Numbers

Whole Numbers - Place value of digits up to hundreds of millions

By the end of the lesson, the learner should be able to:

- Define place value of digits up to hundreds of millions
- Use place value charts to determine place value of digits
- Show interest in learning place value concepts

- Discuss and identify place value of digits using place value apparatus
- Fill in numbers in place value charts
- Work in groups to determine place value of digits in different numbers

Why do we need to understand place value of digits?

- Smart Minds Mathematics Learner's Book pg. 4
- Place value charts
- Number cards

- Oral questions - Observation - Written exercises

Numbers

Whole Numbers - Place value of digits in hundreds of millions
Whole Numbers - Total value of digits up to hundreds of millions
Whole Numbers - Working out total value of digits
Whole Numbers - Reading and writing numbers in symbols up to hundreds of millions

By the end of the lesson, the learner should be able to:

- State the place value of any digit in numbers up to hundreds of millions
- Draw an abacus to show place value of digits
- Appreciate the use of place value in real life

- Use abacus to work out place value of digits
- Practice identifying place value in numbers involving hundreds of millions
- Share work with other learners in class

What is the place value of a digit in a given number?

- Smart Minds Mathematics Learner's Book pg. 5
- Abacus
- Place value charts
- Smart Minds Mathematics Learner's Book pg. 6
- Number cards
- Smart Minds Mathematics Learner's Book pg. 7
- Digital devices
- Smart Minds Mathematics Learner's Book pg. 8
- Number charts

- Written assignments - Oral questions - Class activities

Numbers

Whole Numbers - Converting words to symbols up to millions
Whole Numbers - Reading and writing numbers in words up to millions
Whole Numbers - Writing numbers in words on cheques
Whole Numbers - Writing numbers in words up to millions

By the end of the lesson, the learner should be able to:

- Describe the process of converting numbers from words to symbols
- Write numbers involving millions correctly in symbols
- Appreciate the importance of writing numbers in symbols

- Read and interpret number statements
- Write numbers such as tree seedlings planted in symbols
- Practice converting word problems to numerical symbols

Where do we write numbers in symbols?

- Smart Minds Mathematics Learner's Book pg. 9
- Number cards
- Charts
- Smart Minds Mathematics Learner's Book pg. 10
- Place value charts
- Smart Minds Mathematics Learner's Book pg. 11
- Dummy cheques
- Number cards
- Smart Minds Mathematics Learner's Book pg. 12

- Written assignments - Class activities - Oral questions

Numbers

Whole Numbers - Practice reading and writing numbers
Whole Numbers - Rounding off to the nearest ten millions

By the end of the lesson, the learner should be able to:

- Identify situations where numbers are written in words
- Read and write various numbers in words correctly
- Appreciate the use of numbers in daily activities

- Read numbers like 268,197 and write in words
- Write numbers from health campaigns and milk companies in words
- Find areas where numbers are written in both symbols and words

Where are numbers written in words in real life?

- Smart Minds Mathematics Learner's Book pg. 13
- Number cards
- Digital devices
- Smart Minds Mathematics Learner's Book pg. 15
- Place value charts

- Written assignments - Oral questions - Observation

Numbers

Whole Numbers - Rounding off to the nearest hundreds of millions

By the end of the lesson, the learner should be able to:

- Identify the digit to consider when rounding off to hundreds of millions
- Round off numbers to the nearest hundreds of millions
- Value accuracy in rounding off numbers

- Read stories involving large numbers like supermarket sales
- Consider digit in tens of millions place value
- Apply rules: retain if 0-4, increase by 1 if 5-9

How do we round off to the nearest hundred million?

- Smart Minds Mathematics Learner's Book pg. 14
- Number cards
- Place value charts

- Written assignments - Class activities - Oral questions

Numbers

Whole Numbers - Practice rounding off numbers
Whole Numbers - Identifying even numbers

By the end of the lesson, the learner should be able to:

- Explain the application of rounding off in estimation
- Solve real life problems involving rounding off
- Appreciate the use of rounding off in estimations

- Round off tax amounts and farm areas
- Work out rounding off exercises like 219,486,272 to nearest hundred million
- Apply rounding off in real contexts

Where do we apply rounding off in daily life?

- Smart Minds Mathematics Learner's Book pg. 16
- Number cards
- Calculators
- Smart Minds Mathematics Learner's Book pg. 17
- Charts

- Written exercises - Oral questions - Class activities

Numbers

Whole Numbers - Identifying odd numbers
Whole Numbers - Identifying prime numbers

By the end of the lesson, the learner should be able to:

- Define odd numbers
- Identify odd numbers from a set of numbers
- Appreciate the difference between even and odd numbers

- Make number cards and sort those not divisible by two
- Identify digits in ones place (1, 3, 5, 7, 9)
- Classify numbers from production data as odd or even

What are odd numbers?

