Numbers

Whole Numbers - Place value of digits up to hundreds of millions
Whole Numbers - Place value of digits in 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
- Smart Minds Mathematics Learner's Book pg. 5
- Abacus
- Place value charts

- Oral questions - Observation - Written exercises

Numbers

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
Whole Numbers - Converting words to symbols up to millions

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

- Define total value of a digit
- Calculate total value of digits in numbers up to hundreds of millions
- Enjoy working out total value of digits

- Make number cards and form 9-digit numbers
- Stick cards on place value charts
- Find total value of each digit by multiplying digit by its place value

How do we find the total value of a digit?

- Smart Minds Mathematics Learner's Book pg. 6
- Number cards
- Place value charts
- Smart Minds Mathematics Learner's Book pg. 7
- Digital devices
- Smart Minds Mathematics Learner's Book pg. 8
- Number charts
- Smart Minds Mathematics Learner's Book pg. 9
- Charts

- Oral questions - Written exercises - Observation

Numbers

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:

- State the rules for writing numbers in words
- Form different 7-digit numbers and read them in words
- Enjoy reading large numbers in words

- Make number cards 1-9
- Form four different 7-digit numbers
- Fill in place value charts and read numbers formed

How do we read large numbers in words?

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

- Oral questions - Observation - Class activities

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

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

- Written assignments - Class activities - Oral questions

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
Factors - Divisibility test for 2

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
- Smart Minds Mathematics Learner's Book pg. 27
- Divisibility worksheets

- Oral questions - Written exercises - Observation

Numbers

Factors - Divisibility test for 3
Factors - Divisibility test for 4
Factors - Divisibility tests for 5 and 6
Factors - Divisibility tests for 8, 9, 10 and 11

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

- State the divisibility rule for 3
- Test divisibility of numbers by 3
- Appreciate patterns in divisibility tests

- Make number cards and add digits in each number
- Check if sum of digits is divisible by 3
- Work out exercises on divisibility by 3

How do we test if a number is divisible by 3?

- Smart Minds Mathematics Learner's Book pg. 28
- Number cards
- Worksheets
- Smart Minds Mathematics Learner's Book pg. 29
- Charts
- Smart Minds Mathematics Learner's Book pg. 30
- Divisibility charts
- Smart Minds Mathematics Learner's Book pg. 32

- Written assignments - Oral questions - Class activities

Numbers

Factors - Prime factors of composite numbers
Factors - GCD and LCM of numbers
Fractions - Comparing fractions
Fractions - Arranging fractions in order

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

- Define prime factors and composite numbers
- Express composite numbers as product of prime factors
- Value the relationship between factors and prime factors

- List factors using factor rainbow
- Use factor tree method to find prime factors
- Express numbers like 56 and 98 as products of prime factors

How do we express numbers as products of prime factors?

- 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
- Fraction cards
- Fraction charts
- Cut outs

- Written assignments - Oral questions - Observation

Numbers

Fractions - Adding fractions
Fractions - Subtracting fractions
Fractions - Multiplying fractions by whole numbers and fractions
Fractions - Multiplying mixed numbers
Fractions - Reciprocals and dividing fractions

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

- State the steps for adding fractions
- Add fractions with different denominators
- Show confidence in adding fractions

- Use cut outs and fraction cards to add fractions
- Find LCM of denominators
- Add numerators and simplify results

How do we add fractions with different denominators?

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

- Written exercises - Oral questions - Observation

Numbers

Fractions - Dividing whole numbers by fractions and mixed fractions
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:

- Explain the process of dividing whole numbers by fractions
- Divide whole numbers by fractions and mixed fractions
- Value the application of division of fractions

- Convert whole numbers to fractions
- Use reciprocals to divide
- Solve problems involving division of mixed fractions

How do we divide whole numbers by fractions?

