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GREENHILL ACADEMY
TOPIC BREAKDOWN
THEME: SEVEN, MANAGING RESOURCES IN OUR ENVIRONMENT
Fractions
– Definition
– Names and parts of fractions
– Types of fractions
a) Proper
b) Improper
c) Mixed fractions
Writing fractions in words and vice versa.
– Finding the shaded and unshaded fractions.
– Equivalent fractions
– Addition of fractions
– Subtraction of fractions
– Multiplication of fractions
THEME: EIGHT; KEEPING PEACE IN OUR SUBCOUNTRY / DIVISION
Measures
Time
– Months, weeks and days
– Telling time by hours, half an hour, a quarter past and quarter to.
– Minutes past and to.
– Changing hours to minutes and vice versa.
– Adding hours and minutes
– Changing days to weeks and vice versa.
– Adding days and weeks.
– Subtracting days and weeks.
– Duration.
THEME NINE; CULTURE AND GENDER
Graphs
– Pictographs – Using pictures to show information.
Stands for 10 books
1 book stands for 10 books.
 Bar graphs / column
 Circle or pie chart.
 Recording information and making tallies.
THEME TEN; OUR HEALTH
Measures
Money
– Background
– Conversion of units
– Addition of money
– Word sums
– Subtraction of money
– Multiplication of money
– Division of money
– Shopping
THEME SEVEN; MANAGING RESOURCES
Week 3
Lesson one and two
Fractions
A fraction is a part of a whole.
The whole is always cut or divided into equal parts.
Names and parts of a fraction.
 Numerator top number
 Denominator bottom number.
 A whole number.
Activity
Ref:
 Primary MTC Bk 3.
 Primary School Math Bk 3.
Types of fractions
Proper fractions: – These are fractions that have their top number smaller that the bottom number.
e.g.,,,
Improper fractions
These are fractions that have top number bigger than the bottom number.
e.g.
, ,
Mixed fractions
These are fractions that have both whole numbers and fractions.
e.g.
2, 3, 4
Activity
Ref: 1. Mk Math book 4 page.
2. National Primary School Curriculum for Uganda.
Lesson three
Writing fractions in words
– A half
– One fifth or a fifth
Writing word fractions in figures
1) Three seventh =
2) Four ninth =
Activity
Ref
Mk math book three pages 94 – 96
Primary School Mathematics Book 3 page 99 – 100
Lesson four and five
Shaded and unshaded fractions
2 of the 4 parts shaded
2 of the 4 parts unshaded
Drawing and shading given fractions
Activity
Ref:
1. Understanding MTC Bk 3 pg 46 – 49.
2. MK Primary Mathematics 2000 Bk 3 page 97 – 98.
Lesson six and seven
Comparing fractions
and
Is greater than .
Which is smaller?
is smaller than an eighths ( )
Activity
Ref:
1. Understanding Mathematics Bk 3 pg 5051.
2. Primary School Mathematics Bk 3 pag 99.
WEEK FOUR
Lesson one and two
Equivalent fractions
These are fractions which give the same number.
Activity
Ref: 1. Understanding MTC Bk 3 pg 54.
2. Primary school MTC Bk 3 Page 101
Lesson three and four
Addition of fractions
+ = = = 1
Activity
Ref:
1. Understanding MTC Bk 3 pg 52.
2. Mk Bk 3 pg 101 – 104
Lesson five and six
Subtraction of fractions
1. – = =
– =
2. 1 –
– = =
Activity
Ref: 1. Understanding MTC Bk 3 pg 53.
2. Primary Mathematics 2000 Bk 3 pg 105 – 108.
Lesson seven and eight
Addition of fractions with different denominators.
+ Rename
^{X 2} =
+ = =
Activity
Ref: Primary School Maths Bk 3 pg 102 – 104
Fountain Primary Mathematics page 68
WEEK FIVE
Lesson one and two
Subtraction of fractions with different denominators.
–
Rename
^{x 2} =
– = =
Activity
Ref:
Primary School Maths Bk 3 pg 102 – 104
Fountain Primary Mathematics page 69
Lesson three and four
Multiplication of fractions

X =  X =
Activity
Ref:
Understanding Maths bk 4 pg
Mk prim. Maths 2000 bk 4 page
Lesson five and six
Multiplication of fractions by whole numbers.
X 4 = = 2
Activity
Ref:
Primary School Mathematics Book 3 Page 105
Mk prim. Maths 2000 bk 4 pg
Lesson seven and eight
Topical questions
THEME EIGHT: KEEPING PEACE IN OUR SUBCOUNTY
WEEK SIX
Lesson one and two
[Telling time
By hours
It is eight o’clock or 8:00.
