MATHEMATICS
FORM ONE
SCHEME OF WORK 2004
WEEK
TOPICS/SUBTOPICS
1
1
2
3
4
1.1
1.2
1.3
1.4
LEARNING OBJECTIVES
LEARNING OUTCOMES
Addition and
subtraction
Multiplication and
Division
Combine operations of
addition, subtraction,
multiplication, of whole
number to solve
problems
CREATIVE &
CRITICAL
THINKING
GENERICS
Students will be able to:
WHOLE NUMBER
Concept of whole
number
VALUES
Understand the concept of whole
number
Perform computations involving
addition and subtraction of whole
numbers to solve problems
Perform computations involving
multiplication and division of
whole numbers to solve problems.
Perform computations involving
combine operations of addition,
subtraction, multiplication, of
whole number to solve problems
i
Count, read and write whole number
ii
Identify place value and value of each digit
in whole number
iii
Round whole numbers
i
Add whole numbers
ii
Solve problems involving addition of whole
numbers
Hardworking
Curious
Hardworking
Solve problems
To try
Critical
thinking
To compare &
distinguish
To recognize
relationship
Solve problems
iii
Subtract whole numbers
i
Multiply two or more whole numbers.
Accurate
ii
Solve problems involving multiplication of
whole numbers.
Systematical
iii
Divide a whole number by a smaller whole
number.
iv
Solve problems involving division of whole
numbers.
i
Perform computations involving any
combination of addition, subtraction,
multiplication and division of whole number,
including the use of brackets.
Contextual
Mastery
learning
ICT
Systematical
Making
association
Mastery
Learning
To compare &
distinguish
Multiple
Intelligence
Logic
Thrifty
ii
To compare &
distinguish
Solve problems involving combined
1
operations of addition, subtraction,
multiplication and division of whole
numbers, including the use of brackets.
2
5
2.1
NUMBER
PATTERNS AND
SEQUENCES
Number Patterns and
Sequences
Students will be able to:
Recognize and extend number
patterns and sequences formed by
counting on and counting back in
intervals of any size
i
Describe the pattern of a given number
sequence.
ii
Extend number sequences.
iii
Complete missing terms in given number
sequences.
iv
Construct number sequences based on
given patterns.
i
Identify and describe odd and even numbers
ii
Make general statements about odd and even
numbers
i
Identify the characteristics of prime numbers
ii
Determine whether a given number is a
prime number
iii
Determine all the prime numbers less than
100
i
List the multiples of whole numbers
ii
Determine whether a number is the multiple
of another number
i
Find the common multiples of two or three
whole numbers.
Determine whether a numbers is the
common multiple of two or three given
numbers
Curious
To compare &
distinguish
Communica
tion
To identify
Constructivism
Systematical
Discovery
Constructivism
6
6
7
7
2.2
2.3
2.4
2.5
Odd and even numbers
Prime numbers
Multiples
Common multiples and
Lowest Common
Multiple (LCM)
Recognize odd and even numbers
and make general statements
about them
Understand the characteristics of
prime numbers
Understand and use the
knowledge of multiples of whole
numbers
Understand the characteristics and
use the knowledge of common
multiples and Lowest Common
Multiple (LCM) of whole
numbers
ii
Systematical
To identify
Rational
To identify
Logic
To try
Hardworking
To compare &
distinguish
ICT
Mastery
2
learning
8
8
9
10
10
2.6
2.7
2.8
Factors
Prime Factors
Common factors and
Highest Common
Factors (HCF)
3
FRACTIONS
3.1
Fractions
3.2
Equivalent
iii
Determine the LCM of two or three given
numbers.
Rational
i
List factors of whole numbers
Logic
ii
Determine whether a number is a factor of
another whole number
Hardworking
i
Identify prime factors from a list of factors.
Rational
ii
Find prime factor (s) of whole numbers
iii
Determine whether a number is a prime
factor of another whole number
i
Find common factors of two or three whole
numbers
ii
Determine whether a number is a common
factor of two or three given whole numbers
iii
Determine HCF of two or three given
numbers
Understand the characteristics and
use the knowledge of factors of
whole numbers
Understand the characteristics
and use the knowledge of
prime factors of whole
numbers.
