Measurements

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:

- Recognize the sides of a right-angled triangle in different situations
- Identify the hypotenuse, base and height of a right-angled triangle
- Show interest in learning about right-angled triangles

- Draw and represent practical cases of right-angled triangles such as a ladder leaning against a wall
- Identify the sides of the triangle formed as hypotenuse, height and base
- Measure the length of sides of right-angled triangles

How do we identify sides of a right-angled triangle?

- Oxford Active Mathematics 7
- Page 116
- Squared paper
- Ruler
- Ladder or long stick
- Page 117
- Squared or graph paper

- Observation - Oral questions - Practical activities

Measurements

Pythagorean Relationship - Working with Pythagorean relationship
Pythagorean Relationship - Applications of Pythagorean relationship

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

- Written work - Oral questions - Class activities

Measurements

Length - Conversion of units of length
Length - Addition and subtraction of length

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

- Convert units of length from one form to another involving cm, dm, m, Dm, Hm
- Arrange units of length in ascending and descending order
- Appreciate the importance of converting units of length

- Measure different lengths using various units
- Create conversion tables for units of length
- Perform conversions between different units of length
- Arrange units of length in ascending and descending order

What is the relationship between different units of length?

- Oxford Active Mathematics 7
- Page 122
- One-metre stick or string
- Ruler or metre rule
- Page 125
- Conversion tables of units of length

- Observation - Oral questions - Written work

Measurements

Length - Multiplication and division of length

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

- Written work - Observation - Class activities

Measurements

Length - Perimeter of plane figures
Length - Circumference of circles

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

- Define perimeter as the distance around a plane figure
- Calculate the perimeter of plane figures
- Appreciate the concept of perimeter in daily activities

- Make paper cut-outs of different plane figures
- Measure the distance around each shape using string and ruler
- Add the lengths of the sides to find perimeter
- Work out the perimeter of various plane figures including squares, rectangles and irregular shapes

How do we determine the perimeter of a shape?

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

- Observation - Written assignments - Class activities

Measurements

Length - Applications of length

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

- Oral questions - Written assignments - Class activities

Measurements

Area - Square metre, acres and hectares

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

- Identify square metre (m²), acres and hectares as units of measuring area
- Convert between square metres, acres and hectares
- Appreciate different units of measuring area

- Join four 1 m sticks to make a square
- Determine the area of a square metre
- Convert between square metres, acres, and hectares
- Identify real-life applications of different units of area

How big is a square metre as a unit of measuring area?

- Oxford Active Mathematics 7
- Page 135
- 1 m sticks
- Ruler
- Pieces of string or masking tape

- Observation - Oral questions - Written work

Measurements

Area - Area of rectangle and parallelogram

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

- Observation - Written assignments - Class activities

Measurements

Area - Area of a rhombus

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

- Define a rhombus as a special parallelogram with all sides equal
- Calculate the area of a rhombus
- Show interest in learning about rhombuses

- Create a rhombus from a square by manipulating the vertices
- Establish two methods for calculating the area of a rhombus: base × height and half the product of diagonals
- Measure diagonals of rhombuses and calculate their areas

How do we calculate the area of a rhombus?

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

- Observation - Written assignments - Class activities

Measurements

Area - Area of a rhombus

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

- Define a rhombus as a special parallelogram with all sides equal
- Calculate the area of a rhombus
- Show interest in learning about rhombuses

- Create a rhombus from a square by manipulating the vertices
- Establish two methods for calculating the area of a rhombus: base × height and half the product of diagonals
- Measure diagonals of rhombuses and calculate their areas

How do we calculate the area of a rhombus?

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

- Observation - Written assignments - Class activities

Measurements

Area - Area of a trapezium

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

- Observation - Written assignments - Class activities

Measurements

Area - Area of a circle

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

- Work out the area of circles
- Derive the formula for the area of a circle
- Appreciate the importance of calculating areas of circles

- Draw a circle and divide it into sectors
- Rearrange the sectors to form a shape resembling a rectangle
- Derive the formula for the area of a circle as πr²
- Calculate areas of circles with different radii

How do we calculate the area of a circle?

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

- Observation - Written assignments - Class activities

Measurements

Area - Area of borders

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

- Observation - Written assignments - Class activities

Measurements

Area - Area of combined shapes

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

- Identify combined shapes in the environment
- Calculate the area of combined shapes
- Appreciate the use of area of combined shapes in real life situations

- Cut out different shapes and combine them to make patterns
- Divide combined shapes into regular shapes
- Calculate the area of each part separately and add them up
- Solve real-life problems involving combined shapes

How do we work out the area of combined shapes?

