PRIMARY THREE MATHEMATICS TOPICAL BREAKDOWN LESSON NOTES TERM I

Theme

Sub-theme

Content

Evaluation activity

Our Division

Name and location of our Division

Counting and finding missing numbers

Numbers between 0 – 99 e.g.

1. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
2. 11, 12, 13, 14, 15, 16, 17, 18, 19, 20
3. 52, 53, 54, 55, 56, 57, 58
4. 30, 40, 50, 60, 70, 80, 90, 100

Pupils will do a filling in exercise

1. 5, 10, 15, ____, 25, 30, 35, ____, 45, 50, ____, 60
2. 10, 9, 8, 7, 6, ____, 3, 2, ____, 0
3. 45, 46, 47, 48, ____, 50, 51, ____, 53
4. 100, 90, ____, 70 60, 50, ____, 30, 10
   1. 52, 54, 56, ____, 60, 62, ____, 66

Theme

Sub-theme

Content

Evaluation activity

Our Division

Name and location of our Division

Sets

Definition a set is a collection of well defined objects.

Naming sets e.g.

e.g A set of vowel letters {a, e i, o, u}

A set of balls

Forming sets e.g. Draw a set of numbers 1, 2, 3, 4, 5, 6

b) Draw a set of books

Counting members in a set

e.g. a) A set of two trees

b) A set of 3 pots.

1. Draw these sets
2. A set of 2 bottles
3. A set of 5 huts
4. A set of 6 chairs
5. Name the sets below
   1. b) (c)

b, c, f, Tina

Elizabeth

Mary

Theme

Sub-theme

Content

Evaluation activity

Our Division

Name and location of our Division

Making new sets

Subset – A subset s a small set got from a big set.

Symbol for subset C and not subset C

What is a subset?

1. Make and name new sets.

Theme

Sub-theme

Content

Evaluation activity

Our Division

Name and location of our Division

Empty sets / null set

Definition An empty set is a set with no members. The symbol for empty set is { } or

Using empty or not empty

1. A set of men who breastfeed babies. Empty set
2. A set of birds with two eyes. Not empty set
3. A set of animals eaten as food. Not empty set

1. What is an empty set?
2. Use empty or not empty
3. A set of flies which are as big as flies.
4. A set of people who are women.
5. A set of homes with 10 people.
6. A set of cows with 3 eyes.
7. A set of 7 books.
8. Name the symbol given. { }

Theme

Sub-theme

Content

Evaluation activity

Our Division

Name and location of our Division

Grouping members in a set

1. Grouping in twos
   
2. Grouping in threes
   
3. Grouping in fives
   

Example

There are 6 groups of two eggs.

Group and fill the gaps.

Exercise 1g of MK old edition pg8

Theme

Sub-theme

Content

Evaluation activity

Our Division

Name and location of our Division

Comparing sets using more or less

Examples

M N

g y x

w z

Set M has 4 members

Set N h as 5 members

Set N has more members than set M.

Exercise 1d of MK old edition pg4

Theme

Sub-theme

Content

Evaluation activity

Our Division

Name and location of our Division

Types of sets

1. Equal sets : these are sets with same members and same number of objects.

e.g. A B

 1, 2, 3 1, 2, 3

Set A has 3 members

Set B as 3 members

Since the members are the same, therefore they are equal sets.

Symbols are;

= equal to not equal to

Exercise 1n Mk old edition pg18.

Theme

Sub-theme

Content

Evaluation activity

Our Division

Name and location of our Division

Types of sets

1. Equivalent sets and non equivalent sets

These are sets with the same number of elements; however the members may not be the same.

e.g. X Y

1 7 8

Set X and set Y are equivalent sets.

Define equivalent sets

Exercise 1n Mk old edition pg 18.

Theme

Sub-theme

Content

Evaluation activity

Our Division

Name and location of our Division

Listing members in a set

e.g. 1, 2, 3, 0, 5 = {0, 1, 2, 3 5}

 = { }

Matching sets

 f a

 h b

 g c

Exercise 1m of MK old edition pg 16.

Theme

Sub-theme

Content

Evaluation activity

Our Division

Name and location of our Division

Finding common numbers (intersection)

Intersection symbol; Ç

e.g. A = {1, 2, 3, 4} B = {0, 1, 2, 5}

A Ç B = {1, 2}

R = { } S = { }

R Ո S = { }

Exercise from a textbook

Identifying the intersection part on a venn diagram

Eg.

