Maths 10 minutes (TG page 180)
Exercise 29.1 & 29.2 (LB page 150)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (pages 5, 10, 12)
Wall lists of
multiples and
factors
LESSON 2:
Unit 2:
Multiply
three-digit
numbers by
two-digit
numbers
Duration: 120 minutes
 This unit provide more practice in multiplying by two-digit numbers.
 Learners will break down numbers to multiply in steps.
 Remind learners how to round off numbers to estimate the final
answer.
LESSON 3:
Unit 3:
Compare
quantities
Duration: 120 minutes
 Revise work done in Topic 14.
 Introduce the ‘/’ notation for a rate.
LESSON 4:
Unit 4: Solve
multiplication
problems
Duration: 120 minutes
 Revise the steps for solving word problems.
 Ensure that all the steps are followed and no short cuts taken.
Mental Maths 10 minutes (TG page 180)
Exercise 29.3 (LB page 151)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 14)
Mental Maths (TG page 180)
Exercise 29.4 (LB page 152)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 24)
Mental Maths (TG page 180)
Exercise 29.5 (LB page 153)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 16)
41
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Subject: Mathematics
TERM 4: PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 30: Count, order, compare and represent whole numbers
Duration: 1 hours
CAPS
Content
Term 4, Week 1
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers

Counting

Ordering

Comparing

Representing

Place value of digits
Unit 1: Round off large numbers
Unit 2: More practice with whole numbers
LEARNING
ACTIVITY
LESSON
1:Unit 1:
Round off
large numbers
LESSON 2:
Unit 2: More
practice with
whole
numbers
TEACHING METHODS / APPROACH
Duration: 30 minutes
 Ask the learners to explain the rules that need to be followed when
rounding off, and then apply the rules.
Mental Maths 10 minutes (TG page 180)
Exercise 30.1 (LB page 156)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 72 )
Duration: 30 minutes
 In this chapter learners work with larger six digit numbers.
Mental Maths 10 minutes (TG page 180)
Exercise 30.2 & 30.3 (LB page 157)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 84)
42
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Number line, dice,
place value table,
place value cards
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 31: Addition and subtraction
Duration: 5 hours
CAPS
Content
Term 4, Weeks 1 - 2
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers, addition and subtraction

Number range for calculating: addition and subtraction of whole numbers of at least 5 digits

Calculation techniques: use a range of techniques to perform and check calculations

Number range for multiples and factors: multiples of 2-digit numbers to at least 100

Properties of whole numbers: recognise and use the commutative and associative properties

Solving problems
Unit 1: Add numbers in columns
Unit 2: Subtract numbers in columns
Unit 3: Solve addition and subtraction problems
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Add
numbers in
columns
TEACHING METHODS / APPROACH
Duration: 120 minutes
 In this lesson, the learners revise the column method and inverse
operations.
Mental Maths 10 minutes (TG page 180)
Exercise 31.1 (LB page 158)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 56)
LESSON 2:
Unit 2:
Subtract
numbers in
columns
Duration: 90 minutes
 In this lesson, the learners revise the column method for subtraction.
 Start by using examples that require no exchanging.
LESSON 3:
Unit 3: Solve
addition and
subtraction
problems
Duration: 90 minutes
 Reinforce the correct setting out of the ‘column method’.
 Remind learners to show all their working out.
REVISION:
Topics:30 -31
Duration: 30 minutes
TG page: 135
Mental Maths 10 minutes (TG page 180)
Exercise 31.2 (LB page 159)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 64)
Mental Maths (TG page 180)
Exercise 31.3 (LB page 160)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 72)
43
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Place value cards,
place value
apparatus
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 32: Properties of 3-D objects
Duration: 5 hours
CAPS
Content
Term 4, Weeks 2 - 3
SPACE AND SHAPE
3.2 Properties of 3-D objects

Objects learners need to know and name; similarities and differences between cubes and rectangular prisms

Distinguish, describe, sort and compare shapes
Unit 1: Recognise and name 3-D objects
Unit 2: Sort and compare 3-D objects
LEARNING
TEACHING METHODS / APPROACH
ACTIVITY
LESSON 1:
Duration: 120 minutes
Unit 1:
 The focus of this unit is on revising the names and features of 3-D
objects.
Recognise and
 Ensure that you have models of some of these shapes available for
name 3-D
learners to work with.
objects
Mental Maths 10 minutes (TG page 2180)
Exercise 32.1 (LB page 162)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 28)
LESSON 2:
Unit 2: Sort
and compare
3-D objects
Duration: 180 minutes
 Discuss that all 3-D objects have three dimensions in common, but
there are certain other features that make some of them more alike
than others.
 Learners are to identify similarities and the differences – the things the
objects have in common and the features that distinguish them.
Mental Maths 10 minutes (TG page 180)
Exercise 32.2 & 32.2 (LB page 165)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 30)
44
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Wall chart showing
3-D objects, 3-D
models
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 33: Common fractions
Duration: 5 hours
CAPS
Content
Term 4, Weeks 3 - 4
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.2 Common fractions

