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 - Rounding off to the nearest ten millions
Whole Numbers - Rounding off to the nearest hundreds of 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. 15
- Smart Minds Mathematics Learner's Book pg. 14

- Oral questions - Observation - Class activities

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
Whole Numbers - Multiplying whole numbers

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

- Written exercises - Class activities - Oral questions

Numbers

Whole Numbers - Dividing whole numbers
Whole Numbers - Working out combined operations (DMAS)

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

- Explain the long division method
- Divide whole numbers systematically
- Value accuracy in division

- Read stories involving division (cement transportation)
- Work out division step by step
- Solve problems with and without remainders

How do we divide large numbers?

- Smart Minds Mathematics Learner's Book pg. 23
- Number cards
- Calculators
- Smart Minds Mathematics Learner's Book pg. 24
- Charts

- Written assignments - Oral questions - Class activities

Numbers

Whole Numbers - Applying combined operations in real life
Whole Numbers - Identifying number sequences

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

- Identify real life situations involving combined operations
- Solve real life problems using combined operations
- Appreciate the use of combined operations

- Solve problems like tomato sales and tree planting
- Work out stadium seating arrangements
- Apply combined operations in bread trading scenarios

Where do we use combined operations in daily life?

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

- Written assignments - Class activities - Oral questions

Numbers

Whole Numbers - Creating number sequences
Factors - Divisibility test for 2
Factors - Divisibility test for 3
Factors - Divisibility test for 4

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

- Explain different rules for creating sequences
- Create addition, subtraction, multiplication and division sequences
- Enjoy creating number puzzles

- Create subtraction sequence starting from 1000
- Create addition sequence starting from 1012
- Play games creating number puzzles using IT devices

How do we create number sequences?

- Smart Minds Mathematics Learner's Book pg. 26
- Number cards
- Digital devices
- Smart Minds Mathematics Learner's Book pg. 27
- Divisibility worksheets
- Smart Minds Mathematics Learner's Book pg. 28
- Worksheets
- Smart Minds Mathematics Learner's Book pg. 29
- Charts

- Class activities - Written exercises - Observation

Numbers

Factors - Divisibility tests for 5 and 6
Factors - Divisibility tests for 8, 9, 10 and 11
Factors - Prime factors of composite numbers
Factors - GCD and LCM of numbers
Fractions - Comparing fractions

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

- State divisibility rules for 5 and 6
- Test divisibility of numbers by 5 and 6
- Show interest in divisibility patterns

- Identify numbers ending in 5 or 0 for divisibility by 5
- Test divisibility by both 2 and 3 for divisibility by 6
- Practice with various numbers

How do we test divisibility by 5 and 6?

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

- Written assignments - Class activities - Oral questions

Numbers

Fractions - Arranging fractions in order
Fractions - Adding fractions
Fractions - Subtracting fractions
Fractions - Multiplying fractions by whole numbers and fractions
Fractions - Multiplying mixed numbers

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

- Describe the process of ordering fractions
- Arrange fractions in ascending and descending order
- Appreciate the use of fractions in sharing

- Find LCM of denominators
- Convert fractions to equivalent fractions
- Arrange fractions from largest to smallest

How do we arrange fractions in ascending and descending order?

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

- Written assignments - Class activities - Oral questions

Numbers

Fractions - Reciprocals and dividing fractions
Fractions - Dividing whole numbers by fractions and mixed fractions
Fractions - Creating fraction sequences
Decimals - Place value of digits in decimals

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

- Define a reciprocal of a fraction
- Identify reciprocals and divide fractions using reciprocals
- Show confidence in dividing fractions

- Use flip cards to discuss reciprocals
- Multiply by reciprocal to divide fractions
- Practice division of fractions by whole numbers

What is the reciprocal of a fraction?

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

- Written exercises - Oral questions - Observation

Numbers

Decimals - Total value of digits in decimals
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:

- Define total value of digits in decimals
- Calculate total value of digits in decimal numbers
- Appreciate the use of total value in decimals

- Draw abacus showing decimal numbers
- Write down numbers represented on abacus
- Calculate total value by multiplying digit by its place value

How do we find the total value of a digit in a decimal?