A B

Theme

Sub-theme

Content

Evaluation activity

Our Division

Name and location of our Division

The union set

Finding members in the union set using curry brackets.

e.g. A ={a, b, c, d, f, e}

B = {d, e, f, a}

P = {1, 2, 3, 4}

Q = {3, 5, 7, 9}

A È B = {a, f, e, b, c, d}

P È Q = {1, 2, 3, 4, 5, 7, 9}

An exercise from a text book

Union symbol = ∪

Identifying the union part on a venn diagram

Eg.

A B

Theme

Sub-theme

Content

Evaluation activity

Our Division

Name and location of our Division

Finding number of members in a given set using symbol (n)

e.g. P = {1, 4, 7}

Find n (P)

P = {1,4,7}

n (P) = 3 members

M = {a, e, i, o, u}

Find n(M)

M = {a,e,i,o,u}

n(M) = 5 members

An exercise from a textbook

Theme

Sub-theme

Our Division

Name and location of our Division

Finding the number of members in the intersection set using symbol (n)

e.g. P = {a, b, c}

Q = {c, f, a}

Find n (PÇQ)

PÇQ = {a}

n(PÇQ) = 1 member

A = {1, 2, 3, 5}

B = {2, 3, 5, 7, 9}

Find n(AÇB)

AÇB = {2, 3, 5}

n(AÇB) = 3 members

Theme

Sub-theme

Content

Evaluation activity

Our Division

Name and location of our Division

Finding number of members in the union set

e.g. S = {1, 2, 3, 4}

J = {6, 7, 8}

Find n (SÈJ)

SÈJ = {1, 2, 3, 4, 6, 7, 8}

n(SÈJ) = 7 members

A = {a, b, c, d, e}

B = {a, e, i, o, u}

Find n(AÈB)

AÈB = {a, b, c, d, e, i, o, u}

n(AÈB) = 8 members

An exercise from the textbook.

Theme

Sub-theme

Content

Evaluation activity

Our Division

Name and location of our Division

1. Shading given sets

   e.g shade set A

A B

1. Representing information on a venn diagram
   

Examples given;

X = {0, 1, 2, 3, 4} Y = {1, 4, 7, 8, 0}

 X Y

 3 1 4 7

 1 0 8

P = {a, b, c, d} Q = {d, e, f, g, i}

P Q

 a d f

b c d i

1. Answering questions about a venn diagram

A B

1 3 5 6 find; (i) A∪B

4 0 7 (ii) AՈB

(iii) A only etc

An exercise from the textbook

Theme

Sub-theme

Content

Evaluation activity

Our Division

Physical features in our division

Numeration system and place values (abacus)

Writing numbers on the abacus

H T O TH H T O

 3 4 4 4 2 0 3

An exercise from the MK 2000 bk3 pg21

Theme

Sub-theme

Content

Evaluation activity

Our Division

Physical features in our division

Place values

Filling in missing numbers in their place values e.g.

1. 603 = 6 hundreds 0 tens 3 ones
2. 14 = 1 tens 4 ones
3. 348 = 3 hundreds 4 tens 8 ones

Write these numbers

1. 3 hundreds 4 tens 5 ones = 345
2. 2 tens 6 ones = 26

An exercise from the MK 2000 Bk3 pg 222 and 223

Theme

Sub-theme

Content

Evaluation activity

Our Division

Physical features in our division

Finding place values

e.g. TH T H O

 1 2 3 4

4 is ones, 3 is tens, 2 is hundreds, 1 is thousands

Find the place value of 8 in the number: 4789

Solution: 4789

tens

The place value of 8 is tens

An exercise from primary MTC Bk3 page 35

Theme

Sub-theme

Content

Our division

Physical features in our division

Finding values of given numbers

e.g find the value of 6 in the number 469

H T O

469 = 4 6 9

( 6×10) = 60

The value of 6 is 60

Theme

Sub-theme

Content

Livelihood in our division

Social services and their importance

Finding sum of values

e.g find the sum of the values of 7 and 8 in the number shown above

ThHTO

4789 = 4789

(8×10)=80

(7×100)=700

700

+80

780

Theme

Sub-theme

Content

Livelihood in our division

Social services and their importance

Expanding numbers using place values

Eg. Expand 234

HTO

234 = (2×100)+(3×10)+(4×1)

Theme

Sub-theme

Content

Livelihood in our division

Social service and their importance

Eg. Expand 234 using values

234= 200+30+5

Theme

Sub-theme

Content

Livelihood in our division

Social services and their importance

Writing expanded numbers in short form

Eg. What number has been expanded?