By a half past
It is a half past eight o’clock or 8:30.
Activity
Ref:
1. Understanding MTC Bk 3 page 74 75
2. Primary MTC Bk 3 pg 127.
Lesson three and four
A quarter past (15 minutes past)
A quarter past ten o’clock or 10:15.
A quarter to (15 minutes to)
A quarter to two o’clock or 2:45.
Activity
Ref:
1. Understanding MTC Bk 3 pg 7475.
2. Primary Mathematics 2000 Bk 3 pg 131 – 135.
Lesson five and six
Changing hours to minutes
Change 4 hours to minutes
1 hr = 60 minutes
4 hours = (4 x 60) minutes
240 minutes
Activity
Ref:
1. JKF Primary Mathematics Bk 3
2. Primary Mathematics Bk 4 pg 162 – 164.
Lesson seven and eight
Changing minutes into hours
Change 180 minutes to hours
1 hour = 60 minutes
? = 180 ÷ 60
18 ÷ 6
3hrs
Activity
Ref:
1. JKF Primary Mathematics Bk 3
2. Primary Mathematics Bk 4 pg 162 – 164.
WEEK SEVEN
Lesson one and two
Addition of time (hours and minutes)
Hrs Mins Hrs Mins
3 24 1 30
+4 32 +3 35
7 56 5 06
Activity
Ref: Understanding maths bk 3 pg 76
MK Prim. Maths 2000 bk 4 pg 168
Lesson three and four
Subtraction of time (hours and minutes)
Hrs Mins Hrs Mins
3 20 6 30 60
1 10 4 45 + 30
2 10 1 45 90
45
45
Activity
Ref: 1. JKF Primary Mathematics Bk 3 pg
2. Primary Mathematics 2000 Bk 4 pg 168.
Lesson five and six
Days of the week
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Months of the year
January
February
March
April
May
June
July
August
September
October
November
December
Changing weeks to days
2 weeks to days
1 wk = 7days
2 wks = 2 x 7
14 days
Activity
Ref:
Understanding Maths bk 3 pg 69 – 70
MK pri. Maths 2000 bk 4 pg
Lesson seven and eight
Changing days to weeks.
35 days to weeks
1 wk = 7days
? = (35 ÷ 7) days
= 5 weeks
Activity
Ref:
Understanding Maths bk 3 pg
MK Pri. Maths 2000 bk 4 pg
WEEK EIGHT
Lesson one and two
Addition of weeks and days
Weeks Day Weeks Day
2 3 4 4 7
+3 2 +1 3 0
5 5 6 0
Subtraction of weeks and days
Weeks Days Weeks Days
5 4 5 1 7 + 1 = 8
3 1 1 6 6
2 3 3 2 2
Activity
Ref: 1. JKF Primary Maths Bk 3 pg
2. Primary Maths 2000 Bk 4 pg 180 – 182.
Lesson three and four
Adding and subtracting years and months
Years Months
4 8
+ 2 4
7 0
Ref: 1. JKF Primary Maths Bk 3 pg
2. Primary Maths 2000 Bk 4 pg 180 – 182.
Lesson five and six
Duration
How long an activity takes or the time taken to do an activity.
A race started at 9:30, and ended at 9:32. How many minutes did the race take?
Hrs Mins
9 32
9 30
0 02
The race took 2 minutes.
Ref: 1. Understanding MTC Bk 3 page 76.
Lesson seven and eight
Topical questions
WEEK NINE
THEME NINE; CULTURE AND GENDER
Lesson one and two
Graphs
Pictographs
Using pictures to show information.
Stands for 10 books.
1 book stands for 10 books.
How many books did Moses get?
Moses got (3 x 10) books = 30 books.
OR 10 + 10 + 10 = 30 books
Activity
Ref: 1. Understanding Mathematics Bk 3 pg 56 – 57.
2. Primary Mathematics 2000 pg 110 – 112 bk 3.
Lesson three and four
Column graphs
Information can also be represented in block form. We count spaces upwards to get the answer.
Mugerwa scored the following marks at the end of term.
Activity
Ref: 1. Understanding MTC Bk 3 pg 58 – 59.
2. Primary Mathematics 2000 pg 113 – 115
Lesson five and six
Circle graph or pie chart
The pie chart below shows the marks Suzan scored in her midterm exams.