- Smart Minds Mathematics Learner's Book pg. 18
- Number cards
- Charts
- Smart Minds Mathematics Learner's Book pg. 19

- Written assignments - Oral questions - Class activities

Numbers

Whole Numbers - Adding whole numbers up to hundreds of millions
Whole Numbers - Subtracting whole numbers up to hundreds of millions

By the end of the lesson, the learner should be able to:

- Describe the process of adding large numbers
- Add whole numbers up to hundreds of millions using place value charts
- Show confidence in adding large numbers

- Make number cards and form 9-digit numbers
- Add two 9-digit numbers using place value charts
- Solve addition problems like company sales

How do we add large numbers?

- Smart Minds Mathematics Learner's Book pg. 20
- Place value charts
- Number cards
- Smart Minds Mathematics Learner's Book pg. 21

- Written exercises - Class activities - Oral questions

Numbers

Whole Numbers - Multiplying whole numbers
Whole Numbers - Dividing whole numbers

By the end of the lesson, the learner should be able to:

- Describe the long multiplication method
- Multiply whole numbers systematically
- Enjoy solving multiplication problems

- Make number wheel and spin to multiply
- Arrange numbers vertically and multiply by ones, tens, hundreds
- Solve problems like worker salaries

How do we multiply large numbers?

- Smart Minds Mathematics Learner's Book pg. 22
- Number wheel
- Calculators
- Smart Minds Mathematics Learner's Book pg. 23
- Number cards

- Written exercises - Class activities - Observation

Numbers

Whole Numbers - Working out combined operations (DMAS)
Whole Numbers - Applying combined operations in real life

By the end of the lesson, the learner should be able to:

- State the DMAS rule for combined operations
- Work out expressions with multiple operations
- Show interest in solving combined operations

- Make cards with combined operations expressions
- Discuss order: Division, Multiplication, Addition, Subtraction
- Work out expressions like 260-255+340-105

What is the order of operations in DMAS?

- Smart Minds Mathematics Learner's Book pg. 24
- Number cards
- Charts
- Smart Minds Mathematics Learner's Book pg. 25
- Calculators

- Written exercises - Oral questions - Class activities

Numbers

Whole Numbers - Identifying number sequences
Whole Numbers - Creating number sequences

By the end of the lesson, the learner should be able to:

- Define a number sequence
- Identify patterns in number sequences
- Show curiosity in number patterns

- Make number cards (2, 4, 8, 16, 32)
- Identify the rule creating the sequence
- Find next numbers in sequences like prime numbers

What is a number sequence?

- Smart Minds Mathematics Learner's Book pg. 25
- Number cards
- Charts
- Smart Minds Mathematics Learner's Book pg. 26
- Digital devices

- Oral questions - Written exercises - Observation

Numbers

Factors - Divisibility test for 2
Factors - Divisibility test for 3
Factors - Divisibility test for 4
Factors - Divisibility tests for 5 and 6

By the end of the lesson, the learner should be able to:

- State the divisibility rule for 2
- Test divisibility of numbers by 2
- Show interest in divisibility tests

- Make number cards with various numbers
- Identify numbers ending with even numbers or zero
- Determine which numbers are divisible by 2

How do we test if a number is divisible by 2?

- Smart Minds Mathematics Learner's Book pg. 27
- Number cards
- Divisibility worksheets
- Smart Minds Mathematics Learner's Book pg. 28
- Worksheets
- Smart Minds Mathematics Learner's Book pg. 29
- Charts
- Smart Minds Mathematics Learner's Book pg. 30
- Divisibility charts

- Oral questions - Written exercises - Observation

Numbers

Factors - Divisibility tests for 8, 9, 10 and 11
Factors - Prime factors of composite numbers
Factors - GCD and LCM of numbers

By the end of the lesson, the learner should be able to:

- State divisibility rules for 8, 9, 10 and 11
- Test divisibility of numbers by 8, 9, 10 and 11
- Appreciate the use of divisibility tests

- Check if last 3 digits divisible by 8
- Add digits and check divisibility by 9
- Check if number ends in 0 for 10
- Find difference of alternate digit sums for 11

How do we test divisibility by 8, 9, 10 and 11?

- Smart Minds Mathematics Learner's Book pg. 32
- Number cards
- Divisibility charts
- Smart Minds Mathematics Learner's Book pg. 36
- Factor rainbow diagrams
- Factor trees
- Smart Minds Mathematics Learner's Book pg. 37
- Factor charts
- Number cards

- Written exercises - Oral questions - Class activities

Numbers

Fractions - Comparing fractions
Fractions - Arranging fractions in order
Fractions - Adding fractions
Fractions - Subtracting fractions

By the end of the lesson, the learner should be able to:

- Explain strategies for comparing fractions
- Compare fractions using different methods
- Show interest in comparing fractions

- Discuss strategies for comparing fractions
- Use fraction cards to arrange fractions
- Practice arranging fractions in increasing order

How do we compare fractions?

