Mathematics form 1

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


Multiple Intelligence

Logic Thrifty

ii


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


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


Communica tion

To identify

Constructivism

Systematical

Discovery Constructivism

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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


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

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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


Communica tions Multiple Intellegence ICT Problem Solving

4

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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

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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


DECIMALS Relationship between decimals and fractions


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

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15

15

16

4.2

4.3

4.4

4.5

Place value and value of each digit in decimals


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


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


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


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


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

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5.1

5.2

6 18

20

6.1

6.2


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


Analyses


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


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

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7.1

ALGEBRAIC EXPRESSIONS Unknown

Solve problems involving subtraction of integers

Contextual learning


Understand the concept of unknowns

i

Use alphabets to represent unknown numbers

ii

Identify unknowns in given situations

Systematical Logic Curious


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


Constructivism Thinking Skill

Making decision

24

7.3

Algebraic expressions

Understand the concept of algebraic expressions

iii

8

25

8.1


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


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


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


Mastery learning Discovery


9

iv

Determine the interval between two given time

v

Solve problems involving time

Making decision Solve problems

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9.1


LINES AND ANGLES Angles

Understand the concept of angles

i

Recognise angles

Systematical

ii

Denote and label angles

Curious


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

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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


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


10

intersecting lines 10 28

10.1


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

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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


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

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35

36

11.1

11.2

11.3


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


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


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


Rational


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


Future studies

Solve problems

Self-access learning

ICT

13