Numbers

Whole Numbers - Adding 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

- Written exercises - Class activities - Oral questions

Numbers

Whole Numbers - Subtracting whole numbers up to hundreds of millions

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

- Explain the process of subtracting large numbers
- Subtract whole numbers up to hundreds of millions
- Appreciate the use of subtraction in daily life

- Read stories involving subtraction (coffee export)
- Use place value charts to work out subtraction
- Solve problems like milk production and sales

Where do we use subtraction in real life?

- Smart Minds Mathematics Learner's Book pg. 21
- Place value charts
- klb top scholar mathematics grade 7 

- Written assignments - Oral questions - Class activities

Numbers

Whole Numbers - Multiplying 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
- klb top scholar mathematics grade 7 

- Written exercises - Class activities - Observation

Numbers

Whole Numbers - Dividing whole numbers

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
- klb top scholar 

- Written assignments - Oral questions - Class activities

Numbers

Whole Numbers - Working out combined operations (DMAS)

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
- klb top scholar 

- Written exercises - Oral questions - Class activities

Numbers

Whole Numbers - Applying combined operations in real life

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
- klb top scholar grade 7 

- Written assignments - Class activities - Oral questions

Numbers

Whole Numbers - Identifying number sequences

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

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

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

What is a number sequence?

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

- Oral questions - Written exercises - Observation

Numbers

Whole Numbers - Creating number sequences
Factors - Prime factors of composite numbers

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
- Smart Minds Mathematics Learner's Book pg. 36

- Class activities - Written exercises - Observation

Numbers

Factors - GCD and LCM of numbers
Fractions - Comparing fractions

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

- Define GCD and LCM
- Work out GCD and LCM of numbers by factor method
- Appreciate the application of GCD and LCM in real life

- List factors of numbers like 12 and 36 to find GCD
- List multiples of numbers like 8 and 12 to find LCM
- Solve problems like cutting sticks and ribbon lengths

How do we find the GCD and LCM of numbers?

- Smart Minds Mathematics Learner's Book pg. 37
- klb top scholar grade 7 

- Written exercises - Class activities - Oral questions

Numbers

Fractions - Arranging fractions in order
Fractions - Adding fractions

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
- klb top scholar  mathematics grade 7 

- Written assignments - Class activities - Oral questions

Numbers

Fractions - Subtracting fractions
Fractions - Multiplying fractions by whole numbers and fractions

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

- Explain the process of subtracting fractions
- Subtract fractions with different denominators
- Value accuracy in subtracting fractions

- Use cut outs and models to subtract fractions
- Find common denominators
- Subtract numerators and simplify results

How do we subtract fractions with different denominators?

- Smart Minds Mathematics Learner's Book pg. 36
- Fraction cut outs
- Concrete objects
- klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Numbers

Fractions - Multiplying mixed numbers
Fractions - Reciprocals and dividing 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
- Flip cards
- klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Numbers

Fractions - Dividing whole numbers by fractions and mixed fractions
Fractions - Creating fraction sequences

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
- klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Numbers

Decimals - Place value of digits in decimals
Decimals - Total value of digits in decimals

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

- Identify 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

- Oral questions - Written exercises - Observation

Numbers

Decimals - Multiplying decimals by whole numbers
Decimals - Multiplying 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
- klb top scholar mathematics grade 7 

- Written exercises - Oral questions - Observation

Numbers

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 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
- 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

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
- klb top scholar mathematics grade 7 

- Oral questions - Written exercises - Observation

Numbers

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:

- 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 grade 7 

- Written exercises - Oral questions - Observation

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
- klb top scholar mathematics grade 7 

- Written exercises - Oral questions - Class activities

Algebra

Algebraic Expressions - Forming expressions involving multiplication and division
Algebraic Expressions - Simplifying expressions involving addition and subtraction

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

- 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
- klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

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
- klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Algebra

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

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
- klb top scholar mathematics grade 7 

- Oral questions - Written exercises - Observation

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
- klb top scholar mathematics grade 7 

- 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

- 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
- klb top scholar mathematics grade 7 

- 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
- 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 - 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 - 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
Measurements

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

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
- klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

Pythagorean Relationship - Establishing the relationship
Pythagorean Relationship - Finding unknown sides

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

- State the Pythagorean relationship
- Verify Pythagorean relationship by counting squares
- Appreciate the relationship between sides of a right-angled triangle

- Trace and draw right-angled triangle with sides 3 cm, 4 cm and 5 cm
- Draw squares on each side and divide into 1 cm squares
- Count squares and compare: squares on height + squares on base = squares on hypotenuse

What is the Pythagorean relationship?