ENG SST
SC. MTC
1. Which subject did she perform best?
2. Which was her worst performance?
Activity
Ref:
Primary Mathematics for Uganda Bk 4 pg 5859
MK Prim. Math Bk 4 pg 113115.
Lesson seven and eight
Recording information
Teacher will give learners information which they will record and tally.
WEEK TEN
THEME TEN: OUR HEALTH
Lesson one and two
Measures
MONEY
Background of money and the meaning.
Things that were used long ago e.g. cowrie shells, rupees.
Types of money used in Uganda today coins and notes.
Features
500 shilling coin
100 shilling coin
200 shilling coin
500 shilling coin
1000 shilling note
2000 shilling note
5000 shilling note
` 10,000 shilling note
20,000 shilling note
50,000 shilling note
Activity
Write down two features found on each coin and notes used in Uganda.
Lesson three and four
Conversion of units
Changing money from bigger denomination to smaller denomination
e.g
1. How many 100 shilling coins are in 500 shillings?
5×100 = 500
000
There are 5 one hundred shilling coins in 500 /=.
How much money do you get from 6 coins of 200/=
1 coin = 200/=
6 coins = 200
X 6
1200/=
How many five hundred shilling coin can be got from 2000/=
2000 ÷ 500
20 ÷ 5
4
There are four 500 coins in 2000/=
Activity
Ref
Mk Maths book 4 page
Fountain Primary Mathematics Book 4 page 130 131
Lesson five and six
Addition of money
Sh. 100 + sh 300
Sh 100 or 100 shillings
+sh 300 + 300 shillings
Sh 400 400 shillings
Word sums
One thousand shillings plus one thousand three hundred seventy
Sh 1000 or 1000 shillings
+ sh 1370 + 1370 shillings
Sh 2370 2370 shillings
Activity
Mk Math book 3 page 177 – 178
Fountain Primary Mathematics Book 4 page 132 13
Lesson seven and eight
Subtraction of money
Sh. 880 – sh. 490
Sh. 880 or 880 shillings
 Sh. 490 – 490 shillings
Sh. 390 390 shillings
Word sums
How much change will she get from one thousand shillings if one spent three hundred seventy shillings?
1000
– 370
230
Activity
Mk Maths book 3 page 179 – 180
Fountain Primary Mathematics Book 4 page 134 135
WEEK ELEVEN
Lesson one and two
Multiplication of money
One book costs sh. 100. How much money will Angella pay for two books?
1 book coast sh. 100
2 books will cost sh. 100
x 2
200
An orange costs shs. 500. How much money will 3 oranges cost?
1 orange costs shs 500
3 oranges will cost sh. 500 x 3
Sh. 1500
Activity
Mk Maths book 3 page 184 – 186
Fountain Primary Mathematics Book 4 page 135 136
Lesson three and four
Division of money
Mr. Kasule had sh. 800. He shared it equally between his two pupils. How much did each pupil get?
2 children shared 800/=
1 child gets 800 ÷ 2
4 x 2 = 8
0 0
0 x 2 = 0
0 0
0 x 2 = 0
0
Each child get 400/=
Activity
Mk Maths book 3 page 187
Fountain Primary Mathematics Book 4 page 137
Lesson five and six
SHOPPING
Shopping list
Sugar 1200/= flour 800/=
Rice 800/= Bread 700/=
Soap 700/= Salt 300/=
Milk 500/= A pkt of leaves 500/=
How much money will Mrs. Iga pay if she buys a pkt of milk, a pkt of tea leaves and 1kg of sugar.
A pkt of milk costs sh. 600
A pkt of tea leaves costs sh. 500
1 kg of sugar costs + sh. 1200
She paid sh. 2200
Kapere has sh. 1800. He buys a kg of sugar and a pkt of salt from Mr. Dramadri’s shop.
a) How much money will he pay for;
1kg sugar costs shs 1200
1 kg of salt costs sh +300
He will pay sh 1500
b) How much does he remain with?
He had sh. 1800
He paid – sh 1500
He remains with sh. 300
Namukisa buys 4 oranges and 2 pineapples. How much money will she pay?
4 oranges cost 4 x 250 = sh 1000
2 pineapples cost sh 2 x 400 = +sh 800
Namukisa paid sh 1800
Activity
Ref: 1. Primary school MTC Bk 3 page 62 63
2. MK Primary MTC Bk 3 page 184
3. Primary Mathematics for Uganda Bk 3
4. JKF Pr Maths BK 3.
5. Understanding MTC bk 3 67 – 68