Numbers

Fractions - Multiplying fractions by whole numbers and 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

- Written exercises - Oral questions - Observation

Numbers

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

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

- Explain how to convert mixed numbers to improper fractions
- Multiply mixed numbers
- Appreciate the use of multiplication of fractions in real life

- Convert mixed numbers to improper fractions
- Multiply and convert answers to mixed numbers
- Solve real life problems involving multiplication

Where do we use multiplication of fractions in daily life?

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

- Written assignments - Class activities - Oral questions

Numbers

Fractions - Creating fraction sequences

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

- Class activities - Written exercises - Observation

Numbers

Decimals - Place value of digits in decimals

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

- Identify place value of digits in decimals up to hundred thousandths
- Use place value charts to represent decimals
- Show interest in learning decimal place values

- Measure masses and record in decimals
- Fill masses in place value charts showing tenths, hundredths, thousandths, ten thousandths and hundred thousandths
- Discuss where decimals are used in real life

What is the place value of digits in decimals?

- Smart Minds Mathematics Learner's Book pg. 56
- Place value charts
- Measuring instruments

- Oral questions - Written exercises - Observation

Numbers

Decimals - Total value of digits in decimals
Decimals - Multiplying decimals by whole numbers

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

- Written assignments - Class activities - Oral questions

Numbers

Decimals - Multiplying decimals by decimals

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

- State the rule for decimal places in multiplication
- Multiply decimals by decimals
- Value accuracy in multiplying decimals

- Calculate area of innovative gardens in shape of squares
- Count total decimal places in both numbers
- Multiply and place decimal point correctly in answer

How do we multiply decimals by decimals?

- Smart Minds Mathematics Learner's Book pg. 61
- Square diagrams
- Calculators

- Written assignments - Class activities - Oral questions

Numbers

Decimals - Dividing decimals by whole numbers

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

- Explain the process of dividing decimals by whole numbers
- Divide decimals by whole numbers
- Show interest in division of decimals

- Calculate width of compound given area and length
- Use long division method with decimals
- Solve problems involving cutting strings and packing flour

How do we divide decimals by whole numbers?

- Smart Minds Mathematics Learner's Book pg. 62
- Number cards
- Calculators

- Written exercises - Oral questions - Observation

Numbers

Decimals - Dividing decimals by decimals
Squares and Square Roots - Squares of whole numbers

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

- Describe the method of dividing decimals by decimals
- Divide decimals by decimals using reciprocals
- Appreciate the application of division of decimals in real life

- Draw and complete tables converting decimals to fractions
- Multiply dividend by reciprocal of divisor
- Solve problems like cutting sugarcane and buying maize

How do we divide decimals by decimals?

- Smart Minds Mathematics Learner's Book pg. 63
- Conversion tables
- Calculators
- Smart Minds Mathematics Learner's Book pg. 64
- Square grids

- Written assignments - Class activities - Oral questions

Numbers

Squares and Square Roots - Squares of fractions

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

- Explain how to find squares of fractions
- Determine squares of proper and mixed fractions
- Appreciate the use of squares in real life

- Complete charts showing fractions and their squares
- Square numerator and denominator separately
- Convert mixed fractions to improper fractions before squaring

How do we find the square of a fraction?

- Smart Minds Mathematics Learner's Book pg. 65
- Fraction charts
- Number cards

- Written assignments - Class activities - Oral questions

Numbers

Squares and Square Roots - Squares of decimals

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

- State the rule for decimal places when squaring decimals
- Determine squares of decimals
- Value accuracy in calculating squares of decimals

- Cut out ribbons and make square figures during Visual Arts
- Find area of squares with decimal sides
- Observe that square has double the decimal places

How do we find the square of a decimal?

- Smart Minds Mathematics Learner's Book pg. 66
- Square cut-outs
- Calculators

- Written exercises - Oral questions - Observation

Numbers

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

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

- Explain methods of finding square roots
- Determine square roots of whole numbers and fractions
- Show confidence in finding square roots

- Express numbers as products of prime factors
- Pair up similar factors and select one from each pair
- Use division method for larger numbers
- Find square root of numerator and denominator separately

How do we find the square root of a number?