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

- Observation - Written assignments - Class activities

Measurements

Area - Applications of area

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

- Oral questions - Written assignments - Class activities

Measurements

Volume and Capacity - Cubic metre as unit of volume

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

- Identify cubic metre (m³) as a unit of volume
- Construct a model of a cubic metre
- Appreciate the cubic metre as a standard unit of volume

- Join twelve sticks of length 1 m each to form a cube
- Cover the cube with paper to make a closed cube
- Discuss the volume of a cubic metre (1m × 1m × 1m = 1m³)
- Identify real-life applications of cubic metres

How do we use cubic metre to work out volume?

- Oxford Active Mathematics 7
- Page 149
- Twelve sticks of length 1 m each
- Old pieces of paper
- Pair of scissors
- Ruler

- Observation - Oral questions - 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 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

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

- Observation - Oral questions - Written work

Measurements

Volume and Capacity - Volume of cubes and cuboids

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

- Calculate the volume of cubes
- Calculate the volume of cuboids
- Appreciate the use of volume in real life situations

- Create models of cubes and cuboids using clay or plasticine
- Measure the dimensions of the models
- Establish that volume = length × width × height
- Calculate volumes of various cubes and cuboids

How do we calculate the volume of cubes and cuboids?

- Oxford Active Mathematics 7
- Page 153
- Clay or plasticine
- Ruler
- Mathematics textbooks

- Observation - Written assignments - Class activities

Measurements

Volume and Capacity - Volume of a cylinder

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

- Observation - Written assignments - Class activities

Measurements

Volume and Capacity - Relationship between cubic measurements and litres

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

- Identify the relationship between cm³, m³ and litres
- Convert between units of volume and capacity
- Value the relationship between volume and capacity

- Fill a container with water and place it inside a basin
- Lower a cube of known volume into the water
- Measure the volume of water displaced
- Establish that 1,000 cm³ = 1 litre and 1 m³ = 1,000 litres

How many litres is one cubic metre?

- Oxford Active Mathematics 7
- Page 156
- A cube whose sides measure 10 cm
- Container
- Basin
- Graduated cylinder

- Observation - Oral questions - Written work

Measurements

Volume and Capacity - Relating volume to capacity

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

- Observation - Oral questions - Written work

Measurements

Volume and Capacity - Working out capacity of containers

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

- Define capacity as the maximum amount of liquid a container can hold
- Calculate the capacity of containers
- Appreciate use of volume and capacity in real life situations

- Calculate the volume of different containers
- Convert the volume to capacity in litres
- Solve problems involving capacity of tanks, pipes, and other containers

How do we work out the capacity of a container?

- Oxford Active Mathematics 7
- Page 158
- Containers of different sizes

- Observation - Written assignments - Class activities

Measurements

Time, Distance and Speed - Units of measuring 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

- Observation - Oral questions - Written work

Measurements

Time, Distance and Speed - Conversion of units of time

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

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

- Create conversion tables for units of time
- Convert between hours, minutes, and seconds
- Solve problems involving conversion of time

How do we convert units of time?

- Oxford Active Mathematics 7
- Page 161
- Conversion tables of units of time

- Observation - Oral questions - Written work

Measurements

Time, Distance and Speed - Conversion of units of time

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

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

- Create conversion tables for units of time
- Convert between hours, minutes, and seconds
- Solve problems involving conversion of time

How do we convert units of time?

- Oxford Active Mathematics 7
- Page 161
- Conversion tables of units of time

- Observation - Oral questions - Written work

Measurements

Time, Distance and Speed - Conversion of units of distance

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

- Observation - Oral questions - Written work

Measurements

Time, Distance and Speed - Identification of speed

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

- Identify speed as distance covered per unit time
- Compare speeds of different objects or persons
- Show interest in the concept of speed

- Organize races over measured distances
- Record the time taken by each participant
- Calculate the distance covered in one second
- Discuss the concept of speed as distance covered per unit time

What do you think are the units of measuring speed?

- Oxford Active Mathematics 7
- Page 163
- Stopwatch
- Metre stick

- Observation - Oral questions - Class activities

Measurements

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

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

- Observation - Written assignments - Class activities

Measurements

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 kilometres per hour (km/h)
- Apply the formula for speed in real life situations
- Appreciate the concept of speed in daily life

- Examine signboards showing distances between destinations
- Calculate speed by dividing distance in kilometres by time in hours
- Solve problems involving speed in km/h

Why is speed an important measurement in our daily lives?

