Algebra

Algebraic Expressions - Forming algebraic expressions

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

- Define an algebraic expression
- Form algebraic expressions from real-life situations
- Value the use of algebraic expressions in daily life

- Identify similarities and differences in bottle tops
- Group bottle tops based on identified similarities/differences
- Form expressions to represent the total number of bottle tops
- Go around the school compound identifying and grouping objects

How do we form algebraic expressions from real-life situations?

Oxford Active Mathematics pg. 90
- Bottle tops
- Objects in the environment

- Observation - Oral questions - Written assignments

Algebra

Algebraic Expressions - Forming algebraic expressions
Algebraic Expressions - Simplifying algebraic expressions
Algebraic Expressions - Simplifying algebraic expressions

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

- Form algebraic expressions from statements
- Identify terms in algebraic expressions
- Appreciate use of algebraic expressions in real life

- Discuss the scenario of Ochieng's shop stock
- Form expressions for the number of items in the shop
- Share expressions formed with other groups
- Identify terms in the expressions formed

What is an algebraic expression?

Oxford Active Mathematics pg. 91
- Writing materials
Oxford Active Mathematics pg. 92
Oxford Active Mathematics pg. 93
Oxford Active Mathematics pg. 94-95
- Blank cards

- Observation - Oral questions - Written assignments

Algebra

Linear Equations - Forming linear equations
Linear Equations - Forming and simplifying linear equations
Linear Equations - Solving linear equations
Linear Equations - Solving linear equations

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

- Define a linear equation
- Form linear equations in one unknown
- Value the use of linear equations in real life

- Use a beam balance with sand and bottle tops to demonstrate equality
- Form equations that represent the balance
- Analyze Akelo's travel time scenario
- Form equations from word problems

Why do we use linear equations in real life?

Oxford Active Mathematics pg. 97
- Beam balance
- Sand
- Bottle tops
Oxford Active Mathematics pg. 98-99
- Writing materials
Oxford Active Mathematics pg. 100
- Marble
Oxford Active Mathematics pg. 101

- Observation - Oral questions - Written assignments

Algebra

Linear Equations - Solving linear equations
Linear Equations - Application of linear equations

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

- Solve linear equations with brackets
- Solve equations involving fractions
- Value the use of equations in solving problems

- Create word questions involving linear equations
- Form and solve linear equations from word problems
- Discuss steps to solve equations: open brackets, collect like terms, isolate variable
- Apply equation solving to real-life contexts

When do we use linear equations in real life?

Oxford Active Mathematics pg. 102
- Worksheets
Oxford Active Mathematics pg. 103-104
- Geometrical instruments

- Observation - Oral questions - Written tests

Algebra

Linear Inequalities - Inequality symbols

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

- Identify inequality symbols
- Apply inequality symbols to statements
- Value the use of inequality symbols in comparing quantities

- Make inequality cards with symbols
- Measure masses and heights of different objects
- Compare quantities using inequality symbols
- Read statements and use inequality symbols to compare quantities

Why is it necessary to use inequality symbols?

Oxford Active Mathematics pg. 105
- Inequality cards
- Objects
- Tape measure
- Beam balance

- Observation - Oral questions - Written assignments

Algebra

Linear Inequalities - Forming simple linear inequalities

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

- Form simple linear inequalities from statements
- Interpret inequality statements
- Show interest in using inequalities

- Discuss the scenario of antelopes in Ol Donyo Sabuk National Park
- Use inequality symbol to represent "less than 150"
- Form inequality statements from information
- Convert word statements to inequality expressions

How do we represent statements using inequalities?

Oxford Active Mathematics pg. 106
- Writing materials
Oxford Active Mathematics pg. 107

- Observation - Oral questions - Written tests

Algebra

Linear Inequalities - Illustrating simple inequalities
Linear Inequalities - Forming compound inequalities

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

- Draw number lines to represent inequalities
- Illustrate simple inequalities on a number line
- Value the use of number lines in representing inequalities

- Make inequality cards and draw a number line
- Stand on numbers and point to direction of inequality
- Use circles and arrows to show the range of values
- Practice illustrating different inequalities on number lines

How do we illustrate simple linear inequalities on a number line?

