Numbers

Fractions - Word problems involving fractions

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

- Interpret word problems involving fractions
- Solve complex fraction problems systematically
- Value accuracy in solving fraction problems

- Work through word problems involving fractions
- Practice translating words into mathematical operations
- Solve problems involving measurements and quantities

How do we translate word problems into fraction operations?

- Master Mathematics Grade 8, pg. 10
- Word problem cards
- Fraction charts
- Measuring tools

- Written tests - Problem-solving - Oral presentations

Numbers

Fractions - Games and IT activities on fractions

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

- Describe different games involving fractions
- Use IT devices for learning operations on fractions and play games
- Enjoy learning about fractions

- Play games of operations on fractions using IT devices or other resources
- Engage in drag and drop activities online
- Use fraction apps for practice

How can we make learning fractions more interesting?

- Master Mathematics Grade 8, pg. 11
- Tablets/computers
- Internet access
- Fraction games

- Observation - Game performance - Digital assessment

Numbers

Fractions - Mixed practice on combined operations
Fractions - Application and reflection

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

- Recall the order of operations in fractions
- Solve complex combined fraction operations proficiently
- Show confidence in working with fractions

- Practice solving mixed fraction problems
- Work in groups on challenging fraction tasks
- Present solutions to the class

What strategies help us solve complex fraction problems?

- Master Mathematics Grade 8, pg. 12
- Exercise books
- Fraction worksheets
- Group work materials
- Master Mathematics Grade 8, pg. 13
- Portfolio materials
- Reflection journals

- Written tests - Group presentations - Peer assessment

Numbers

Decimals - Conversion of fractions to decimals

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

- Explain the relationship between fractions and decimals
- Convert fractions to decimals using different methods
- Appreciate the connection between fractions and decimals

- Practice converting fractions to decimals using equivalent fractions with denominators as powers of 10
- Use long division method to convert fractions
- Complete conversion tables

How do we convert fractions to decimals?

- Master Mathematics Grade 8, pg. 13
- Conversion charts
- Calculators
- Place value charts

- Written exercises - Oral questions - Class activities

Numbers

Decimals - Identifying and converting recurring decimals

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

- Define recurring and non-recurring decimals
- Identify recurring decimals and convert them to fractions correctly
- Show interest in working with recurring decimals

- Discuss and classify non-recurring and recurring decimals
- Indicate recurring digits using dot notation
- Practice converting recurring decimals to fractions using algebraic method

How do we identify and work with recurring decimals?

- Master Mathematics Grade 8, pg. 15
- Decimal cards
- Number cards
- Calculators

- Written tests - Practical exercises - Observation

Numbers

Decimals - Rounding off decimals to decimal places
Decimals - Expressing numbers in significant figures

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

- State the rules for rounding off decimals
- Round off decimal numbers to required decimal places accurately
- Value accuracy in rounding decimals

- Discuss and round off decimal numbers to required decimal places
- Practice rounding to 1, 2, 3 decimal places
- Use place value charts to understand rounding

How do we round off decimals correctly?

- Master Mathematics Grade 8, pg. 19
- Place value charts
- Decimal number cards
- Rounding worksheets
- Master Mathematics Grade 8, pg. 21
- Number charts
- Worksheets
- Scientific calculators

- Written assignments - Oral questions - Class tests

Numbers

Decimals - Expressing numbers in standard form

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

- Define standard form notation A × 10ⁿ
- Write numbers in standard form correctly and convert them back
- Appreciate the use of standard form for very large and small numbers

- Write numbers in standard form on learning materials such as cards or charts
- Practice expressing very large and very small numbers
- Understand the power of 10 notation

How do we express numbers in standard form?

- Master Mathematics Grade 8, pg. 23
- Standard form cards
- Calculators
- Charts

- Written exercises - Oral questions - Class activities

Numbers

Decimals - Combined operations on decimals
Decimals - Application of decimals to real life

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

- Identify the correct order of operations for decimals
- Work out combined operations on decimals systematically
- Show confidence in solving decimal problems

- Work out combined operations on decimals in the correct order
- Practice problems involving brackets, multiplication, division, addition and subtraction
- Solve complex decimal calculations

How do we perform combined operations on decimals?