Describing and ordering fractions

Calculations with fractions

Solving problems

Equivalent forms: recognise and use equivalent forms
Unit 1: Compare and order fractions
Unit 2: Calculate fractions of whole numbers
Unit 3: Solve problems that involve fractions
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Compare and
order
fractions
TEACHING METHODS / APPROACH
Duration: 60 minutes
 Revise the meaning of ascending and descending order.
 Ensure that the learners understand when the numerator is 1; a larger
denominator means a smaller fraction, because the whole is being
divided into more pieces.
 Revise the meaning of the symbols < and >.
Mental Maths 10 minutes (TG page 180)
Exercise 33.1 (LB page 166)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 86)
LESSON 2:
Unit 2:
Calculate
fractions of
whole
numbers
Duration: 120 minutes
 Learners are to practise sharing counters or buttons into equal groups,
to find a fraction of the whole number.
 The idea of sharing and choosing groups is emphasised, rather than the
technique of dividing by the denominator and multiplying by the
numerator.
LESSON 3:
Unit 3: Solve
problems that
involve
fractions
Duration: 120 minutes
 Refer to the wall chart of steps in solving problems and revise the steps.
 Point out that they must also remember how to add and subtract
fractions with the same denominator.
REVISION:
Topics: 32-33
Duration: 30 minutes
TG page: 141
Mental Maths 10 minutes (TG page 180)
Exercise 33.2 (LB page 167)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 148)
Mental Maths (TG page180)
Exercise 33.3 (LB page 168)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 46)
FORMAL ASSESSMENT TASK
Assignment: Travelling times and distance
TG page: 142
45
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Fraction wall,
fraction strips,
fraction number
lines, coins,
matchsticks, buttons
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 34: Division
Duration: 7 hours
CAPS
Content
Term 4, Week 4 - 5
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers, division

Number range for calculations: division of at least whole 3-digit by 2-digit numbers.

Calculation techniques: use a range of techniques to perform and check calculations

Counting, ordering and representing, and place value of digits

Number range for multiples and factors: multiples of 2-digit numbers to at least 100; factors of 2-digit whole
numbers to at least 100

Multiplication facts

Properties of whole numbers: recognise and use the commutative; associative and distributive properties

Solving problems
Unit 1: Factors and multiples
Unit 2: Inverse operations
Unit 3: Use a clue board for division
Unit 4: Solve division problems
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Factors and
multiples
TEACHING METHODS / APPROACH
Duration: 60 minutes
 Revise how to find a factor pair for a number.
 Point out to learners that if they have one factor pair, they can use
division and multiplication to form another factor pair.
 Show how you can write a number as a product of its smallest factors.
Mental Maths 10 minutes (TG page 180)
Exercise 34.1 (LB page 172)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 12)
LESSON 2:
Unit 2:
Inverse
operations
Duration: 60 minutes
 Revise that multiplication and division are inverse operations.
 Remind learners that they can use an inverse operation to check an
answer.
Mental Maths 10 minutes (TG page 180)
Exercise 34.2 (LB page 173)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 20)
LESSON 3:
Unit 3: use a
clue board for
division
Duration: 180 minutes
 Remind learners of how important it is to estimate an answer first and
also to use an inverse operation to check their answer.
 Ensure that learners can write down an inverse statement.
Mental Maths (TG page 180)
Exercise 34.3 (LB page 174)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 22)
LESSON 4:
Unit 4: Solve
division
problems
Duration: 120 minutes
 Remind learners of the steps that they should follow to solve word
problems, including estimating and checking their answers.
Mental Maths (TG page 180)
Exercise 34.4 (LB page 175)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 26)
46
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2 and
Term 3 and 4
Factors and
multiples wall chart,
clue board wall
charts, problem
solving steps chart
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 35: Perimeter, area and volume
Duration: 7 hours
CAPS
Content
Term 4, Week 6 - 7
MEASUREMENT
4.6 Perimeter, area and volume