700+20+3 = 700

20

+ 3

723

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Social services and their importance

Writing figures in words

e.g. Write 48 in words

solution: 48 = 40 forty

+ 8 eight

48 forty eight

An exercise from MK 2000 Bk3 pg23

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Social services and their importance

Writing numbers in figures

e.g. Write ‘Two hundred twelve’
in figures

Two hundred = 200

Twelve = +12

Two hundred twelve 212

An exercise 2g Mk Bk3 pg24

Theme

Sub theme

Content

Evaluation activity

Livelihood in our division

Social services and their importance

Roman Numerals

(I,II, III, IV, V, VI, VII, VIII, IX, X, L, —–)

Converting Hindu Arabic numerals to Roman numerals

Converting Hindu Arabic numerals to Roman numerals

e.g. Convert 42 into Roman numerals

42 = 40 + 2

 = XL + II

 = XLII

Convert 15 into Roman numerals

15 = 10 + 5

= X + V

= XV

An exercise from MK old edition pg 44

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Social services and their importance

Roman numerals

Converting Roman numerals to Hindu Arabic numerals

e.g. Change VIII to Hindu Arabic numerals

VIII = 8

Change XXIV to Hindu Arabic numerals

XXIV = XX + IV

 = 20 + 4

 = 24

An exercise from MK old edition pg44

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Challenges in social services and their solutions

Definition

Even numbers are numbers which are exactly divisible by 2.

Types of numbers

Even numbers

e.g. 0, 2, 4, 6, 8, 10, 12, 14, …………..

An exercise from MK 2000 Bk3 pg20

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Challenges in social services and their solutions

Definition of odd numbers: are numbers which are not exactly divisible by 2.

Types of numbers

Odd numbers

e.g. 1, 3, 5, 7, 9, 11, 13, 15, …………..

An exercise from MK 2000 Bk3 pg20

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Challenges in social services and their solutions

Operation on whole numbers

Addition of tens and ones vertically without carrying

1 1 add ones = 1 + 2 = 3

+1 2 add tens = 1 + 1 = 2

2 3

Word problems

Ashabe had 32 mangoes, she picked 17 more mangoes. How many mangoes did she have altogether?

Solution

3 2 mangoes

+ 1 7 mangoes

4 9

An exercise from MK 2000 bk3 pg 40 and 41

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

Addition with carrying (vertically)

e.g. 8 6 6 + 4 = 10

+ 2 4

1 1 0

Word problems

Tushabe had 27 litres of milk. His mother gave him more 14 litres of milk. How many litres of milk did he have altogether?

Solution 2 7 litres 7 + 4 = 11

+ 1 4 litres

4 1 litres

Exercise 3c from MK 2000 Bk3 pg 42

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

Addition up to 4 place vales with and without carrying

e.g. Add TH H T O

1 4 1 3

+ 2 3 0

1 6 4 3

Word problems

A train carried 20 children, 23 men and 125 women. How many people did it carry altogether?

Solution Children 2 0

Men 2 3

Women + 2 5

Altogether 1 68 people

Exercise 3d from MK 2000 Bk3 pg43

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

Addition using a number line

e.g. Add: 2 + 8 =

0 1 2 3 4 5 6 7 8 9 10

 2 + 8 = 10

Add: 5 + 3 =

 0 1 2 3 4 5 6 7 8 9 10

 5 + 3 = 8

Exercise 4k from Mk old edition Pg 55

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

Word problems

e.g. Sungura had 65 cows. He sold off 35. How many cows remained?

soln 6 5 5 – 5 = 0

– 3 5 6 – 3 = 3

 3 0 cows

Exercise 4b from Mk 2000 bk3 pg49

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

More subtraction

e.g. 1 2 7 7 – 2 = 5

– 3 2 12 – 3 = 9

9 5

Exercise 4c from Mk 2000 Bk3 Pg50

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

More subtraction

e.g. Take away 53 from 91

8 9 ¹1

– 5 3

 3 8

Exercise 4d from Mk 2000 Bk3 Pg51

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

Subtraction of 4 digit numbers

e.g. 3 6 4 2

– 3 2 1

3 3 2 1

Word problems e.g. on Pg 54 of MK 2000

Evaluation activity

Exercise 4e from Mk 2000 bk3 Pg 52

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

Subtracting using a number line

e.g. 5 – 3 =

 0 1 2 3 4 5 6 7 8 9 10

 5 – 3 = 2

An exercise from Trs resource book

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

Multiplication table (x2)

1. Complete the table

 3 4 3

x 2

6 8 6

Exercise 5a from Mk 2000 Bbk3 Pg 55

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

Multiplication x2

Word problems

e.g. How many eyes do 5 boys have?