- Smart Minds Mathematics Learner's Book pg. 36
- Fraction cards
- IT devices
- 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

- Written assignments - Class activities - Oral questions

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
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
Algebraic Expressions - Simplifying expressions involving multiplication and division

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
- Smart Minds Mathematics Learner's Book pg. 75
- Charts

- Written exercises - Oral questions - Class activities

Algebra

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

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

- Identify algebraic expressions in geometric figures
- Simplify expressions to find perimeter and volume
- Appreciate the application of algebraic expressions in geometry

- Find perimeter of triangles with sides as algebraic expressions
- Find volume of figures with dimensions as expressions
- Solve problems involving rectangles with algebraic dimensions

Where do we apply algebraic expressions in real life?

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

- Written exercises - Oral questions - Observation

Algebra

Linear Equations - Solving equations involving addition and subtraction
Linear Equations - Solving equations involving multiplication and division

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

- State the steps for solving linear equations
- Solve linear equations involving addition and subtraction
- Value accuracy in solving equations

- Make number cards with equations like 4x + 2 = 18
- Collect like terms on each side of the equation
- Solve to find the value of the unknown

How do we solve linear equations?

- Smart Minds Mathematics Learner's Book pg. 80
- Number cards
- Charts
- Word problem cards
- Calculators

- Written assignments - Class activities - Oral questions

Algebra

Linear Equations - Application of linear equations
Linear Inequalities - Inequality symbols

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

- Identify real life problems involving linear equations
- Solve problems using linear equations
- Show interest in applying equations to real life

- Solve problems about Mwandawiro's salary and school fees
- Find interior angles of triangles using equations
- Solve problems about Kahuho's bags of maize

Where do we apply linear equations in daily life?

- Smart Minds Mathematics Learner's Book pg. 81
- Triangle diagrams
- Digital devices
- See-saw
- Inequality cards

- Written assignments - Class activities - Oral questions

Algebra

Linear Inequalities - Applying inequality symbols to statements
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:

- Explain the meaning of "at least" and "at most"
- Apply inequality symbols to real life statements
- Appreciate the use of inequalities in daily life

- Read story of Harriet visiting nutritionist about eggs and fruits
- Write: Number of eggs ≤ 2, Number of fruits ≥ 3
- Form inequalities from statements about height and volume

How do we apply inequality symbols to real life situations?

- Smart Minds Mathematics Learner's Book pg. 82
- Inequality cards
- Charts
- 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 assignments - Class activities - Oral questions

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
Length - Multiplication involving length
Length - Division 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
- Smart Minds Mathematics Learner's Book pg. 99
- Word problems
- Calculators
- Smart Minds Mathematics Learner's Book pg. 100

- Oral questions - Written exercises - Observation

Measurements

Length - Perimeter and circumference of circles
Area - Square metres, acres and hectares
Area - Area of a rectangle
Area - Area of a parallelogram

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

- Define perimeter and circumference
- Calculate perimeter of plane figures and circumference of circles
- Appreciate the use of perimeter and circumference in real life

- Measure distance around chalkboard, door and window
- Measure circumference and diameter of circular objects
- Establish relationship: Circumference ÷ Diameter = π (3.14 or 22/7)

How do we find the circumference of a circle?

- Smart Minds Mathematics Learner's Book pg. 101
- Circular objects
- Tape measures
- Smart Minds Mathematics Learner's Book pg. 106
- Metre rulers
- 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

- Written assignments - Class activities - Oral questions

Measurements

Area - Area of a rhombus
Area - Area of a trapezium
Area - Area of circles
Area - Area of borders

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

- Derive the formula for area of a rhombus
- Calculate area of rhombuses
- Value accuracy in calculating area

- Cut out square WXYZ and mark point K on line WX
- Cut triangle WKZ and paste on line XY to form rhombus
- Discover: Area = Base length × Perpendicular height

How do we find the area of a rhombus?

- Smart Minds Mathematics Learner's Book pg. 112
- Square cut-outs
- Scissors
- Smart Minds Mathematics Learner's Book pg. 114
- Paper cut-outs
- Rulers
- Smart Minds Mathematics Learner's Book pg. 116
- Pair of compasses
- Manila paper
- Smart Minds Mathematics Learner's Book pg. 119
- Picture frames
- Diagrams

- Written assignments - Class activities - Oral questions

Measurements

Area - Area of combined shapes
Volume and Capacity - The cubic metre (m³)
Volume and Capacity - Converting m³ to cm³
Volume and Capacity - Converting cm³ to m³

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

- Identify combined shapes
- Calculate area of combined shapes by dividing into simpler shapes
- Appreciate the application of area in real life

- Cut out combined shapes into rectangles, triangles and circles
- Calculate area of each part and add
- Practise with help of parent or guardian at home

How do we find the area of combined shapes?