Perimeter: measure perimeter

Measurement of area: find areas of regular and irregular shapes

Measurement of volume: find volume/capacity of objects
Unit 1: Measure perimeterUnit 4: Volume
Unit 2: Calculate perimeterUnit 5: Find the volume of a container
Unit 3: Area
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Measure
perimeter
LESSON 2:
Unit 2:
Calculate
perimeter
TEACHING METHODS / APPROACH
RESOURCES
Duration: 90 minutes
 Revise the concept of measuring perimeter by demonstrating how to do
so.
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
Mental Maths 10 minutes (TG page 180)
Exercise 35.1 (LB page 176)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 158)
Duration: 60 minutes
 Ensure that the learners understand the concept of scale drawing.
 Work through the worked example with the class to make sure they
remember and understand this concept.
Mental Maths 10 minutes (TG page 180)
Exercise 35.2 (LB page 177)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 158)
LESSON 3:
Unit 3: Area
Duration: 120 minutes
 Revise what the learners learnt in Grade 5.
 Read through the introductory text and work through the worked
examples with them.
 Remind them to follow the procedure you have taught them for
estimating.
Mental Maths (TG page 180)
Exercise 35.3 & 35.4 (LB pages 178 - 179)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 114)
LESSON 4:
Duration: 120 minutes
Unit 4: Volume
 Remind the learners that volume and capacity are related.
 Revise the terms and the concepts.
 Remind the learners that two differently shaped objects can have the
same volume.
 Ensure that the learners are able to work with diagrams of objects, and
not just concrete objects.
Mental Maths (TG page 180)
Exercise 35.5 & 35.6 (LB pages 180 - 181)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 116)
LESSON 5:
Find the
volume of a
container
Duration: 60 minutes
 Explain that you can find the volume of a box in cube units by packing it
full of cubes. You can also do it by building a model of the same volume
next to it and then counting the cubes.
Mental Maths (TG page 180)
Exercise 35.7 (LB page 182)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 118)
REVISION:
Topics: 34 35
Duration: 30 minutes
TG page: 151
47
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2 and
Term 3 and 4
Rulers, grid paper,
containers, blocks,
unifix cubes
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 36: Position and movement
Duration: 2 hours
CAPS
Content
Term 4, Week 7
SHAPE AND SPACE
3.6 Position and movement

Location and directions
Unit 1: Locate positions on a grid
Unit 2: Locate positions on a map
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Locate
positions on a
grid
TEACHING METHODS / APPROACH
Duration: 60 minutes
 This unit introduces the learners to locating positions on a grid
consisting of labelled columns and rows.
 Guide learners to ‘read’ the grid by using the given letter to locate the
column and then use the given number to find the row.
Mental Maths 10 minutes (TG page 180)
Exercise 36.1 (LB page 184)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 170)
LESSON 2:
Unit 2: Locate
positions on a
map
Duration: 60 minutes
 Learners already have the basic knowledge needed for this unit; they
will need to know how to trace between positions.
 Ensure that learners are able to describe grid references.
Mental Maths 10 minutes (TG page 180)
Exercise 36.2 (LB page 187)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 170)
48
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Square grid paper,
highlighters, rulers
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 37: Transformations
Duration: 4 hours
CAPS
Content
Term 4, Week 7 - 8
SHAPE AND SPACE
3.4 Transformation

Use transformations to make composite shapes

Use transformations to make tessellations

Describe patterns
Unit 1: Use transformations to create tessellations
Unit 2: Describe patterns around us
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Use
transformations
to create
tessellations
TEACHING METHODS / APPROACH
Duration: 120 minutes
 Make a display of pictures of objects with tessellations on them.
Discuss with the class which shape is being tessellated for each
pattern.
 Point out particular parts of the pattern and try to get learners to
describe the type of transformation that is being used.
Mental Maths 10 minutes (TG page 180)
Exercise 37.1 (LB page 189)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 62)
LESSON 2:
Unit 2: Describe
patterns around
us
Duration: 120 minutes
 Show learners the display of tessellating patterns that you have put
up and discuss the shapes or objects being tessellated in each
pattern.
 Allow learners to recreate the pattern.
Mental Maths 10 minutes (TG page 180)
Exercise 37.2 (LB page 190)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 64)
REVISION:
Topics: 36 - 37
Duration: 30 minutes
TG page: 157
FORMAL ASSESSMENT TASK 60 Minutes
Investigation – Palindromes
TG page: 158
49
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Brochures, pictures,
honeycomb,
wooden flooring,
square grid paper
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 38: Geometric patterns
Duration: 2 hours
CAPS
Content
Term 4, Week 8 - 9
PATTERNS, FUNCTIONS AND ALGEBRA
2.2 Geometric patterns