Solution 5 x 2 = 10eyes

Exercise 6e from Mk Old edition pg65

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

Multiplication table (x3)

Complete the table

1 4 4 x 3 = 12

X 3 3 x 1 = 3

4 2 3 + 1 = 4

Exercise 5d from Mk 2000 Bk3 Pg58

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

Multiplication x3

Word problems

e.g. One book has 12 pages. How many pages do 3 similar books have?

Solution

1 2 2 x 3 = 6

X 3 1 x 3 = 3

3 6 pages

Exercise 5e from Mk 2000 Bk3 pg 58

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

Multiplication table (x4)

Complete the table

1 5 5 x 4 = 20

X 4 1 x 4 = 4

6 0 ( 4 + 2) = 6

Exercise 5g from Mk 2000 Bk3 Ppg61

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

Multiplication table (x6 and x5)

Complete the table

Multiply

1 2 3 3 x 6 = 18

X 6 2 x 6 = 12

7 3 8 (12 + 1) = 13

 1 x 6 = 6

 (1 + 6) = 7

Exercise 5L from Mk 2000 Bk3 Pg 65

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

Multiplication x6 Word problems

e.g. 1 kg of sugar costs 1200/=. What will be the cost of 6kg?

1 2 0 0 0 x 6 = 0

X 6 0 x 6 = 0

7 2 0 0 2x 6= 12

 1 x 6 = 6

 (6 + 6) = 7

An exercise from Trs resource book

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Soil

Multiplication x7

e.g. Multiply

2 3 3 x 7 = 21

x 7 2 x 7 = 14

1 6 1 (14 + 2) = 16

Exercise 5n from Mk 2000 Bk3 Pg66

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Natural causes of challenges in our environment

1. Complete the table

1. Word problems

e.g How many days are there in 3 weeks?

Solution : 3 x 7 = 21 days

An exercise from Trs resource book

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Natural causes of challenges in our environment

Multiplication x8

e.g. Multiply

3 2 2 x 8 = 16

x 8 3 x 8 = 24

2 5 6 (24 + 1) = 25

Exercise 5p from Mk 2000 Bk3 Pg 67

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Natural causes of challenges in our environment

Complete the table

How many legs do 2 spiders have?

2x 8= 16 legs

An exercise from Trs resource book

Livelihood in our division

Natural causes of challenges in our environment

Word problems

An exercise book has 36 pages. How many pages do 9 exercise books have?

e.g. Multiply

3 6 6 x9 = 54

x 9 3x 9 = 27

32 4 (27 + 5) = 32

An exercise from teacher’s resource book.

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Natural causes of challenges in our environment

Multiplication table 10

e.g. Multiply 32 x 10

12×10=120

32×10=320

48×10=480

53×10=530

Complete the table

Exercise 5t from Mk 2000 Bk3 Pg 69

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Natural causes of challenges in our environment

Word problems

Complete the table

How many toes do 5 boys have?

 1 0

x 5

5 0 toes

Multiplication table 11

E.g multiply 2 x 11

11

X2

22

Exercise from Mk Bk3 Pg 97

Theme

Sub-theme

Content

Evaluation activity

Livelihood in our division

Natural causes of challenges in our environment

Multiplication by 12

Complete the table

How many books are there in 3 dozens of books?

 1 2

x 3

3 6 books

An exercise from Trs collection

Theme

Sub-theme

Content

Livelihood in our division

Changes in the environment through human activities

Division of simple numbers

e.g.

i) 36 ÷ 4 = 9

ii) 25 ÷ 5 = 5

iii) 15 ÷3 = 5 etc

P.3 MATHEMATICS LESSON NOTES TERM 2 2016

Lesson I

Number facts and sequences

Filling in the missing numbers

Content: Counting in twos, threes, fours, fives and tens (ascending)

Examples

1. 0, 2, 4, 6, ___, 10, ___, 14
2. 0, 3, 6, 9, ____, ____, 18
3. 4, 8, ____, 16, ____, 24, ____, 32
4. 0, ___, 10, 15, ____, 25, ____
5. 10, 20, 30, ___, 50, ____

An activity in MK bk3 pg84

Topic

Subtopic

content

Evaluation activity

Lesson 2

Number patterns and sequence

Filling in the missing numbers

Counting in twos, threes , fours , fives and tens in a ascending and descending order

Examples:

16 , ___ , 12 , _____ , 8 , 6 , ___ , 2 , 0

1. 9, ___, 3, 0
2. 60, ____, 40, ____, 20, 100

An activity MK bk3 pg85

Topic

Subtopic

content

+

Evaluation activity

Lesson 3:

Number facts and sequences

Completing tables

Filling in the missing numbers (tables of addition)

e.g.

b

3

c 8 +4 6 a

4 ___ b +10 4 ____

8

7

a=_______b=______c=______d=______

MK bk3 pg81

Topic

Subtopic

content

Evaluation activity

Lesson 4

Number facts and sequences

Completing tables

Tables of subtraction

example

d

10

20 c 20- 14 a

b

19

___ ____

5 15- 4

___

9

Written exercise

Topic

Subtopic

content

Evaluation activity

Lesson 5

Number facts and sequences

Completing tables

Tables involving multiplication and division

Example

21

9 = 7 x 2 = 14

d 8 7x 2 a b = 21 ÷ 7

= 3

d

35

___ ____

5 15- 3

___

10

Written exercise

Topic

Subtopic

content

Evaluation activity

Lesson 6

Number facts and sequences

Filling in the missing numbers

Relationship between multiplication and division

Examples

 12 ÷ 4 =

3 x 4 = 12

 12 ÷ 3 =

 d

 10

 c 2 20÷ 4 a

 5

 b

An activity from MK bk3 pg86

Topic

Subtopic

content

Evaluation activity

Lesson 8

Number facts and sequences

Filling in the missing numbers

Sum at the centre of tables

Example

The sum at the centre is 15. Find the missing numbers.

e.g.

b

3

c 3 15
7 a

d

11

An activity from MK bk3 pg81

Topic

Subtopic

content

Evaluation activity

Lesson 9 and 10

Number facts and sequences

Filling missing numbers

Completing magic square

Examples

Magic sum = 7 + 4 + 1 = 12

 b + 9 + 7 = 12

 b + 9-9 =12-9

 b = 3

An activity from MK bk3 pg87

Topic

Subtopic

content

Evaluation activity

Lesson 11

Fractions

i)Naming fractions

Definition

A fraction is a part of a whole.

Figure words

1 a whole

½ a half

¹/₃ a third

¼ a quarter

¹/₅ a fifth

²/₃ two thirds

³/₅ three fifth

ii) writing fractions in figures

1. Three quarters = ______
2. Five tenths = _______
3. Two fifth = ______
4. A third = _______

A written exercise

Topic

Subtopic

content

Evaluation activity

Lesson 12

Fractions

Comparing fractions

Comparing fractions using greater than or less than

½ ¹/₃

½ is greater than ¹/₃

An activity from MK BK3 pg99-100

Topic

Subtopic

content

Lesson 13

Fractions

Comparing fractions

Comparing fractions using symbols

i.e. >, < or =

a) ¹/₁₀ < ¹/₉

b) ¼ = ¼

c) ¹/₅ > ¹/₆

Topic

Subtopic

content

Evaluation

Lesson 14

Fractions

Shaded and unshaded fractions

Examples

1. Shaded fraction = ¾

1. Unshaded fraction = ¼

   

2. Shaded fraction = ²/₅
3. Unshaded fraction = ³/₅

An activity from MK bk3 pg97

Topic

Subtopic

content

Evaluation

Lesson 15

Fractions

Drawing and shading fractions

Examples

Draw and shade the fractions below

¾ ¹/₂

An activity from pg98

Topic

Subtopic

content

Evaluation

Lesson 16

Fractions

Addition of fractions

Examples

a) 1 + 2 = 1 + 2 = 3

 4 4 4 4

b) 5 + 4 = 5 + 4 = 9

 10 10 10 10

Word problems

c) Find the sum of ⁷/₁₅ and ⁴/₁₅

7 + 4 = 7 + 4 = 11

 15 15 15 15

d)

1 + 2 + 3 = 1

3 3 3

An activity from MK bk3 pg104 and 103.

Topic

Subtopic

content

Evaluation

Lesson 17

Fractions

Subtraction of fractions

Examples

3 – 2 = 3 – 2 = 1

 10 10 10 10

Word problems

Find the difference between ¹³/₁₆ and ⁹/₁₆.

13 – 9 = 13 – 9 = 4

 16 16 16 16

A boy had ⁵/₆ of a cake. He ate ²/₆ of it. What fraction remained?

5 – 2 = 5 – 2 = 3

 6 6 6 6

An activity from MK bk3 pg108

Topic

Subtopic

content

Evaluation

Lesson 18

Fractions

Finding number of fractions in a whole

Examples

1. How many halves are in 2 wholes?

½ ½ ½ ½

= 4 halves

An activity from teachers’ collection

Topic

Subtopic

content

Lesson 19

Fractions

Finding number of fractions in a whole

How many quarters in 2 wholes?