Oxford Active Mathematics pg. 108
- Piece of chalk/stick
Oxford Active Mathematics pg. 109-110
- Inequality cards

- Observation - Oral questions - Written assignments

Algebra

Linear Inequalities - Forming compound inequalities
Linear Inequalities - Illustrating compound inequalities

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

- Form compound inequalities from statements
- Solve problems involving compound inequalities
- Appreciate compound inequalities in real life

- Analyze salary range statements: "more than 1,200 but less than 2,500"
- Form compound inequalities from real situations like fare, pitch dimensions
- Practice writing inequalities in the form "lower bound < x < upper bound"
- Create and solve word problems with compound inequalities

When do we use compound inequalities in real life?

Oxford Active Mathematics pg. 111
- Writing materials
Oxford Active Mathematics pg. 112
- Inequality cards
- Piece of chalk/stick

- Observation - Oral questions - Written assignments

Algebra
Measurements
Measurements

Linear Inequalities - Illustrating compound inequalities
Pythagorean Relationship - Sides of a right-angled triangle
Pythagorean Relationship - Deriving Pythagorean relationship

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

- Form compound inequalities from practical situations
- Illustrate the inequalities on number lines
- Appreciate the application of inequalities in real life

- Analyze Maleche's plasticine weighing scenario with beam balances
- Form inequalities for each weighing and combine them
- Draw number lines to illustrate the compound inequalities
- Relate unbalanced beam balances to inequalities

How do we apply compound inequalities to real-life situations?

Oxford Active Mathematics pg. 113-114
- Blank cards
- Oxford Active Mathematics 7
- Page 116
- Squared paper
- Ruler
- Ladder or long stick
- Page 117
- Squared or graph paper

- Observation - Oral questions - Written assignments

Measurements

Pythagorean Relationship - Working with Pythagorean relationship
Pythagorean Relationship - Applications of Pythagorean relationship
Length - Conversion of units of length
Length - Addition and subtraction of length

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

- Apply Pythagorean relationship to calculate lengths of sides of right-angled triangles
- Verify whether a triangle is right-angled using the Pythagorean relationship
- Value the application of Pythagorean relationship in solving problems

- Identify right-angled triangles from given measurements
- Calculate the length of the third side of a right-angled triangle when two sides are given
- Verify whether given measurements can form a right-angled triangle

Why do we learn about the Pythagorean relationship?

- Oxford Active Mathematics 7
- Page 118
- Squared or graph paper
- Ruler
- Calculator
- Page 119
- Metre rule
- Tape measure
- Page 122
- One-metre stick or string
- Ruler or metre rule
- Page 125
- Conversion tables of units of length

- Written work - Oral questions - Class activities

Measurements

Length - Multiplication and division of length
Length - Perimeter of plane figures
Length - Circumference of circles

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

- Multiply length by whole numbers
- Divide length by whole numbers
- Appreciate the use of multiplication and division of length in daily life

- Multiply lengths in different units by whole numbers
- Divide lengths in different units by whole numbers
- Relate multiplication and division of length to real-life situations

Where do we use multiplication and division of length in real life?

- Oxford Active Mathematics 7
- Page 126
- Writing materials
- Page 128
- Paper cut-outs
- Ruler
- String
- Page 130
- Set square
- Circular objects

- Written work - Observation - Class activities

Measurements

Length - Applications of length
Area - Square metre, acres and hectares

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

- Apply perimeter and circumference in real life situations
- Solve problems involving perimeter and circumference
- Value the application of length measurements in solving problems

- Identify real-life situations where perimeter and circumference are used
- Work out problems involving fencing, binding edges, and circular objects
- Discuss the application of perimeter and circumference in agriculture, construction and other fields

How do we use measurements of length in daily activities?

- Oxford Active Mathematics 7
- Page 132
- Measuring tools
- Models of different shapes
- Page 135
- 1 m sticks
- Ruler
- Pieces of string or masking tape

- Oral questions - Written assignments - Class activities

Measurements

Area - Area of rectangle and parallelogram
Area - Area of a rhombus

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

- Work out the area of a rectangle
- Work out the area of a parallelogram
- Appreciate the use of area in real life situations

- Create rectangles and parallelograms using sticks and strings
- Establish the formula for area of rectangle as length × width
- Transform a rectangle to a parallelogram to establish that area of a parallelogram = base × height

How do we calculate the area of a rectangle and a parallelogram?