- Master Mathematics Grade 8, pg. 24
- Operation cards
- Calculators
- Worksheets
- Master Mathematics Grade 8, pg. 26
- Real-life problem cards
- Measuring instruments
- Price lists

- Written tests - Problem-solving - Observation

Numbers

Decimals - Games and digital activities

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

- Explain how digital games enhance learning of decimals
- Use IT devices to play games involving decimals
- Enjoy learning about decimals through interactive activities

- Play games of operations on decimals using IT or other materials
- Use decimal apps and online games
- Engage in interactive decimal activities

How can technology enhance our understanding of decimals?

- Master Mathematics Grade 8, pg. 27
- Digital devices
- Decimal games/apps
- Internet access

- Observation - Game performance - Participation

Numbers

Squares and Square Roots - Reading squares from tables
Squares and Square Roots - Squares of large numbers

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

- Explain how to read mathematical tables for squares
- Work out squares of numbers between 1.0 and 9.999 from tables
- Show accuracy in using mathematical tables

- Read and write the squares of numbers from tables
- Practice locating numbers in the table and reading their squares
- Work through examples using Table 1.3

What are squares of numbers?

- Master Mathematics Grade 8, pg. 29
- Mathematical tables
- Number cards
- Worksheets
- Master Mathematics Grade 8, pg. 33
- Standard form charts
- Calculators

- Practical exercises - Written tests - Observation

Numbers

Squares and Square Roots - Squares of numbers less than 1

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

- Explain the process for squaring decimal numbers less than 1
- Find squares of decimal numbers less than 1 using tables
- Show precision in working with small numbers

- Practice finding squares of numbers less than 1
- Use standard form with negative powers of 10
- Apply systematic method for calculations

How do we find squares of numbers less than 1?

- Master Mathematics Grade 8, pg. 35
- Mathematical tables
- Decimal cards
- Worksheets

- Written tests - Practical exercises - Problem-solving

Numbers

Squares and Square Roots - Reading square roots from tables

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

- Explain how to read square root tables
- Work out square roots of numbers from 1 to 99.99 using tables
- Appreciate the relationship between squares and square roots

- Read and write the square roots of numbers from tables
- Practice using Table 1.4 for square roots
- Add values from the ADD column correctly

Where do we apply square roots in real life?

- Master Mathematics Grade 8, pg. 37
- Mathematical tables
- Square root charts
- Number cards

- Written assignments - Oral questions - Class tests

Numbers

Squares and Square Roots - Square roots of large numbers
Squares and Square Roots - Using calculators for squares and square roots

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

- Describe the method for finding square roots of numbers 100 and above
- Find square roots of numbers 100 and above using tables
- Show systematic approach in calculations

- Practice finding square roots of numbers above 100
- Use standard form method
- Work with both Table 1.4 and Table 1.5 appropriately

How do we find square roots of numbers above 100?

- Master Mathematics Grade 8, pg. 39
- Mathematical tables (Tables 1.4 & 1.5)
- Worksheets
- Calculators
- Master Mathematics Grade 8, pg. 42
- Scientific calculators
- Digital devices
- Comparison worksheets

- Written exercises - Practical work - Observation

Numbers

Rates, Ratio, Proportions and Percentages - Identifying rates

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

- Define rate as a quotient relationship between two quantities
- Identify rates in different real-life situations
- Appreciate the use of rates in daily life

- Time while doing different activities such as calling using different mobile service providers
- Role play activities and note time taken
- Record and compare rates

How do we use rates in real life situations?

- Master Mathematics Grade 8, pg. 44
- Stopwatches
- Rate cards
- Mobile phones (for demonstration)

- Observation - Oral questions - Practical activities

Numbers

Rates, Ratio, Proportions and Percentages - Working out rates
Rates, Ratio, Proportions and Percentages - Expressing fractions as ratios

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

- Explain the method for calculating rates
- Calculate rates from given information accurately
- Show precision in rate calculations

- Carry out activities to determine rates
- Calculate rates per unit time or quantity
- Solve rate problems from real-life contexts

How do we calculate rates from given information?