Investigate and extend patterns: investigate and extend geometric patterns looking for relationships or rules of
patterns

Input and output values: determine input values, output values and rules for the patterns and relationships

Equivalent forms: determine equivalence of different descriptions of the same relationship or rule presented
Unit 1: Extend a geometric pattern
Unit 2: Change the shape of a geometric pattern
Unit 3: A different type of geometric pattern
Unit 4: Another type of pattern
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Extend
a geometric
pattern
TEACHING METHODS / APPROACH
Duration: 30 minutes
 The exercises have been structured along the same requirements that
were used in Topic 16.
Mental Maths 10 minutes (TG page 180)
Exercise 38.1 (LB page 194)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 82)
LESSON 2:
Unit 2:
Change the
shape of a
geometric
pattern
LESSON 3:
Unit 3: A
different type
of geometric
pattern
Duration: 30 minutes
 The exercises have been structured along the same requirements that
were used in Topic 16.
LESSON 4:
Unit 4:
Another type
of pattern
Duration: 30 minutes
 The exercises have been structured along the same requirements that
were used in Topic 16.
Mental Maths 10 minutes (TG page 180)
Exercise 38.2 (LB page 195)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 82)
Duration: 30 minutes
 The exercises have been structured along the same requirements that
were used in Topic 16.
Mental Maths (TG page 180)
Exercise 38.3 (LB page 196)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 106)
Mental Maths (TG page 180)
Exercise 38.4 (LB page 197)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 106)
50
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Matchsticks
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 39: Number sentences
Duration: 3 hours
CAPS
Content
Term 4, Week 9
PATTERNS, FUNCTIONS AND ALGEBRA
2.3 Number sentences

Write number sentences to describe problem situations; solve and complete number sentences by inspection, trial
and improvement

Check solution by substitution
Unit 1: Use number sentences to solve problems
Unit 2: Multiple choice questions
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Use
number
sentences to
solve
problems
TEACHING METHODS / APPROACH
RESOURCES
Duration: 120 minutes
 When teaching, encourage learners to read the question carefully,
preferably aloud.
 Associate the numbers given in the question with the quantities that the
numbers represent.
 Explain all the steps required when solving problems.
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
Mental Maths 10 minutes (TG page 180)
Exercise 39.1 (LB page 198)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 52)
LESSON 2:
Unit 2:
Multiple
choice
questions
Duration: 60 minutes
 The emphasis here is on a particular way of testing learners’ knowledge
and understanding; and also the concept of equivalent statements.
 Ensure that learners give the answer as the letter representing the
answer, and not the answer itself.
 Show learners how to recognise when there might be more than one
correct answer.
Mental Maths 10 minutes (TG page 180)
Exercise 39.2 (LB page 200)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 84)
REVISION:
Topics:38 -39
Duration: 30 minutes
TG page: 165
51
DBOE Mathematics
Grade 5 Workbook
Term 3 and 4
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 5
Grade: 5
Topic 40: Probability
Duration: 2 hours
CAPS
Content
Term 4, Week 10
DATA HANDLING
5.2 Probability

Perform simple repeated events and list possible outcomes
Unit 1: List possible outcomes of experiments
Unit 2: Record outcomes of experiments
LEARNING
ACTIVITY
Unit 1: List
possible
outcomes of
experiments
TEACHING METHODS / APPROACH
Duration: 30 minutes
 Remind the learners that they did experiments with coins and dice in
Grade 5.
 Demonstrate various experimental activities and discuss possible
outcomes of these experiments with the learners.
 Learners must be able to list possible outcomes.
Mental Maths 10 minutes (TG page 180)
Exercise 40.1 (LB page 202)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 108)
LESSON 2:
Duration: 90 minutes
Unit 2: Record
 Revise the concept of a tally table and introduce the word frequency.
outcomes of
 Explain that an important concept in experimental probability is that it
is okay to get different results when you perform an experiment.
experiments
Mental Maths 10 minutes (TG page 180)
Exercise 40.2 – 40.4 (LB pages 203 - 205)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 110)
FORMAL ASSESSMENT TASK 60 Minutes
Exam practice: TG page: 169
NOTES
52
RESOURCES
Platinum
Mathematics Grade
5 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 5 Workbook
Term 1 and 2 and
Term 3 and 4
Dice, coin,
cardboard, round
objects, toothpicks,
nails, colouring
pencils
NOTES
53
NOTES
54
NOTES
55
NOTES
56
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