- Oxford Active Mathematics 7
- Page 137
- Pieces of string or masking tape
- Sticks
- Paper
- Scissors
- Page 139
- Four pieces of stick of equal length

- Observation - Written assignments - Class activities

Measurements

Area - Area of a trapezium
Area - Area of a circle

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

- Define a trapezium as a quadrilateral with one pair of parallel sides
- Calculate the area of a trapezium
- Value the concept of area in problem-solving

- Draw and cut out trapezium shapes
- Arrange two identical trapeziums to form a parallelogram
- Derive the formula for the area of a trapezium as half the sum of parallel sides times the height

How do we calculate the area of a trapezium?

- Oxford Active Mathematics 7
- Page 141
- Ruler
- Pieces of paper
- Pair of scissors
- Page 143
- Pair of compasses

- Observation - Written assignments - Class activities

Measurements

Area - Area of borders
Area - Area of combined shapes

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

- Define a border as the region between two shapes
- Calculate the area of borders
- Value the application of area of borders in real life

- Create borders by placing one shape inside another
- Calculate the area of a border by subtracting the area of the inner shape from the area of the outer shape
- Solve real-life problems involving borders

How do we calculate the area of a border?

- Oxford Active Mathematics 7
- Page 144
- Pair of scissors
- Pieces of paper
- Ruler
- Page 146

- Observation - Written assignments - Class activities

Measurements

Area - Applications of area
Volume and Capacity - Cubic metre as unit of volume

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

- Apply formulas for areas of different shapes in real life situations
- Solve problems involving area
- Recognise use of area in real life situations

- Discuss the application of area in different fields such as construction, agriculture, and interior design
- Calculate areas of various shapes in real-life contexts
- Solve problems involving area measurements

Where do we apply area measurements in real life?

- Oxford Active Mathematics 7
- Page 147
- Chart showing area formulas
- Calculator
- Page 149
- Twelve sticks of length 1 m each
- Old pieces of paper
- Pair of scissors
- Ruler

- Oral questions - Written assignments - Class activities

Measurements

Volume and Capacity - Conversion of cubic metres to cubic centimetres

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

- Convert volume from cubic metres to cubic centimetres
- Relate cubic metres to cubic centimetres
- Show interest in converting units of volume

- Measure dimensions of a cube in metres and calculate its volume in cubic metres
- Measure the same cube in centimetres and calculate its volume in cubic centimetres
- Establish the relationship between cubic metres and cubic centimetres (1m³ = 1,000,000cm³)

How do we convert volume in cubic metres to cubic centimetres?

- Oxford Active Mathematics 7
- Page 150
- A cube whose sides measure 1 m
- Ruler

- Observation - Oral questions - Written work

Measurements

Volume and Capacity - Conversion of cubic centimetres to cubic metres
Volume and Capacity - Volume of cubes and cuboids

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

- Convert volume from cubic centimetres to cubic metres
- Solve problems involving conversion of units of volume
- Value the importance of converting units of volume

- Measure dimensions of various objects in centimetres and calculate their volumes in cubic centimetres
- Convert the volumes from cubic centimetres to cubic metres
- Establish that to convert from cubic centimetres to cubic metres, divide by 1,000,000

How do we convert volume in cubic centimetres to cubic metres?

- Oxford Active Mathematics 7
- Page 152
- Ruler or tape measure
- Calculator
- Page 153
- Clay or plasticine
- Ruler
- Mathematics textbooks

- Observation - Oral questions - Written work

Measurements

Volume and Capacity - Volume of a cylinder
Volume and Capacity - Relationship between cubic measurements and litres

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

- Identify the cross-section of a cylinder as a circle
- Calculate the volume of a cylinder
- Show interest in calculating volumes of cylinders

- Make a pile of coins of the same denomination
- Identify the cross-section of the pile as a circle
- Establish that volume of a cylinder = πr²h
- Calculate volumes of various cylinders

How do we work out the volume of a cylinder?