- Smart Minds Mathematics Learner's Book pg. 36
- Fraction cards
- Fraction charts
- Cut outs
- Fraction cut outs
- Concrete objects

- Oral questions - Written exercises - Observation

Numbers

Fractions - Multiplying fractions by whole numbers and fractions
Fractions - Multiplying mixed numbers
Fractions - Reciprocals and dividing fractions
Fractions - Dividing whole numbers by fractions and mixed fractions

By the end of the lesson, the learner should be able to:

- Describe the process of multiplying fractions
- Multiply fractions by whole numbers and fractions
- Show interest in multiplying fractions

- Use fraction cards and models to multiply
- Convert whole numbers to fractions
- Multiply numerators and denominators

How do we multiply fractions?

- Smart Minds Mathematics Learner's Book pg. 36
- Fraction cards
- Charts
- Fraction cut outs
- Models
- Flip cards
- Fraction cards
- IT devices

- Written exercises - Oral questions - Observation

Numbers

Fractions - Creating fraction sequences
Decimals - Place value of digits in decimals
Decimals - Total value of digits in decimals

By the end of the lesson, the learner should be able to:

- Identify patterns in fraction sequences
- Create fraction sequences using different rules
- Enjoy creating fraction puzzles

- Identify patterns in fraction sequences
- Create fraction sequences using different rules
- Play games creating number puzzles with fractions using IT devices

How do we identify and create fraction sequences?

- Smart Minds Mathematics Learner's Book pg. 36
- Fraction cards
- Digital devices
- Smart Minds Mathematics Learner's Book pg. 56
- Place value charts
- Measuring instruments
- Smart Minds Mathematics Learner's Book pg. 59
- Abacus
- Place value charts

- Class activities - Written exercises - Observation

Numbers

Decimals - Multiplying decimals by whole numbers
Decimals - Multiplying decimals by decimals
Decimals - Dividing decimals by whole numbers
Decimals - Dividing decimals by decimals

By the end of the lesson, the learner should be able to:

- Explain the effect of multiplying decimals by 10 and 100
- Multiply decimals by whole numbers
- Show confidence in multiplying decimals

- Observe that multiplying by 10 moves decimal point 1 place right
- Observe that multiplying by 100 moves decimal point 2 places right
- Solve problems like mass of logs and metallic rods

How do we multiply decimals by whole numbers?

- Smart Minds Mathematics Learner's Book pg. 60
- Number cards
- Calculators
- Smart Minds Mathematics Learner's Book pg. 61
- Square diagrams
- Smart Minds Mathematics Learner's Book pg. 62
- Smart Minds Mathematics Learner's Book pg. 63
- Conversion tables

- Written exercises - Oral questions - Observation

Numbers

Squares and Square Roots - Squares of whole numbers
Squares and Square Roots - Squares of fractions
Squares and Square Roots - Squares of decimals
Squares and Square Roots - Square roots of whole numbers and fractions

By the end of the lesson, the learner should be able to:

- Define the square of a number
- Determine squares of whole numbers by multiplication
- Show interest in finding squares of numbers

- Draw square grids to find squares of numbers
- Calculate area of square flowerbeds
- Use long multiplication to find squares

How do we find the square of a whole number?

- Smart Minds Mathematics Learner's Book pg. 64
- Square grids
- Calculators
- Smart Minds Mathematics Learner's Book pg. 65
- Fraction charts
- Number cards
- Smart Minds Mathematics Learner's Book pg. 66
- Square cut-outs
- Smart Minds Mathematics Learner's Book pg. 68
- Factor trees

- Oral questions - Written exercises - Observation

Numbers
Algebra
Algebra
Algebra

Squares and Square Roots - Square roots of decimals
Algebraic Expressions - Forming expressions involving addition and subtraction
Algebraic Expressions - Forming expressions involving multiplication and division
Algebraic Expressions - Simplifying expressions involving addition and subtraction

By the end of the lesson, the learner should be able to:

- Describe the process of finding square roots of decimals
- Determine square roots of decimals
- Appreciate the application of square roots in real life

- Convert decimals to fractions
- Find square root of the fraction
- Solve problems involving area of square gardens and tables

How do we find the square root of a decimal?

- Smart Minds Mathematics Learner's Book pg. 70
- Number cards
- Calculators
- Smart Minds Mathematics Learner's Book pg. 72
- Real objects (oranges, pencils)
- Number cards
- Smart Minds Mathematics Learner's Book pg. 73
- Pencils, sharpeners
- Price tags
- Smart Minds Mathematics Learner's Book pg. 74
- Shopping items
- Price lists

- Written exercises - Oral questions - Class activities

Algebra

Algebraic Expressions - Simplifying expressions involving multiplication and division
Algebraic Expressions - Application of simplifying expressions
Linear Equations - Forming equations involving addition and subtraction

By the end of the lesson, the learner should be able to:

- Explain how to remove brackets in algebraic expressions
- Simplify algebraic expressions involving brackets
- Value accuracy in simplifying expressions

- Make number cards with expressions like 5(x+4)+8(x+5)
- Remove brackets by multiplying number outside with terms inside
- Group like terms and simplify

How do we simplify expressions with brackets?