- Smart Minds Mathematics Learner's Book pg. 68
- Factor trees
- Number cards

- Written assignments - Class activities - Oral questions

Numbers
Algebra

Squares and Square Roots - Square roots of decimals
Algebraic Expressions - Forming 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

- Written exercises - Oral questions - Class activities

Algebra

Algebraic Expressions - Forming expressions involving multiplication and division

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

- Explain the process of forming expressions involving multiplication and division
- Form algebraic expressions involving multiplication and division
- Appreciate the use of algebraic expressions in real life

- Collect objects like pencils and sharpeners and group similar objects
- Let selling price of pencil be sh p and sharpeners be sh b
- Write expressions for cost of buying multiple items

How do we form expressions involving multiplication and division?

- Smart Minds Mathematics Learner's Book pg. 73
- Pencils, sharpeners
- Price tags

- Written assignments - Class activities - Oral questions

Algebra

Algebraic Expressions - Simplifying expressions involving addition and subtraction

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

- Define like terms in algebraic expressions
- Simplify algebraic expressions by grouping like terms
- Show confidence in simplifying expressions

- Read story of Otieno buying pens and pencils at different prices
- Write expression for total amount spent
- Group like terms together and simplify

What are like terms in algebraic expressions?

- Smart Minds Mathematics Learner's Book pg. 74
- Shopping items
- Price lists

- Written exercises - Oral questions - Observation

Algebra

Algebraic Expressions - Simplifying expressions involving multiplication and division
Algebraic Expressions - Application of simplifying expressions

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

- Written assignments - Class activities - Oral questions

Algebra

Linear Equations - Forming equations involving addition and subtraction

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

- Define a linear equation
- Form linear equations involving addition and subtraction
- Show interest in forming equations

- Use beam balance with 5 kg mass on one side
- Place 2 kg mass and add sand of unknown mass x until balanced
- Write equation to show relationship: x + 2 = 5

What is a linear equation?

- Smart Minds Mathematics Learner's Book pg. 77
- Beam balance
- Masses (weights)

- Oral questions - Written exercises - Observation

Algebra

Linear Equations - Forming equations from word problems

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

- Written assignments - Class activities - Oral questions

Algebra

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:

- Explain how to form equations involving multiplication and division
- Form linear equations involving multiplication and division
- Show confidence in forming equations

- Read number card: "I think of a number. If I multiply by 3, I get 27"
- Form equation 3n = 27
- Write equations for area of rectangles: y × 5 = 40

How do we form equations involving multiplication and division?

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

- Written exercises - Oral questions - Observation

Algebra

Linear Equations - Solving equations involving multiplication and division

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

- Written exercises - Oral questions - Observation

Algebra

Linear Equations - Solving equations involving multiplication and division

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

- Written exercises - Oral questions - Observation

Algebra

Linear Equations - Application of linear equations

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

- Written assignments - Class activities - Oral questions

Algebra

Linear Equations - Application of linear equations

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

- Written assignments - Class activities - Oral questions

Algebra

Linear Inequalities - Inequality symbols

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

- Oral questions - Written exercises - Observation

Algebra

Linear Inequalities - Applying inequality symbols to statements

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

- Written assignments - Class activities - Oral questions

Algebra

Linear Inequalities - Applying inequality symbols to statements

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

- Written assignments - Class activities - Oral questions

Algebra

Linear Inequalities - Forming inequalities involving addition and subtraction

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

- Written exercises - Oral questions - Observation

Algebra

Linear Inequalities - Forming inequalities involving multiplication and division

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

- Explain how to form inequalities from multiplication and division situations
- Form simple linear inequalities involving multiplication and division
- Value the use of inequalities in problem solving

- Read story of Eric and Maureen buying pencils at sh 10 each
- Form inequality: 10x + 10(x+3) < 100
- Form inequalities about plates, shirts and bananas

How do we form inequalities involving multiplication and division?