- Master Mathematics Grade 8, pg. 46
- Timers
- Measuring tools
- Rate worksheets
- Master Mathematics Grade 8, pg. 48
- Cut-out materials
- Ratio cards
- Counters

- Written tests - Problem-solving - Class activities

Numbers

Rates, Ratio, Proportions and Percentages - Comparing ratios

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

- Describe methods for comparing two or more ratios
- Compare ratios using percentage method and LCM method
- Show systematic approach in comparing ratios

- Discuss and compare ratios from cut outs
- Use LCM method to compare ratios
- Express ratios as percentages for easy comparison

How do we compare two or more ratios?

- Master Mathematics Grade 8, pg. 50
- Comparison charts
- Ratio cards
- Calculators

- Written tests - Class activities - Problem-solving

Numbers

Rates, Ratio, Proportions and Percentages - Division of quantities in ratios
Rates, Ratio, Proportions and Percentages - Working out ratios

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

- Explain the process of dividing quantities in given ratios
- Divide quantities in given ratios systematically
- Show fairness in sharing quantities

- Discuss and share quantities of concrete objects in different ratios
- Use counters or bottle tops to practice sharing
- Solve sharing problems

How do we divide quantities using ratios?

- Master Mathematics Grade 8, pg. 51
- Counters
- Bottle tops
- Sharing materials
- Master Mathematics Grade 8, pg. 53
- Data cards
- Real-life examples
- Worksheets

- Practical exercises - Written assignments - Observation

Numbers

Rates, Ratio, Proportions and Percentages - Increase and decrease using ratios

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

- Explain how ratios show increase or decrease in quantities
- Work out increase and decrease of quantities using ratios
- Apply ratio changes to real situations

- Discuss and determine increase and decrease using ratios
- Use the format new : old to express changes
- Solve problems involving ratio changes

How do ratios represent increase or decrease?

- Master Mathematics Grade 8, pg. 55
- Change scenario cards
- Calculators
- Worksheets

- Written exercises - Class activities - Problem-solving

Numbers

Rates, Ratio, Proportions and Percentages - Percentage increase

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

- Define percentage increase
- Calculate percentage increase accurately using the formula
- Show precision in percentage calculations

- Discuss and determine percentage increase of different quantities
- Use the formula: percentage change = (change/original) × 100%
- Solve real-life percentage problems

How do we calculate percentage increase?

- Master Mathematics Grade 8, pg. 57
- Percentage charts
- Calculators
- Problem cards

- Written tests - Practical exercises - Oral questions

Numbers

Rates, Ratio, Proportions and Percentages - Percentage decrease
Rates, Ratio, Proportions and Percentages - Identifying direct proportions

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

- Define percentage decrease
- Calculate percentage decrease correctly
- Apply percentage decrease to real situations responsibly

- Work through percentage decrease problems
- Calculate new values after percentage decrease
- Solve problems involving discounts and reductions

How do we calculate percentage decrease?

- Master Mathematics Grade 8, pg. 58
- Discount cards
- Price lists
- Calculators
- Master Mathematics Grade 8, pg. 59
- Proportion charts
- Real-life examples
- Digital devices

- Written assignments - Problem-solving - Class tests

Numbers

Rates, Ratio, Proportions and Percentages - Working out direct proportions

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

- Explain the unitary method for solving direct proportion
- Work out direct proportions systematically
- Show accuracy in direct proportion calculations

- Complete tables showing direct proportional relationships
- Calculate missing values in direct proportion
- Apply direct proportion to solve problems

How do we solve direct proportion problems?

- Master Mathematics Grade 8, pg. 60
- Proportion tables
- Worksheets
- Calculators

- Written tests - Problem-solving - Class activities

Numbers

Rates, Ratio, Proportions and Percentages - Identifying indirect proportions
Rates, Ratio, Proportions and Percentages - Working out indirect proportions

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

- Define indirect proportion
- Identify indirect proportions in different situations
- Appreciate the difference between direct and indirect proportion

- Use hourglass to show and determine indirect relationships
- Identify situations where increase in one leads to decrease in other
- Practice with filling containers

What is indirect proportion?

- Master Mathematics Grade 8, pg. 62
- Hourglass
- Containers
- Bottle tops
- Master Mathematics Grade 8, pg. 63
- Proportion worksheets
- Calculators
- Problem cards

- Observation - Practical work - Oral questions

Numbers

Rates, Ratio, Proportions and Percentages - Application and reflection

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

- Discuss various applications of ratios and proportions
- Apply ratios and proportions in various real-life contexts
- Promote use of ratios and proportions in real life

- Watch videos on ratios and proportions as used in daily activities
- Discuss applications with parents or guardians
- Reflect on learning and compile portfolio

How do ratios and proportions help us in daily life?