- Smart Minds Mathematics Learner's Book pg. 75
- Number cards
- Charts
- Smart Minds Mathematics Learner's Book pg. 76
- Geometric shapes
- Digital devices
- Smart Minds Mathematics Learner's Book pg. 77
- Beam balance
- Masses (weights)

- Written assignments - Class activities - Oral questions

Algebra

Linear Equations - Forming equations from word problems
Linear Equations - Forming equations involving multiplication and division
Linear Equations - Solving equations involving addition and subtraction

By the end of the lesson, the learner should be able to:

- Interpret word problems to form equations
- Form linear equations from real life situations
- Appreciate the use of equations in solving problems

- Form equations from stories about money, oranges, bananas and eggs
- Write equations like y + 3 = 11 for Juma's oranges
- Practice forming equations from various contexts

How do we form equations from word problems?

- Smart Minds Mathematics Learner's Book pg. 78
- Word problem cards
- Number cards
- Smart Minds Mathematics Learner's Book pg. 79
- Number cards
- Rectangle diagrams
- Smart Minds Mathematics Learner's Book pg. 80
- Charts

- Written assignments - Class activities - Oral questions

Algebra

Linear Equations - Solving equations involving multiplication and division
Linear Equations - Application of linear equations

By the end of the lesson, the learner should be able to:

- Explain how to solve equations with brackets
- Solve linear equations involving multiplication and division
- Appreciate the application of equations in real life

- Read story of Grace giving a third of her pencils to friends
- Open brackets and collect like terms
- Divide both sides by coefficient of unknown

How do we solve equations with brackets?

- Smart Minds Mathematics Learner's Book pg. 80
- Word problem cards
- Calculators
- Smart Minds Mathematics Learner's Book pg. 81
- Triangle diagrams
- Digital devices

- Written exercises - Oral questions - Observation

Algebra

Linear Inequalities - Inequality symbols
Linear Inequalities - Applying inequality symbols to statements

By the end of the lesson, the learner should be able to:

- Identify inequality symbols (<, >, ≤, ≥)
- Use inequality symbols to compare quantities
- Show interest in using inequality symbols

- Use see-saw to compare masses of learners
- Write Mary's mass > John's mass or John's mass < Mary's mass
- Fill spaces with correct inequality symbols

What are inequality symbols?

- Smart Minds Mathematics Learner's Book pg. 81
- See-saw
- Inequality cards
- Smart Minds Mathematics Learner's Book pg. 82
- Inequality cards
- Charts

- Oral questions - Written exercises - Observation

Algebra

Linear Inequalities - Forming inequalities involving addition and subtraction
Linear Inequalities - Forming inequalities involving multiplication and division

By the end of the lesson, the learner should be able to:

- Define a linear inequality
- Form simple linear inequalities involving addition and subtraction
- Show confidence in forming inequalities

- Use beam balance with 5 kg on one side and 3 kg + sand on other side
- Let mass of sand be b kg and form inequality
- Form inequalities from stories about buses, oranges and goats

How do we form linear inequalities?

- Smart Minds Mathematics Learner's Book pg. 84
- Beam balance
- Masses
- Smart Minds Mathematics Learner's Book pg. 85
- Word problem cards
- Number cards

- Written exercises - Oral questions - Observation

Algebra

Linear Inequalities - Illustrating simple inequalities on a number line
Linear Inequalities - Forming compound inequalities

By the end of the lesson, the learner should be able to:

- Describe how to represent inequalities on a number line
- Illustrate simple inequalities using open and closed points
- Show interest in representing inequalities graphically

- Study number lines and list numbers greater than, less than, or equal to 5
- Use open point (○) when number is not included
- Use closed point (●) when number is included

How do we represent inequalities on a number line?

- Smart Minds Mathematics Learner's Book pg. 86
- Number lines
- Inequality cards
- Smart Minds Mathematics Learner's Book pg. 87
- Inequality cards
- Charts

- Written exercises - Oral questions - Observation

Algebra

Linear Inequalities - Illustrating compound inequalities on a number line
Linear Inequalities - Application of compound inequalities

By the end of the lesson, the learner should be able to:

- Explain how to illustrate compound inequalities
- Illustrate compound inequalities on a number line
- Show confidence in representing compound inequalities

- Make inequality cards with compound inequalities
- Illustrate 3 < x ≤ 7 showing x greater than 3 and less than or equal to 7
- Use open and closed points appropriately

How do we illustrate compound inequalities on a number line?

- Smart Minds Mathematics Learner's Book pg. 88
- Number lines
- Inequality cards
- Word problem cards
- Digital devices

- Written exercises - Oral questions - Observation

Measurements

Pythagorean Relationship - Sides of a right-angled triangle
Pythagorean Relationship - Establishing the relationship
Pythagorean Relationship - Finding unknown sides
Pythagorean Relationship - Real life applications

By the end of the lesson, the learner should be able to:

- Identify the sides of a right-angled triangle
- Name the base, height and hypotenuse of a right-angled triangle
- Show interest in learning about right-angled triangles

- Read story of Linda and Methuselah using a ladder to climb a fruit tree
- Draw figure formed between tree, ladder and ground
- Identify the longest side (hypotenuse) and two shorter sides (base and height)

What are the sides of a right-angled triangle?