¼ ¼ ¼ ¼ = 8 quarters

¼ ¼ ¼ ¼

How many thirds are in three wholes?

 =9 thirds

Topic

Subtopic

content

Evaluation

Lesson 20

Fractions

Fractions of a group

Examples

What is a ½ of 8?

Note: The word ‘of’ changes to multiply

½ of 8 = ½ x 8 = 1 x 8 = 8 = 8÷2 = 4

2 2

An activity from teachers’ collection

Topic

Subtopic

content

Evaluation

Lesson 21

Graphs

Pictographs (with a scale and without a scale)

Example

The pictograph below shows the number of books given to the five best pupils in different games. Study it and use it to answer the questions below.

= 2 books

Questions:

a) What is the scale on the graph?

b) How many books has Moses?

 3 x 2 = 6 books

An activity from MK bk3 pg115

Topic

Subtopic

Content

Evaluation activity

Graphs

Bar graphs

Example

6

5

4

3

2

1

0

Football Volleyball netball tennis

1. How many pupils play football?
2. Which game is played by most children?
3. How many more pupils play football than netball?

Activity from MK bk 3 pg 113-115

Topic

Subtopic

Content

Evaluation activity

Lesson 24

Graphs

Pictographs

Example: the pictograph below shows the number of books given to five best pupils in different games. Study it and use it to answer questions that follow

Stands for 10 books

a)how many books did Josephine get?

b) how many books did Teo get?

c) How many more books did Haruna get than Alex?

d) Who has the least number of books?

Mk 2000 MT bk 3 pg 110-111

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Evaluation activity

Lesson 25

Graphs

Pictographs

Drawing pictographs

Example: five girls were told to pick flowers from the garden and each picked the follow

Rose picked 6 flowers

Jamila picked 3 flowers

Annet picked 2 flowers

Sarah picked 6 flowers

Questions

1. Make a picture graph and show the information above
2. Which two girls picked the same number of flowers?

Activity in MK 2000 MTC Bk 3 pg 112

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content

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Activity

Lesson 1

Geometry

Types of shapes

Definition

Geometry is a branch of mathematics that deals with the study of shapes and their properties.

Types of shapes

An activity from Understanding Mathematics BK3 pg63 and MK bk3 p117.

Topic

Subtopic

content

Evaluation activity

Lesson 2

Geometry

Counting shapes

Example

1. Count the rectangles

= 3 rectangles

1. Count the triangles

= 3 triangles

1. Count the squares

= 3 squares

An activity from MK bk3 pg118

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Subtopic

content

Evaluation

Activity

Lesson 3

Measures

Days of the week

Listing the days of the week

Sunday

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Questions

1. What is the first day of the week?
2. What is the last day of the week?
3. Which day of the week comes after the first day of the week?
4. Name the day of the week that comes before a day Muslims go for prayers?

An activity from MK Bk 3 Pg 126

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content

Evaluation activity

Lesson 4

Measures

Changing weeks to days

Examples

How many days are there in 2 weeks?

1 week has 7 days

2 weeks have (2 x 7)

= 14 days

An activity from MK bk3 pg126

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Subtopic

content

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Lesson 5

Measures

Changing days to weeks

Example

Convert 21 days to weeks

Solution 7 days make a week

21 days make 21 = 3 weeks

7

An activity from teachers’ own collection

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Subtopic

content

Evaluation

Lesson 6

Measures

Completing tables about days and weeks

Examples

 1 x 7 2 x 7 35÷ 7

 1 – 7 days 14 5

An activity from MK bk3 pg126

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content

Evaluation

Lesson 26

Measures

Months of the year with their days

Listing months of the year

1. January – 31
2. February – 28/29
3. March – 31
4. April – 30
5. May – 31
6. June – 30
7. July – 31
8. August – 31
9. September – 30
10. October – 31
11. November – 30
12. December – 31

Formulated questions by the teacher

Mk bk3 pg138

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Lesson 9

Measures

Changing years to months

Example

There are 12 months in a year. How many months are in 2 years?

1 year has 12 months

2 years have (2 x 12)

= 24 months

Mk bk3 pg139

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content

Evaluation

Lesson 28

Measures

Changing months to years

Example

How many years are in 36 months? (use repeated subtraction)

 3 6

– 1 2 (1 year)

 2 4

– 1 2 (1 year)

 1 2

– 1 2 (1 year)

0 0

\ 3 years are in 36 months.