- Master Mathematics Grade 8, pg. 64
- Video resources
- Digital devices
- Portfolio materials

- Portfolio assessment - Presentations - Self-assessment

Measurements

Circles - Circumference of a circle
Circles - Finding circumference of circular objects

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

- Define circumference as the distance around a circle
- Calculate the circumference using the formula C=πD or C=2πr
- Appreciate the relationship between diameter and circumference

- Take a string and two sticks to draw circles on the ground
- Measure the distance between fixed points
- Use string and ruler to measure total length of line drawn
- Compare diameter measurement with circumference

How do we determine the circumference of a circle?

- Master Mathematics Grade 8, pg. 81
- Strings
- Sticks
- Rulers
- Circular objects
- Master Mathematics Grade 8, pg. 82
- Bicycle wheels
- Clock models
- Measuring tape

- Practical activities - Oral questions - Written exercises

Measurements

Circles - Length of an arc

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

- Define an arc as a portion of circumference
- Calculate arc length using the formula Arc length = (θ/360) × 2πr
- Value the importance of arc calculations in real life

- Make dummy clock using available resources
- Trace path of minute hand in one revolution
- Measure angles at centre and calculate arc lengths
- Use cut outs to relate arcs to sectors

How do we calculate the length of an arc?

- Master Mathematics Grade 8, pg. 84
- Cartons for clock
- Protractors
- Strings
- Rulers

- Practical exercises - Written assignments - Oral questions

Measurements

Circles - Perimeter of a sector

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

- Explain what a sector is and identify minor and major sectors
- Calculate perimeter of a sector using the formula: Perimeter = (θ/360 × 2πr) + 2r
- Show systematic approach in calculating sector perimeters

- Draw circles and mark points to form sectors
- Use string and ruler to determine arc length and add radii
- Measure angles at centre
- Calculate perimeter using formula and compare with measured values

How do we calculate the perimeter of a sector?

- Master Mathematics Grade 8, pg. 86
- Drawing instruments
- Strings
- Rulers
- Protractors

- Written tests - Class activities - Problem-solving

Measurements

Circles - Application and use of IT resources
Area - Area of a circle

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

- Discuss various applications of circles in real life
- Use IT or other resources to explore use of sectors and arcs
- Promote use of circles in real life situations

- Solve problems involving merry-go-rounds, shot put areas
- Calculate perimeters of semicircular objects
- Use IT devices to explore circle applications
- Work on complex problems involving multiple circles

How do we use circles in real life situations?

- Master Mathematics Grade 8, pg. 87
- Digital devices
- Internet access
- Real-life scenario cards
- Master Mathematics Grade 8, pg. 88
- Plain paper
- Scissors
- Rulers
- Circular cut-outs

- Portfolio assessment - Presentations - Written assignments

Measurements

Area - Calculating areas of circles with different radii

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

- State the formula for area of a circle
- Calculate areas of circles given radius or diameter
- Show accuracy in area calculations

- Calculate areas of circles with various radii
- Find radius when area is given
- Solve problems involving circular mats and grazing fields
- Work out problems involving wire reshaping

What is the relationship between radius and area?

- Master Mathematics Grade 8, pg. 89
- Calculators
- Worksheets
- Problem cards

- Written tests - Problem-solving - Class activities

Measurements

Area - Area of a sector of a circle
Area - Surface area of cubes

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

- Define a sector as a fraction of a circle
- Calculate area of a sector using the formula: Area = (θ/360) × πr²
- Value precision in sector calculations

- Draw circles and fold into equal parts
- Calculate area using angle and radius
- Use formula to find sector areas
- Compare calculated areas with measured areas

How do we find the area of a sector?