- Oxford Active Mathematics 7
- Page 165
- Charts showing distances between locations
- Calculator

- Observation - Written assignments - Class activities

Measurements

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

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

- Observation - Written assignments - Class activities

Measurements

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 m/s to km/h
- Apply conversion of speed in real life situations
- Appreciate the importance of converting units of speed

- Convert distance from metres to kilometres
- Convert time from seconds to hours
- Apply the relationship: 1 m/s = 3.6 km/h
- Solve problems involving conversion of speed from m/s to km/h

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

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

- Observation - Written assignments - Class activities

Measurements

Temperature - Measuring 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

- Observation - Oral questions - Written work

Measurements

Temperature - Measuring 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

- Observation - Oral questions - Written work

Measurements

Temperature - Comparing temperature

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

- Compare temperature using hotter, warmer, colder and same as
- Measure temperature of different substances
- Show interest in temperature changes

- Measure temperatures of different substances
- Compare temperatures using terms like hotter, warmer, colder
- Discuss how temperature affects daily activities

How does temperature affect our everyday lives?

- Oxford Active Mathematics 7
- 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

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

- Observation - Written assignments - Class activities

Measurements

Temperature - Conversion from Kelvin to degrees Celsius

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

- Convert temperature from Kelvin to degrees Celsius
- Apply the formula for conversion
- Value the relationship between Kelvin and Celsius scales

- Convert temperatures from Kelvin to degrees Celsius using the formula °C = K - 273
- Create conversion tables for temperature
- Solve problems involving temperature conversion

How do we convert temperature from Kelvin to degrees Celsius?

- Oxford Active Mathematics 7
- Page 174
- Writing materials
- Calculator

- Observation - Written assignments - Class activities

Measurements

Temperature - Working out temperature

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

- Observation - Written assignments - Class activities

Geometry

Angles on a straight line

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

- Identify angles on a straight line
- Relate angles on a straight line
- Show interest in working out angles on a straight line

- Learners identify different objects from the environment with angles on a straight line
- Learners draw a straight line and make angles with it
- Learners measure the angles they have drawn and relate them

How are angles on a straight line related to each other?

- Oxford Active Mathematics pg. 206
- Protractors
- Rulers
- Straight edges
- Charts showing angles on a straight line
- Digital resources with angle demonstrations
- Oxford Active Mathematics pg. 207
- Unit angles
- Worksheets with angle problems
- Objects with angles from the environment
- Online angle calculators

- Observation - Oral questions - Written assignments

Geometry

Angles at a point

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

- Identify angles at a point
- Relate angles at a point
- Show interest in angles at a point

- Learners draw lines meeting at a point
- Learners measure the angles formed and discuss how they relate
- Learners identify that angles at a point add up to 360°

How are angles at a point related to each other?

- Oxford Active Mathematics pg. 208
- Protractors
- Rulers
- Angle charts showing angles at a point
- Digital devices for angle demonstrations
- Cut-out models of angles at a point
- Oxford Active Mathematics pg. 209
- Worksheets with problems involving angles at a point
- Geometrical models
- Videos on angles at a point

- Observation - Oral questions - Written assignments

Geometry

Alternate angles

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

- Identify alternate angles
- Determine the values of alternate angles
- Show interest in working with alternate angles

- Learners draw parallel lines and a transversal
- Learners mark and measure angles formed
- Learners identify and discuss alternate angles

What are alternate angles?

- Oxford Active Mathematics pg. 210
- Protractors
- Rulers
- Parallel line models
- Charts showing alternate angles
- Digital resources with angle demonstrations
- Colored pencils to mark angles

- Observation - Oral questions - Written assignments

Geometry

Corresponding angles
Co-interior angles

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

- Identify corresponding angles
- Determine the values of corresponding angles
- Show interest in working with corresponding angles

- Learners draw parallel lines and a transversal
- Learners mark and measure angles formed
- Learners identify and discuss corresponding angles

What are corresponding angles?

- Oxford Active Mathematics pg. 211
- Protractors
- Rulers
- Parallel line models
- Charts showing corresponding angles
- Worksheets with corresponding angle problems
- Colored pencils
- Oxford Active Mathematics pg. 212
- Charts showing co-interior angles
- Digital resources with angle demonstrations
- Worksheets with angle problems

- Written tests - Oral questions - Class activities

Geometry

Angles in a parallelogram
Angle properties of polygons

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

- Identify angles in a parallelogram
- Determine the values of angles in a parallelogram
- Show interest in working with parallelograms

- Learners draw a parallelogram and measure its angles
- Learners discuss the relationships between angles in a parallelogram
- Learners identify that opposite angles are equal

What is the sum of angles in a parallelogram?

