INTERMEDIATE PHASE
GRADE 6 LESSON PLANS
2012
Platinum MATHEMATICS
1
CONTENTS PAGE
MATHEMATICS WORKSCHEDULE GRADE 6 ................................................................................... 3
TERM 1.....................................................................................................................................................................3
TERM 2.....................................................................................................................................................................4
TERM 3.....................................................................................................................................................................5
TERM 4.....................................................................................................................................................................6
EXEMPLAR TEACHING GUIDELINE – GRADE 6 .............................................................................. 7
TOPIC 1: COUNT, ORDER, COMPARE AND REPRESENT WHOLE NUMBERS ......................................................7
TERM 1: PLATINUM LESSON PLANS – GRADE 6 ......................................................................... 11
TOPIC 1: COUNT, ORDER, COMPARE AND REPRESENT WHOLE NUMBERS ................................................... 11
TOPIC 2: NUMBER SENTENCES .......................................................................................................................... 12
TOPIC 3: ADDITION AND SUBTRACTION ............................................................................................................ 13
TOPIC 4: COMMON FRACTIONS ........................................................................................................................... 14
TOPIC 5: TIME ....................................................................................................................................................... 15
TOPIC 6: PROPERTIES OF 2D SHAPES................................................................................................................ 16
TOPIC 7: DATA HANDLING................................................................................................................................... 17
TOPIC 8: NUMERIC PATTERNS ............................................................................................................................ 18
TERM 2: PLATINUM LESSON PLANS – GRADE 6 ......................................................................... 19
TOPIC 9: COUNT, ORDER, COMPARE AND REPRESENT WHOLE NUMBERS ................................................... 19
TOPIC 10: MULTIPLICATION ............................................................................................................................... 20
TOPIC 11: PROPERTIES OF 3-D OBJECTS .......................................................................................................... 21
TOPIC 12: GEOMETRIC PATTERNS ..................................................................................................................... 22
TOPIC 13: SYMMETRY .......................................................................................................................................... 23
TOPIC 14: DIVISION.............................................................................................................................................. 24
TOPIC 15: DECIMAL FRACTIONS......................................................................................................................... 25
TOPIC 16: CAPACITY AND VOLUME .................................................................................................................... 26
TERM 3: PLATINUM LESSON PLANS – GRADE 6 ......................................................................... 27
TOPIC 17: COUNT, ORDER, COMPARE AND REPRESENT WHOLE NUMBERS ................................................. 27
TOPIC 18: MASS .................................................................................................................................................... 28
TOPIC 19: ADDITION AND SUBTRACTION ......................................................................................................... 29
TOPIC 20: VIEWING OBJECTS .............................................................................................................................. 30
TOPIC 21: PROPERTIES OF 2D SHAPES ............................................................................................................. 31
TOPIC 22: TRANSFORMATIONS .......................................................................................................................... 32
TOPIC 23: PERCENTAGES .................................................................................................................................... 33
TOPIC 24: TEMPERATURE ................................................................................................................................... 34
TOPIC 25: DATA HANDLING ................................................................................................................................ 35
TOPIC 26: NUMERIC PATTERNS ......................................................................................................................... 36
TOPIC 27: LENGTH ............................................................................................................................................... 37
TERM 4: PLATINUM LESSON PLANS – GRADE 6 ......................................................................... 38
TOPIC 28: COUNT, ORDER, COMPARE AND REPRESENT WHOLE NUMBERS ................................................. 38
TOPIC 29: MULTIPLICATION ............................................................................................................................... 39
TOPIC 30: COMMON FRACTIONS ........................................................................................................................ 40
TOPIC 31: PROPERTIES OF 3-D OBJECTS .......................................................................................................... 41
TOPIC 32: HISTORY OF MEASUREMENT ............................................................................................................ 42
TOPIC 33: PERIMETER, AREA AND VOLUME ..................................................................................................... 43
TOPIC 34: DIVISION.............................................................................................................................................. 44
TOPIC 35: NUMBER SENTENCES......................................................................................................................... 45
TOPIC 36: TRANSFORMATIONS .......................................................................................................................... 46
TOPIC 37: POSITION AND MOVEMENT .............................................................................................................. 47
TOPIC 38: PROBABILITY ...................................................................................................................................... 48
2
MATHEMATICS WORKSCHEDULE GRADE 6
TERM 1
WEEKS TOPIC
1
1–2
2
TIME
ALLOCATION
AS PER CAPS
Topic 1: Count, order, compare
and represent whole numbers
2 hours
Topic 2: Number sentences
3 hours
Revision
Topic 3: Addition and
subtraction
7 hours
3–5
Topic 4: Common fractions
10 hours
Revision
Formal Assessment:
Assignment – Different number
systems
0.5 hours
5
Topic 5: Time
4 hours
6–8
Topic 6: Properties of 2-D
shapes
8 hours
8 – 10
Revision
1. Estimation
2. Have fun with calculators
3. Use the column method to add
4. Use the column method to subtract
5. Addition and subtraction are inverse operations
6. Solve addition and subtraction problems
1. What is a fraction?
2. Fractions by grouping
3. Equivalent fractions
4. Compare and order fractions
5. Add and subtract fractions
6. Solve problems with fractions
0.5 hours
5–6
8
1. Read and write large numbers
2. Count large numbers
3. Use place value to order numbers
4. Use symbols to compare numbers
1. Number sentences with multiple
operations
2. Equivalent number statements
0.5 hours
2–3
5
UNITS WITHIN EACH TOPIC
1. Read and write time
2. Convert units of time
3. Time zones
4. Interpret calendars
1. Identify and name 2-D shapes
2. Angles and lines in 2-D shapes
3. Compare and sort 2-D shapes
4. Identify and draw 2-D shapes
0.5 hours
Topic 7: Data handling
10 hours
10
Topic 8: Numeric patterns
4 hours
10
10
Revision
Formal Assessment: Test
0.5 hours
1 hour
1. Collect and organise data
2. Read and draw pictographs
3. Read and draw bar graphs
4. The mode and median in a set of data
5. Interpret and make sense of graphs
6. Work through a data cycle
1. Flow diagrams
2. Interesting properties of multiplication
3. Multiplication and division are inverse operations
4. Find missing rules and numbers
3
TERM 2
WEEKS
1
1–2
2
TOPIC
TIME
ALLOCATION
AS PER CAPS
Topic 9: Count, order, compare
and represent whole numbers
1 hour
Topic 10: Multiplication
5 hours
Revision
Topic 11: Properties of 3-D
objects
5 hours
3–4
Topic 12: Geometric patterns
6 hours
4–5
5
5–6
6
Revision
2 hours
Formal Assessment: Test
1 hour
Revision
8 hours
Topic 15: Decimal fractions
10 hours
8-9
Topic 16: Capacity and volume
5 hours
10
Revision
Formal Assessment: Exam
practice
1. Line symmetry
2. Rotational symmetry
1. Work with factors
2. Work with prime factors
3. Multiplication and division as inverse
operations
4. Use the long division method
5. Solve division problems
6. Solve problems by comparing quantities of the same
kind
7. Solve problems by comparing two
different quantities
0.5 hours
6–8
10
1. Identify 3D objects
2. Construct 3D objects
3. Describe, sort and compare 3D
objects
4. Interpret drawings of 3D objects
1. Extend patterns and look for rules
2. Tables and flow diagrams
3. Look for patterns and rules
4. More fun with patterns
0.5 hours
Topic 13: Symmetry
Topic 14: Division
1. Work with nine-digit numbers
2. Round off whole numbers
1. Factors and multiples
2. Break up numbers to multiply
3. Estimate answers
4. Use the column method to multiply
5. Solve multiplication problems
0.5 hours
2–3
4
UNITS WITHIN EACH TOPIC
1. Read and write decimal fractions
2. Count in decimals
3. Convert decimal fractions
4. Multiply and round off decimals
5. Compare and order decimals
6. Add and subtract decimals
7. More calculations with decimals
8. Solve problems with decimal fractions
1. The capacity of containers
2. Estimate and measure capacity
3. Convert units of capacity
4. Compare and order capacities
5. Solve problems involving capacity
0.5 hours
1 hour
4
TERM 3
WEEKS
TOPIC
TIME
ALLOCATION
AS PER CAPS
1
Topic 17: Count, order, compare
and represent whole numbers
1 hour
Topic 18: Mass
5 hours
1–2
2
Revision
8 hours
4
Topic 20: Viewing objects
3 hours
4
Revision
Topic 21: Properties of 2-D
shapes
0.5 hours
Topic 22: Transformations
3 hours
4–5
5–6
6
Revision
4 hours
Topic 23: Percentages
5 hours
7
Topic 24: Temperature
1 hour
7
Revision
Topic 25: Data handling
1. Estimate answers
2. Use the column method to add
3. Use the column method to subtract
4. Addition and subtraction are inverse operations
5. Add and subtract with brackets
6. Solve addition and subtraction problems
1. Different viewpoints
2. Draw views from different viewpoints
1. Identify, describe and compare 2-D shapes
2. Draw 2-D shapes
1. Use transformations to describe patterns
2. Describe patterns around us
0.5 hours
6–7
7–9
1. Place value and expanded notation
2. Read, write and order nine-digit numbers
1. Units of measure for mass
2. Read measuring scales
3. Estimate and measure mass
4. Convert between units of mass
5. Solve problems involving mass
0.5 hours
Topic 19: Addition and
subtraction
2–3
UNITS WITHIN EACH TOPIC
1. Understand the meaning of percentage
2. Convert fractions to percentages
3. Decimal fractions and percentages
4. Find the percentage of a whole number
1. Read, compare and order temperature
2. Calculations with temperature
0.5 hours
9 hours
1. Collect, organise and represent data
2. Find the mode and median of data sets
3. Interpret and analyse data
4. Compare graphs on the same topic
5 hours
1. Special types of sequences
2. Find the rule
Formal Assessment: Project –
Data Handling
9
Topic 26: Numeric patterns
9
Revision
0.5 hours
10
Topic 27: Length
5 hours
10
Formal Assessment: Test
1 hour
1. Estimate and measure lengths
2. Convert units of length
3. Order lengths
4. Solve problems involving lengths
5
TERM 4
WEEKS
TOPIC
TIME
ALLOCATION
AS PER CAPS
1
Topic 28: Count, order, compare
and represent whole numbers
1 hour
Topic 29: Multiplication
5 hours
1–2
2
2–3
Revision
5 hours
3
Formal Assessment:
Assignment – Percentages,
profit and loss
5 hours
3–4
Topic 31: Properties of 3-D
objects
4
4–6
6
6–7
7
7–8
8
8–9
Revision
Topic 32: History of
measurement
Topic 33: Perimeter, area and
volume
Revision
5 hours
1 hour
7 hours
1. Model 3-D objects
2. Sort and compare 3-D objects
3. Interpret 3-D drawing
4. Identify nets
1. Where did measurement begin?
2. How things have changed
1. Measure perimeter
2. Area
3. The area of rectangles
4. Volume
5. Surface area of an object
0.5 hours
7 hours
Formal Assessment:
Investigation – Use simple
budgets and accounts
1 hour
Revision
1. Find equivalent forms and compare common
fractions
2. Different fractions for different contexts
3. Convert decimals and common fractions
4. Convert percentages and common fractions
5. Add and subtract common fractions
6. Calculate and solve problems with fractions
0.5 hours
Topic 34: Division
Topic 35: Number sentences
1. Read and write large numbers
2. Round off, compare and order large
numbers
1. Estimate answers
2. Multiply using the column method
3. Solve problems with multiplication
0.5 hours
Topic 30: Common fractions
4
UNITS WITHIN EACH TOPIC
3 hours
1. Use long division
2. Inverse operations
3. Solve problems with division
1. Number sentences and rules
2. Solve a number statement
3. Use number sentences when solving problems
4. Multiple choice questions
0.5 hours
Topic 36: Transformations
1
hours
9
Topic 37: Position and
movement
2 hours
9
Revision
9
Topic 38: Probability
2 hours
10
Formal Assessment: Exam
Practice
1 hour
1. Recognise transformations in patterns
2. Enlarge a shape
3. Reduce a shape
4. Compare the size and shape of triangles and
quadrilaterals
1. Find positions on maps and grids
2. Work with street maps
3. Describe how to change positions on a grid
4. Maps and compass directions
0.5 hours
1. List possible outcomes of experiments
2. Record outcomes of experiments
6
Subject: Mathematics
EXEMPLAR TEACHING GUIDELINE – GRADE 6
Grade: 6
Topic 1: Count, order, compare and represent whole numbers
Duration: 2 hours
CAPS
Content
Term 1, Week 1
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers

Counting

Ordering

Representing

Place value of digits
Unit 1: Read and write large numbers
Unit 2: Count large numbers
Unit 3: Use place value to order numbers
Unit 4: Use symbols to compare numbers
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Read
and write
large
numbers
TEACHING METHODS / APPROACH
Duration: 30 minutes
Preparation and suggested resources
Place value cards; number lines that are marked but not numbered, over the place
value boundaries; place value table – blank; numbers written in words on large
cards.
Common errors
Learners misread or write incorrectly numbers which have zeros, such as
2 009 050. Emphasise the importance of each place holder. Practise reading the
numbers in sets of three and emphasise that each space represents a word
(thousand, hundred). If necessary, allow learners to work with smaller numbers
before moving onto six-digit numbers.
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2
Place value cards,
number lines, place
value table
Key words
whole number
Mental Maths (10 minutes daily)
See the Mental Maths section at the back of the Teacher’s Guide.
Teaching guidelines
1. Using the place value cards, allow learners to create a variety of two, three, four,
five and six digit numbers on the board.
2. Once you have at least fifteen different numbers, ask for volunteers to first read
the numbers out and then to write the numbers down in words.
3. Explain to the learners that it is important when reading to group the digits in
threes.
4. Now read through the examples on page 4 in the Learner’s Book.
5. Reinforce the use of a zero as a placeholder. If necessary, place a few examples on
the board and ask the learners to give the place value of those zeros.
6. Once the learners understand how to read and write the numbers out, allow them
to start Exercise 1.1.
7. Walk around and monitor the learners’ progress and assist where necessary.
Support and extension guidelines
1. Learners can make up 10 six-digit numbers, using their place value cards. Each
number needs to be written out in words.
2. Learners can also complete Target Worksheet 1.
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)
7
LESSON 2:
Unit 2: Count
large numbers
Duration: 30 minutes
Preparation and suggested resources
Place value cards; number lines that are marked but not numbered, over the place
value boundaries; place value table – blank; numbers written in words on large
cards.
Common errors
Learners misread or write incorrectly numbers which have zeros, such as 209 050.
Emphasise the importance of each place holder. Practise reading the numbers in
sets of three and emphasise that each space represents a word (thousand,
hundred).
Mental Maths (10 minutes daily)
See the Mental Maths section at the back of the Teacher’s Guide.
Teaching guidelines
1. Revise 6-digit numbers. Ask a few volunteers to come to the board. Say a number
and ask the learners to write it down in figures.
2. Include a few examples with zeros in place holders.
3. Ask the learners to now choose one of the numbers and count in twos, for the
next ten numbers, going forwards and then going backwards.
4. Each time ask the volunteer to count forwards or backwards, either adding on or
subtracting the number they have chosen.
5. Ask the other learners to monitor their counting.
6. Once the learners are comfortable counting forwards and backwards, read
through the example on page 5 in the Learner’s Book.
7. Place a few more examples on the board and allow the learners to count orally.
8. Learners can now complete Exercise 1.2.
For homework, the learners can complete outstanding class work.
Support and extension guidelines
Find examples of large numbers (six-digits), such as telephone numbers, and
practise reading them. The Challenge changes the focus from reading a number to
understanding the place value of each number. Allow learners to write the number
they think matches the verbal description and to read their answers out loud to
check if they have found the correct number. Then using the squares of paper from
the game, choose a number to add on or to subtract from, allowing the learners to
count forwards and backwards up to five numbers from the original number.
Challenge: Guided instruction
The ‘Challenge’ extends their understanding that basic number bonds still apply
with very large numbers. Encourage learners to find and use the pattern that
emerges and to use this to continue the task to 22 222 222 and 11 111 111.
Game
1. Learners play in pairs.
2. Prepare the squares of paper beforehand.
3. Cut out (or fold and neatly tear) ten squares of paper.
4. On each piece of paper, write one of these instructions: +50; –50; +100; –100;
+150; –150; +200; –200; +250; –250. Shuffle these numbers and place them face
down on the table.
5. On another page, each write down the number 100 000. Now take turns to pick
up a number and add it to or subtract it from your number until all the numbers
have been used. Check each other’s working. The highest number wins.
Mental Maths 10 minutes (TG page 180)
Exercise 1.2 (LB page 5)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 4)
8
LESSON 3:
Unit 3: Use
place value to
order
numbers
Duration: 30 minutes
Preparation and suggested resources
Place value cards; number lines that are marked but not numbered, over the place
value boundaries; place value table – blank; numbers written in words on large
cards.
Common errors
Learners make errors when ordering numbers.
Learners simply often misread the numbers, mistaking a six digit number for fivedigit number or similar. This usually happens when the numbers look similar at
first glance: 345 687, 34 597; 3 456 700. Encourage learners to count the digits in
each number first and to look carefully at the value of each digit in turn from the
highest place value.
Mental Maths (10 minutes daily)
See the Mental Maths section at the back of the Teacher’s Guide.
Teaching guidelines
1. Revise the value of digits in numbers to 999 999.
2. Draw a place value table onto the board and ask for a volunteer to write
999 999 in the table.
3. Ask the volunteer to determine the value of each digit.
4. Ask the learners to give you a few more numbers, with a variety of digits, to write
onto the board.
5. Discuss the value of various digits with the learners.
6. Work through the example on page 6 of the Learner’s Book, writing the number
onto the board.
7. Ask the learners to explain the value of the digits in 456 129.
8. Write four examples onto the board and ask the learners to explain the value of
each digit.
9. Revise with the learners the process of ordering numbers. The more digits the
whole number has, the larger it becomes, so a six-digit number will always be
larger than a five-digit number. If the hundred thousand digits are the same, then
they need to look at the ten thousand digits and so on, until they find a digit that
is larger in the one number than in the second example.
10. Finally go through the second example on page 6 of the Learner’s Book. Get
learners to order the four numbers written onto the board.
11. Read through the ‘Did you know’ feature on page 6 of the Learner’s Book.
12. Learners can now begin Exercises 1.3 and 1.4.
Support and extension guidelines
Roll a dice six times (or turn over three-digit cards) to generate six-digit numbers.
Use these to complete a set of six random six-digit numbers (or continue using the
dice/cards to generate the rest of the number). Ask learners to put these numbers
in order.
Mental Maths (TG page 180)
Exercise 1.3 & 1.4 (LB page 6)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 6)
9
LESSON 4:
Use symbols
to compare
numbers
Duration: 30 minutes
Preparation and suggested resources
Place value cards; number lines that are marked but not numbered, over the place
value boundaries; place value table – blank; numbers written in words on large
cards.
Common errors
Learners make errors when ordering numbers.
Learners simply often misread the numbers, mistaking a six-digit number for fivedigit number or similar. This usually happens when the numbers look similar at
first glance: 345 687; 34 597; 3 456 700. Encourage learners to count the digits in
each number first and to look carefully at the value of each digit in turn from the
highest place value.
Mental Maths (10 minutes daily)
See the Mental Maths section at the back of the Teacher’s Guide.
Teaching guidelines
1. Using the six-digit numbers that the learners created during the previous lesson,
allow the learners to pair the numbers into two columns of ten numbers.
2. Ask for volunteers to read out the pairs of numbers, one by one.
3. Then get the volunteers to decide which number is larger out of the pair. Work
through the column.
4. Get the other learners to monitor the answers given.
5. Revise with the learners how they use place value to determine which number is
larger.
6. Each digit is compared until they find a digit which is higher in place value.
7. That number is now of a higher value.
8. If one number has more digits than the second number, then it is automatically
higher in value.
9. Revise the use of the symbols < and >.
10. The ‘mouth’ of the symbol always faces towards the larger number.
11. Read through the example on page 7 in the Learner’s Book.
12. Learners can now begin Exercise 1.5.
13. Read through the ‘Did you know?’
Support and extension guidelines
Learners complete outstanding class work. They can do the Target Worksheet to
consolidate the work taught.
Challenge: Guided instruction
Let the learners sit in pairs. Allow learners to work out what each number is. Once
they have completed that, they can start to order them from the smallest to the
biggest.
Intervention
If the learners are struggling, choose seven learners to represent the columns from
Units to Millions. Let these learners each hold a label with units, tens, hundreds, etc.
written on them. Learners can now call out their digit’s place value, for example the
learner holding the ‘Millions’ label can call out three million, while the learner
holding the ‘Tens’ label can call out 9 tens.
Mental Maths (TG page 180)
Exercise 1.5 (LB page 7)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 8)
10
Subject: Mathematics
TERM 1: PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 1: Count, order, compare and represent whole numbers
Duration: 2 hours
CAPS
Content
Term 1, Week 1
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers

Counting

Ordering

Representing

Place value of digits
Unit 1: Read and write large numbers
Unit 2: Count large numbers
Unit 3: Use place value to order numbers
Unit 4: Use symbols to compare numbers
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Read
and write
large
numbers
LESSON 2:
Unit 2: Count
large
numbers
TEACHING METHODS / APPROACH
Duration: 30 minutes


Explain to the learners that it is important when reading numbers to group
the digits in threes.
Reinforce the use of a zero as a placeholder.
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


Revise 6-digit numbers.
Learners practise counting forwards and backwards.
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2
Place value cards,
number lines, place
value table, number
cards
Mental Maths 10 minutes (TG page 180)
Exercise 1.2 (LB page 5)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 4)
LESSON 3:
Unit 3: Use
place value to
order
numbers
Duration: 30 minutes
LESSON 4:
Use symbols
to compare
numbers
Duration: 30 minutes



Revise the value of digits in numbers to 999 999.
Discuss the value of various digits within a number with the learners.
Revise with the learners the process of ordering numbers.
Mental Maths (TG page 180)
Exercise 1.3 & 1.4 (LB page 6)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 6)