- Master Mathematics Grade 8, pg. 91
- Drawing instruments
- Protractors
- Calculators
- Paper for folding
- Master Mathematics Grade 8, pg. 92
- Cube models
- Rulers
- Measuring tape
- Worksheets

- Written exercises - Practical activities - Oral questions

Measurements

Area - Surface area of cuboids

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

- Identify that cuboids have three pairs of equal rectangular faces
- Calculate surface area of cuboids systematically
- Appreciate applications of cuboid surface areas

- Pick textbooks and measure length, width, height
- Calculate area of each surface
- Use models to understand pairs of equal sides
- Derive formula for surface area

How is surface area of cuboid different from cube?

- Master Mathematics Grade 8, pg. 94
- Cuboid objects
- Rulers
- Cartons
- Measuring instruments

- Written assignments - Class activities - Oral questions

Measurements

Area - Surface area of cylinders

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

- Explain that a cylinder opens to form two circles and a rectangle
- Calculate curved surface area using formula: CSA = 2πrh
- Show systematic approach in cylinder calculations

- Select paper or plastic cylinders
- Cut out top and bottom circles
- Slit open hollow cylindrical part
- Measure opened figure and relate to circumference

How do we find surface area of cylinders?

- Master Mathematics Grade 8, pg. 97
- Cylindrical objects
- Scissors
- Rulers
- Paper cylinders

- Practical exercises - Written tests - Problem-solving

Measurements

Area - Closed and open cylinders
Area - Surface area of triangular prisms

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

- Distinguish between closed, open cylinders and pipes
- Calculate total surface area including circular ends
- Apply formulas to solve real-life problems

- Calculate total surface area of closed cylinders
- Work out surface area of open tanks and pipes
- Solve problems involving petrol tanks and water pipes
- Calculate surface area of semi-cylindrical troughs

When do we use different cylinder formulas?

- Master Mathematics Grade 8, pg. 99
- Cylinder models
- Calculators
- Real-life scenario cards
- Master Mathematics Grade 8, pg. 100
- Prism models
- Rulers
- Measuring instruments
- Worksheets

- Written assignments - Problem-solving - Class tests

Measurements

Area - Applications of triangular prisms

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

- Discuss real-life objects in the shape of triangular prisms
- Calculate surface areas of dust pans, tents, and goal posts
- Show interest in applying prism knowledge

- Calculate surface area of rabbit hutches
- Work out surface area of tents and dust pans
- Solve problems involving wedges
- Calculate surface area of handball goal posts covered with nets

Where do we find triangular prisms in real life?

- Master Mathematics Grade 8, pg. 102
- Real-life problem cards
- Prism models
- Calculators

- Written assignments - Problem-solving - Presentations

Measurements

Area - Area of irregular shapes using square grids
Area - Estimating areas of maps and other irregular shapes

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

- Explain the method for estimating area of irregular shapes
- Estimate areas by counting full and partial squares
- Show patience in counting and estimating

- Select graph paper and trace leaf outlines
- Count number of full squares enclosed
- Count partial squares and divide by 2
- Add full squares to half of partial squares

How do we estimate areas of irregular shapes?

- Master Mathematics Grade 8, pg. 103
- Graph paper
- Square grids
- Leaves
- Pencils
- Master Mathematics Grade 8, pg. 105
- Maps
- Tracing paper
- Calculators

- Practical activities - Written exercises - Observation

Measurements

Money - Interest and principal

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

- Define interest as extra money paid on borrowed amount
- Define principal as money borrowed
- Appreciate understanding of financial terms

- Discuss amount of money that can be borrowed from mobile money providers
- Calculate difference between amount borrowed and paid back
- Identify institutions that offer loans
- Complete tables relating principal, interest and total amount

What is interest in money?

- Master Mathematics Grade 8, pg. 107
- Sample loan documents
- Calculators
- Financial scenario cards

- Written exercises - Oral questions - Class activities

Measurements

Money - Calculating simple interest
Money - Applications of simple interest

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

- Explain simple interest as money charged only on principal
- Calculate simple interest using formula: S.I = P × R × T / 100
- Show accuracy in simple interest calculations

- Discuss Mr. Murithi's loan scenario
- Calculate total amount paid and interest
- Express interest as percentage
- Practice using formula with different values

How do we calculate simple interest?