Understand and use the
knowledge of common factors and
Highest Common Factors (HCF)
of whole numbers.
Identify
Multiple
intelligent
ICT
Identify
ICT
Mastery
learning
Critical
thinking
Try
Multiple
intelligence
Mastery
Learning
Students will be able to:
Understand and use the
knowledge of fractions as part of a
whole
Understand and use the
knowledge of equivalent fractions
i
Read fractions
ii
Systematical
Try
ICT
Describe fractions as parts of a whole
Draw diagrams
Thinking
Skills
iii
Represent fractions with diagrams
Estimate
the value
iv
Write fractions for given diagrams
i
Find equivalent fractions for a given fraction
ii
iii
Determine whether two given fractions are
equivalent.
Compare the values of two given fractions
iv
Arrange fractions in order
Curious
Identify
To compare &
distinguish
ICT
Contextual
Learning
Cooperative
Learning
3
12
12
13
3.3
3.4
3.5
Mixed numbers
Proper fractions and
improper fractions
Addition and
subtraction of fractions
Understand the concept of mixed
number and their representations
Understand the concept of proper
fractions and improper fractions
Understand the concept of
addition and subtraction of
fractions to solve problem
v
Simplify fractions to the lowest term
i
Recognise mixed numbers
Creative
ii
Represent mixed numbers with diagrams
Responsibility
iii
Write mixed numbers based on given
diagrams
iv
Compare and order mixed numbers on
number lines
i
Recognise proper and improper fractions
from given fractions
Hardworking
ii
Change mixed numbers into improper
fractions
Thrifty
iii
Change improper fractions into mixed
numbers.
i
Perform addition involving :
a.Fractions with common denominators.
b.Fractions with different denominators.
c. Whole numbers and fractions.
d. Fractions and mixed numbers.
e. Mixed numbers.
Systematical
Perform subtraction involving :
a.Fractions with common
denominators.
b. Fractions with different
denominators.
c. Whole numbers and fractions.
d. Fractions and mixed numbers.
e. Mixed numbers
Thrifty
ii
iii
Solve problems involving combined
operations of addition and subtraction of
fractions
Mentally
processing
Contextual
Learning
To
identify
relationship and
connection
Constructivism
Solve problems
Contextual
Learning
Thinking
Skills
Constructivism
Thinking
Skills
Solve problems
Contextual
Constuctivism
Rational
Mastery
Learning
Hardworking
To compare &
distinguish
Communica
tions
Multiple
Intellegence
ICT
Problem
Solving
4
13
13
3.6
3.7
Multiplication and
substraction
of fraction
Combined operations of
addition, substraction ,
multiplication and
division of fractions
Understand the concept of
multiplication and division of
fractions to solve problem
Perform computation involving
combined operations of addition,
substraction , multiplication and
division of fractions to solve
problems
i
Multiply
a. A whole number by a fraction or
mixed number
b. A fraction by a whole number
c. A fraction by a whole number
(include mix numbers)
ii
Solve problems involving multiplication of
fractions
iii
Divide
a. A fraction by a whole number
b. A fraction by a fraction
c. A whole number by a fraction
d. A mixed number by a mixed
number
iv
Solve problems involving division of
problem
i
Perform computation involving combined
operations of addition, substraction ,
multiplication and division of fractions
including the use of brackets
14
4.1
Rational
Solve problem
Solve problem involving combined
operations of addition, substraction ,
multiplication and division of fractions
including the use of brackets
Constructivism
Multiple
intelligent
Problem
solving
Systematical
Solve problems
Contextual
Logic
Rational
Hardworking
Systematical
Problem
solving
To compare &
distinguish
Thinking skills
Logic
To try
Solve problems
Problem
solving
Hardworking
Students will be able to:
DECIMALS
Relationship
between decimals and
fractions
To compare &
distinguish
Rational
ii
4
Hardworking
Understand the relationship
between decimals and fractions
i
Represent fractions
1
1
and
as
10
100
Systematical
decimals and vice-versa
Thrifty
ii
Represent fractions with denominators 10,
100 and 1000 as decimals
Curious
iii
iv
Read and write decimals to thousandths
Change fractions to decimals and vice-versa
Interpret /
explain
information
Contextual
Cooperative
Thinking skill
Hardworking
5
14
15
15
16
4.2
4.3
4.4
4.5
Place value and value
of each digit in
decimals
Addition and
subtraction
Multiplication and
division
Combined operation of
addition, subtraction,
multiplication and
division
Understand the concept of
place value and value of each digit
in decimals
Understand the concept of
addition and subtraction of
decimals to solve problems
Understand the concept of
multiplications and divisions of
decimals to solve problems
Perform computation involving
combined operation of addition,
subtraction, multiplication and
division of decimals in problem
solving
Rational
Interpret /
explain
information
i
State the place value and value of each digit
in decimals
ii
Compare the values of two given decimals
iii
Arrange decimals in order
iv
Round decimals to the nearest whole number
or up to three decimal places
i
Add decimals.