- Smart Minds Mathematics Learner's Book pg. 85
- Word problem cards
- Number cards

- Written assignments - Class activities - Oral questions

Algebra

Linear Inequalities - Forming inequalities involving multiplication and division

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

- Explain how to form inequalities from multiplication and division situations
- Form simple linear inequalities involving multiplication and division
- Value the use of inequalities in problem solving

- Read story of Eric and Maureen buying pencils at sh 10 each
- Form inequality: 10x + 10(x+3) < 100
- Form inequalities about plates, shirts and bananas

How do we form inequalities involving multiplication and division?

- 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

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

- Written exercises - Oral questions - Observation

Algebra

Linear Inequalities - Forming compound inequalities

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

- Define a compound inequality
- Form compound inequalities from two simple inequalities
- Appreciate the use of compound inequalities

- Look at inequality cards: y ≥ 2 and y < 7 combined as 2 ≤ y < 7
- Read story about Grade 7 Red with learners less than 45 but more than 40
- Form compound inequalities like 5 < y < 12

What is a compound inequality?

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

- Written assignments - Class activities - Oral questions

Algebra

Linear Inequalities - Illustrating compound inequalities on a number line

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

- Written exercises - Oral questions - Observation

Algebra

Linear Inequalities - Illustrating compound inequalities on a number line

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

- Written exercises - Oral questions - Observation

Algebra

Linear Inequalities - Application of compound inequalities

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

- Written assignments - Class activities - Oral questions

Algebra

Linear Inequalities - Application of compound inequalities

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

- Written assignments - Class activities - Oral questions

Measurements

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 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

- Oral questions - Written exercises - Observation

Measurements

Pythagorean Relationship - Finding unknown sides

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

- Written exercises - Oral questions - Observation

Measurements

Pythagorean Relationship - Real life applications

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

- Identify real life situations involving Pythagorean relationship
- Solve real life problems using Pythagorean relationship
- Value the application of Pythagorean relationship in daily life

- Solve puzzle finding missing sides marked with letters
- Calculate length of ladder inclined on wall
- Use IT devices to explore applications in construction and surveying

Where do we apply Pythagorean relationship in daily life?

- Smart Minds Mathematics Learner's Book pg. 93
- Puzzles
- Digital devices

- Written assignments - Class activities - Oral questions

Measurements

Length - Converting units of length
Length - Addition 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

- Oral questions - Written exercises - Observation

Measurements

Length - Subtraction involving length

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

- Describe the process of subtracting lengths
- Subtract lengths involving Hm, Dm, m, dm and cm
- Show confidence in subtracting lengths

- Make cards with subtraction problems
- Regroup where necessary (borrow from higher unit)
- Solve problems comparing distances covered by Joan and John

How do we subtract lengths with different units?

- Smart Minds Mathematics Learner's Book pg. 98
- Number cards
- Charts

- Written exercises - Oral questions - Observation

Measurements

Length - Multiplication involving length

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

- Written assignments - Class activities - Oral questions

Measurements

Length - Division involving length

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

- Describe the process of dividing lengths
- Divide lengths involving Hm, Dm, m, dm and cm
- Show interest in division of lengths

- Read story of relay race team of 4 members covering 6 Hm 5 Dm 6 m
- Divide each unit starting from highest, convert remainders
- Solve problems about road sections tarmacked by workers

How do we divide lengths by whole numbers?

- Smart Minds Mathematics Learner's Book pg. 100
- Word problems
- Charts

- Written exercises - Oral questions - Observation

Measurements

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

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

- Written assignments - Class activities - Oral questions

Measurements

Area - Area of a rectangle

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

- Written assignments - Class activities - Oral questions

Measurements

Area - Area of a parallelogram

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

- Derive the formula for area of a parallelogram
- Calculate area of parallelograms
- Show confidence in finding area of parallelograms

- Cut out rectangle ABCD and mark point E on line AD
- Cut triangle ABE and paste on line DC to form parallelogram
- Discover: Area = Base length × Perpendicular height

How do we find the area of a parallelogram?