- Oxford Active Mathematics 7
- Page 155
- Kenyan coins of the same denomination
- Circular objects
- Calculator
- Page 156
- A cube whose sides measure 10 cm
- Container
- Basin
- Graduated cylinder

- Observation - Written assignments - Class activities

Measurements

Volume and Capacity - Relating volume to capacity
Volume and Capacity - Working out capacity of containers

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

- Relate volume to capacity
- Convert between volume and capacity
- Show interest in the relationship between volume and capacity

- Calculate the volume of various containers
- Use bottles to fill the containers with water
- Count the number of bottles needed to fill each container
- Compare the volume of containers with their capacity

How is volume related to capacity?

- Oxford Active Mathematics 7
- Page 157
- Bottles with capacities labelled on them
- Containers of different sizes
- Page 158

- Observation - Oral questions - Written work

Measurements

Time, Distance and Speed - Units of measuring time
Time, Distance and Speed - Conversion of units of time

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

- Identify units of measuring time
- Read time on analogue and digital clocks
- Appreciate the importance of time in daily activities

- Read time on different types of clocks
- Identify units of time (hours, minutes, seconds)
- Discuss the importance of time management

In which units can we express time?

- Oxford Active Mathematics 7
- Page 160
- Analogue and digital clocks
- Page 161
- Conversion tables of units of time

- Observation - Oral questions - Written work

Measurements

Time, Distance and Speed - Conversion of units of distance
Time, Distance and Speed - Identification of speed

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

- Convert distance from one unit to another
- Apply conversion of distance in real life situations
- Appreciate the importance of converting units of distance

- Estimate distances between places in kilometres
- Convert distances from kilometres to metres and vice versa
- Create conversion tables for units of distance

How do we convert distance from one unit to another?

- Oxford Active Mathematics 7
- Page 162
- Conversion tables of units of distance
- Page 163
- Stopwatch
- Metre stick

- Observation - Oral questions - Written work

Measurements

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

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

- Calculate speed in metres per second (m/s)
- Apply the formula for speed in real life situations
- Value the importance of speed in daily activities

- Measure distances in metres
- Record time taken to cover the distances in seconds
- Calculate speed by dividing distance by time
- Express speed in metres per second

Which steps do you follow in order to calculate speed in metres per second?

- Oxford Active Mathematics 7
- Page 164
- Stopwatch
- Metre stick
- Calculator
- Page 165
- Charts showing distances between locations

- Observation - Written assignments - Class activities

Measurements

Time, Distance and Speed - Conversion of speed from km/h to m/s
Time, Distance and Speed - Conversion of units of speed from m/s to km/h

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

- Convert speed from km/h to m/s
- Apply conversion of speed in real life situations
- Show interest in converting units of speed

- Convert distance from kilometres to metres
- Convert time from hours to seconds
- Apply the relationship: 1 km/h = 1000 m ÷ 3600 s = 5/18 m/s
- Solve problems involving conversion of speed from km/h to m/s

How do we convert speed in kilometres per hour to metres per second?

- Oxford Active Mathematics 7
- Page 166
- Calculator
- Conversion charts
- Page 168

- Observation - Written assignments - Class activities

Measurements

Temperature - Measuring temperature
Temperature - Comparing temperature

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

- Describe the temperature conditions of the immediate environment
- Measure temperature using a thermometer
- Value the importance of measuring temperature

- Observe and discuss temperature conditions in the environment (warm, hot, cold)
- Use a thermometer to measure temperature
- Record temperature readings in degrees Celsius

How do we measure temperature?

- Oxford Active Mathematics 7
- Page 170
- Thermometer or thermogun
- Page 171
- Thermometer
- Various substances to test temperature

- Observation - Oral questions - Written work

Measurements

Temperature - Units of measuring temperature

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

- Identify units of measuring temperature as degree Celsius and Kelvin
- Appreciate the use of standard units in measuring temperature
- Show interest in temperature measurement

- Discuss the Celsius and Kelvin scales
- Measure temperatures using a thermometer
- Record temperature readings in degrees Celsius
- Discuss absolute zero and the Kelvin scale

In which units do we measure temperature?