Revise with the learners how they use place value to determine which
number is larger.
Revise the use of the symbols < and >.
Mental Maths (TG page 180)
Exercise 1.5 (LB page 7)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 8)
11
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Subject: Mathematics
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 solutions by substitution
Unit 1: Solve number sentences
Unit 2: Equivalent number statements
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Solve
number
sentences
TEACHING METHODS / APPROACH
Duration: 60 minutes

Explain how brackets are used in number sentences.
Mental Maths 10 minutes (TG page 180)
Exercise 2.1 (LB page 8)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 22)
LESSON 2:
Unit 2:
Equivalent
number
sentences
Duration: 120 minutes
Revision:
Topics: 1 - 2
Duration: 30 minutes
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2

In this lesson learners are required to use their understanding of
properties such as order and grouping to decide on which statements are
equivalent.
 Ensure that learners understand how to read the question carefully to
decide on whether there is only one correct answer, or the possibility of
more than one answer.
Mental Maths (TG page 180)
Exercise 2.2 – 2.5 (LB page 9 - 10)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 22)
TG page: 11
12
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 3: Addition and subtraction
Duration: 7 hours
CAPS
Content
Term 1, Weeks 2 - 3
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers, addition and subtraction

Number range for counting, ordering, comparing and representing, and place value of digits: order, compare and
represent numbers at least 9-digit numbers

Number range for calculations: addition and subtraction of whole numbers with at least 6-digit number

Calculation techniques

Properties of whole numbers: recognise and use the commutative; associative; distributive properties

Solving problems
Unit 1: Estimation
Unit 4: Use the column method to subtract
Unit 2: Have fun with calculators
Unit 5: Addition and subtraction are inverse operations
Unit 3: Use the column method to add
Unit 6: Solve addition and subtraction problems
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Estimation
LESSON 2:
Unit 2: Have
fun with
calculators
TEACHING METHODS / APPROACH
Duration: 60 minutes
 Revise the rules of rounding off to the nearest 10, 100 and 1 000.
Mental Maths 10 minutes (TG page 180)
Exercise 3.1 (LB page 12)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 10)
Duration: 60 minutes

Explain to the learners that when they work with their calculators, they still
need to be careful when pressing the keys because they can press the
incorrect key and get the wrong answer.
 Allow the learners to experiment with their calculators.
 Explain the functions of the CE and C keys.
Mental Maths 10 minutes (TG page 180)
Exercise 3.2 (LB page 13)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 12)
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2
Place value cards,
calculators, number
lines, whiteboards,
whiteboard markers
LESSON 3:
Duration: 90 minutes
Unit 3: use the
 Remind learners that there are various methods that they have been taught
in Grade 5 to do addition. The column method is the most effective method
column
to use as there is little chance of losing numbers.
method to
Mental
Maths
(TG page 180)
add
Exercise 3.3 (LB page 14)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 58)
LESSON 4:
Unit 4: Use the
column
method to
subtract
Duration: 90 minutes
LESSON 5:
Addition and
subtraction
are inverse
operations
Duration: 60 minutes
LESSON 6:
Solve addition
and
subtraction
problems
Duration: 60 minutes

Remind learners that there are various methods that they can use for
subtraction. Explain to the learners that the column method is the most
effective method to use as there is little chance of losing numbers.
 Explain how learners are to exchange.
Mental Maths (TG page 180)
Exercise 3.4 (LB page 15)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 66)

Remind learners that we can use two ways to check the accuracy of our
answers, namely: estimation and inverse operations.
 Ask the learners to explain to you how they would use the two methods.
Mental Maths (TG page 180)
Exercise 3.5 (LB page 16)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 62)

We often use addition and subtraction to solve real-life problems. Explain
that some problems need more than one calculation to solve them – these
are called multi-step problems.
Mental Maths (TG page 180)
Exercise 3.6 (LB page 17)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 64)
13
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 4: Common fractions
Duration:10 hours
CAPS
Content
Term 1, Weeks 3 - 5
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.2 Common fractions

Describing and ordering fractions: compare and order common fractions

Calculations with fractions: addition and subtraction of common fractions

Solving problems

Percentages: find percentages of whole numbers

Equivalent forms
Unit 1: What is a fraction?
Unit 4: Compare and order fractions
Unit 2: Fractions by grouping
Unit 5: Add and subtract fractions
Unit 3: Equivalent fractions
Unit 6: Solve problems with fractions
LEARNING
ACTIVITY
LESSON 1:
Unit 1: What
is a fraction?
LESSON 2:
Unit 2:
Fractions by
grouping
LESSON 3:
Unit 3:
Equivalent
fractions
LESSON 4:
Unit 4:
Compare and
order
fractions
LESSON 5:
Add and
subtract
fractions
LESSON 6:
Solve
problems with
fractions
Revision:
Topics: 3 - 4
TEACHING METHODS / APPROACH
RESOURCES
Duration: 120 minutes

This lesson focuses on revision of common fractions and the terminology involved.

Use many different shapes as you do this work, so that the learners don’t only think
of fractions in terms of only circles or rectangles.

Time must be spent emphasising the significance of the denominator and the
numerator.

Be sure to incorporate examples of fractions used in daily life.
Mental Maths 10 minutes (TG page 180)
Exercise 4.1& 4.2 (LB pages 18 - 19)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 28)
Duration: 120 minutes

Spend time using apparatus to divide objects up into equal groups.

Discuss how to share out the objects left over.
Mental Maths 10 minutes (TG page 180)
Exercise 4.3 – 4.5 (LB pages 20 - 21)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 30)
Duration: 120 minutes

It is crucial that learners understand equivalent fractions before progressing to
addition and subtraction with different denominators.

Discuss how the denominator and the numerator are one number, and that it is not
possible to change part of a number.

Keep referring the learners to the fraction wall in this lesson.
Mental Maths (TG page 180)
Exercise 4.6 – 4.8 (LB pages 22 - 23)
Incorporate the exercises in DOE Workbook Term 1 and 2 (page 32)
Duration: 60 minutes

Explain that before fractions can be compared or ordered, the denominators have
to be the same.
Mental Maths (TG page 180)
Exercise 4.9 (LB page 24)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 88)
Duration: 120 minutes

Revise Grade 5 work.
Mental Maths (TG page 180)
Exercise 4.10 (LB page 25)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 90)
Duration: 60 minutes

Insist on an open number sentence, that all the workings are shown and that they
conclude with an answer sentence.
Mental Maths (TG page 180)
Exercise 4.11 (LB page 26)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 92)
Duration: 30 minutes
TG page: 21
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2
Fraction strips,
Cuisenaire rods,
fraction pieces,
fraction number lines,
different fraction
shapes, counters,
buttons, fraction wall
FORMAL ASSESSMENT TASK 60 Minutes
Assignment – Different number systems
TG page: 21
14
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 5: Time
Duration: 4 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: Time zones
Unit 4: Interpret calendars
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Read
and write
time
TEACHING METHODS / APPROACH
Duration: 30 minutes




Revise telling time from analogue and digital clocks.
Revise the meaning of a.m. and p.m.
This lesson focuses on reading time and then translating 12-hour time to
24-hour time and vice versa.
Ensure that they understand that they need to write the time in words and
then convert it to 12-hour time.
Mental Maths 10 minutes (TG page 180)
Exercise 5.1 (LB page 30)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 174)
LESSON 2:
Unit 2:
Convert units
of time
Duration: 90 minutes
LESSON 3:
Unit 3: Time
zones
Duration: 90 minutes
LESSON 4:
Unit 4: Read
and use
calendars
Duration: 30 minutes
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2
Analogue clock, digital
clock, stopwatches,
calendars, world map,
timetables



Revise how to convert between the units of time.
Discuss the occurrence of leap years with the learners.
Ensure that the learners understand the basic words which describe the
units of time as well as words such as ‘match the statements’.
 Remind them that there are 60 seconds in one minute and then 60 minutes
in one hour.
Mental Maths 10 minutes (TG page 180)
Exercise 5.2 & 5.3 (LB pages 31 - 32)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 176)


Explain why it was necessary to standardise time.
Ensure that the learners know how the time zones work.
 Show learners how to count ahead or backwards or how to calculate the
time using the time zone map.
Mental Maths (TG page 180)
Exercise 5.4 (LB page 34)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 178)
 The lesson focuses on calculating the passage of time over a given period.
Mental Maths (TG page 180)
Exercise 5.5 (LB page 35)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 180)
15
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Subject: Mathematics
Topic 6: Properties of 2-D shapes
Duration: 8 hours
CAPS
Content
Term 1, Weeks 6 - 8
SPACE AND SHAPE
3.1 Properties of 2-D shapes

Know and name shapes

Features of shapes: describe, sort and compare 2-D shapes

Angles
Unit 1: Identify and name 2-D shapes
Unit 2: Angles and lines in 2-D shapes
Unit 3: Compare and sort 2-D shapes
Unit 4: Draw and identify 2-D shapes
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Identify and
name 2-D
shapes
TEACHING METHODS / APPROACH
Duration: 120 minutes



Start this unit with a game.
Revise the basic concepts covered in the previous year.
Introduce new shapes, namely the parallelogram and the octagon.
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
Mental Maths 10 minutes (TG page 180)
Exercise 6.1 (LB page 36)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 42)
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2
LESSON 2:
Unit 2: Angles
and lines in
2-D shapes
Duration: 120 minutes
Wall charts, flash
cards, rulers, cut out
shapes, square dotted
grid paper
LESSON 3:
Unit 3:
Compare and
sort 2-D
shapes
Duration: 120 minutes
LESSON 4:
Unit 4: Draw
and identify
2-D shapes
Duration: 120 minutes
Revision:
Topics: 5 - 6
Duration: 30 minutes

Explain the following terms through demonstration: straight angle, acute
angle, obtuse angle, reflex angle, revolution, parallel lines.
Mental Maths 10 minutes (TG page 180)
Exercise 6.2 & 6.3 (LB pages 37 - 38)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 42)

Stick any two shapes on the board. Get learners to list the features of each
shape.
 Ensure that the learners are able to identify what the shapes have in
common and what the differences are.
Mental Maths (TG page 180)
Exercise 6.4 (LB page 39)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 42)

The purpose of this unit is to consolidate learners’ knowledge of 2-D
shapes.
Mental Maths (TG page 180)
Exercise 6.5 – 6.7 (LB pages 40 - 42)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 42)
TG page: 31
16
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Subject: Mathematics
Topic 7: Data handling
Duration: 10 hours
CAPS
Content
Term 1, Weeks 8 - 10
DATA HANDLING
5.1 Collecting and organising data: collect 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 by answering
Questions; summarise data verbally and in short written paragraphs; examine ungrouped numerical data
Unit 1: Collect and organise data
Unit 4: The mode and median in a set of data
Unit 2: Read and draw pictographs
Unit 5: Interpret and make sense of graphs
Unit 3: Read and draw bar graphs
Unit 6: Work through a data cycle
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Collect
and organise
data
TEACHING METHODS / APPROACH
Duration: 120 minutes

Revise what the learners should know: how to collect data, make tables to
organise data, use tallies and totals.
 Introduce the idea of a questionnaire. Discuss how they would complete
the questionnaire.
Mental Maths 10 minutes (TG page 180)
Exercise 7.1 (LB page 45)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 48)
LESSON 2:
Unit 2: Read
and draw
pictographs
Duration: 60 minutes
LESSON 3:
Unit 3: Read
and draw bar
graphs
Duration: 120 minutes
LESSON 4:
Unit 4: The
mode and
median in a
set of data
Duration: 60 minutes
LESSON 5:
Interpret and
make sense of
graphs
Duration: 120 minutes
LESSON 6:
Work through
a data cycle
Duration: 120 minutes
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2
Statistics