- 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
- Smart Minds Mathematics Learner's Book pg. 123
- 1 metre cube model
- Smart Minds Mathematics Learner's Book pg. 124
- Number cards

- Written assignments - Class activities - Oral questions

Measurements

Volume and Capacity - Volume of cubes
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 cube
- Calculate volume of cubes
- Value accuracy in calculating volume

- Draw cube and colour one face (cross-sectional area)
- Establish: Volume = Side × Side × Side
- Model cubes using clay, plasticine or manila paper

How do we find the volume of a cube?

- Smart Minds Mathematics Learner's Book pg. 125
- Clay, plasticine
- Manila paper
- 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 assignments - Class activities - Oral questions

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
Temperature - Converting °C to Kelvin

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
- Smart Minds Mathematics Learner's Book pg. 153
- Calculators

- Oral questions - Written exercises - Observation

Measurements

Temperature - Converting Kelvin to °C
Temperature - Temperature changes
Money - Profit
Money - Loss
Money - Percentage profit

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

- Explain conversion of Kelvin to degrees Celsius
- Convert temperature from Kelvin to degrees Celsius
- Appreciate the use of temperature conversions

- Complete table showing daily temperatures in Kelvin
- Convert to °C by subtracting 273
- Solve problems about melting points and town temperatures

How do we convert Kelvin to degrees Celsius?

- Smart Minds Mathematics Learner's Book pg. 154
- Temperature tables
- Calculators
- Smart Minds Mathematics Learner's Book pg. 155
- Thermometers
- Digital devices
- Smart Minds Mathematics Learner's Book pg. 157
- Classroom shop
- Paper money
- Smart Minds Mathematics Learner's Book pg. 159
- Price tables
- Charts
- Smart Minds Mathematics Learner's Book pg. 160
- Tables

- Written exercises - Oral questions - Observation

Measurements

Money - Percentage loss
Money - Discount
Money - Percentage discount
Money - Commission and percentage commission

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

- Define percentage loss
- Calculate percentage loss
- Value the importance of minimizing loss in business

- Draw tables with buying price, selling price and loss
- Work out percentage loss = (Loss ÷ Buying price) × 100%
- Solve problems about mattresses, dresses and sheep

How do we calculate percentage loss?

- Smart Minds Mathematics Learner's Book pg. 162
- Tables
- Calculators
- Smart Minds Mathematics Learner's Book pg. 164
- Price tags
- Charts
- Smart Minds Mathematics Learner's Book pg. 166
- Smart Minds Mathematics Learner's Book pg. 167
- Commission tables

- Written assignments - Class activities - Oral questions

Measurements

Money - Interpreting bills
Money - Preparing bills
Money - Postal charges

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

- Identify different types of bills
- Interpret components of bills (date, amount, items)
- Appreciate the importance of bills in transactions

- Look at water bills and electricity bills
- Identify components: billing date, metre number, amount payable
- Use digital devices to search for other types of bills

What are the components of a bill?

- Smart Minds Mathematics Learner's Book pg. 171
- Sample bills
- Digital devices
- 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 assignments - Class activities - Oral questions

Measurements

Money - Mobile money services
Money - Mobile money transactions

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

- Written exercises - Oral questions - Observation

Geometry

Angles - Angles on a straight line
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 on a straight line
- State that angles on a straight line add up to 180°
- Show interest in learning about angles

- Go outside classroom and identify angles made by objects in relation to ground
- Draw line AB and mark point P, measure angle APB using protractor
- Draw lines LP and KP and measure angles APL, LPK, KPB

What is the sum of angles on a straight line?

