Numbers

Integers - Identification of integers

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

- Define integers and distinguish them from non-integers
- Identify positive integers, negative integers and zero in different situations
- Appreciate the use of integers in daily life situations

- Discuss and find readings of thermometers showing positive and negative values
- Classify numbers as integers or non-integers
- Use real-life situations like floors above and below ground to represent integers

How do we identify integers in real life situations?

- Master Mathematics Grade 8, pg. 1
- Thermometers
- Number cards
- Charts with integers

- Observation - Oral questions - Written exercises

Numbers

Integers - Representation of integers on number line
Integers - Addition of integers on number line

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

- Explain the concept of a number line and its components
- Represent integers on a number line accurately
- Show interest in using number lines to represent integers

- Draw straight lines and mark zero at the center
- Write positive integers to the right and negative integers to the left at equal intervals
- Practice representing different sets of integers on number lines

How do we represent integers on a number line?

- Master Mathematics Grade 8, pg. 2
- Manila paper
- Rulers
- Markers
- Number lines
- Master Mathematics Grade 8, pg. 3
- Number cards
- Ground markings
- Chalk
- Counters

- Observation - Practical work - Written assignments

Numbers

Integers - Subtraction of integers on number line
Integers - Combined operations on number line

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

- Explain the rule for subtracting integers on a number line
- Subtract integers using a number line systematically
- Appreciate the application of subtraction in real life

- Use number cards in containers
- Draw number lines from -30 to 10
- Jump to the left to subtract
- Record positions after jumping

How do we subtract integers using a number line?

- Master Mathematics Grade 8, pg. 4
- Number cards
- Number lines
- Markers
- Playground space
- Master Mathematics Grade 8, pg. 5
- Temperature gauges
- Real-life problem cards

- Practical exercises - Oral questions - Written tests

Numbers

Integers - Application of integers using IT resources
Fractions - Order of operations in fractions

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

- Identify various IT resources for learning integers
- Use IT devices to learn more about integers and play creative games
- Reflect on use of integers in real life situations

- Use IT devices or print resources for learning
- Play creative games involving number lines and jumping steps
- Search online for integer activities

Where else can we use integers in real life?

- Master Mathematics Grade 8, pg. 6
- Digital devices
- Internet access
- Integer games/apps
- Master Mathematics Grade 8, pg. 8
- Fraction cards
- Calculators
- Charts showing BODMAS

- Observation - Digital portfolio - Participation

Numbers

Fractions - Operations on fractions from shopping activities
Fractions - Word problems involving fractions

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

- Explain how fractions are used in shopping and trading
- Work out fraction operations from shopping activities
- Show responsibility in applying fractions to real situations

- Discuss and carry out operations on fractions from shopping and other real-life cases
- Role-play shopping scenarios
- Solve problems involving sharing and distribution

Where do we apply combined operations on fractions?

- Master Mathematics Grade 8, pg. 9
- Shopping lists
- Price tags
- Play money
- Fraction pieces
- Master Mathematics Grade 8, pg. 10
- Word problem cards
- Fraction charts
- Measuring tools

- Problem-solving - Practical activities - Written assignments

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

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

- Written tests - Group presentations - Peer assessment

Numbers

Fractions - Application and reflection

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

- Discuss various applications of fractions in daily life
- Demonstrate mastery of fraction operations
- Promote use of fractions in real life situations

- Discuss with peers, parents or guardians about areas where fractions are applied
- Share real-life experiences involving fractions
- Compile a portfolio of fraction work

How have fractions helped us in our daily lives?

- Master Mathematics Grade 8, pg. 13
- Portfolio materials
- Reflection journals

- Portfolio assessment - Oral presentations - Self-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

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

- Written assignments - Oral questions - Class tests

Numbers

Decimals - Expressing numbers in significant figures

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

- Explain the meaning of significant figures
- Write decimal and whole numbers to given significant figures
- Show precision in expressing numbers

- Write decimal and whole numbers to given significant figures
- Discuss rules for identifying significant figures
- Practice expressing numbers to different significant figures

What are significant figures and why are they important?