Systematical
ii
Solve problems involving addition of
decimals
Thrifty
Interpret /
explain
information
Curious
Analyses
iii
Subtract decimals
Solve problems involving subtraction of
decimals
Hardworking
Solve problems
iv
i
Multiply two or more decimals.
Systematical
ii
Solve problem involving multiplication of
decimals.
Thrifty
Interpret /
explain
information
Curious
Analysis
iii
Divide :
a. A decimal by a whole number.
b. A decimal by a decimal
c. A decimal by a fraction
Hardworking
Solve problems
Systematical
Hardworking
Interpret /
explain
information
Logic
Analysis
Rational
Solve problems
Curious
iv
Solve problems involving division of
decimals.
i
Perform computation involving combined
operation of addition, subtraction,
multiplication and division of decimals,
including the use of brackets
ii
Solve problems involving combined
operation of addition, subtraction,
Thinking skills
ICT
Multiple
intelligences
ICT
6
multiplication and division of decimals
including the use of bracket
5
16
17
5.1
5.2
6
18
20
6.1
6.2
Students will be able to:
PERCENTAGES
Percentages and
investigate the
relationship
Perform computations
and solve problems
Understand the concept of
percentages and investigate the
relationship between percentages
and fractions or decimals
Perform computations and solve
problems involving percentages
i
Express percentages as the number of parts
in every 100
ii
Change fractions and decimals to
percentages and vice-versa
i
Find the percentage of a quantity
ii
Find the percentage one number is of
another
iii
Find a number given the percentage
iv
Find the percentage of increase or decrease
v
Solve problems involving percentages
INTEGERS
Integers
Addition and
subtraction
Analyses
Interpret /
explain
information
Curious
Making decision
Systematical
Solve problems
Students will be able to:
Understanding and use the
knowledge of integers
Perform computations involving
addition and subtraction of
integers to solve problems
i
Read and write integers
Logic
ii
Represent integers on number lines
curious
Interpret /
explain
information
iii
Compare the values of two integers
Systematical
Classify
iv
Arrange integers in order
Thrifty
Compare &
distinguish
v
Write positive or negative numbers to
represent word descriptions
i
Add integers
ii
Solve problems
integers
iii
Contextual
Communica
tions
Cooperative
learning
Making decision
Communica
tions
involving
addition
of
Cooperative
learning
Subtract integers
7
iv
7
21
7.1
ALGEBRAIC
EXPRESSIONS
Unknown
Solve problems involving subtraction of
integers
Contextual
learning
Students will be able to:
Understand the concept of
unknowns
i
Use alphabets to represent unknown
numbers
ii
Identify unknowns in given situations
Systematical
Logic
Curious
Interpret /
explain
information
Contextual
learning
Constructivism
Making decision
Thinking Skill
21
7.2
Algebraic terms
Understand the concept of
algebraic terms
i
Identify algebraic terms with one unknown
Systematical
ii
Identify coefficients in given algebraic terms
with one unknown
Logic
Curious
iii
Identify like and unlike algebraic terms with
one unknown
iv
State like terms for a given term
i
Recognise algebraic expressions.