- Smart Minds Mathematics Learner's Book pg. 89
- Ladders
- Right-angled triangle models
- Smart Minds Mathematics Learner's Book pg. 91
- Square grids
- Rulers and pencils
- Smart Minds Mathematics Learner's Book pg. 92
- Calculators
- Triangle diagrams
- Smart Minds Mathematics Learner's Book pg. 93
- Puzzles
- Digital devices

- Oral questions - Written exercises - Observation

Measurements

Length - Converting units of length
Length - Addition involving length
Length - Subtraction involving length

By the end of the lesson, the learner should be able to:

- Identify units of length (cm, dm, m, Dm, Hm)
- Convert units of length from one form to another
- Show interest in converting units of length

- Study Washika going up stairs labelled cm, dm, m, Dm, Hm
- Note that each step is 10 times the previous
- Generate conversion tables: 1 Hm = 10 Dm = 100 m = 1000 dm = 10000 cm

Why do we convert units of length?

- Smart Minds Mathematics Learner's Book pg. 94
- Conversion charts
- Metre rulers
- Smart Minds Mathematics Learner's Book pg. 96
- Maps
- Number cards
- Smart Minds Mathematics Learner's Book pg. 98
- Number cards
- Charts

- Oral questions - Written exercises - Observation

Measurements

Length - Multiplication involving length
Length - Division involving length
Length - Perimeter and circumference of circles
Area - Square metres, acres and hectares

By the end of the lesson, the learner should be able to:

- Explain how to multiply lengths by whole numbers
- Multiply lengths involving Hm, Dm, m, dm and cm
- Value accuracy in multiplication of lengths

- Read story of Natasha fetching water from river twice daily
- Multiply each unit and regroup where necessary
- Solve problems about Jared's daily distance to school

How do we multiply lengths by whole numbers?

- Smart Minds Mathematics Learner's Book pg. 99
- Word problems
- Calculators
- Smart Minds Mathematics Learner's Book pg. 100
- Charts
- Smart Minds Mathematics Learner's Book pg. 101
- Circular objects
- Tape measures
- Smart Minds Mathematics Learner's Book pg. 106
- Metre rulers

- Written assignments - Class activities - Oral questions

Measurements

Area - Area of a rectangle
Area - Area of a parallelogram
Area - Area of a rhombus
Area - Area of a trapezium

By the end of the lesson, the learner should be able to:

- State the formula for area of a rectangle
- Calculate area of rectangles
- Appreciate the use of area in real life

- Trace and cut out rectangles
- Find area by multiplying length and width
- Complete tables with length, width and area of rectangles

How do we find the area of a rectangle?

- Smart Minds Mathematics Learner's Book pg. 108
- Rectangular cut-outs
- Grid papers
- Smart Minds Mathematics Learner's Book pg. 110
- Paper cut-outs
- Scissors
- Smart Minds Mathematics Learner's Book pg. 112
- Square cut-outs
- Smart Minds Mathematics Learner's Book pg. 114
- Rulers

- Written assignments - Class activities - Oral questions

Measurements

Area - Area of circles
Area - Area of borders
Area - Area of combined shapes
Volume and Capacity - The cubic metre (m³)

By the end of the lesson, the learner should be able to:

- Derive the formula for area of a circle
- Calculate area of circles using πr²
- Show interest in finding area of circles

- Draw circle with radius 7 cm and divide into 16 sectors
- Cut and rearrange sectors to form rectangle
- Discover: Length = πr, Width = r, Area = πr²

How do we find the area of a circle?

- Smart Minds Mathematics Learner's Book pg. 116
- Pair of compasses
- Manila paper
- Smart Minds Mathematics Learner's Book pg. 119
- Picture frames
- Diagrams
- Smart Minds Mathematics Learner's Book pg. 121
- Combined shape diagrams
- Calculators
- Smart Minds Mathematics Learner's Book pg. 122
- Metre rule
- Long sticks, strings

- Written assignments - Class activities - Oral questions

Measurements

Volume and Capacity - Converting m³ to cm³
Volume and Capacity - Converting cm³ to m³
Volume and Capacity - Volume of cubes

By the end of the lesson, the learner should be able to:

- State the relationship between m³ and cm³
- Convert cubic metres to cubic centimetres
- Appreciate the use of volume conversions

- Use the 1 metre cube made in previous lesson
- Calculate volume in m³ (1×1×1) and in cm³ (100×100×100)
- Establish: 1 m³ = 1,000,000 cm³

How do we convert cubic metres to cubic centimetres?

- Smart Minds Mathematics Learner's Book pg. 123
- 1 metre cube model
- Calculators
- Smart Minds Mathematics Learner's Book pg. 124
- Number cards
- Smart Minds Mathematics Learner's Book pg. 125
- Clay, plasticine
- Manila paper

- Written assignments - Class activities - Oral questions

Measurements

Volume and Capacity - Volume of cuboids
Volume and Capacity - Volume of cylinders
Volume and Capacity - Relating volume to capacity
Volume and Capacity - Application of volume and capacity

By the end of the lesson, the learner should be able to:

- State the formula for volume of a cuboid
- Calculate volume of cuboids
- Appreciate the use of volume in real life

- Draw cuboid and shade one face (cross-sectional area)
- Establish: Volume = Length × Width × Height
- Model cuboids using locally available materials

How do we find the volume of a cuboid?