- Oxford Active Mathematics pg. 213
- Protractors
- Rulers
- Parallelogram models
- Cardboard cut-outs of parallelograms
- Worksheets with problems involving parallelograms
- Digital devices for demonstrations
- Oxford Active Mathematics pg. 214
- Cut-outs of different polygons
- Charts showing polygon properties
- Worksheets with polygon problems
- Digital resources with polygon demonstrations

- Written tests - Oral questions - Class activities

Geometry

Exterior angles of a polygon

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

- Identify exterior angles of a polygon
- Determine the sum of exterior angles in a polygon
- Show interest in exterior angles of polygons

- Learners draw different polygons
- Learners identify and measure exterior angles of polygons
- Learners discover the sum of exterior angles is always 360°

What is the sum of exterior angles of a polygon?

- Oxford Active Mathematics pg. 215
- Protractors
- Rulers
- Cut-outs of different polygons
- Charts showing exterior angles
- Worksheets with polygon problems
- Digital resources with polygon demonstrations

- Written tests - Oral questions - Class activities

Geometry

Measuring angles

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

- Identify different types of angles
- Measure angles using a protractor
- Appreciate the importance of measuring angles accurately

- Learners draw different types of angles
- Learners measure angles using a protractor
- Learners practice measuring various angles

How do we measure angles?

- Oxford Active Mathematics pg. 220
- Protractors
- Rulers
- Angle charts
- Worksheets with different types of angles
- Digital angle measuring apps
- Objects with angles from the environment

- Observation - Oral questions - Written assignments

Geometry

Measuring angles

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

- Identify different types of angles
- Measure angles using a protractor
- Appreciate the importance of measuring angles accurately

- Learners draw different types of angles
- Learners measure angles using a protractor
- Learners practice measuring various angles

How do we measure angles?

- Oxford Active Mathematics pg. 220
- Protractors
- Rulers
- Angle charts
- Worksheets with different types of angles
- Digital angle measuring apps
- Objects with angles from the environment

- Observation - Oral questions - Written assignments

Geometry

Bisecting angles

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

- Understand the concept of angle bisection
- Bisect angles using a ruler and compass
- Show interest in bisecting angles

- Learners draw angles of various sizes
- Learners use a ruler and compass to bisect angles
- Learners verify bisection by measuring the resulting angles

Which steps do we follow to bisect an angle?

- Oxford Active Mathematics pg. 221
- Protractors
- Rulers
- Pair of compasses
- Charts showing angle bisection steps
- Videos demonstrating angle bisection
- Worksheets with angles to bisect

- Written tests - Oral questions - Class activities

Geometry

Constructing 90° and 45°

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

- Construct 90° using a ruler and compass
- Construct 45° using a ruler and compass
- Show interest in geometric constructions

- Learners draw a straight line and mark a point on it
- Learners construct 90° using a ruler and compass
- Learners bisect 90° to obtain 45°

How do we construct 90° and 45° angles?

- Oxford Active Mathematics pg. 222
- Rulers
- Pair of compasses
- Protractors for verification
- Charts showing construction steps
- Videos demonstrating angle construction
- Construction worksheets

- Observation - Oral questions - Written assignments

Geometry

Constructing 60° and 30°

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

- Construct 60° using a ruler and compass
- Construct 30° using a ruler and compass
- Appreciate the precision of geometric constructions

- Learners draw a straight line and mark a point on it
- Learners construct 60° using a ruler and compass
- Learners bisect 60° to obtain 30°

Which steps do we follow to construct 60° and 30°?

- Oxford Active Mathematics pg. 223
- Rulers
- Pair of compasses
- Protractors for verification
- Charts showing construction steps
- Videos demonstrating angle construction
- Construction worksheets

- Written tests - Oral questions - Class activities

Geometry

Constructing 120°

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

- Construct 120° using a ruler and compass
- Apply construction skills in different contexts
- Show interest in angle constructions

- Learners draw a straight line
- Learners construct 60° twice to obtain 120°
- Learners verify the construction by measuring the angle

Which steps do we follow to construct 120°?

- Oxford Active Mathematics pg. 224
- Rulers
- Pair of compasses
- Protractors for verification
- Charts showing construction steps
- Videos demonstrating 120° construction
- Construction worksheets

- Observation - Oral questions - Written assignments

Geometry

Constructing 150°

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

- Construct 150° using a ruler and compass
- Apply construction skills in different contexts
- Show interest in angle constructions

- Learners draw a straight line
- Learners construct 30° and identify that the adjacent angle is 150°
- Learners verify the construction by measuring the angle

Which steps do we follow to construct 150°?