ii
Determine the number of terms in given
algebraic expressions
Interpret /
explain
information
Constructivism
Thinking Skill
Making decision
24
7.3
Algebraic expressions
Understand the concept of
algebraic expressions
iii
8
25
8.1
To compare &
distinguish
Constuctivism
Thinking Skill
Solve problems
Contextual
learning
Simplify algebraic expressions by combining
the like terms
Students will be able to:
BASIC
MEASUREMENT
Length
Cooperate
hardworking
Understand the concept of length
to solve problems
i
Measure the length of objects
Logic
ii
Make conversions between metric units
(mm, cm, m, km)
Cooperate
Estimate lengths of objects in appropriate
units
Systematical
iii
Classify
Predict
Solve problem
Logic
Interpret /
explain
information
Constructivism
Self-access
learning
Contextual
learning
8
iv
Use the four operations to solve problems
involving length
Curious
ICT
Multiple
Intelligences
25
8.2
Mass
Understand the concept of mass to
solve problems
i
Measure the mass of objects.
Systematical
ii
Make conversions between metric units.
(mg, g, kg, tonne)
Logic
Curious
iii
Estimate masses of objects in appropriate
units
Appreciate
time
iv
Use the four operations to solve problems
involving mass
i
Determine the appropriate measurement of
time for certain events
Systematical
Thrifty
ii
Convert measurement of time in different
units (seconds, minutes, hours, days, weeks,
months, and years)
Appreciate
the value of
time
Interpret /
explain
information
Constructivism
Self-access
learning
Solve problems
26
8.3
Time
Understand the concept of time
in seconds, minutes, hours, days,
weeks, months and years
iii
Estimate the time interval of events
iv
Use the four operation to solve problems
involving time
Contextual
learning
ICT
Interpret /
explain
information
Solve problems
Multiple
Intelligence
Future
studies
Thinking
skill
ICT
Mastery
learning
Contextual
learning
Problem
Solving
26
8.4
The twelve hour and
twenty-four hour
system
Understand and use time in the
twelve hour and twenty-four hour
system to solve problem
i
Read and write time in 12 hour system
ii
Read and write time in 24 hour system
iii
Convert time in 12 hour system to 24 hour
system and vice-versa
Systematical
Thrifty
Appreciate
the value of
time
Interpret /
explain
information
Mastery
learning
Discovery
Compare &
distinguish
9
iv
Determine the interval between two given
time
v
Solve problems involving time
Making decision
Solve problems
9
27
9.1
Students will be able to:
LINES AND ANGLES
Angles
Understand the concept of angles
i
Recognise angles
Systematical
ii
Denote and label angles
Curious
Interpret /
explain
information
iii
Measure angles using protractors
Hardworking
Making decision
iv
Draw angles using protractors
Rational
Solve problems
v
Recognise, compare and classify angles as
acute, right and obtuse
Critical
thinking
vi
Draw acute, right and obtuse angles using
protractors
vii
Determine angles on straight lines equal
180º
viii
Determine one whole turn is 360º
ICT
Multiple
intelligence
Contextual
27
28
9.2
9.3
Parallel and
perpendicular lines
Use properties of angles
associated with
intersecting lines
Understand the concept of parallel
and perpendicular lines
Understand and use properties of
angles associated with intersecting
lines to solve problems
Mastery
learning
i
Determine parallel lines
Systematical
Classify
ii
Determines perpendicular lines
Thrifty
Compare &
distinguish
iii
State that the angles formed by
perpendicular lines is 90°
i
Identify intersecting lines
Cooperate
Classify
ii
Determine the properties of vertical,
complementary and supplementary angles
Systematical
Solve problems
iii
Determine the value of angle on a line, given
the adjacent angle
iv
Solve problems involving angles formed by
Contextual
learning
Self-access
learning
Interpret /
explain
information
10
intersecting lines
10
28
10.1
Students will be able to:
POLYGONS
Polygons
Understand the
concept of polygons