- Master Mathematics Grade 8, pg. 109
- Calculators
- Formula charts
- Loan scenario cards
- Master Mathematics Grade 8, pg. 110
- Real-life problem cards
- Bank documents (samples)

- Written tests - Problem-solving - Class activities

Measurements

Money - Compound interest calculation step by step

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

- Define compound interest as interest on principal and previous interest
- Calculate compound interest year by year up to three years
- Value systematic approach in compound interest

- Discuss Mrs. Rono's investment in women groups
- Calculate interest for first year and add to principal
- Use new total as principal for second year
- Continue process up to three years

How is compound interest different from simple interest?

- Master Mathematics Grade 8, pg. 112
- Calculators
- Step-by-step charts
- Comparison worksheets

- Written tests - Practical exercises - Class tests

Measurements

Money - Working out appreciation per annum

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

- Define appreciation as gain in value of a commodity
- Calculate appreciation using compound interest method
- Show understanding that appreciation is calculated like compound interest

- Discuss meaning of appreciation in relation to monetary value
- List items that appreciate in value
- Calculate appreciation of land value year by year
- Apply appreciation formula to various scenarios

What items appreciate in value and why?

- Master Mathematics Grade 8, pg. 115
- Calculators
- Appreciation scenario cards
- Charts

- Written exercises - Problem-solving - Oral questions

Measurements

Money - Working out depreciation per annum
Money - Hire purchase

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

- Define depreciation as loss in value of a commodity
- Calculate depreciation step by step up to three years
- Appreciate that depreciation helps in making purchasing decisions

- Discuss items that depreciate in value
- Calculate depreciation of vehicles and electronics
- Work through depreciation year by year
- Compare depreciation with appreciation

What is depreciation and how do we calculate it?

- Master Mathematics Grade 8, pg. 116
- Calculators
- Depreciation charts
- Real-life examples
- Master Mathematics Grade 8, pg. 117
- Hire purchase documents
- Price comparison charts

- Written tests - Class activities - Problem-solving

Measurements
4.0: Geometry

Money - Visiting financial institutions and using IT for shopping
4.1: Geometrical Constructions - Constructing parallel lines using ruler and compasses

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

- Discuss information gathered from financial institutions
- Use IT to access online shopping platforms and identify terms of sale
- Spend money responsibly on needs and leisure

- Visit or invite resource persons from banks and SACCOs
- Gather information about interest rates offered on deposits
- Use IT to access online shopping platforms
- Discuss terms of sale for consumer awareness and protection

How do we make informed financial decisions?

- Master Mathematics Grade 8, pg. 118
- Digital devices
- Internet access
- Financial institution brochures
- Guest speakers
- MASTER Mathematics Grade 8 Learner's Book pg. 119
- Ruler
- Pair of compasses
- Pencil
- Plain paper

- Portfolio assessment - Presentations - Reflection journals - Self-assessment

4.0: Geometry

4.1: Geometrical Constructions - Constructing parallel lines using set square and ruler
4.1: Geometrical Constructions - Constructing perpendicular bisector of a line
4.1: Geometrical Constructions - Constructing perpendicular from a point to a line using compasses

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

- Identify the method of constructing parallel lines using set square
- Construct parallel lines using a set square and ruler
- Show precision in geometric constructions

- Place set square edge along given line
- Position ruler along shortest edge of set square
- Slide set square along ruler to desired point
- Draw parallel line through the point
- Practice construction with different line positions

What are the advantages of using a set square over compasses for parallel lines?

- MASTER Mathematics Grade 8 Learner's Book pg. 119
- Set square
- Ruler
- Pencil
- Drawing paper
- Pair of compasses
- Protractor
- Plain paper

- Observation - Practical tasks - Peer assessment

4.0: Geometry

4.1: Geometrical Constructions - Constructing perpendicular using set square and ruler
4.1: Geometrical Constructions - Proportional division of a line
4.1: Geometrical Constructions - Sum of interior angles of polygons

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

- Describe the steps for constructing perpendiculars using set square
- Construct perpendicular lines using set square and ruler
- Show appreciation for geometric tools

- Draw a horizontal line
- Mark point above the line
- Place ruler along the line
- Position set square along ruler
- Slide set square until edge touches the point
- Draw perpendicular line through the point

What are practical applications of perpendicular lines in construction?

