Algebra

Algebraic Expressions - Forming expressions involving addition and subtraction

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

- Define an algebraic expression
- Form algebraic expressions involving addition and subtraction from real life situations
- Show interest in forming algebraic expressions

- Discuss objects like oranges owned by different learners using letters x and y
- Write expressions for total number of items
- Form expressions from stories involving cows, eggs and ages

How do we form algebraic expressions from real life situations?

- Smart Minds Mathematics Learner's Book pg. 72
- Real objects (oranges, pencils)
- Number cards

- Oral questions - Written exercises - Observation

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
- Pencils, sharpeners
- Price tags
- Smart Minds Mathematics Learner's Book pg. 74
- Shopping items
- Price lists

- 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
- 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
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
- Beam balance
- Masses (weights)
- Smart Minds Mathematics Learner's Book pg. 78
- Word problem cards
- Number cards

- 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
- 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 - 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 - 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
Linear Inequalities - Application of compound inequalities

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

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

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

How do we illustrate compound inequalities on a number line?

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

- Written exercises - Oral questions - Observation

Measurements

Pythagorean Relationship - Sides of a right-angled triangle
Pythagorean Relationship - Establishing the relationship

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
Pythagorean Relationship - Real life applications

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

- Written exercises - Oral questions - Observation

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

- Written exercises - Oral questions - Observation

Measurements

Length - Division involving length
Length - Perimeter and circumference of circles

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

- Written exercises - Oral questions - Observation

Measurements

Area - Square metres, acres and hectares
Area - Area of a rectangle
Area - Area of a parallelogram

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

- Identify square metre, acre and hectare as units of area
- Convert between square metres, acres and hectares
- Show interest in units of measuring area

- Draw square measuring 1 m by 1 m and find area (1 m²)
- Walk around school compound and identify 1 acre piece of land
- Observe shapes with area of 1 hectare (100 m × 100 m)

What are the units of measuring area?

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

- Oral questions - Written exercises - 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
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
- Pair of compasses
- Manila paper
- Smart Minds Mathematics Learner's Book pg. 119
- Picture frames
- Diagrams

- Written assignments - Class activities - Oral questions

Measurements

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

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

- Written assignments - Class activities - Oral questions

Measurements

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

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

- 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
- Coins, cylindrical objects
- Rulers
- 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

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

- Written assignments - Class activities - Oral questions

Measurements

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:

- 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
- Smart Minds Mathematics Learner's Book pg. 140
- Calculators
- Conversion charts

- Written exercises - Oral questions - Observation

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
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:

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

- Written exercises - Oral questions - Observation

Measurements

Temperature - Temperature in our environment

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

- Oral questions - Written exercises - Observation

Measurements

Temperature - Comparing 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
- Ice cubes
- Metallic and wooden objects

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Comparing 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
- Ice cubes
- Metallic and wooden objects

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Comparing 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
- Ice cubes
- Metallic and wooden objects

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Comparing 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
- Ice cubes
- Metallic and wooden objects

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Comparing 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
- Ice cubes
- Metallic and wooden objects

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Units of measuring temperature

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

- Identify Celsius (°C) and Kelvin (K) as units of temperature
- Read temperature from thermometers
- Show confidence in reading temperature

- Visit health centre to see thermometer
- Identify °C and K symbols on thermometer
- Measure water temperature before and after heating

What are the units of measuring temperature?

- Smart Minds Mathematics Learner's Book pg. 151
- Thermometers
- Sufuria, water

- Written exercises - Oral questions - Observation

Measurements

Temperature - Converting °C to Kelvin

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

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

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

How do we convert degrees Celsius to Kelvin?

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

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Converting °C to Kelvin

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

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

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

How do we convert degrees Celsius to Kelvin?

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

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Converting °C to Kelvin

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

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

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

How do we convert degrees Celsius to Kelvin?

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

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Converting °C to Kelvin

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

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

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

How do we convert degrees Celsius to Kelvin?

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

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Converting Kelvin to °C

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

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

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

How do we convert Kelvin to degrees Celsius?