i
Recognize polygons
Systematical
Classify
ii
Name polygons (triangle, quadrilateral,
pentagon, hexagon, heptagon and octagon)
Thrifty
Making decision
Multiple
intelligence
Constructivism
Solve problems
iii
Determine the number of sides, vertices and
diagonals of given pentagons
iv
Sketch polygons
Future studies
Thinking skills
ICT
Mastery
learning
Mastery study
skills
31
31
10.2
10.3
Symmetry
Triangles
Understand the
concept of symmetry
Identify and use the geometric
properties of triangles to solve
problems
i
Determine and draw the line(s) of symmetry
of shapes
ii
Complete shapes given part of the shapes
and the line of symmetry
iii
Draw designs using the concept of symmetry
i
Determine and draw symmetry line (s) of
given triangles
ii
Draw triangles using protractors and rulers
iii
State the geometric properties of the
different types of triangles and name the
triangles
Systematical
Making decision
Thrifty
Compare &
distinguish
Contextual
learning
Self-access
learning
Systematical
Classify
Contextual
Curious
Making decision
Constructivism
Analyses
Solve problems
ICT
Thinking skills
Future studies
iv
v
Determine the sum of the angles of a triangle
is 180o
Multiple
intelligences
Solve problems involving triangles
11
32
10.4
Quadrilateral
Identify and use the geometric
properties of quadrilateral to solve
problems.
i
Determine and draw symmetry line (s) of
given quadrilaterals
ii
Draw quadrilateral using protractors and
rulers
iii
Systematical
Classify
Contextual
Curious
Making decision
Constructivism
Analyses
Solve problems
ICT
State the geometric properties of different
types of quadrilaterals and name
quadrilaterals
Thinking skills
iv
Determine the sum of the angles of a
quadrilateral is 360o
Multiple
intelligences
v
Solve problems involving quadrilaterals
Mastering
study skills
Future studies
Mastery
learning
Self-access
learning
11
33
35
36
11.1
11.2
11.3
Students will be able to:
PERIMETER AND
AREA
Perimeter
Area of Rectangles
Concept of area of
triangles,
parallelograms and
Understand the concept of
perimeter to solve problems
Understand the concept of area of
rectangles to solve problems
Understand the concept of area of
triangles, parallelograms and
trapezium to solve problems
i
Identify the perimeter of a region
Curious
Identify
ii
Find the perimeter of a region enclosed by
straight lines
Cooperate
Compare &
distinguish
iii
Solve problems involving perimeters
i
Estimate the area of a shape
ii
Find the area of a rectangle
iii
Solve problems involving areas
i
Identify the heights of triangles,
parallelograms and trapeziums
Inquiry
Making decision
Estimate
Solve problems
Curious
Identify
Constructivism
12
trapezium
ii
Find the areas of triangles, parallelograms
and trapeziums
iii
Find the areas of figures made up of
triangles, rectangles, parallelograms or
trapeziums
Rational
Interpret /
explain
information
Accurate
Making dicision
Cooperate
Solve problems
iv
37
12
SOLID GEOMETRY
12.1
Geometric properties of
cubes and cuboids
Students will be able to:
Understand geometric properties
of cubes and cuboids
i
Identify geometric solids
ii
State the geometric properties of cubes and
cuboids
iii
38
12.2
Volume of cuboids
Solve problems involving the areas of
triangles, rectangles, parallelograms and
trapeziums
Understand the concept of volume
of cuboids to solve problems
Curious
Systematical
Compare &
distinguish
Rational
Interpret /
explain
information
Draw cubes and cuboids on:
a. Square grids.
b. Blank paper.
Constructivism
Problem
solving
Contextual
learning
Making decision
iv
Make models of cubes and cuboids by:
a. Combining given faces.
b. Folding given layouts of solids.
i
Estimate the volume of cuboids
Estimate
ii
Find the volume of cuboids
Systematical
iii
Solve problems involving volume of
cuboids
Accurate
Recognize
relationship
Problem
solving
Interpret /
explain
information
Future studies
Solve problems
Self-access
learning
ICT
13