Revise the key words with the class.
Spend time discussing the pictograph and the key on Learner’s Book page
46.
 Explain the use of symbols in a pictograph.
Mental Maths 10 minutes (TG page 180)
Exercise 7.2 (LB page 46)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 58)

Remind learners that the graph needs a title, and that the bars and the scale
on the other axis must be labelled.
 Discuss the concept of a double bar graph with the class using the example
on page 47.
Mental Maths (TG page 180)
Exercise 7.3 (LB page 48)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 62)

Remind the learners that they have already found the mode of a data set.
Introduce the term median.
 Explain that to find the median, we have to put the data in order.
Mental Maths (TG page 180)
Exercise 7.4 (LB page 50)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 208)

Remind learners how to write a paragraph and provide the frame used in
Grades 4 and 5 if necessary.
Mental Maths (TG page 180)
Exercise 7.5 (LB page 52)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 210)


Revise the data cycle.
Point out to the learners that they also need to interpret and summarise
the data that they collect.
Mental Maths (TG page 180)
Exercise 7.6 (LB page 53)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 64)
17
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 8: Numeric patterns
Duration:4 hours
CAPS
Content
Term 1, Week 10
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
Unit 1: Flow diagrams
Unit 2: Interesting properties of multiplication
Unit 3: Multiplication and division are inverse operations
Unit 4: Find missing rules and numbers
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Flow
diagrams
TEACHING METHODS / APPROACH
Duration: 30 minutes

Explain clearly the description of flow diagrams and how they can be
represented.
Mental Maths 10 minutes (TG page 180)
Exercise 8.1 (LB page 54)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 50)
LESSON 2:
Unit 2:
Interesting
properties of
multiplication
Duration: 60 minutes
LESSON 3:
Unit 3:
Multiplication
and division
are inverse
operations
Duration: 60 minutes
LESSON 4:
Unit 4: Find
missing rules
and numbers
Duration: 90 minutes
Revision:
Topics: 7 - 8
Duration: 30 minutes
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2

Apart from completing flow diagrams, the emphasis in this unit is on
learners writing what they notice in the diagrams. Stress the importance of
them doing this in their own words.
Mental Maths 10 minutes (TG page 180)
Exercise 8.2 (LB page 55)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 54)

This unit requires learners to show how division is the inverse of
multiplication, and vice versa.
 The emphasis in this unit is on learners writing what they notice in the
diagrams.
Mental Maths (TG page 180)
Exercise 8.3 (LB page 56)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 56)

Work through the explanations given in the Learner’s Book at the beginning
of the unit with the learners.
 Explain the principle: by inspection, as explained in the Learner’s Book, and
the principle of inverse operations.
 Ensure that learners are confident before moving on to the explanation of
finding the rule.
Mental Maths (TG page 180)
Exercise 8.4 & 8.5 (LB pages 57 - 58)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 102)
TG page: 42; LB page:
FORMAL ASSESSMENT TASK 60 Minutes
Term 1 Test: TG page: 43
18
Subject: Mathematics
TERM 2: PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 9: Count, order, compare and represent whole numbers
Duration: 1 hours
CAPS
Content
Term 2, Week 1
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers

Counting

Ordering

Comparing

Representing digits

Place value of digits
Unit 1: Work with nine-digit numbers
Unit 2: Round off whole numbers
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Work
with ninedigit numbers
LESSON 2:
Unit 2: Round
off whole
numbers
TEACHING METHODS / APPROACH
Duration: 30 minutes

Shuffle the place value cards and ask for volunteers to create different
numbers.
 Continue creating numbers until you have seven numbers on the board,
ranging from a two-digit number to a nine-digit number.
 Ask the learners to compare the seven numbers.
 Get the learners to organise the numbers in descending order and then in
ascending order.
 Revise the place value chart with the learners.
 Ensure the learners understand the rules for comparing numbers and are
able to apply them.
Mental Maths 10 minutes (TG page 180)
Exercise 9.1 & 9.2 (LB page 62)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 104)
RESOURCES
Platinum
Mathematics Grade
6 Learner's Book
and Teacher's Guide
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2
Place value cards,
number lines, place
value table, dice
Duration: 30 minutes

Revise how we round off to the nearest 10. Get the learners to explain the
rule.
 Ensure that all learners understand the concept of rounding off to the
nearest 5, 10, 100 and 1 000.
Mental Maths 10 minutes (TG page 180)
Exercise 9.3 (LB page 63)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 106)
19
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Subject: Mathematics
Topic 10: Multiplication
Duration: 5 hours
CAPS
Content
Term 2, Weeks 1 - 2
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers, multiplication

Properties of whole numbers: recognize and use the commutative; associative; distributive properties

Solving problems
Unit 1: Factors and multiples
Unit 2: Breaking up numbers to multiply
Unit 3: Estimate answers
Unit 4: Use the column method to multiply
Unit 5: Solve multiplication problems
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Factors and
multiples
TEACHING METHODS / APPROACH
Duration: 60 minutes

Ensure that learners are able to explain the difference between a multiple
and a factor.
 Encourage the learners to pair the factors.
 Find out whether learners know what to do when multiplying by a multiple
of 10.
Mental Maths 10 minutes (TG page 180)
Exercise 10.1 (LB page 64)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 14, 18)
LESSON 2:
Unit 2:
Breaking up
numbers to
multiply
Duration: 60 minutes
LESSON 3:
Unit 3:
Estimate
answers
Duration: 60 minutes
LESSON 4:
Unit 4: Use the
column
method to
multiply
Duration: 60 minutes
LESSON 5:
Solve
multiplication
problems
Duration: 60 minutes
REVISION:
Topics: 9 - 10
Duration: 30 minutes
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2
Table charts

Revise the breaking up methods by working through the examples on page
67 of the Learner’s Book.
Mental Maths 10 minutes (TG page 180)
Exercise 10.2 & 10.3 (LB page 65)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 16)

Ensure that learners understand that estimation before you calculate is a
very important skill for them to use.
Mental Maths (TG page 180)
Exercise 10.4 & 10.5 (LB page 66)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 120)

Explain the vertical column method of doing multiplication.
The concept that the numbers have to be in the correct columns is
important.
Mental Maths (TG page 180)
Exercise 10.6 (LB page 67)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 136)


Just a few reminders will be necessary about estimating answers and
ensuring that the digits are in the correct columns.
Mental Maths (TG page 180)
Exercise 10.7 (LB page 68)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 138)
TG page: 53
20
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 11: Properties of 3-D objects
Duration: 5 hours
CAPS
Content
Term 2, Weeks 2 - 3
SPACE AND SHAPE
3.2 Properties of 3-D objects

Objects learners need to know and name

Distinguish, describe, sort and compare objects
Unit 1: Identify 3-D objects
Unit 2: Construct 3-D objects
Unit 3: Describe, sort and compare 3-D objects
Unit 4: Interpret drawings of 3-D objects
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Identify 3-D
objects
TEACHING METHODS / APPROACH
Duration: 30 minutes

Ensure that the learners are able to define what a prism and pyramid is.
Mental Maths 10 minutes (TG page 180)
Incorporate the exercises in DBOE Workbook Term 1 and 2 (page 42)
LESSON 2:
Unit 2:
Construct 3-D
objects
Duration: 90 minutes
LESSON 3:
Unit 3:
Describe,
compare and
sort 3-D
objects
Duration: 120 minutes
LESSON 4:
Unit 4:
Interpret
drawings of 3D objects
Duration: 60 minutes

Work through the worked example with the class.
Demonstrate on one of the nets how the concept of a tab for gluing the net
together works.
Mental Maths 10 minutes (TG page 180)
Exercise 11.1 & 11.2 (LB page 71 - 72)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 42)

RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2
Wall chart, 3-D objects,
square grid paper,
cardboard, glue, sticky
tape, rulers, pictures

This unit uses Exercise 11.2 to revise the features of objects that were
taught in Grade 5 and Exercise 11.3 to introduce new concepts such as
vertices and edges.
 Learners discuss the differences and similarities between objects.
Mental Maths (TG page 180)
Exercise 11.3 & 11.4 (LB page 73 - 74)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 44)

Find pictures of 3-D objects and show learners the model of the same
object in reality, and then get learners to match up the angles and the sides
with the model.
Mental Maths (TG page 180)
Exercise 11.5 (LB page 75)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 46)
21
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Subject: Mathematics
Topic 12: Geometric patterns
Duration: 6 hours
CAPS
Content
Term 2, Weeks 3 - 4
PATTERNS , FUNCTIONS AND ALGEBRA
2.2 Geometric patterns

Investigate and extend patterns: investigate and extend geometric patterns looking for relationships or rules

Input and output values: determine input values, output values and rules for the patterns and relationships

Equivalent forms
Unit 1: Extend patterns and look for rules
Unit 2: Tables and flow diagrams
Unit 3: Look for patterns and rules
Unit 4: More fun with patterns
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Extend
patterns and
look for rules
TEACHING METHODS / APPROACH
Duration: 60 minutes

Revise the concept of a number sequence with learners.
 Explain to learners that they will again be asked to look for number
sequences in geometric patterns.
Mental Maths 10 minutes (TG page 180)
Exercise 12.1 (LB page 76)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 198)
LESSON 2:
Unit 2: Tables
and flow
diagrams
Duration: 60 minutes
LESSON 3:
Unit 3: Look
for patterns
and rules
Duration: 60 minutes
LESSON 4:
Unit 4: More
fun with
patterns
Duration: 180 minutes
REVISION:
Topics: 11 12
Duration: 30 minutes

Remind learners of the trial and improvement method for finding a rule
and using flow diagrams to check a rule.
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2
Match sticks, counters,
dots
Mental Maths 10 minutes (TG page 180)
Exercise 12.2 (LB page 78)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 200)

Remind learners of the trial and improvement method for finding a rule.
Remind learners of how they can use the inverse operations in reverse
order to find the input number when the output number is known.
Mental Maths (TG page 180)
Exercise 12.3 & 12.4 (LB page 79)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 200)


Learners should be sufficiently familiar with what is required of them to go
straight into Exercises 12.5 and 12.6.
Mental Maths (TG page 180)
Exercise 12.5 & 12.6 (LB page 80 - 81)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 200)
TG page: 62
22
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 13: Symmetry
Duration:2 hours
CAPS
Content
Term 2, Weeks 4 -5
SHAPE AND SPACE
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
LESSON 2:
Unit 2:
Rotational
symmetry
TEACHING METHODS / APPROACH
Duration: 60 minutes
 This lesson revises learners’ existing knowledge of line symmetry.
Mental Maths 10 minutes (TG page 180)
Exercise 13.1 & 13.2 (LB page 84 - 85)
Duration: 60 minutes
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
Small mirrors, poster


Read through the introductory text with your class.
Work through the worked examples.
 Encourage learners to be creative.
Mental Maths 10 minutes (TG page 180)
Exercise 13.3 & 13.4 (LB page 87)
FORMAL ASSESSMENT TASK 60 Minutes
Test: TG page: 65
23
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 14: Division
Duration: 8 hours
CAPS
Content
Term 2, Weeks 5 - 6
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers, division

Number range for counting, ordering and representing, and place value of digits

Number range for calculations: division of at least whole 4-digit by 3-digit numbers

Calculation techniques

Number range for multiples and factors

Properties of whole numbers: recognise and use the commutative; associative; distributive properties

Solving problems
Unit 1: Work with factors
Unit 5: Solve division problems
Unit 2: Work with prime factors
Unit 6: Solve problems by comparing quantities of the same kind
Unit 3: Multiplication and division as inverse operations
Unit 7: Solve problems by comparing two different quantities
Unit 4: Use the long division method
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Work
with factors
LESSON 2:
Unit 2: Work
with prime
factors
LESSON 3:
Unit 3:
Multiplication
and division as
inverse
operations
LESSON 4:
Unit 4: Use the
long division
method
LESSON 5:
Solve division
problems
LESSON 6:
Solve problems
by comparing
quantities of the
same kind
LESSON 7:
Solve problems
by comparing
two different
quantities
REVISION:
Topics: 13 - 14
TEACHING METHODS / APPROACH
Duration: 30 minutes

Briefly revise the rules for 2, 5 and 10 divisibility.