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

- Written exercises - Oral questions - Observation

Measurements

Temperature - Converting Kelvin to °C

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

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

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

How do we convert Kelvin to degrees Celsius?

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

- Written exercises - Oral questions - Observation

Measurements

Temperature - Temperature changes

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

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Temperature changes

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

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Temperature changes

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

- Written assignments - Class activities - Oral questions

Measurements

Money - Profit

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

- Define profit in business transactions
- Calculate profit given buying and selling prices
- Show interest in calculating profit

- Role-play shopping activities using classroom shop
- Compare buying price and selling price
- Establish: Profit = Selling price - Buying price

What is profit in business?

- Smart Minds Mathematics Learner's Book pg. 157
- Classroom shop
- Paper money

- Oral questions - Written exercises - Observation

Measurements

Money - Profit

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

- Define profit in business transactions
- Calculate profit given buying and selling prices
- Show interest in calculating profit

- Role-play shopping activities using classroom shop
- Compare buying price and selling price
- Establish: Profit = Selling price - Buying price

What is profit in business?

- Smart Minds Mathematics Learner's Book pg. 157
- Classroom shop
- Paper money

- Oral questions - Written exercises - Observation

Measurements

Money - Loss

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

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

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

What is loss in business?

- Smart Minds Mathematics Learner's Book pg. 159
- Price tables
- Charts

- Written assignments - Class activities - Oral questions

Measurements

Money - Percentage profit

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

- Define percentage profit
- Calculate percentage profit
- Show confidence in calculating percentage profit

- Draw tables with buying price, selling price and profit
- Work out percentage profit = (Profit ÷ Buying price) × 100%
- Solve problems about shirts, books and goods

How do we calculate percentage profit?

- Smart Minds Mathematics Learner's Book pg. 160
- Tables
- Calculators

- Written exercises - Oral questions - Observation

Measurements

Money - Percentage profit

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

- Define percentage profit
- Calculate percentage profit
- Show confidence in calculating percentage profit

- Draw tables with buying price, selling price and profit
- Work out percentage profit = (Profit ÷ Buying price) × 100%
- Solve problems about shirts, books and goods

How do we calculate percentage profit?

- Smart Minds Mathematics Learner's Book pg. 160
- Tables
- Calculators

- Written exercises - Oral questions - Observation

Measurements

Money - Percentage loss

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

- Written assignments - Class activities - Oral questions

Measurements

Money - Percentage loss

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

- Written assignments - Class activities - Oral questions

Measurements

Money - Percentage loss

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

- Written assignments - Class activities - Oral questions

Measurements

Money - Percentage loss

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

- Written assignments - Class activities - Oral questions

Measurements

Money - Discount

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

- Define discount as reduction from marked price
- Calculate discount given marked price and selling price
- Appreciate the benefit of discounts to buyers

- Read story of Regina bargaining for shoes in shop
- Establish: Discount = Marked price - Selling price
- Solve problems about blouses, blankets and bicycles

What is a discount?

- Smart Minds Mathematics Learner's Book pg. 164
- Price tags
- Charts

- Written exercises - Oral questions - Observation

Measurements

Money - Percentage discount

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

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

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

How do we calculate percentage discount?

- Smart Minds Mathematics Learner's Book pg. 166
- Tables
- Calculators

- Written assignments - Class activities - Oral questions

Measurements

Money - Percentage discount

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

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

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

How do we calculate percentage discount?

- Smart Minds Mathematics Learner's Book pg. 166
- Tables
- Calculators

- Written assignments - Class activities - Oral questions

Measurements

Money - Percentage discount

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

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

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

How do we calculate percentage discount?

- Smart Minds Mathematics Learner's Book pg. 166
- Tables
- Calculators

- Written assignments - Class activities - Oral questions

Measurements

Money - Percentage discount

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

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

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

How do we calculate percentage discount?

- Smart Minds Mathematics Learner's Book pg. 166
- Tables
- Calculators

- Written assignments - Class activities - Oral questions

Measurements

Money - Percentage discount

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

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

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

How do we calculate percentage discount?