- Smart Minds Mathematics Learner's Book pg. 91
- klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

Pythagorean Relationship - Real life applications
Length - Converting units of length

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. 92
- Smart Minds Mathematics Learner's Book pg. 94
- Conversion charts
- Metre rulers

- Written assignments - Class activities - Oral questions

Measurements

Length - Addition involving length
Length - Subtraction involving length

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

- Explain the process of adding lengths with different units
- Add lengths involving Hm, Dm, m, dm and cm
- Appreciate the use of addition of length in real life

- Study map showing distances between home, school and shopping centre
- Add lengths and regroup where necessary
- Solve problems like Munyao walking from home to market to school

How do we add lengths with different units?

- Smart Minds Mathematics Learner's Book pg. 96
- klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

Length - Multiplication involving length
Length - Division 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 7

- Written assignments - Class activities - Oral questions

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

- Written assignments - Class activities - Oral questions

Measurements

Area - Area of a rectangle
Area - Area of a parallelogram

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
- klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

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 7

- Written assignments - Class activities - Oral questions

Measurements

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 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
- Manila paper

- Written assignments - Class activities - Oral questions

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
- klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

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:

- 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
- klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

Volume and Capacity - Volume of cubes
Volume and Capacity - Volume of cuboids

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
- Klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

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 cylinder
- Calculate volume of cylinders using πr²h
- Show interest in finding volume of cylinders

- Arrange pile of similar coins to form cylinder
- Measure diameter and height
- Establish: Volume = πr² × height

How do we find the volume of a cylinder?

- Smart Minds Mathematics Learner's Book pg. 128
- Klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

Volume and Capacity - Application of volume and capacity
Time, Distance and Speed - Units of measuring time

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
- Klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

Time, Distance and Speed - Converting hours and minutes
Time, Distance and Speed - Converting minutes and seconds

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

- State the relationship between hours and minutes
- Convert hours to minutes and minutes to hours
- Appreciate the use of time conversions

- Make clock face using paper cut-out
- Move minute hand clockwise to complete one turn (60 minutes)
- Establish: 1 hour = 60 minutes

How do we convert hours to minutes?

- Smart Minds Mathematics Learner's Book pg. 136
- Klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

Time, Distance and Speed - Converting hours and seconds
Time, Distance and Speed - Converting units of distance

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

- Written assignments - Class activities - Oral questions

Measurements

Time, Distance and Speed - Speed in km/h
Time, Distance and Speed - Speed in m/s

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

- Define speed as distance covered per unit time
- Calculate speed in kilometres per hour
- Show interest in calculating speed

- Walk and run around athletics field (1 lap = 400 m)
- Record time taken for each activity
- Calculate: Speed = Distance ÷ Time

What is speed in kilometres per hour?

- Smart Minds Mathematics Learner's Book pg. 144
- Klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

Time, Distance and Speed - Converting km/h to m/s and vice versa
Temperature - Temperature in our environment

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
- Klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Comparing temperature
Temperature - Units of measuring temperature

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

- Compare temperature of different objects
- Use warmer, colder, hotter to compare temperature
- Appreciate the importance of temperature in daily life

- Shake hands with partner and compare warmth
- Compare coldness of tap water and ice cubes
- Compare temperature of metallic and wooden objects

How do we compare temperature?

- Smart Minds Mathematics Learner's Book pg. 150
- Thermometers

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Converting °C to Kelvin
Temperature - Converting Kelvin to °C

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

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

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

How do we convert degrees Celsius to Kelvin?

- Smart Minds Mathematics Learner's Book pg. 153
- Klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Temperature changes
Money - 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
- Klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

Money - Loss
Money - Percentage profit

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

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

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

What is loss in business?

- Smart Minds Mathematics Learner's Book pg. 159
- Klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

Money - Percentage loss
Money - Discount

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

- Written assignments - Class activities - Oral questions

Measurements

Money - Percentage discount
Money - Commission and percentage commission

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

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

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

How do we calculate percentage discount?

- Smart Minds Mathematics Learner's Book pg. 166
- Klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

Money - Interpreting bills
Money - Preparing bills

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
- Klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

Money - Postal charges

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

- Identify postal services and charges
- Calculate cost of sending letters, parcels and postcards
- Appreciate postal services in communication

- Visit nearby post office to gather information
- Prepare chart showing postal charges by mass limits
- Calculate costs for different letters and parcels

How do we calculate postal charges?

- Smart Minds Mathematics Learner's Book pg. 173
- Klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions

Measurements

Money - Mobile money services

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
- Klb top scholar mathematics grade 7 

- Written exercises - Oral questions - Observation

Measurements

Money - Mobile money transactions

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
- Klb top scholar mathematics grade 7 

- Written assignments - Class activities - Oral questions