- MASTER Mathematics Grade 8 Learner's Book pg. 119
- Set square
- Ruler
- Pencil
- Drawing paper
- Pair of compasses
- Protractor
- Calculator

- Observation - Practical construction - Peer review

4.0: Geometry

4.1: Geometrical Constructions - Exterior angles of polygons
4.1: Geometrical Constructions - Constructing regular triangles

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

- Define exterior angles of polygons
- Calculate sum of exterior angles and size of each exterior angle in regular polygons
- Appreciate the constant sum of exterior angles

- Draw polygons and measure exterior angles
- Calculate sum of exterior angles
- Verify sum equals one complete revolution
- Calculate exterior angle of regular polygons using formula
- Complete table of polygon properties

Why is the sum of exterior angles always constant for any polygon?

- MASTER Mathematics Grade 8 Learner's Book pg. 119
- Protractor
- Ruler
- Calculator
- Chart showing polygon properties
- Pair of compasses
- Pencil

- Observation - Written tests - Problem-solving tasks

4.0: Geometry

4.1: Geometrical Constructions - Constructing regular quadrilaterals (squares)
4.1: Geometrical Constructions - Constructing regular pentagons

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

- Describe properties of squares
- Construct a square using ruler and compasses
- Demonstrate accuracy in perpendicular construction

- Draw line of given length
- Construct perpendicular at one end using compasses
- Mark point along perpendicular
- Use both ends as centers to locate fourth vertex
- Join points to form square
- Measure angles to verify right angles at each vertex

How do we ensure all angles in a square are right angles using only compass and ruler?

- MASTER Mathematics Grade 8 Learner's Book pg. 119
- Ruler
- Pair of compasses
- Protractor
- Plain paper
- Pencil
- Calculator

- Observation - Practical tasks - Peer assessment

4.0: Geometry

4.1: Geometrical Constructions - Constructing regular hexagons and circles

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

- Identify that interior angle of regular hexagon is 120°
- Construct regular hexagon and circles related to triangles
- Appreciate relationship between circles and polygons

- Construct regular hexagon using protractor
- Construct triangle and draw perpendicular bisectors
- Locate circumcenter and draw circumcircle
- Construct angle bisectors to find incenter and draw incircle
- Compare properties of different circles

How are circles related to regular polygons and triangles?

- MASTER Mathematics Grade 8 Learner's Book pg. 119
- Ruler
- Protractor
- Pair of compasses
- Pencil

- Observation - Practical construction - Oral questions

4.0: Geometry

4.2: Coordinates and Graphs - Drawing labelled Cartesian plane

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

- Define Cartesian plane and identify its components
- Draw and label a Cartesian plane with axes and origin
- Show understanding of coordinate system

- Draw horizontal line and label as x-axis
- Draw vertical line crossing at center and label as y-axis
- Mark intersection point as origin
- Number axes with positive and negative values
- Place arrows at ends of axes
- Discuss purpose of arrows

Why do we need two axes to locate points on a plane?

- MASTER Mathematics Grade 8 Learner's Book pg. 147
- Graph paper
- Ruler
- Pencil
- Digital resources

- Observation - Oral questions - Written assignments

4.0: Geometry

4.2: Coordinates and Graphs - Drawing Cartesian plane with different scales
4.2: Coordinates and Graphs - Identifying points on Cartesian plane

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

- Explain the concept of scale in graphs
- Draw Cartesian plane with specified scales on both axes
- Demonstrate accuracy in scaling

- Draw Cartesian plane with various scales
- Practice with different unit representations
- Label axes correctly with chosen scale
- Discuss when to use different scales
- Compare graphs with different scales

How does scale affect the appearance of a graph?

- MASTER Mathematics Grade 8 Learner's Book pg. 147
- Graph paper
- Ruler
- Pencil
- Calculator
- Worksheet with points

- Observation - Practical tasks - Written tests

4.0: Geometry

4.2: Coordinates and Graphs - Plotting points on Cartesian plane

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

- Explain the process of plotting coordinates
- Plot given coordinates on Cartesian plane accurately
- Demonstrate accuracy in plotting

- Identify x-coordinate and locate on x-axis
- Check sign of y-coordinate
- Draw line upward for positive y, downward for negative y
- Locate y-coordinate on y-axis
- Mark point where lines meet
- Practice plotting points in all quadrants

How do we use coordinates to mark exact positions?