An activity from teacher’s own collection

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content

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Lesson 10

Measures

Completing tables about months and years

Example

Complete the table below

 2 x 12 36 ÷ 12

= 24 months 3 years

An activity from MK bk3 pg139

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content

Evaluation

Lesson 11

Measures

How old: (Finding one’s age)

Example

Mike was born in 1989. How old was he in 1997?

 1997

– 1989

 0008 years

Mike was 8 years old

An activity from MK bk3 pg140

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content

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Lesson 13

Measures

Telling time

Telling time in hours

Eg. Tell the time

It is 12 o’clock 01 12:00

MK bk 3 pg 127

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Evaluation

Lesson 14

Telling time

Telling time in a half past

e.g. tell the time

It is a half 8 o’clock or 8:30

MK bk 3 pg 129

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content

Evaluation

Lesson 15

Telling time

Telling time using a quarter past

e.g. tell the time

it is a quarter past 7 o’clock or 7:15

MK bk 3 pg 128-129

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Lesson 16

Telling time

Telling time using a quarter to

e.g. tell the time

it is a quarter to 12 o’clock or 11?45

MK bk 3 pg 132

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Evaluation

Lesson 17

Measures

Telling time

Telling time in minutes past

e.g. it is 20 minutes past 12 o’clock

MK 2000 bk 3 pg 133-134

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Evaluation

Lesson 18

Measures

Telling time

Telling time in minutes to

e.g. it is 5 minutes to 3 o’clock or 2:55

MK 2000 MTC bk 3 pg 136-137

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Lesson 19

Telling time

Word problem

e.g change 2 hours to minutes

2 hours = minutes 1hour = 60 minutes

1 hour = 60minutes or 2 hours = 60 x 2 = 120 minutes

2 hours = 60 x 2

60

X2

120

Convert 3 hours to minutes

Change 4 hours to minutes

How many minutes are there in 5 hours?

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Evaluation

Lesson 20

Telling time

Word problem

Changing from minutes to hours

e.g. convert 120 minutes to hours

120 minutes = hours

60 minutes = 1 hour

120 minutes = 120 ÷ 60

120 = 2hours

60

Change 360 minutes to hours

Convert 120 minutes to hours

Topic

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content

Evaluation

Lesson 21

Measures

Drawing and showing on a clock face

Represent

e.g. a half past 3 o’clock

a quarter to 8 o’clock

a quarter past 2 o’clock

MK 2000 MTC bk 3 pg 137

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content

Evaluation

Lesson 22

Measures

Money

Recognition of money

Notes Coins

1000 note 50 coin

50,000 note 100 coins

5000 note 200 coins

10000 note 500 coins

20000 note

Addition of money

1. (2)

Shs 200 shs 1000 + shs 500 + shs 100

Shs 50 shs 1000

Shs 250 shs 500

+ shs 100

 Shs 1600

An activity from MK bk3 pg176 and 178

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Lesson 23

Measures

Money

Addition of money (word problems)

Examples

I had 100 shillings. My father gave me 50 shillings more. How much money do I have altogether?

I had 100 shillings

Father gave me + 50 shillings

I have 150 shillings

Mk bk3 pg178

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Lesson 24

Measures

Money

Subtraction of money (word problems)

Example

Mukooza had shs 350. He gave away shs 100. How much money did he remain with?

Shs 350

– shs 100

Shs 250

Mk bk3 pg180

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Lesson 25

Measures

Money

Shopping

Example

The table below shows the price list in Mrs. Yiga’s shop. Use it to answer the questions that follow

Questions

1. How much does a pencil cost?
2. What is the cost of an egg and a pen?

Mk bk3 pg181

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Lesson 26

Topic: Measures

Subtopic: Money

Content: Shopping with pictorial

Example

A bag an apple A pencil a book

Shs 500 shs 800 shs 100 shs 300

1. What is the cost of 2 pencils?

   Shs 100 x 2 = shs 200

2. What is the cost of 3 bags and 2 books?

   Bags = 3 x 500 = shs 1500

   Books = 2 x 300 = + shs 600

   Shs 2100

From understanding mathematics bk 3 pg 73.

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Lesson 27

Measures

Money

Division of money

Examples

Divide shs 1200 by 3

 0400

3 1200 \ shs 1200 ÷ 3 = shs 400

0 x 3 = 0

 12

4 x 3 = 12

00

MK bk3 pg187

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Lesson 28

Measures

Money

Word problems involving division of money

Example

Mr. Kasule had shs 800. He shared it equally between his two children. How much did each child get?