- Oxford Active Mathematics 7
- Page 172
- Thermometer
- Temperature charts

- Observation - Oral questions - Written work

Measurements

Temperature - Conversion from degrees Celsius to Kelvin
Temperature - Conversion from Kelvin to degrees Celsius

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

- Convert temperature from degrees Celsius to Kelvin
- Apply the formula for conversion
- Appreciate the importance of converting units of temperature

- Measure temperatures in degrees Celsius
- Convert the temperatures to Kelvin using the formula K = °C + 273
- Create conversion tables for temperature

How do we convert temperature from degrees Celsius to Kelvin?

- Oxford Active Mathematics 7
- Page 173
- Thermometer
- Ice or very cold water
- Calculator
- Page 174
- Writing materials

- Observation - Written assignments - Class activities

Measurements

Temperature - Working out temperature
Money - Profit and loss

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

- Calculate temperature changes
- Work out temperature in degrees Celsius and Kelvin
- Appreciate temperature changes in the environment

- Record temperatures at different times of the day
- Calculate temperature differences
- Solve problems involving temperature changes
- Convert temperature changes between Celsius and Kelvin

How do we work out temperature in degrees Celsius and in Kelvin?

- Oxford Active Mathematics 7
- Page 175
- Temperature data
- Calculator
- Page 176
- Imitation items
- Imitation money

- Observation - Written assignments - Class activities

Measurements

Money - Percentage profit and loss
Money - Discount

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

- Calculate percentage profit and loss
- Apply percentage profit and loss in real life situations
- Value the importance of calculating percentage profit and loss

- Express profit or loss as a fraction of the buying price
- Convert the fraction to percentage
- Calculate percentage profit and loss in various scenarios
- Solve problems involving percentage profit and loss

How do we calculate percentage profit and percentage loss?

- Oxford Active Mathematics 7
- Page 179
- Worksheets
- Calculator
- Page 181
- Writing materials
- Shop price lists

- Observation - Written assignments - Class activities

Measurements

Money - Percentage discount
Money - Commission

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

- Calculate percentage discount
- Apply percentage discount in real life situations
- Show interest in percentage discount calculations

- Express discount as a fraction of the marked price
- Convert the fraction to percentage
- Calculate percentage discount in various scenarios
- Solve problems involving percentage discount

How do we calculate percentage discount?

- Oxford Active Mathematics 7
- Page 182
- Worksheets
- Calculator
- Page 184
- Writing materials

- Observation - Written assignments - Class activities

Measurements

Money - Percentage commission
Money - Bills at home

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

- Calculate percentage commission
- Apply percentage commission in real life situations
- Value the concept of percentage commission

- Express commission as a fraction of the value of sales
- Convert the fraction to percentage
- Calculate percentage commission in various scenarios
- Solve problems involving percentage commission

How do we calculate percentage commission?

- Oxford Active Mathematics 7
- Page 186
- Writing materials
- Calculator
- Page 187
- Sample bills

- Observation - Written assignments - Class activities

Measurements

Money - Preparing bills
Money - Postal charges

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

- Prepare bills for goods and services
- Apply bill preparation in real life situations
- Show interest in preparing bills

- Role-play seller and buyer scenarios
- Prepare bills for goods and services
- Include necessary details in bills (items, quantities, unit prices, totals)

How do we prepare bills?

- Oxford Active Mathematics 7
- Page 188
- Samples of shopping bills
- Imitation money
- Page 190
- Inland postal charges tables
- Writing materials

- Observation - Written assignments - Class activities

Measurements

Money - International postal charges
Money - Mobile money services
Money - Mobile money transactions

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

- Distinguish between inland and international postal services
- Calculate international postal charges
- Value the importance of international postal services

- Study tables showing international postal charges
- Calculate charges for sending items to different countries
- Compare charges for different methods of sending items internationally

How do we calculate charges to send items to other countries?

- Oxford Active Mathematics 7
- Page 192
- International postal charges tables
- Writing materials
- Page 198
- Charts showing mobile money charges
- Page 199
- Mobile money transaction charges charts

- Observation - Written assignments - Class activities