Let the rule for divisibility by 3 be an investigation.

This topic also includes some examples of dividing by multiples of 10.
Mental Maths 10 minutes (TG page 180)
Exercise 14.1 (LB page 88)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 20)
Duration: 60 minutes

Use Eratosthenes’s sieve to help with the identification of prime numbers less than 100.
Mental Maths 10 minutes (TG page 180)
Exercise 14.2 (LB page 89)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 20)
Duration: 60 minutes

Where the learners are to do the order of operations, it is important for them to realise
that when we have multiplication and division in the same sum, we do not necessarily
need brackets and must work from left to right,
Irrespective of which operation comes first.

Encourage learners to write the remainder as a common fraction.
Mental Maths (TG page 180)
Exercise 14.3 (LB page 90)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 78)
Duration: 120 minutes

The concept of long division is introduced.
Mental Maths (TG page 180)
Exercise 14.4 (LB page 91)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 28)
Duration: 60 minutes

Ensure that learners first estimate their answers before working out exact answers.
Remind learners to: write a number sentence, to show all calculations and to end off
with an answer sentence.

Ensure that learners are able to check their answers by using an inverse operation or
another method.
Mental Maths (TG page 180)
Exercise 14.5 (LB page 92)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 82)
Duration: 90 minutes

The concept of ratio fits in well with division
Mental Maths (TG page 180)
Exercise 14.6 (LB page 93)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 24)
Duration: 60 minutes

Simple calculations of division are done to find a unit rate for each sum. Give examples
from everyday life where we compare two different types of quantities.
Mental Maths (TG page 180)
Exercise 14.7 (LB page 94)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 80)
Duration: 30 minutes
TG page: 71
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2
Tables chart
24
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 15: Decimal fractions
Duration: 10 hours
CAPS
Content
Term 2, Weeks 6 - 8
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.2 Decimal fractions

Recognising, ordering and place value of decimal fractions

Calculations with decimal fractions: addition and subtraction of decimal fractions of at least two decimal places

Solving problems and equivalent forms
Unit 1: Read and write decimal fractionsUnit 5: Compare and order decimals
Unit 2: Count in decimalsUnit 6: Add and subtract decimals
Unit 3: Convert decimal fractionsUnit 7: More calculations with decimals
Unit 4: Multiply and round off decimals
Unit 8: Solve problems with decimal fractions
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Read
and write
decimal
fractions
LESSON 2:
Unit 2: Count in
decimals
LESSON 3:
Unit 3: Convert
decimal
fractions
LESSON 4:
Unit 4: Multiply
and round off
decimals
LESSON 5:
Compare and
order decimals
LESSON 6: Add
and subtract
decimals
LESSON 7:
More
calculations
with decimals
LESSON 8:
Solve problems
with decimal
fractions
TEACHING METHODS / APPROACH
RESOURCES
Duration: 60 minutes

The learners play place value Bingo.

Ensure that learners can explain what the difference is between tens and tenths.
Mental Maths 10 minutes (TG page 180)
Exercise 15.1 (LB page 96)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 168)
Duration: 60 minutes

Practise the bonds to 100 and 1 000.

Make the link between working with whole numbers and working with decimals,
explaining that learners can use the same strategies.
Mental Maths 10 minutes (TG page 180)
Exercise 15.2 (LB page 97)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 170)
Duration: 60 minutes

Explain the concept of one decimal place and two decimal places.

Explain how to change decimals into fractions or convert fractions into decimals
and what you do to the denominator, you need to do with the numerator.
Mental Maths (TG page 180)
Exercise 15.3& 15.4 (LB page 98)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 170)
Duration: 60 minutes

Read through the rules of multiplying a decimal by 10 and then by 100.

Revise the general guidelines for rounding off numbers to the nearest 5, 10 and 100.
Mental Maths (TG page 180)
Exercise 15.5& 15.6 (LB page 99)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 172)
Duration: 60 minutes

Write three or four decimal numbers on the board with the same tens and units, but
different tenths. Order the numbers with the learners.

Repeat with a set of decimal numbers with the same tens, units and tenths, but
different hundredths.
Mental Maths (TG page 180)
Exercise 15.7 (LB page 100)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 172)
Duration: 120 minutes

When adding decimal numbers using the column method, they need to line up the
numbers one under each other according to the digits’ place value.
Mental Maths (TG page 180)
Exercise 15.8 (LB page 101)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 54)
Duration: 60 minutes

Refresh the column method used for addition and subtraction.

Remind learners that they must remember to insert a ‘0’ where necessary.

Remind learners that calculations in brackets need to be done first.
Mental Maths (TG page 180)
Exercise 15.9& 15.10 (LB page 102)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 56)
Duration: 120 minutes

Learners are to use the inverse operation to check their answers.
Mental Maths (TG page 180)
Exercise 15.11 (LB page 103)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 56)
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2
Place value cards, digit
cards, calculators
25
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 16: Capacity and volume
Duration: 5 hours
CAPS
Content
Term 2, Weeks 8 - 9
MEASUREMENT
4.3 Capacity /volume

Practical measuring of 3-D objects

Calculations and problem-solving related to capacity/volume
Unit 1: The capacity of containers
Unit 2: Estimate and measure capacity
Unit 3: Convert units of capacity
Unit 4: Compare and order capacities
Unit 5: Solve problems involving capacity
LEARNING
ACTIVITY
LESSON 1:
Unit 1: The
capacity of
containers
TEACHING METHODS / APPROACH
Duration: 30 minutes


Discuss and revise the units for measuring capacity.
Explain that 1 ml is a very small amount (less than a teaspoonful) and 1
litre is quite a large amount - the size of a bottle of milk.
 Discuss the approximate capacity of familiar containers.
Mental Maths 10 minutes (TG page 180)
Exercise 16.1 (LB page 104)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 38)
LESSON 2:
Unit 2:
Estimate and
measure
capacity
Duration: 60 minutes
LESSON 3:
Unit 3:
Convert units
of capacity
Duration: 120 minutes
LESSON 4:
Unit 4:
Compare and
order
capacities
Duration: 30 minutes
LESSON 5:
Solve
problems
involving
capacity
Duration: 60 minutes
REVISION:
Topics: 15 16
Duration: 30 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 if possible to help learners
work out what each division stands for.
Mental Maths 10 minutes (TG page 180)
Exercise 16.2 & 16.3 (LB page 105)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 38)
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 1 and 2
Containers, measuring
dropper / syringe,
milk, juice, yogurt
containers, sand,
measuring jugs,
measuring cups,
plastic bottles,
teaspoons

In this lesson we introduce the kilolitre.
 Explain that you can convert between units of capacity. Work slowly
through the examples when explaining.
Mental Maths (TG page 180)
Exercise 16.4 (LB page 106)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 156)

Remind the learners that they need to convert measurements to the same
units before they compare them.
 Ensure that learners understand the concepts and can order capacities.
Mental Maths (TG page 180)
Exercise 16.5 (LB page 107)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 156)

In this lesson, the focus is on calculating with units of capacity.
 Stress that one can only add and subtract capacities if the capacities have
the same units.
Mental Maths (TG page 180)
Exercise 16.6 (LB page 108)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 156)
TG page: 83
FORMAL ASSESSMENT TASK 60 minutes
Exam Practice: TG page: 83
26
Subject: Mathematics
TERM 3: PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 17: Count, order, compare and represent whole numbers
Duration: 1hour
CAPS
Content
Term 3, Week 1
NUMBERS, OPERATIONS AND RELATIONSHIPS

Counting

Ordering

Representing

Place value of digits
Unit 1: Place value and expanded notation
Unit 2: Read, write and order nine-digit numbers
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Place
value and
expanded
notation
TEACHING METHODS / APPROACH
Duration: 30 minutes



Give the learners practice adding mentally a string of three, four or five
multiples of 10s, 100s and 1 000s.
Repeat the activity but with numbers not in place value order.
Learners are to explain what the value of each digit is in a number.
Mental Maths 10 minutes (TG page 180)
Exercise 17.1 (LB page 112)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 2)
LESSON 2:
Unit 2: Read,
write and
order ninedigit numbers
Duration: 30 minutes

When learners are counting, they must be able to understand that when
they add 1 to 99, they move from the ‘tens’ place value into the ‘hundreds’
place value. This applies to moving from the hundreds to the thousands,
and so on.
 The learners must understand the concept that the tens has two digits,
while the hundreds has three digits and eventually the hundred millions
has nine digits.
 Revise with the learners how to group the digits in the numbers and that
they have to leave spaces in appropriate places.
Mental Maths 10 minutes (TG page 180)
Exercise 17.2 & 17.3 (LB page 113)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 76)
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
place value cards,
number lines, place
value tables
27
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Subject: Mathematics
Topic 18: Mass
Duration: 5 hours
CAPS
Content
Term 3, Weeks 1 - 2
MEASUREMENT
4.2 Mass

Practical measuring of 3-D objects

Calculations and problem-solving related to mass
Unit 1: Units of measure for mass
Unit 2: Read measuring scales
Unit 3: Estimate and measure mass
Unit 4: Convert between units of mass
Unit 5: Solve problems involving mass
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Units
of measure
for mass
TEACHING METHODS / APPROACH
Duration: 30 minutes




Discuss which units of mass to use for each object on display.
Ask learners to estimate the mass of each object.
Use a digital scale to show learners the mass of each object.
Learners are to order the masses from the lightest object to the heaviest
object.
Mental Maths 10 minutes (TG page 180)
Exercise 18.1 (LB page 114)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 40)
LESSON 2:
Unit 2: Read
measuring
scales
Duration: 30 minutes
LESSON 3:
Unit 3:
Estimate and
measure mass
Duration: 60 minutes
LESSON 4:
Unit 4:
Convert
between units
of mass
Duration: 60 minutes

Revise with the class how to read off an analogue scale with unnumbered
intervals.
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
bags of sand, objects,
bathroom scales,
kitchen scales,
analogue and digital
balances, wall chart
Mental Maths 10 minutes (TG page 180)
Exercise 18.2 (LB page 115)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 40)