- Smart Minds Mathematics Learner's Book pg. 59
- Abacus
- Place value charts
- 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 assignments - Class activities - Oral questions

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
Linear Equations - Application of linear equations

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
- Smart Minds Mathematics Learner's Book pg. 81
- Triangle diagrams
- Digital devices

- Written assignments - Class activities - Oral questions

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
Linear Inequalities - Illustrating compound inequalities on a number line

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
- Smart Minds Mathematics Learner's Book pg. 88

- Written exercises - Oral questions - Observation

Algebra
Measurements
Measurements

Linear Inequalities - Application of compound inequalities
Pythagorean Relationship - Sides of a right-angled triangle
Pythagorean Relationship - Establishing the relationship

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

- Identify real life situations involving compound inequalities
- Form and illustrate compound inequalities from word problems
- Value the application of inequalities in daily life

- Solve problems about farmers with goats (less than 8 but more than 6)
- Form compound inequality and illustrate on number line
- Solve problems about Katana buying oranges

Where do we use compound inequalities in real life?

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

- Written assignments - Class activities - Oral questions

Measurements

Pythagorean Relationship - Finding unknown sides
Pythagorean Relationship - Real life applications
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:

- Explain how to use Pythagorean relationship to find unknown sides
- Calculate unknown sides using a² + b² = c²
- Show confidence in applying the relationship

- Use formula c² = a² + b² to find hypotenuse
- Use formula a² = c² - b² to find shorter sides
- Solve problems like finding length of ramp and ladder

How do we find unknown sides using Pythagorean relationship?

- Smart Minds Mathematics Learner's Book pg. 92
- Calculators
- Triangle diagrams
- Smart Minds Mathematics Learner's Book pg. 93
- Puzzles
- Digital devices
- 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

- Written exercises - Oral questions - 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
Area - Area of circles

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
- Smart Minds Mathematics Learner's Book pg. 116
- Pair of compasses
- Manila paper

- Written assignments - Class activities - Oral questions

Measurements

Area - Area of borders
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:

- Define the area of a border
- Calculate area of borders (shaded regions)
- Value accuracy in calculating area of borders

- Read story of Mary putting picture in frame
- Calculate: Area of border = Area of larger shape - Area of smaller shape
- Solve problems about picture frames, carpets and swimming pools

How do we find the area of a border?

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

- Written exercises - Oral questions - Observation

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

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

- Written assignments - Class activities - Oral questions

Measurements

Volume and Capacity - Application of volume and capacity
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:

- Calculate capacity of containers in litres
- Solve problems involving volume and capacity
- Appreciate the application of volume and capacity in daily life

- Collect containers of different shapes
- Find volume and convert to capacity in litres
- Solve problems about tanks, tins and pipes

Where do we use volume and capacity in daily life?

- Smart Minds Mathematics Learner's Book pg. 132
- Various containers
- Digital devices
- 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

- Written assignments - Class activities - Oral questions

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
Temperature - Converting Kelvin to °C

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
- Smart Minds Mathematics Learner's Book pg. 154
- Temperature tables

- Oral questions - Written exercises - Observation

Measurements

Temperature - Temperature changes
Money - Profit
Money - Loss
Money - Percentage profit

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

- Calculate rise or drop in temperature
- Solve problems involving temperature changes
- Show interest in temperature changes in daily life

- Record temperature at different times (8:00 a.m., 2:00 p.m.)
- Calculate temperature rise: Final temp - Initial temp
- Calculate temperature drop: Initial temp - Final temp

How do we calculate temperature changes?

- 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
- Calculators

- Written assignments - Class activities - Oral questions

Measurements

Money - Percentage loss
Money - Discount
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 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
- 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
Money - Mobile money services

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
- Smart Minds Mathematics Learner's Book pg. 178
- Word puzzles

- Written exercises - Oral questions - Observation

Measurements
Geometry
Geometry

Money - Mobile money transactions
Angles - Angles on a straight line
Angles - Angles at a point

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

- Interpret mobile money transaction tables
- Calculate transfer costs, withdrawal costs and interest on loans
- Appreciate the efficiency of mobile money transactions

- Study Uwezo Mobile Money transaction tables
- Calculate costs for different transaction ranges
- Calculate interest on loans and savings from mobile lending apps

How do we calculate mobile money transaction costs?