- Smart Minds Mathematics Learner's Book pg. 166
- Tables
- Calculators

- Written assignments - Class activities - Oral questions

Measurements

Money - Commission and percentage commission

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

- Define commission as payment for selling goods
- Calculate commission and percentage commission
- Value the role of commission in business

- Read story of Mzee Mambo Leo's motor vehicle firm
- Study table showing Dansam's weekly commission
- Calculate: % Commission = (Commission ÷ Value of goods sold) × 100%

What is commission in business?

- Smart Minds Mathematics Learner's Book pg. 167
- Commission tables
- Calculators

- Written exercises - Oral questions - Observation

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
- Sample bills
- Digital devices
- Smart Minds Mathematics Learner's Book pg. 172
- Bill formats
- Paper money

- 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
- Postal charge tables
- Charts

- 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
- Word puzzles
- Charts

- Written exercises - Oral questions - Observation

Measurements
Geometry

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

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

- Written assignments - Class activities - Oral questions

Geometry

Angles - Angles at a point
Angles - Vertically opposite angles

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

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

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

What is the sum of angles at a point?

- Smart Minds Mathematics Learner's Book pg. 186
- Protractors
- Paper cut-outs
- Smart Minds Mathematics Learner's Book pg. 187
- Scissors

- Written assignments - Class activities - Oral questions

Geometry

Angles - Alternate angles on a transversal
Angles - Corresponding angles on a transversal

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

- Define a transversal
- Identify alternate angles on a transversal
- Value the properties of alternate angles

- Draw two parallel lines and a transversal crossing them
- Mark angles d and f, cut them out using scissors
- Place angle f on top of angle d and compare (alternate angles are equal)

What are alternate angles?

- Smart Minds Mathematics Learner's Book pg. 188
- Rulers
- Scissors
- Smart Minds Mathematics Learner's Book pg. 190
- Scissors, protractors

- Written assignments - Class activities - Oral questions

Geometry

Angles - Co-interior angles on a transversal
Angles - Angles in a parallelogram

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

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

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

What is the sum of co-interior angles?

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

- Written assignments - Class activities - Oral questions

Geometry

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

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

- Identify 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

- Written assignments - Class activities - Oral questions

Geometry

Angles - Exterior angles of polygons

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

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

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

What is the sum of exterior angles of any polygon?

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

- Written assignments - Class activities - Oral questions

Geometry

Geometrical Constructions - Measuring angles
Geometrical Constructions - Bisecting angles
Geometrical Constructions - Constructing 90° 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

- Oral questions - Practical activities - Observation

Geometry

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

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

- Construct an angle of 45° by bisecting 90°
- Verify the constructed angle
- Value accuracy in geometrical constructions

- Draw horizontal line, mark point K
- Construct 90° angle (MKB = 90°)
- Bisect angle MKB: make arcs at S and R, draw arcs to intersect at O, join O to K

How do we construct an angle of 45°?

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

- Written assignments - Practical activities - Oral questions

Geometry

Geometrical Constructions - Constructing 30° angle
Geometrical Constructions - Constructing 120° angle

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

- Written assignments - Practical activities - Oral questions

Geometry

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 angles of 105° and 75°
- Combine construction of 90° and 60° to get 105°
- Value the application of angle constructions

- Draw line MN, mark point T
- Construct 90° angle (NTO = 90°), then construct 60° on other side (angle KTO = 60°)
- Bisect angle KTO to get 30°, thus angle PTN = 90° + 15° = 105°

How do we construct an angle of 105°?

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

- Written assignments - Practical activities - Oral questions

Geometry

Geometrical Constructions - Constructing isosceles triangles

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

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

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

How do we construct an isosceles triangle?

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

- Written assignments - Practical activities - Oral questions

Geometry

Geometrical Constructions - Constructing scalene triangles
Geometrical Constructions - Constructing circles

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

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

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

How do we construct a scalene triangle?

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

- Practical exercises - Oral questions - Observation