- MASTER Mathematics Grade 8 Learner's Book pg. 147
- Graph paper
- Ruler
- Pencil
- List of coordinates

- Observation - Practical tasks - Peer assessment

4.0: Geometry

4.2: Coordinates and Graphs - Reading coordinates from graphs
4.2: Coordinates and Graphs - Generating table of values from linear equations

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

- Identify coordinates of plotted points on graphs
- Read coordinates from all four quadrants correctly
- Show accuracy in coordinate reading

- Examine graph with plotted points
- Write down coordinates of labeled points
- Identify points on x-axis and y-axis
- Match given coordinates to labeled points on graph
- Practice with various coordinate positions

What special coordinates do points on the axes have?

- MASTER Mathematics Grade 8 Learner's Book pg. 147
- Graph paper with plotted points
- Ruler
- Pencil
- Practice worksheets
- Graph paper
- Calculator

- Observation - Written tests - Oral questions

4.0: Geometry

4.2: Coordinates and Graphs - Completing tables for linear equations

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

- Identify given values in equation tables
- Complete given tables using equations accurately
- Demonstrate algebraic skills in context

- Complete tables for equations in various forms
- Substitute given values to find missing values
- Generate complete tables for different equations
- Practice with whole numbers and fractions
- Verify completed tables

How do different forms of equations affect table generation?

- MASTER Mathematics Grade 8 Learner's Book pg. 147
- Calculator
- Pencil
- Exercise book
- Practice worksheets

- Observation - Written tests - Oral questions

4.0: Geometry

4.2: Coordinates and Graphs - Determining appropriate scale for graphs
4.2: Coordinates and Graphs - Drawing line graphs from tables

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

- List factors to consider when choosing scales
- Choose suitable scales for given data ranges
- Show judgment in scale selection

- Examine table with range of values
- Consider graph paper size
- Calculate range of values
- Select scale that accommodates all values
- Ensure efficient use of graph space

How do we choose a scale that makes best use of graph paper?

- MASTER Mathematics Grade 8 Learner's Book pg. 147
- Graph paper
- Ruler
- Calculator
- Data tables
- Pencil

- Observation - Practical tasks - Problem-solving

4.0: Geometry

4.2: Coordinates and Graphs - Drawing graphs for various linear equations

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

- Identify equations representing horizontal and vertical lines
- Draw graphs for equations in different forms
- Demonstrate graphing skills

- Draw graphs for equations in various forms
- Draw horizontal and vertical lines
- Compare slopes of different lines
- Identify parallel and perpendicular lines
- Practice graphing multiple equations

What do certain equations represent graphically?

- MASTER Mathematics Grade 8 Learner's Book pg. 147
- Graph paper
- Ruler
- Pencil
- Set of equations

- Observation - Written tests - Practical tasks

4.0: Geometry

4.2: Coordinates and Graphs - Introduction to simultaneous equations graphically

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

- Define simultaneous equations
- Identify point of intersection of two lines as solution
- Show interest in graphical methods

- Solve simultaneous equations algebraically
- Draw graphs of both equations on same axes
- Identify where lines intersect
- Read coordinates of intersection point
- Compare graphical solution to algebraic solution

How can graphs help us solve two equations together?

- MASTER Mathematics Grade 8 Learner's Book pg. 147
- Graph paper
- Ruler
- Calculator
- Number cards

- Observation - Oral questions - Written assignments

4.0: Geometry

4.2: Coordinates and Graphs - Solving simultaneous linear equations graphically
4.2: Coordinates and Graphs - Practice solving simultaneous equations with different forms
4.2: Coordinates and Graphs - Applying simultaneous equations to real-life problems

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

- Explain the graphical method for solving simultaneous equations
- Solve simultaneous equations using graphs accurately
- Demonstrate systematic approach

- Generate tables for both equations
- Choose appropriate scale for both equations
- Plot both lines on same Cartesian plane
- Identify point of intersection accurately
- Write solution as ordered pair
- Verify solution satisfies both equations

Why must the solution satisfy both equations?

- MASTER Mathematics Grade 8 Learner's Book pg. 147
- Graph paper
- Ruler
- Calculator
- Pencil
- Scientific calculator
- Real-life problem cards

- Observation - Problem-solving - Written tests