- Master Mathematics Grade 8, pg. 21
- Number charts
- Worksheets
- Scientific calculators

- Written tests - Practical exercises - Observation

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

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

- Written tests - Problem-solving - Observation

Numbers

Decimals - Application of decimals to real life

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

- Identify situations where decimals are used in daily life
- Apply decimals to solve practical problems
- Promote use of decimals in daily activities

- Discuss and apply decimals to real life cases
- Solve problems involving money, measurements, temperature
- Work with real-life scenarios

Where do we use decimals in our daily lives?

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

- Practical tasks - Written assignments - Oral presentations

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

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

- Practical exercises - Written tests - Observation

Numbers

Squares and Square Roots - Squares of large numbers

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

- Describe the method for finding squares of numbers above 10
- Work out squares of numbers above 10 using standard form and tables
- Demonstrate systematic approach in calculations

- Practice finding squares of numbers above 10 using standard form method
- Convert numbers to standard form A × 10ⁿ
- Calculate squares and express in ordinary form

How do we find squares of numbers greater than 10?

- Master Mathematics Grade 8, pg. 33
- Mathematical tables
- Standard form charts
- Calculators

- Written exercises - Class activities - Oral questions

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
Squares and Square Roots - Square roots of large numbers

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
- Master Mathematics Grade 8, pg. 39
- Mathematical tables (Tables 1.4 & 1.5)
- Worksheets
- Calculators

- Written assignments - Oral questions - Class tests

Numbers

Squares and Square Roots - Using calculators for squares and square roots

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

- Identify the square and square root functions on a calculator
- Work out squares and square roots using a calculator correctly
- Appreciate the efficiency of using calculators

- Practice working out squares and square roots using a calculator
- Compare calculator results with table results
- Use IT devices or other materials to play square and square root games

How do calculators help us find squares and square roots?

- Master Mathematics Grade 8, pg. 42
- Scientific calculators
- Digital devices
- Comparison worksheets

- Practical exercises - Observation - Written tests

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

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

- Written tests - Problem-solving - Class activities

Numbers

Rates, Ratio, Proportions and Percentages - Expressing fractions as ratios

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

- Explain how to convert fractions to ratios
- Express fractions as ratios in simplest form
- Value precision in ratio work

- Use cut outs from whole objects to relate fractions to ratios
- Practice writing fractions as numerator : denominator
- Simplify ratios to lowest terms

How do we express fractions as ratios?

- Master Mathematics Grade 8, pg. 48
- Cut-out materials
- Ratio cards
- Counters

- Written exercises - Practical work - Oral questions

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

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

- Practical exercises - Written assignments - Observation

Numbers

Rates, Ratio, Proportions and Percentages - Working out ratios

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

- Identify the method for finding ratios from given quantities
- Work out ratios in different situations
- Appreciate applications of ratios in daily life

- Calculate ratios from given quantities
- Find missing values in ratio problems
- Apply ratios to real situations

How do we determine ratios from given information?

- Master Mathematics Grade 8, pg. 53
- Data cards
- Real-life examples
- Worksheets

- Written tests - Problem-solving - Oral questions

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

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

- Written assignments - Problem-solving - Class tests

Numbers

Rates, Ratio, Proportions and Percentages - Identifying direct proportions

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

- Define direct proportion
- Identify direct proportions in real life situations
- Appreciate proportional relationships in daily activities

- Use IT devices or other materials to explore proportions
- Role play shopping activities to show direct relationships
- Identify situations where increase in one leads to increase in other

What is direct proportion?

- Master Mathematics Grade 8, pg. 59
- Proportion charts
- Real-life examples
- Digital devices

- Observation - Oral questions - Practical activities

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

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

- Observation - Practical work - Oral questions

Numbers

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

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

- Explain the method for solving indirect proportion
- Work out indirect proportions systematically
- Show understanding of inverse relationships

- Complete tables showing indirect proportional relationships
- Calculate values where ratios are inverted
- Solve time-speed-distance problems

How do we solve indirect proportion problems?