- Smart Minds Mathematics Learner's Book pg. 179
- Transaction tables
- Calculators
- Smart Minds Mathematics Learner's Book pg. 184
- Protractors
- Rulers
- Smart Minds Mathematics Learner's Book pg. 186
- Paper cut-outs

- Written assignments - Class activities - Oral questions

Geometry

Angles - Vertically opposite angles
Angles - Alternate angles on a transversal
Angles - Corresponding angles on a transversal
Angles - Co-interior angles on a transversal
Angles - Angles in a parallelogram

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

- Identify vertically opposite angles
- State that vertically opposite angles are equal
- Show confidence in working with vertically opposite angles

- Trace and cut out figure with angles a, b, c and d
- Use protractor to measure each angle
- Compare angles: a = c, b = d (vertically opposite angles are equal)

What are vertically opposite angles?

- Smart Minds Mathematics Learner's Book pg. 187
- Protractors
- Scissors
- Smart Minds Mathematics Learner's Book pg. 188
- Rulers
- Smart Minds Mathematics Learner's Book pg. 190
- Scissors, protractors
- Smart Minds Mathematics Learner's Book pg. 191
- Smart Minds Mathematics Learner's Book pg. 193
- Straws, string
- Protractors

- Written exercises - Oral questions - Observation

Geometry

Angles - Interior angles of triangles, rectangles, squares
Angles - Interior angles of rhombus, parallelogram, trapezium, pentagon, hexagon
Angles - Exterior angles of polygons

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

- Identify interior angles of triangles, rectangles and squares
- Calculate sum of interior angles
- Value the properties of interior angles

- Trace and draw triangle, cut angles a, b, c and make straight line (sum = 180°)
- Trace rectangle and square, measure interior angles
- Establish sum of interior angles is 360° for quadrilaterals

What is the sum of interior angles of a triangle?

- Smart Minds Mathematics Learner's Book pg. 195
- Protractors
- Polygon cut-outs
- Smart Minds Mathematics Learner's Book pg. 197
- Polygon cut-outs
- Protractors
- Smart Minds Mathematics Learner's Book pg. 201

- Written assignments - Class activities - Oral questions

Geometry

Geometrical Constructions - Measuring angles
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:

- Use a protractor to measure angles accurately
- Draw angles of given sizes
- Show interest in measuring angles

- Trace and draw figures with angles ABC, BAC, ACB, ACD
- Place protractor with centre at vertex, straight edge along one line
- Read angle measure from correct scale

How do we measure angles using a protractor?

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

- Oral questions - Practical activities - Observation

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
Geometrical Constructions - Constructing scalene 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
- Smart Minds Mathematics Learner's Book pg. 220

- Written assignments - Practical activities - Oral questions

Geometry
Data Handling and Probability
Data Handling and Probability
Data Handling and Probability
Data Handling and Probability

Geometrical Constructions - Constructing circles
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:

- Construct circles given radius or diameter
- Measure and verify the dimensions of constructed circles
- Appreciate the application of geometrical constructions in real life

- Use pair of compasses to draw circles with different diameters
- Measure diameter of circles drawn
- Calculate radius from diameter (radius = diameter ÷ 2)

How do we construct circles with given measurements?

- Smart Minds Mathematics Learner's Book pg. 221
- Pair of compasses
- Rulers
- 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
- Smart Minds Mathematics Learner's Book pg. 226
- Bloating paper
- Scissors, glue

- Written assignments - Practical activities - Oral questions

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

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

- Written exercises - Practical activities - Observation

Data Handling and Probability

Data Handling - Drawing line graphs
Data Handling - Interpreting travel graphs

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

- Define a line graph as showing relationship between two quantities
- Draw line graphs to represent data
- Appreciate the use of line graphs in showing trends

- Study table showing packets of milk and cost in shillings
- Choose appropriate scale, draw and mark axes
- Plot points using table values, join points with straight line

How do we draw a line graph?

- Smart Minds Mathematics Learner's Book pg. 238
- Graph papers
- Rulers
- Smart Minds Mathematics Learner's Book pg. 240
- Calculators

- Written exercises - Practical activities - Observation