- Smart Minds Mathematics Learner's Book pg. 126
- Clay, cartons
- Rulers
- Smart Minds Mathematics Learner's Book pg. 128
- Coins, cylindrical objects
- Smart Minds Mathematics Learner's Book pg. 130
- Containers, basin
- Measuring cylinder
- Smart Minds Mathematics Learner's Book pg. 132
- Various containers
- Digital devices

- Written exercises - Oral questions - Observation

Measurements

Time, Distance and Speed - Units of measuring time
Time, Distance and Speed - Converting hours and minutes
Time, Distance and Speed - Converting minutes and seconds
Time, Distance and Speed - Converting hours and seconds

By the end of the lesson, the learner should be able to:

- Identify units of measuring time
- Read time from clock faces and stopwatches
- Show interest in reading time

- Observe clock face with hour, minute and second hands
- Read time shown on stopwatches (hours, minutes, seconds)
- Draw clock faces showing different times

How do we read time from a clock face?

- Smart Minds Mathematics Learner's Book pg. 134
- Clock faces
- Stopwatches
- Smart Minds Mathematics Learner's Book pg. 136
- Paper clock faces
- Smart Minds Mathematics Learner's Book pg. 138
- Stopwatches
- Number cards
- Smart Minds Mathematics Learner's Book pg. 140
- Calculators
- Conversion charts

- Oral questions - Practical activities - Observation

Measurements

Time, Distance and Speed - Converting units of distance
Time, Distance and Speed - Speed in km/h
Time, Distance and Speed - Speed in m/s
Time, Distance and Speed - Converting km/h to m/s and vice versa

By the end of the lesson, the learner should be able to:

- State the relationship between kilometres and metres
- Convert kilometres to metres and metres to kilometres
- Appreciate the use of distance conversions

- Estimate distances to nearby places in kilometres
- Convert estimated distances to metres
- Establish: 1 km = 1,000 m

How do we convert kilometres to metres?

- Smart Minds Mathematics Learner's Book pg. 142
- Maps
- Measuring tapes
- Smart Minds Mathematics Learner's Book pg. 144
- Athletics field
- Stopwatches
- Smart Minds Mathematics Learner's Book pg. 145
- Measuring tape
- Smart Minds Mathematics Learner's Book pg. 146
- Conversion charts
- Digital devices

- Written exercises - Oral questions - Observation

Measurements

Temperature - Temperature in our environment
Temperature - Comparing temperature
Temperature - Units of measuring temperature

By the end of the lesson, the learner should be able to:

- Define temperature as degree of hotness or coldness
- Describe temperature conditions as warm, hot or cold
- Show interest in learning about temperature

- Take walk outside classroom and observe temperature
- Discuss temperature conditions as warm, hot or cold
- Record temperature changes at different times of day

What is temperature?

- Smart Minds Mathematics Learner's Book pg. 149
- Thermometers
- Charts
- Smart Minds Mathematics Learner's Book pg. 150
- Ice cubes
- Metallic and wooden objects
- Smart Minds Mathematics Learner's Book pg. 151
- Sufuria, water

- Oral questions - Written exercises - Observation

Measurements

Temperature - Converting °C to Kelvin
Temperature - Converting Kelvin to °C
Temperature - Temperature changes
Money - Profit

By the end of the lesson, the learner should be able to:

- State the relationship between °C and Kelvin
- Convert temperature from degrees Celsius to Kelvin
- Value accuracy in temperature conversions

- Measure water temperature before heating and at boiling point
- Compare readings in °C and Kelvin
- Establish: Kelvin = °C + 273

How do we convert degrees Celsius to Kelvin?

- Smart Minds Mathematics Learner's Book pg. 153
- Thermometers
- Calculators
- Smart Minds Mathematics Learner's Book pg. 154
- Temperature tables
- Smart Minds Mathematics Learner's Book pg. 155
- Digital devices
- Smart Minds Mathematics Learner's Book pg. 157
- Classroom shop
- Paper money

- Written assignments - Class activities - Oral questions

Measurements

Money - Loss
Money - Percentage profit
Money - Percentage loss
Money - Discount

By the end of the lesson, the learner should be able to:

- Define loss in business transactions
- Calculate loss given buying and selling prices
- Appreciate the importance of avoiding loss in business

- Compare buying price and selling price in tables
- Identify when selling price is lower than buying price
- Establish: Loss = Buying price - Selling price

What is loss in business?