- Oxford Active Mathematics pg. 225
- Rulers
- Pair of compasses
- Protractors for verification
- Charts showing construction steps
- Videos demonstrating 150° construction
- Construction worksheets

- Written tests - Oral questions - Class activities

Geometry

Constructing 75° and 105°

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

- Construct 75° using a ruler and compass
- Construct 105° using a ruler and compass
- Show interest in angle constructions

- Learners construct 90° and 60° within it
- Learners bisect 30° to obtain 75°
- Learners identify that the adjacent angle to 75° is 105°

How do we construct 75° and 105°?

- Oxford Active Mathematics pg. 226
- Rulers
- Pair of compasses
- Protractors for verification
- Charts showing construction steps
- Videos demonstrating angle construction
- Construction worksheets

- Observation - Oral questions - Written assignments

Geometry

Constructing multiples of 7.5°

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

- Construct angles that are multiples of 7.5°
- Apply construction skills in different contexts
- Appreciate the precision of geometric constructions

- Learners construct 15° by bisecting 30°
- Learners bisect 15° to obtain 7.5°
- Learners practice constructing various multiples of 7.5°

How do we construct angles that are multiples of 7.5°?

- Oxford Active Mathematics pg. 226
- Rulers
- Pair of compasses
- Protractors for verification
- Charts showing construction steps
- Videos demonstrating angle construction
- Construction worksheets

- Written tests - Oral questions - Class activities

Geometry

Constructing equilateral triangles

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

- Identify properties of an equilateral triangle
- Construct an equilateral triangle using a ruler and compass
- Show interest in constructing triangles

- Learners draw a straight line of given length
- Learners use a compass to mark arcs
- Learners join points to form an equilateral triangle

How do we construct an equilateral triangle?

- Oxford Active Mathematics pg. 227
- Rulers
- Pair of compasses
- Protractors for verification
- Cut-outs of equilateral triangles
- Charts showing construction steps
- Videos demonstrating triangle construction
- Construction worksheets

- Observation - Oral questions - Written assignments

Geometry

Constructing equilateral triangles

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

- Identify properties of an equilateral triangle
- Construct an equilateral triangle using a ruler and compass
- Show interest in constructing triangles

- Learners draw a straight line of given length
- Learners use a compass to mark arcs
- Learners join points to form an equilateral triangle

How do we construct an equilateral triangle?

- Oxford Active Mathematics pg. 227
- Rulers
- Pair of compasses
- Protractors for verification
- Cut-outs of equilateral triangles
- Charts showing construction steps
- Videos demonstrating triangle construction
- Construction worksheets

- Observation - Oral questions - Written assignments

Geometry

Constructing isosceles triangles

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

- Identify properties of an isosceles triangle
- Construct an isosceles triangle using a ruler and compass
- Appreciate geometric constructions

- Learners draw a straight line of given length
- Learners use a compass to mark arcs of equal radius
- Learners join points to form an isosceles triangle

How do we construct an isosceles triangle?

- Oxford Active Mathematics pg. 228
- Rulers
- Pair of compasses
- Protractors for verification
- Cut-outs of isosceles triangles
- Charts showing construction steps
- Videos demonstrating triangle construction
- Construction worksheets

- Written tests - Oral questions - Class activities

Geometry

Constructing right-angled triangles

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

- Identify properties of a right-angled triangle
- Construct a right-angled triangle using a ruler and compass
- Show interest in triangle constructions

- Learners draw a straight line
- Learners construct a 90° angle
- Learners complete the triangle by joining points

How do we construct a right-angled triangle?

- Oxford Active Mathematics pg. 229
- Rulers
- Pair of compasses
- Protractors for verification
- Cut-outs of right-angled triangles
- Charts showing construction steps
- Videos demonstrating triangle construction
- Construction worksheets

- Observation - Oral questions - Written assignments

Geometry

Constructing circles

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

- Identify elements of a circle
- Construct circles using a compass
- Appreciate the application of circles in real life

- Learners use strings and sticks to construct circles outdoors
- Learners use a compass to draw circles of given radius
- Learners identify radius and diameter of circles

How do we construct circles?

- Oxford Active Mathematics pg. 231
- Pair of compasses
- Rulers
- String and sticks for outdoor activities
- Circular objects of different sizes
- Charts showing circle elements
- Videos demonstrating circle construction
- Construction worksheets

- Written tests - Oral questions - Class activities