Revise with the class how to read off an analogue scale with unnumbered
intervals.
 Learners are to practise this skill before moving on to estimating and
measuring on scales.
Mental Maths (TG page 180)
Exercise 18.3 & 18.4 (LB page 116)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 152)


Use a balance to remind learners how many grams are in 1 kg.
Ensure that learners understand when to multiply or divide to convert
units of mass.
 Explain how to compare mass by first converting all measurements to a
common unit of mass.
Mental Maths (TG page 180)
Exercise 18.5 & 18.6 (LB page 117)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 154)
LESSON 5:
Duration: 90 minutes
 Remind learners how to do calculations with mass.
Solve
problems
Mental Maths (TG page 180)
involving mass Exercise 18.7 (LB page 118)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 154)
REVISION:
Topics: 17 &
18
Duration: 30 minutes
TG page: 95
28
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 19: Addition and subtraction
Duration: 8 hours
CAPS
Content
Term 3, Weeks 2 - 3
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers, addition and subtraction

Counting, ordering, comparing and representing, and place value of digits

Number range for calculations: addition and subtraction of whole numbers of at least 6-digit numbers

Calculation techniques

Properties of whole numbers: recognise and use the commutative; associative; distributive properties

Solving problems
Unit 1: Estimate answers
Unit 2: Use the column method to add
Unit 3: Use the column method to subtract
Unit 4: Addition and subtraction are inverse operations
Unit 5: Add and subtract with brackets
Unit 6: Solve addition and subtraction problems
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Estimate
answers
LESSON 2:
Unit 2: Use
the column
method to
add
LESSON 3:
Unit 3: Use
the column
method to
subtract
LESSON 4:
Unit 4:
Addition and
subtraction
are inverse
operations
LESSON 5:
Add and
subtract with
brackets
LESSON 6:
Solve addition
and
subtraction
problems
TEACHING METHODS / APPROACH
RESOURCES
Duration: 60 minutes
 Ask the learners why it is important to be able to round off numbers.
 Remind learners of the process of rounding off to the nearest 10 and 100.
 Explain the rules for rounding off to the nearest 1 000.
Mental Maths 10 minutes (TG page 180)
Exercise 19.1& 19.2 (LB page 120)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 4)
Duration: 90 minutes
 Remind learners that when using the column method, we always start with the
units’ digits first.
 Make sure that when doing calculations the learners estimate first and then
work out the exact answer.
Mental Maths 10 minutes (TG page 180)
Exercise 19.3 (LB page 121)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 6)
Duration: 90 minutes
 Remind the learners of the procedure that they followed when using the
column method in their addition calculation.
 Revise the concept of place value for each digit in a number.
 Explain to the learners that when using the column method for subtraction,
they need to understand the concept of ‘exchange’.
Mental Maths (TG page 180)
Exercise 19.4& 19.5 (LB page 122)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 8)
Duration: 60 minutes
 Work through all the examples with the learners so that they can see that
addition and subtraction are opposite or inverse operations.
Mental Maths (TG page 180)
Exercise 19.6& 19.7 (LB page 123)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 78)
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Place value cards,
number lines,
whiteboards,
whiteboard markers,
calculators
Duration: 60 minutes
 Explain to the learners that it is important to always complete the calculation
that is inside the brackets first.
Mental Maths (TG page 180)
Exercise 19.8& 19.9 (LB page 124)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 86)
Duration: 60 minutes
 Remind learners of the correct setting out procedure, and how important it is
to show all of their working.
Mental Maths (TG page 180)
Exercise 19.10 (LB page 125)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 98)
29
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Subject: Mathematics
Topic 20: Viewing objects
Duration: 3 hours
CAPS
Content
Term 3, Week 4
SPACE AND SHAPE
3.5 Viewing objects

Position and views: link the position of viewer to views
Unit 1: Different viewpoints
Unit 2: Draw views from different viewpoints
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Different
viewpoints
TEACHING METHODS / APPROACH
Duration: 90 minutes



Start by looking at a collection of real life objects from different viewpoints.
Discuss these different views.
Ask learners to draw what they see.
 Use pictures of objects taken from different views and ask learners to
identify the objects and explain where the photographer was standing to
take the photograph.
Mental Maths 10 minutes (TG page 204)
Exercise 20.1 (LB page 126)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 44)
LESSON 2:
Unit 2: Draw
views from
different
viewpoints
Duration: 90 minutes
REVISION:
Topics: 19 20
Duration: 30 minutes

RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Pictures, models of 3-D
objects – soccer ball,
shoe, cup
Through demonstration and visualisation try to get learners to see another
view and to draw what they have visualised.
Mental Maths 10 minutes (TG page 204)
Exercise 20.2 – 20.5 (LB page 127 - 130)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 190)
TG page: 103
30
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 21: Properties of 2-D shapes
Duration: 4 hours
CAPS
Content
Term 3, Weeks 4 - 5
SPACE AND SHAPE
3.1 Properties of 2-D shapes

Learners need to know and name shapes

Distinguish, describe, sort and compare shapes
Unit 1: Identify, describe and compare 2-D 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: 60 minutes

Revise the work done in Term 1.
 Remind learners about all the features of 2-D shapes.
Mental Maths 10 minutes (TG page 205)
Exercise 21.1 (LB page 132)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 34)
Duration: 180 minutes


Demonstrate how to draw a circle using a board compass.
Explain to learners that the dimension needed to draw congruent circles is
the radius of the circle.
 Demonstrate how to measure off the radius and draw the circle.
Mental Maths 10 minutes (TG page 205)
Exercise 21.2 – 21.4 (LB page 133 - 135)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 36)
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Rulers, wall chart,
flash cards, square grid
paper, compasses,
ruler, pencils, erasers,
small screwdriver,
board compass
31
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Subject: Mathematics
Topic 22: Transformations
Duration: 3 hours
CAPS
Content
Term 3, Weeks 5 - 6
SPACE AND SHAPE
3.4 Transformations

Describe patterns

Enlargement and reductions
Unit 1: Use transformations to describe patterns
Unit 2: Describe patterns around us
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Use
transformations
to describe
patterns
TEACHING METHODS / APPROACH
Duration: 180 minutes

Remind learners of the three types of transformations they have studied
in Grade 5.
 Have a discussion with the class where you show them a collection of
pictures of tessellation patterns.
 Discuss which shape is being tessellated for each pattern and how the
shape is being transformed to the next position.
Mental Maths 10 minutes (TG page 180)
Exercise 22.1 (LB page 137)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 70)
LESSON 2:
Unit 2: Describe
patterns around
us
Duration: 60 minutes
 Learners are to identify transformations in the patterns they see in
nature, in our cultural heritage and in objects around them.
REVISION:
Topics: 21 - 22
Duration: 30 minutes
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Pictures, cardboard,
rulers, scissors, wall
chart
Mental Maths 10 minutes (TG page 180)
Exercise 22.2 (LB page 138)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 72)
TG page: 108
32
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 23: Percentages
Duration: 5 hours
CAPS
Content
Term 3, Weeks 6 - 7
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.2 Percentages

Calculations: find percentages of whole numbers

Equivalent forms
Unit 1: Understand the meaning of percentage
Unit 2: Convert fractions to percentages
Unit 3: Decimal fractions and percentages
Unit 4: Find the percentage of a whole number
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Understand
the meaning
of percentage
TEACHING METHODS / APPROACH
Duration: 60 minutes

It is important that the learners understand that all three types of fractions
are related and equivalent to each other and are generally interchangeable.
 Explain the term “percentage” and where the word originates from.
 Explain the relationship and the equivalency between the three different
kinds of fractions.
 Explain that percentages must add up to a hundred when comparing
different things.
Mental Maths 10 minutes (TG page 180)
Exercise 23.1 (LB page 140)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 92)
LESSON 2:
Unit 2:
Convert
fractions to
percentages
Duration: 60 minutes
LESSON 3:
Unit 3:
Decimal
fractions and
percentages
Duration: 60 minutes
LESSON 4:
Unit 4: Find
the percentage
of a whole
number
Duration: 120 minutes
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Magazines,
newspapers, quad
paper

We start by converting common fractions to percentages. Once a
denominator is a hundredth it is easy to work out the percentage.
 Remind the learners that what you do to the denominator must also be
done to the numerator.
Mental Maths 10 minutes (TG page 180)
Exercise 23.2 & 23.3 (LB page 141)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page)

Start the practical part of the lesson by converting decimals to common
fractions.
 Explain that all the decimals first have to be converted to common
fractions, and then into percentages.
Mental Maths (TG page 180)
Exercise 23.4 & 23.5 (LB page 142)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 94)

Discuss why the percentage must first be converted to a common fraction
before one can proceed.
 Explain that you then divide the whole number by the denominator and if
there is a numerator, multiply the new number by the numerator.
 Learners need to ensure that the common fraction is always in its simplest
form.
Mental Maths (TG page 180)
Exercise 23.6 (LB page 143)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 96)
33
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 24: Temperature
Duration: 1 hour
CAPS
Content
Term 3, Week 7
MEASUREMENT
4.5 Temperature

Practical measuring of temperature

Calculations and problem-solving related to temperature
Unit 1: Read, compare and order temperature
Unit 2: Calculations with temperature
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Read,
compare and
order
temperature
TEACHING METHODS / APPROACH
Duration: 30 minutes

Explain the meaning of a maximum and minimum temperature, and of a
temperature range.
 Introduce the idea of below zero temperature.
 Draw a number line showing integers from –5 to +5 to show learners how
to calculate the difference in temperature between –3°C and 5°C.
 Discuss what affects weather temperature and how temperature is
measured using various scales and thermometers.
Mental Maths 10 minutes (TG page 180)
Exercise 24.1 & 24.2 (LB pages 144 - 145)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 126)
LESSON 2:
Unit 2:
Calculations
with
temperature
Duration: 30 minutes
REVISION:
Topics: 23 24
Duration: 30 minutes
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Thermometers,
weather maps

Teach the learners how to work out the average temperature.
Ensure that the learners are confident that they can estimate and measure
temperature.
Mental Maths 10 minutes (TG page 180)
Exercise 24.3 and 24.4 (LB page 146)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 128)

TG page: 114
34
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 25: Data handling
Duration: 9 hours
CAPS
Content
Term 3, Weeks 7 - 9
DATA HANDLING
5.1 Collecting and organising data: collect 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 by answering
questions; summarise data verbally and in short written paragraphs; examine ungrouped numerical data
Unit 1: Collect, organise and represent data
Unit 2: Find the mode and median of data sets
Unit 3: Interpret and analyse data
Unit 4: Compare graphs on the same topic
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Collect,
organise and
represent
data
TEACHING METHODS / APPROACH
Duration: 90 minutes

Revise the basic concepts of how to draw up a questionnaire.
Learners will need time to draw up their questionnaires, collect the data
they need and draw their graphs.
Mental Maths 10 minutes (TG page 180)
Exercise 25.1 (LB page 148)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 58)

LESSON 2:
Unit 2: Find
the mode and
median of
data sets
Duration: 90 minutes
LESSON 3:
Unit 3:
Interpret and
analyse data
Duration: 150 minutes
LESSON 4:
Unit 4:
Compare
graphs on the
same topic
Duration: 150 minutes