- Smart Minds Mathematics Learner's Book pg. 159
- Price tables
- Charts
- Smart Minds Mathematics Learner's Book pg. 160
- Tables
- Calculators
- Smart Minds Mathematics Learner's Book pg. 162
- Smart Minds Mathematics Learner's Book pg. 164
- Price tags

- Written assignments - Class activities - Oral questions

Measurements

Money - Percentage discount
Money - Commission and percentage commission
Money - Interpreting bills

By the end of the lesson, the learner should be able to:

- Define percentage discount
- Calculate percentage discount
- Show interest in calculating discounts

- Complete tables with marked price, selling price and discount
- Work out percentage discount = (Discount ÷ Marked price) × 100%
- Solve problems about motorcycles, cars and blankets

How do we calculate percentage discount?

- Smart Minds Mathematics Learner's Book pg. 166
- Tables
- Calculators
- Smart Minds Mathematics Learner's Book pg. 167
- Commission tables
- Smart Minds Mathematics Learner's Book pg. 171
- Sample bills
- Digital devices

- Written assignments - Class activities - Oral questions

Measurements

Money - Preparing bills
Money - Postal charges

By the end of the lesson, the learner should be able to:

- Explain the use of symbols @ and 'for' in bills
- Prepare bills for items purchased
- Show confidence in preparing bills

- Read story of Gillian buying items from kiosk
- Prepare bill showing items, quantities and prices
- Calculate total cost and balance

How do we prepare a bill?

- Smart Minds Mathematics Learner's Book pg. 172
- Bill formats
- Paper money
- Smart Minds Mathematics Learner's Book pg. 173
- Postal charge tables
- Charts

- Written exercises - Oral questions - Observation

Measurements
Geometry

Money - Mobile money services
Money - Mobile money transactions
Angles - Angles on a straight line

By the end of the lesson, the learner should be able to:

- Identify mobile money services (deposit, withdraw, transfer, save, borrow)
- Explain the importance of mobile money services
- Value the convenience of mobile money

- Read story of Mr Mamboleo using mobile money in his shop
- Identify services: pay bill, transfer, save, withdraw, borrow
- Complete word puzzle circling mobile money services

What are mobile money services?

- Smart Minds Mathematics Learner's Book pg. 178
- Word puzzles
- Charts
- Smart Minds Mathematics Learner's Book pg. 179
- Transaction tables
- Calculators
- Smart Minds Mathematics Learner's Book pg. 184
- Protractors
- Rulers

- Written exercises - Oral questions - Observation

Geometry

Angles - Angles at a point
Angles - Vertically opposite angles
Angles - Alternate angles on a transversal
Angles - Corresponding angles on a transversal

By the end of the lesson, the learner should be able to:

- Identify angles formed at a point
- State that angles at a point add up to 360°
- Appreciate the relationship between angles at a point

- Trace and cut out diagram with angles ACB, ACD and BCD
- Use protractor to measure each angle
- Find sum of angles and establish they add up to 360°

What is the sum of angles at a point?

- Smart Minds Mathematics Learner's Book pg. 186
- Protractors
- Paper cut-outs
- Smart Minds Mathematics Learner's Book pg. 187
- Scissors
- Smart Minds Mathematics Learner's Book pg. 188
- Rulers
- Smart Minds Mathematics Learner's Book pg. 190
- Scissors, protractors

- Written assignments - Class activities - Oral questions

Geometry

Angles - Co-interior angles on a transversal
Angles - Angles in a parallelogram
Angles - Interior angles of triangles, rectangles, squares

By the end of the lesson, the learner should be able to:

- Identify co-interior angles on a transversal
- State that co-interior angles add up to 180°
- Appreciate the relationship between co-interior angles

- Draw pair of parallel lines and a transversal
- Mark angles n and p, cut them out
- Place two angles on a straight line and observe they add up to 180°

What is the sum of co-interior angles?

- Smart Minds Mathematics Learner's Book pg. 191
- Rulers
- Scissors, protractors
- Smart Minds Mathematics Learner's Book pg. 193
- Straws, string
- Protractors
- Smart Minds Mathematics Learner's Book pg. 195
- Protractors
- Polygon cut-outs

- Written assignments - Class activities - Oral questions

Geometry

Angles - Interior angles of rhombus, parallelogram, trapezium, pentagon, hexagon
Angles - Exterior angles of polygons
Geometrical Constructions - Measuring angles

By the end of the lesson, the learner should be able to:

- Identify interior angles of various polygons
- Calculate sum of interior angles using formula (n-2) × 180°
- Appreciate the relationship between sides and interior angles

- Trace and cut out rhombus, parallelogram, trapezium
- Measure interior angles and find sums
- Sub-divide pentagon into 3 triangles, hexagon into 4 triangles

How do we calculate sum of interior angles of any polygon?

- Smart Minds Mathematics Learner's Book pg. 197
- Polygon cut-outs
- Protractors
- Smart Minds Mathematics Learner's Book pg. 201
- Smart Minds Mathematics Learner's Book pg. 207
- Protractors
- Rulers

- Written exercises - Oral questions - Observation

Geometry

Geometrical Constructions - Bisecting angles
Geometrical Constructions - Constructing 90° angle
Geometrical Constructions - Constructing 45° angle
Geometrical Constructions - Constructing 60° angle

By the end of the lesson, the learner should be able to:

- Define angle bisector
- Bisect angles using a pair of compasses
- Appreciate the use of bisecting angles

- Trace and draw lines, measure angles ABC, ABD and DBC
- With compasses at point L, mark arcs on lines LK and LM at P and W
- With same radius at P and W, draw arcs to intersect at O, join O to L

What is an angle bisector?