- Smart Minds Mathematics Learner's Book pg. 110
- Paper cut-outs
- Scissors

- Written exercises - Oral questions - Observation

Measurements

Area - Area of a rhombus
Area - Area of a trapezium

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

- Written assignments - Class activities - Oral questions

Measurements

Area - Area of circles

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

- Written assignments - Class activities - Oral questions

Measurements

Area - Area of borders

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

- Written exercises - Oral questions - Observation

Measurements

Area - Area of combined shapes
Volume and Capacity - The cubic metre (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

- Written assignments - Class activities - Oral questions

Measurements

Volume and Capacity - Converting m³ to cm³

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

- Written assignments - Class activities - Oral questions

Measurements

Volume and Capacity - Converting cm³ to m³

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

- Explain conversion of cm³ to m³
- Convert cubic centimetres to cubic metres
- Show confidence in converting units of volume

- Make number cards with volumes in cm³ (2,000,000 cm³, 7,000,000 cm³)
- Convert to m³ by dividing by 1,000,000
- Solve problems about oil tankers and water tanks

How do we convert cubic centimetres to cubic metres?

- Smart Minds Mathematics Learner's Book pg. 124
- Number cards
- Calculators

- Written exercises - Oral questions - Observation

Measurements

Volume and Capacity - Volume of cubes

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

- Written assignments - Class activities - Oral questions

Measurements

Volume and Capacity - Volume of cuboids
Volume and Capacity - Volume of cylinders

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

- Written exercises - Oral questions - Observation

Measurements

Volume and Capacity - Relating volume to capacity

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

- State the relationship between cm³, m³ and litres
- Convert between cm³, m³ and litres
- Value the relationship between volume and capacity

- Make model cube 10 cm × 10 cm × 10 cm
- Immerse in water and measure displaced water
- Establish: 1,000 cm³ = 1 litre, 1 m³ = 1,000 litres

What is the relationship between volume and capacity?

- Smart Minds Mathematics Learner's Book pg. 130
- Containers, basin
- Measuring cylinder

- Written exercises - Oral questions - Observation

Measurements

Volume and Capacity - Application of volume and capacity

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

- Written assignments - Class activities - Oral questions

Measurements

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

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

- Oral questions - Practical activities - Observation

Measurements

Time, Distance and Speed - Converting minutes and seconds

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

- State the relationship between minutes and seconds
- Convert minutes to seconds and seconds to minutes
- Show confidence in converting time units

- Use stopwatch to observe seconds in different minutes
- Establish: 1 minute = 60 seconds
- Solve problems about water pumps, walking distances

How do we convert minutes to seconds?

- Smart Minds Mathematics Learner's Book pg. 138
- Stopwatches
- Number cards

- Written exercises - Oral questions - Observation

Measurements

Time, Distance and Speed - Converting hours and seconds

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

- State the relationship between hours and seconds
- Convert hours to seconds and seconds to hours
- Value accuracy in converting time units

- Fill tables showing hours, minutes and seconds
- Establish: 1 hour = 3,600 seconds
- Solve problems about assignments, journeys and power saws

How do we convert hours to seconds?

- 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

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

- Written exercises - Oral questions - Observation

Measurements

Time, Distance and Speed - Speed in m/s

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

- Calculate speed in metres per second
- Solve problems involving speed in m/s
- Value the application of speed in real life

- Mark 100 m distance in the field
- Run 100 m race and record time using stopwatch
- Calculate speed in m/s

What is speed in metres per second?

- Smart Minds Mathematics Learner's Book pg. 145
- Measuring tape
- Stopwatches

- Written exercises - Oral questions - Observation

Measurements

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:

- Explain conversion of speed units
- Convert km/h to m/s and m/s to km/h
- Appreciate the importance of speed in daily activities

- Read story of school driver observing traffic rules
- Convert distance from km to m, time from hours to seconds
- Practice converting speed between km/h and m/s

How do we convert speed from km/h to m/s?

- Smart Minds Mathematics Learner's Book pg. 146
- Conversion charts
- Digital devices

- Written assignments - Class activities - Oral questions