- Smart Minds Mathematics Learner's Book pg. 184
- Protractors
- Rulers
- Smart Minds Mathematics Learner's Book pg. 186
- 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

- Oral questions - Written exercises - Observation

Geometry

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

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
- Smart Minds Mathematics Learner's Book pg. 197
- Polygon cut-outs

- Written assignments - Class activities - Oral questions

Geometry

Angles - Exterior angles of polygons
Geometrical Constructions - Measuring angles
Geometrical Constructions - Bisecting angles

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

- Identify exterior angles of polygons
- State that sum of exterior angles of any polygon is 360°
- Show interest in calculating exterior angles

- Trace and cut out quadrilateral, measure exterior angles A, B, C, D
- Find sum of exterior angles (360°)
- Draw and find sum of exterior angles of pentagon, hexagon

What is the sum of exterior angles of any polygon?

- Smart Minds Mathematics Learner's Book pg. 201
- Polygon cut-outs
- Protractors
- Smart Minds Mathematics Learner's Book pg. 207
- Protractors
- Rulers
- Smart Minds Mathematics Learner's Book pg. 208
- Pair of compasses

- Written assignments - Class activities - Oral questions

Geometry

Geometrical Constructions - Constructing 90° angle
Geometrical Constructions - Constructing 45° angle
Geometrical Constructions - Constructing 60° angle
Geometrical Constructions - Constructing 30° angle

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

- Construct an angle of 90° using a pair of compasses and ruler
- Verify the constructed angle using a protractor
- Show confidence in constructing 90° angles

- Draw horizontal line, mark point A
- With compasses at A, make arcs on line at points X and Y
- With centres X and Y, draw arcs above line to intersect at T, join T to A

How do we construct an angle of 90°?

- Smart Minds Mathematics Learner's Book pg. 210
- Pair of compasses
- Rulers, protractors
- Smart Minds Mathematics Learner's Book pg. 211
- Rulers
- Smart Minds Mathematics Learner's Book pg. 213
- Smart Minds Mathematics Learner's Book pg. 214

- Practical exercises - Oral questions - Observation

Geometry

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

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

- Construct an angle of 120° using a pair of compasses and ruler
- Verify the constructed angle
- Show confidence in constructing obtuse angles

- Draw straight line, mark point M
- With centre M, make arc at C, with centre C make arc at E
- With centre E and same radius, make arc at F, join E to M (angle EMB = 120°)

How do we construct an angle of 120°?

- Smart Minds Mathematics Learner's Book pg. 215
- Pair of compasses
- Rulers, protractors
- Smart Minds Mathematics Learner's Book pg. 216
- Rulers
- Smart Minds Mathematics Learner's Book pg. 218
- Smart Minds Mathematics Learner's Book pg. 219

- Practical exercises - Oral questions - Observation

Geometry

Geometrical Constructions - Constructing scalene triangles
Geometrical Constructions - Constructing circles

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

- Practical exercises - Oral questions - Observation

Data Handling and Probability

Data Handling - Meaning of data and data collection
Data Handling - Frequency tables
Data Handling - Determining suitable scale
Data Handling - Drawing pictographs

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

- Define data as information gathered by observation, questioning or measurement
- Collect data through simple activities
- Show interest in collecting data

- Use digital device to find meaning of data
- Select favourite fruit from options (banana, watermelon, orange, mango)
- Write favourite fruit on paper and drop in basket, count responses

What is data?

- Smart Minds Mathematics Learner's Book pg. 222
- Pieces of paper
- Basket
- 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

- Oral questions - Written exercises - Observation

Data Handling and Probability

Data Handling - Drawing bar graphs
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:

- Identify components of a bar graph (axes, bars, scale)
- Draw bar graphs to represent data
- Appreciate the use of bar graphs in data representation

- Make boxes of different colours and pile similar colours together
- Draw two axes: vertical (frequency) and horizontal (categories)
- Draw bars of same thickness with heights representing values

How do we draw a bar graph?

- Smart Minds Mathematics Learner's Book pg. 228
- Graph papers
- Rulers, coloured pencils
- 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
- Rulers
- Smart Minds Mathematics Learner's Book pg. 240

- Written exercises - Practical activities - Observation