- Smart Minds Mathematics Learner's Book pg. 208
- Pair of compasses
- Rulers
- Smart Minds Mathematics Learner's Book pg. 210
- Rulers, protractors
- Smart Minds Mathematics Learner's Book pg. 211
- Smart Minds Mathematics Learner's Book pg. 213

- Written assignments - Practical activities - Oral questions

Geometry

Geometrical Constructions - Constructing 30° angle
Geometrical Constructions - Constructing 120° angle
Geometrical Constructions - Constructing 105° and 75° angles
Geometrical Constructions - Constructing equilateral triangles

By the end of the lesson, the learner should be able to:

- Construct an angle of 30° by bisecting 60°
- Verify the constructed angle
- Appreciate the relationship between 30° and 60° angles

- Draw straight line, mark point Y
- With Y as centre, make arc at D, with D as centre make arc at F
- Join F to Y (angle FYD = 60°), then bisect to get 30°

How do we construct an angle of 30°?

- Smart Minds Mathematics Learner's Book pg. 214
- Pair of compasses
- Rulers
- Smart Minds Mathematics Learner's Book pg. 215
- Rulers, protractors
- Smart Minds Mathematics Learner's Book pg. 216
- Smart Minds Mathematics Learner's Book pg. 218

- Written assignments - Practical activities - Oral questions

Geometry

Geometrical Constructions - Constructing isosceles triangles

By the end of the lesson, the learner should be able to:

- Construct isosceles triangles given side measurements
- Verify that two sides and two angles are equal
- Show confidence in constructing triangles

- Draw straight line, mark point M, mark point N 5 cm away
- With M as centre and radius 7 cm, draw arc above line
- With N as centre and radius 5 cm, draw arc to intersect at P, join points

How do we construct an isosceles triangle?

- Smart Minds Mathematics Learner's Book pg. 219
- Pair of compasses
- Rulers

- Written assignments - Practical activities - Oral questions

Geometry
Data Handling and Probability

Geometrical Constructions - Constructing scalene triangles
Geometrical Constructions - Constructing circles
Data Handling - Meaning of data and data collection

By the end of the lesson, the learner should be able to:

- Construct scalene triangles given three side measurements
- Verify that all sides and angles are different
- Value accuracy in triangle constructions

- Draw straight line, mark point A, mark point B 6 cm away
- With A as centre and radius 5 cm, draw arc
- With B as centre and radius 8 cm, draw arc to intersect at C, join points

How do we construct a scalene triangle?

- Smart Minds Mathematics Learner's Book pg. 220
- Pair of compasses
- Rulers
- Smart Minds Mathematics Learner's Book pg. 221
- Smart Minds Mathematics Learner's Book pg. 222
- Pieces of paper
- Basket

- Practical exercises - Oral questions - Observation

Data Handling and Probability

Data Handling - Frequency tables
Data Handling - Determining suitable scale
Data Handling - Drawing pictographs
Data Handling - Drawing bar graphs

By the end of the lesson, the learner should be able to:

- Define a frequency table
- Represent data using tally marks and frequency
- Appreciate the use of frequency tables in organizing data

- Ask class teacher to show class register
- Identify number of learners present each day
- Record findings using tally marks in frequency table

How do we represent data in a frequency table?

- Smart Minds Mathematics Learner's Book pg. 223
- Class registers
- Frequency table templates
- Smart Minds Mathematics Learner's Book pg. 225
- Graph papers
- Rulers
- Smart Minds Mathematics Learner's Book pg. 226
- Bloating paper
- Scissors, glue
- Smart Minds Mathematics Learner's Book pg. 228
- Rulers, coloured pencils

- Written assignments - Class activities - Oral questions

Data Handling and Probability

Data Handling - Interpreting information from bar graphs
Data Handling - Drawing pie charts
Data Handling - Interpreting pie charts
Data Handling - Drawing line graphs
Data Handling - Interpreting travel graphs

By the end of the lesson, the learner should be able to:

- Read and interpret information from bar graphs
- Answer questions based on bar graph data
- Show interest in analyzing data from bar graphs

- Study bar graph showing fruits sold by Bahati in five days
- Identify scale used on vertical and horizontal axes
- Answer questions about highest, lowest values and comparisons

How do we interpret information from bar graphs?

- Smart Minds Mathematics Learner's Book pg. 231
- Bar graph samples
- Worksheets
- Smart Minds Mathematics Learner's Book pg. 233
- Pair of compasses
- Protractors
- Smart Minds Mathematics Learner's Book pg. 236
- Pie chart samples
- Calculators
- Smart Minds Mathematics Learner's Book pg. 238
- Graph papers
- Rulers
- Smart Minds Mathematics Learner's Book pg. 240

- Written assignments - Class activities - Oral questions