Revise the terms mode and median with the class.
Read through the introductory text on page 149 with the class.
 Make sure all the learners know how to find the middle value when there is
an even number of data.
Mental Maths 10 minutes (TG page 180)
Exercise 25.2 (LB page 149)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 60)
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Die, six sided spinners

Remind the learners how to write a paragraph and provide the frame used
in Grades 4 and 5.
 Work carefully through the example on page 156 with the class.
Mental Maths (TG page 180)
Exercise 25.3 (LB page 151)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 62)

Remind learners that if they count different things in different places, or
ask different people to answer a questionnaire, they will get different data.
When they get different data, their graphs will look different.
 Read through the text on page 153 with the class.
Mental Maths (TG page 180)
Exercise 25.4 (LB page 154)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 64)
FORMAL ASSESSMENT TASK
Project – Data Handling
TG page: 119
35
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 26: Numeric patterns
Duration: 3 hours
CAPS
Content
Term 3, Week 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
Unit 1: Special types of sequences
Unit 2: Find the rule
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Special
types of
sequences
TEACHING METHODS / APPROACH
Duration: 60 minutes

Learners must know and understand the meaning of constant difference
sequences and constant ratio sequences.
 Remind learners of what a sequence of numbers is.
Mental Maths 10 minutes (TG page 180)
Exercise 26.1 (LB page 158)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 132)
LESSON 2:
Unit 2: Find
the rule
Duration: 120 minutes
REVISION:
Topics: 25 26
Duration: 30 minutes

Remind learners of how to try a number in the flow diagram and continue
adjusting it until one is found that satisfies the rule.
 Focus the learners’ attention on being able to predict the next numbers in
the output sequence using the sequence rule.
Mental Maths 10 minutes (TG page 180)
Exercise 26.2 & 26.3 (LB pages 159 - 160)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 134)
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Squared paper,
number lines, hundred
square, scrap paper
TG page: 122
36
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 27: Length
Duration: 5 hours
CAPS
Content
Term 3, Week 10
MEASUREMENT
4.1 Length

Practical measuring of 2-D shapes and 3-D objects

Calculations and problem-solving related to length
Unit 1: Estimate and measure lengths
Unit 2: Convert units of length
Unit 3: Order lengths
Unit 4: Solve problems involving lengths
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Estimate and
measure
lengths
TEACHING METHODS / APPROACH
Duration: 90 minutes



Discuss and revise the units for measuring length and distance.
Remind learners about the approximate length of familiar objects.
Discuss ways of measuring.
Mental Maths 10 minutes (TG page 180)
Exercise 27.1 (LB page 162)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 34)
LESSON 2:
Unit 2:
Convert units
of length
Duration: 60 minutes
LESSON 3:
Unit 3: Order
lengths
Duration: 60 minutes
LESSON 4:
Unit 4: Solve
problems
involving
lengths
Duration: 90 minutes

Explain that to convert from a larger unit to a smaller unit, you have to
multiply, and to convert from a smaller unit to a larger unit, you have to
divide.
 Show the learners how to measure distances with a trundle wheel.
 Revise the conversion between kilometres and metres.
Mental Maths 10 minutes (TG page 180)
Exercise 27.2 (LB page 163)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 90)
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Metre stick, tape
measure, rulers,
conversion wall chart

Ensure that learners are confident with converting between the units of
length.
 Explain that when they have to order measurements of length, it is best to
convert the measurements to the same unit.
 Explain that the learners must remember the final step of converting back
to the original measurements.
Mental Maths (TG page 180)
Exercise 27.3 (LB page 164)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 186)

Explain that learners can work out word problems involving length in the
same way as whole number and decimal calculations.
Mental Maths (TG page 180)
Exercise 27.4 (LB page 165)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 188)
FORMAL ASSESSMENT TASK 60 minutes
Test: TG page: 127
37
TERM 4: PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Subject: Mathematics
Topic 28: Count, order, compare and represent whole numbers
Duration: 1hour
Term 4, Week 1
CAPS
Content
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers:

Counting

Ordering

Representing

Place value of digits
Unit 1: Read and write large numbers
Unit 2: Round off, compare and order large numbers
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Read
and write
large
numbers
LESSON 2:
Unit 2: Round
off, compare
and order
large
numbers
TEACHING METHODS / APPROACH
Duration: 30 minutes

Ask the learners to give you nine digit numbers to use as examples. Ask the
learners to read, write and place these numbers in expanded form.
Mental Maths 10 minutes (TG page 180)
Exercise 28.1 & 28.2 (LB page 168)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 76)
Duration: 30 minutes

Ask the learners to round numbers off to the nearest 10 or 100 or
1 000.
 Ensure that the learners can compare numbers using the symbols < and >.
 Remind learners of the rule for rounding to the nearest 5.
Mental Maths 10 minutes (TG page 180)
Exercise 28.3 & 28.4 (LB page 169)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 76)
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Hundred block chart,
place value cards
38
Subject: Mathematics
Topic 29: Multiplication
Duration: 5 hours
CAPS
Content
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Term 4, Weeks 1 -2
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers, multiplication

Number range for counting, ordering and representing, and place value of digits: order, compare and represent
numbers at least 9-digit numbers

Number range for calculations: multiplication of at least whole 4-digit by 3-digit numbers

Calculation techniques

Number range for multiples and factors

Properties of whole numbers: recognise and use the commutative, associative and distributive properties

Solving problems
Unit 1: Estimate answers
Unit 2: Multiply using the column method
Unit 3: Solve problems with multiplication
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Estimate
answers
TEACHING METHODS / APPROACH
Duration: 60 minutes

Revise the importance of checking answers, while reminding the learners
that the more we round off, the less accurate our answers will be.
Mental Maths 10 minutes (TG page 180)
Exercise 29.1 (LB page 170)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 136)
LESSON 2:
Unit 2:
Multiply using
the column
method
Duration: 120 minutes
LESSON 3:
Unit 3: Solve
problems
with
multiplication
Duration: 120 minutes
REVISION:
Topics: 28 29
Duration: 30 minutes


RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Time is to be spent consolidating the column method for multiplication.
Remind learners to check their answers.
Mental Maths 10 minutes (TG page 180)
Exercise 29.2 (LB page 171)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 140)

Ensure that the learners set out the problem calculations properly.
Mental Maths (TG page 180)
Exercise 29.3 (LB page 172)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 142)
TG page: 135
39
Subject: Mathematics
Topic 30: Common fractions
Duration: 5 hours
CAPS
Content
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Term 4, Weeks 2 - 3
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.2 Common fractions

Describing and ordering fractions: compare and order common fractions

Calculations using fractions: addition and subtraction of common fractions

Solving problems

Percentages: calculate percentages of whole numbers

Equivalent forms
Unit 1: Find equivalent forms and compare common fractions
Unit 2: Different fractions for different contexts
Unit 3: Convert decimals and common fractions
Unit 4: Convert percentages and common fractions
Unit 5: Add and subtract common fractions
Unit 6: Solve problems with fractions
LEARNING
ACTIVITY
TEACHING METHODS / APPROACH
LESSON 1:
Unit 1: Find
equivalent
forms and
compare
fractions
Duration: 60 minutes
LESSON 2:
Unit 2:
Different
fractions for
different
contexts
Duration: 30 minutes
LESSON 3:
Unit 3: Convert
decimals and
common
fractions
Duration: 60 minutes
 Ensure that learners understand how to convert from decimals to common
LESSON 4:
Unit 4: Convert
percentages and
common
fractions
LESSON 5: Add
and subtract
common
fractions
Duration: 30 minutes
LESSON 6:
Solve problems
with fractions
Duration: 60 minutes

It is important to spend more time converting common fractions into
equivalent common fractions.
 Explain that when we divide the fraction we are simplifying it, and when
we multiply we are creating an equivalent fraction.
Mental Maths 10 minutes (TG page 180)
Exercise 30.1 (LB page 174)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 40)

Spend time discussing how the different fractions are equivalent, but are
usually used to describe different contexts.
 It is important that the learners can distinguish between the appropriate
usages of the different fraction types.
Mental Maths 10 minutes (TG page 180)
Exercise 30.2 & 30.3 (LB page 175)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 42)
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Fraction pieces,
pictures, recipes, car
speedometer,
counters, buttons
fractions or mixed numbers and vice versa.
Mental Maths (TG page 180)
Exercise 30.4 (LB page 176)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 44)
 Work through the examples on page 177 of the Learner’s Book.
Mental Maths (TG page 180)
Exercise 30.5 (LB page 177)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 46)
Duration: 30 minutes

Remind the learners that the denominators have to be the same and that
they should first add or subtract the whole numbers.
Mental Maths (TG page 180)
Exercise 30.6 (LB page 178)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 48)
 Remind learners of the relationship between division and fractions.
Mental Maths (TG page 180)
Exercise 30.7 (LB page 179)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 100)
FORMAL ASSESSMENT TASK
Assignment – Percentages, profit and loss
TG page: 140
40
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Subject: Mathematics
Topic 31: Properties of 3-D objects
Duration: 5 hours
CAPS
Content
Term 4, Weeks 3 - 4
SPACE AND SHAPE
3.2 3-D objects

Learners need to know and name various shapes

Distinguish, describe, sort and compare objects
Unit 1: Model 3-D objects
Unit 2: Sort and compare 3-D objects
Unit 3: Interpret 3-D drawing
Unit 4: Identify nets
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Model
3-D objects
TEACHING METHODS / APPROACH
Duration: 180 minutes




Revise the properties of a rectangular prism on the board.
Get one of the learners to propose a possible net.
Point out how one wrong measurement could result in the face not fitting
into the model.
Explain to learners how the activity works and that you expect their full
cooperation during the activity.
Mental Maths 10 minutes (TG page 180)
Exercise 31.1 & 31.2 (LB page 182 - 183)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 30)
LESSON 2:
Unit 2: Sort
and compare
3D objects
Duration: 120 minutes
LESSON 3:
Unit 3:
Interpret 3D
drawing
Duration: 30 minutes
LESSON 4:
Unit 4:
Identify nets
Duration: 30 minutes
REVISION:
Topics: 30 31
Duration: 30 minutes

Demonstrate what a face, a vertex and an edge mean using one of the
models.
Mental Maths 10 minutes (TG page 180)
Exercise 31.3 (LB page 184)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 30)

RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Straws, string, cotton,
paper glue, sticky tape,
tissue paper, paper
glue, paper, wall chart
displaying 3-D objects,
plastic carrier bags,
wall chart displaying:
face, vertex, edge,
prestik, boxes
Use Exercise 31.5 as an introductory activity.
Mental Maths (TG page 180)
Exercise 31.4 & 31.5 (LB page 185)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 32)
 Revise nets briefly on the board.
Mental Maths (TG page 180)
Exercise 31.6 & 31.7 (LB page 186)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 34)
TG page: 144
41
PLATINUM LESSON PLANS – GRADE 6
Subject: Mathematics
Grade: 6
Topic 32: History of measurement
Duration: 1hour
Term 4, Week 4
MEASUREMENT
CAPS
4.7 History of measurement
Content

Know how people measured and recorded measurement in the past.
Unit 1: Where did measurement begin?
Unit 2: How things have changed
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Where
did
measurement
begin?
LESSON 2:
Unit 2: How
things have
changed
TEACHING METHODS / APPROACH
Duration: 30 minutes