400

2 800

4 x2 = 8

 000

2 x 0 = 00

00

\ Each child gets shs 400

Mk bk3 og187

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Evaluation

Lesson 29

Measures

Length

Units for length

e.g centimeter , metres, decimeter, hectometers , kilograms

changing from metres to centimeter

e.g. convert 3 metres to centimeters

3m = cm

1m = 100cm

3m = 100

100

+100

300cm

Activity in MK 2000 Mtc bk 3

Topic

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Evaluation

Lesson 30

Measures

Changing from centimeters to metre

Example

Change 200cm to metres

100cm = 1 m

200cm = 200cm = 2metres

100

Activity MK bk 3

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Evaluation

Lesson 31

Measures

Addition of metres and centimeters

Examples

Add;

M cm

2 45

+ 6 36

8 81

Activity in Mk 2000 Mtc bk 3 pg 14

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Evaluation

Lesson 32

Measures

Word problem involving addition of metres and centimeters

Example;

A shopkeeper has 2m 38cm of nylon cloth and 6m 30cm of cotton cloth. What is the total length of the pieces of cloth.

M cm

4 38

+ 6 30

10 68

Activity in MK 2000 bk 3 pg 148

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Lesson 33

Measures

Subtraction of metres and centimeters

Example

M cm

6 50

– 4 30

2 20

Activity Mk 2000 MTC bk 3 pg 149

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Evaluation

Lesson 34

Measures

Word problem involving subtraction of metres and centimeters

Example

Musa had a string of 8m 47cm. he cut off 2m 16cm. what length of the string was left?

M cm

8 47

– 2 16

6 31

Activity in Mk bk 3 pg 150

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Evaluation

Lesson 35

Measures

Finding perimeters

Perimeter

Definition: perimeter is the total distance around any give figure

Example

Find the perimeter of the figure below

4cm

2cm

P = s+s+s+s

4cm +2cm+4cm+2cm

6cm +6cm

=12cm

Activity in MK bk 3

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Lesson 36

Measures

Word problems involving finding perimeter of a shape

Example

A square garden measures 12m each side. Find its perimeter

12m

12m 12m

12m

P= s+s+s+s

= 12m+12m+12m+12m

= 24m + 24m

= 24m

+ 24m

48m

Activity in MK MTC bk 3

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Lesson 37

Measures

Finding area

Example counting squares

Area = number of square units

12sq units.

Activity in MK MTC bk 3 pg 152

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Evaluation

Lesson 38

Measures

Finding area of the shaded part

Example; area = number of sq units

= 15 sq. units

Activity in MK MTC bk 3 pg 155

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Evaluation

Lesson 39

Measures

Finding the area by multiplying

Example; area = number of sq. units

= (3 squares across)x(2sqaures down)

= 3 x 2

= 6 squares units or 6 sq. units

Example 2; area = length x width

8cm 8cm x 3cm

24cm² or 24 sq. centimeters

3cm

Activity in MK bk 3 pg 155-156

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Lesson 40

Measures

Word problem involving finding area

Example

Mary’s note book is 4cm long and 3cm wide

Find its area

4cm area = L x W

= 4cm x 3cm

3cm = 12cm²

Activity in Mk MTC bk 3 pg 157-158

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Lesson 41

Capacity

Energy in our sub county

Example: How many ½ litres make a litre.

½ litre + ½ litre = 1 litre

Therefore, 1 litre = 2 halves

New MK bk 3 pg 161

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Evaluation

Lesson 42

Capacity

Changing litres to centilitres

1 litre = 100cl

3 litres = (3×100)cl

3litres = 300cl

Teachers collection

Topic

Subtopic

Content

Evaluation

Lesson 43

Capacity

Changing centiliters to litres

Example: How many litres are in 500cl?

1 litre = 100cl

? = 500cl

500cl litres

100cl

= 5 litres

Teacher’s collection

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Lesson 44

Capacity

Adding litres and centiliters

Example; Add;

1 5 0 litres

+ 3 5 0 litres

5 0 0 litres

Example 2

Add;

Litres centiliters

3 25

+2 60

5 85

Teachers’ collection

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Evaluation

Lesson 45

Capacity

Word problem involving addition of litres.

Mr. Lubega made 24 litres of juice and Kato made 78 litres. How much juice did the two men make?

2 4 litres

+7 8 litres

10 2 litres

Therefore, they made 102 litres of juice

New MK nk 3 pg 163

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Evaluation

Lesson 46

Capacity

Subtraction of ltires and centiliters

Example:

2 4 7 litres

• 2 5 litres

2 2 2 litres

Topic

Subtopic

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Evaluation

Lesson 47

Measures

Weight