Explain to the learners what exactly happened in ancient times when there
were no proper tools and units of measurement to measure things like
time, mass, length or capacity.
 Discuss the use of carob seeds to measure gems and precious metals and
how we use ‘carat’ today to measure the mass for measuring gems and
precious metals.
 Ensure that the learners understand the concept of using a forearm or a
hand to measure length.
Mental Maths 10 minutes (TG page 180)
Exercise 32.1 (LB page 188)
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
Rulers, measuring
tape, carob seeds,
pictures
Duration: 30 minutes

Have a class discussion with the learners based on their homework.
Discuss why they think that these strange units of measurement had to
change and become standardised or the same in each country.
 Discuss how the various units of measurement changed.
Mental Maths 10 minutes (TG page 180)
Exercise 32.2 & 32.3 (LB page 189)
42
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Subject: Mathematics
Topic 33: Perimeter, area and volume
Duration: 6 hours
CAPS
Content
Term 4, Weeks 4 - 6
MEASUREMENT
4.6 Perimeter, area and volume

Measurement of volume

Investigate
Unit 1: Measure perimeter
Unit 2: Area
Unit 3: The area of rectangles
Unit 4: Volume
Unit 5: Surface area of an object
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Measure
perimeter
TEACHING METHODS / APPROACH
Duration: 60 minutes

Revise the concept of measuring perimeter by modelling how to do this on
the board.
 Ensure that the learners understand the concept of drawing to scale.
Mental Maths 10 minutes (TG page 180)
Exercise 33.1 (LB page 190)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 182)
LESSON 2:
Unit 2: Area
Duration: 60 minutes
LESSON 3:
Unit 3: The
area of
rectangles
Duration: 60 minutes

Remind the learners that they worked with area in Grade 5. Ask them what
they remember.
 Pay attention to the steps used for estimating area.
Mental Maths 10 minutes (TG page 180)
Exercise 33.2 (LB page 191)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 36)
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Rulers, squared grid
paper, rectangles
drawn on squared
paper, blocks / cubes,
cardboard, prestik

Learners need to understand that you can calculate the area of a rectangle
by multiplying the number of blocks in the length by the number of blocks
in the breadth.
 Explain the concept of working out area without counting.
Mental Maths (TG page 180)
Exercise 33.3 (LB page 192)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 116)
LESSON 4:
Duration: 90 minutes
Unit 4: Volume
 Remind the learners that volume and capacity are related.

Remind the learners that two differently shaped objects can have the same
volume.
 Discuss how you can find the volume of a cuboid by multiplying or adding
the layers.
Mental Maths (TG page 180)
Exercise 33.4 (LB page 193)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 120)
LESSON 5:
Surface area of
an object
Duration: 90 minutes
REVISION:
Topics: 32 33
Duration: 30 minutes


Point out the difference between surface area and volume.
Explain that volume is three dimensional, area is two-dimensional.
 Point out that volume is measured in cubic units and area in square units.
 Explain that volume uses height as a third dimension while area has only
two dimensions.
Mental Maths (TG page 180)
Exercise 33.5 (LB page 194)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 118)
TG page: 152
43
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 34: Division
Duration: 6 hours
CAPS
Content
Term 4, Weeks 6 - 7
NUMBERS, OPERATIONS AND RELATIONSHIPS
1.1 Whole numbers, division

Counting

Ordering

Comparing

Representing

Place value of digits

Number range for calculations: division of at least whole 4-digit by 3-digit numbers

Calculation techniques

Number range for multiples and factors

Properties of whole numbers: recognize and use the commutative, associative distributive properties

Solving problems
Unit 1: Use long division
Unit 2: Inverse operations
Unit 3: Solve problems with division
LEARNING
ACTIVITY
LESSON 1:
Unit 1: use
long division
TEACHING METHODS / APPROACH
Duration: 120 minutes


Discuss and explain what a remainder represents.
Briefly revisit the breaking of the divisor into factors.
Mental Maths 10 minutes (TG page 180)
Exercise 34.1 &34.2 (LB page 196)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 82)
LESSON 2:
Unit 2:
Inverse
operations
Duration: 120 minutes
LESSON 3:
Unit 3: Solve
problems
with division
Duration: 120 minutes

Explain how to check the answer of a division sum by doing a
multiplication sum.
Mental Maths 10 minutes (TG page 180)
Exercise 34.3 & 34.4 (LB page 197)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 86)
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Wall chart displaying
multiplication tables

Show the learners practical examples of rate.
Discuss with the learners how one could compare different quantities and
different prices.
Mental Maths (TG page 180)
Exercise 34.5 & 34.6 (LB page 198 - 199)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 52)

FORMAL ASSESSMENT TASK 60 minutes
Investigation – Use simple budgets and accounts TG page: 155
44
Subject: Mathematics
Topic 35: Number sentences
Duration: 3 hours
CAPS
Content
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Term 4, Weeks 7 - 8
PATTERNS , FUNCTIONS AND ALGEBRA
Number sentences

Write number sentences to describe problem situations

Solve and complete number sentences by: inspection, trial and improvement

Check answers by substitution
Unit 1: Number sentences and rules
Unit 2: Solve a number statement
Unit 3: Use number sentences when solving problems
Unit 4: Multiple choice questions
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Number
sentences and
rules
TEACHING METHODS / APPROACH
Duration: 30 minutes
 Remind learners of the rule for order of operations.
Mental Maths 10 minutes (TG page 180)
Exercise 35.1 &35.2 (LB page 202)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 86)
LESSON 2:
Unit 2: Solve a
number
statement
Duration: 30 minutes
LESSON 3:
Unit 3: Use
number
sentences when
solving
problems
Duration: 90 minutes
LESSON 4:
Unit 4: Multiple
choice questions
Duration: 30 minutes
REVISION:
Topics: 34 - 35
Duration: 30 minutes

Remind learners of the three different ways in which a number statement
may be solved.
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Mental Maths 10 minutes (TG page 180)
Exercise 35.3 (LB page 203)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 86)

Encourage learners to: read the question carefully, associate the
numbers given in the question with the quantities that the numbers
represent, identify the unknown quantity to be represented, write the
number sentence, solve the number sentence.
Mental Maths (TG page 180)
Exercise 35.4 (LB page 205)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 98)


Emphasise the concept of equivalent statements.
Ensure that learners give the answer as the letter representing the
answer, not the answer itself.
 Show learners how to recognise when there might be more than one
correct answer by carefully reading the question.
Mental Maths (TG page 180)
Exercise 35.5 (LB page 206)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 88)
TG page: 160
45
Subject: Mathematics
Topic 36: Transformations
Duration: 3 hours
CAPS
Content
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Term 4, Weeks 8 - 9
SPACE AND SHAPE
3.4 Transformation

Describe patterns

Enlargement and reductions
Unit 1: Recognise transformations in patterns
Unit 2: Enlarge a shape
Unit 3: Reduce a shape
Unit 4: Compare the size and shape of triangles and quadrilaterals
LEARNING
ACTIVITY
LESSON 1:
Unit 1:
Recognise
transformation
in patterns
LESSON 2:
Unit 2: Enlarge
a shape
TEACHING METHODS / APPROACH
Duration: 60 minutes

Revise the different types of transformations.
Mental Maths 10 minutes (TG page 180)
Exercise 36.1 (LB page 208)
Duration: 90 minutes

Use this exercise to explain how a fractional scale factor results in a
reduction
RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Pictures, grid paper,
pencils, erasers, rulers
Mental Maths 10 minutes (TG page 180)
Exercise 36.2 (LB page 209)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 66)
LESSON 3:
Duration: 30 minutes
Unit 3: Reduce a
 Learners are to complete Exercise 36.3 in the Learner’s Book.
shape
Mental Maths (TG page 180)
Exercise 36.3 (LB page 210)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 66)
LESSON 4:
Unit 4: Compare
the size and
shape of
triangles and
quadrilaterals
Duration: 60 minutes
 Learners are to complete Exercise 36.4 in the Learner’s Book.
Mental Maths (TG page 180)
Exercise 36.4 (LB page 211)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 68)
46
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Subject: Mathematics
Topic 37: Position and movement
Duration: 2 hours
CAPS
Content
Term 4, Week 9
SPACE AND SHAPE
3.6 Location and directions

Location and directions
Unit 1: Find positions on maps and grids
Unit 2: Work with street maps
Unit 3: Describe how to change positions on a grid
Unit 4: Maps and compass directions
LEARNING
ACTIVITY
LESSON 1:
Unit 1: Find
positions on
maps and
grids
TEACHING METHODS / APPROACH
Duration: 30 minutes



Introduce the concept of a grid reference to locate position.
Discuss global positioning systems and how they work.
Focus on locating positions on a grid and giving the position of a place from
a map.
Mental Maths 10 minutes (TG page 180)
Exercise 37.1 (LB page 212)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 202)
LESSON 2:
Unit 2: Work
with street
maps
Duration: 30 minutes
LESSON 3:
Unit 3:
Describe how
to change
positions on a
grid
LESSON 4:
Unit 4: Maps
and compass
directions
REVISION:
Topics: 36 37
Duration: 30 minutes

RESOURCES
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Grid paper, rulers,
maps
Learners are to complete Exercise 37.2 in the Learner’s Book.
Mental Maths 10 minutes (TG page 180)
Exercise 37.2 (LB page 213)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 202)

This unit deals with describing changes in position on a seating plan or
map.
Mental Maths (TG page 180)
Exercise 37.3 (LB page 214)
Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 202)
Duration: 30 minutes
 Learners are to complete Exercise 37.4.
Mental Maths (TG page 180)
Exercise 37.4 (LB page 216)
Duration: 30 minutes
TG page: 166
47
Subject: Mathematics
PLATINUM LESSON PLANS – GRADE 6
Grade: 6
Topic 38: Probability
Duration: 2 hours
CAPS
Content
Term 4, Week 9
DATA HANDLING
5.1 Probability

Perform simple repeated events and list possible outcomes for events

Count and compare the frequency of actual outcomes for a series of trials
Unit 1: List possible outcomes of experiments
Unit 2: Record outcomes of experiments
LEARNING
ACTIVITY
LESSON 1:
Unit 1: List
possible
outcomes of
experiments
LESSON 2:
Unit 2: Record
outcomes of
experiments
TEACHING METHODS / APPROACH
RESOURCES
Duration: 30 minutes


Demonstrate how to toss a coin.
Remind learners that heads is the side with the value of the coin printed on
it.
Mental Maths 10 minutes (TG page 180)
Exercise 38.1 (LB page 218)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 112)
Duration: 90 minutes
 Remind learner that the word frequency means total.
 Explain to the learners that they are going to do experiments on their own
and record their outcomes.
Platinum Mathematics
Grade 6 Learner's
Book and Teacher's
Guide
DBOE Mathematics
Grade 6 Workbook
Term 3 and 4
Coins, die, paper, glue,
cardboard, toothpicks,
colouring pencils
Mental Maths 10 minutes (TG page 180)
Exercise 38.2 – 38.4 (LB page 219-21)
Incorporate the exercises in the DBOE Workbook Term 3 and 4 (page 114)
FORMAL ASSESSMENT TASK 60 minutes
Exam Practice
TG page: 169
48