- Master Mathematics Grade 8, pg. 63
- Proportion worksheets
- Calculators
- Problem cards

- Written exercises - Problem-solving - Written tests

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

Algebra

Algebraic Expressions - Factorisation of algebraic expressions

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

- Define factorisation as the reverse of expansion
- Identify the highest common factor (HCF) in algebraic expressions
- Appreciate the use of factorisation in simplifying expressions

- Make three sets of cards showing algebraic expressions and their factored forms
- Match cards from different rows to form equations
- Discuss and identify common factors in terms
- Write HCF in front of brackets and remaining factors inside

How do we factorise algebraic expressions?

- Master Mathematics Grade 8, pg. 65
- Number cards
- Algebraic expression cards
- Charts

- Observation - Card matching activity - Oral questions

Algebra

Algebraic Expressions - Identifying like and unlike terms in factorisation

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

- Explain the concept of like and unlike terms
- Find common factors for different sets of terms
- Show systematic approach in identifying factors

- Discuss and identify like and unlike terms
- Find common factors from given sets of algebraic terms
- Practice factorising expressions with numerical and variable common factors
- Work in groups to factorise various expressions

What makes terms like or unlike in algebra?

- Master Mathematics Grade 8, pg. 67
- Factor cards
- Worksheets
- Group work materials

- Written exercises - Group presentations - Class activities

Algebra

Algebraic Expressions - Simplification of algebraic fractions

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

- Explain the process of simplifying algebraic fractions
- Simplify algebraic fractions by finding LCM of denominators
- Value accuracy in simplifying fractions

- Discuss like and unlike terms in algebraic fractions
- Find LCM of denominators in algebraic fractions
- Combine fractions with different denominators
- Practice simplifying complex algebraic fractions

How do we simplify algebraic expressions?

- Master Mathematics Grade 8, pg. 68
- Fraction charts
- LCM charts
- Worksheets

- Written tests - Practical exercises - Problem-solving

Algebra

Algebraic Expressions - Advanced simplification practice

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

- Describe steps for simplifying complex algebraic fractions
- Simplify algebraic fractions involving multiple operations
- Show confidence in working with algebraic fractions

- Practice writing fractions as single fractions
- Simplify fractions with algebraic denominators
- Solve problems involving algebraic fractions
- Work through real-life applications

What strategies help us simplify complex algebraic fractions?

- Master Mathematics Grade 8, pg. 69
- Practice worksheets
- Real-life problem cards
- Calculators

- Written assignments - Class tests - Oral questions

Algebra

Algebraic Expressions - Using IT devices and application
Linear Equations - Forming linear equations in two unknowns

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

- Identify IT resources for learning algebra
- Use IT devices to work out algebra exercises and drag-drop activities
- Enjoy using algebraic expressions in real life situations

- Use IT devices to work out exercises and activities in algebra
- Engage in drag and drop activities of grouping similar terms
- Play online games simplifying algebraic expressions
- Discuss applications with peers and parents

How can technology enhance our understanding of algebra?

- Master Mathematics Grade 8, pg. 71
- Digital devices
- Internet access
- Algebra apps/software
- Master Mathematics Grade 8, pg. 72
- Beam balance
- Masses (500g)
- Marbles
- Shopping scenario cards

- Observation - Digital assessment - Participation

Algebra

Linear Equations - More practice on forming equations

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

- Interpret word problems involving two unknowns
- Form linear equations from various real-life scenarios
- Appreciate the relevance of equations in daily life

- Write equations to represent ages, costs, and quantities
- Form equations from perimeter problems
- Create equations from problems involving animals and farming
- Practice with two-digit number problems

Where do we use linear equations in two unknowns in real life situations?

- Master Mathematics Grade 8, pg. 73
- Word problem cards
- Real-life scenario cards
- Worksheets

- Written exercises - Problem-solving - Class activities

Algebra

Linear Equations - Solving by substitution method

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

- Explain the substitution method for solving simultaneous equations
- Solve linear equations in two unknowns using substitution systematically
- Show precision in solving equations

- Write equations from fruit vendor scenario
- Name equations as (i) and (ii)
- Write one variable in terms of another
- Replace and simplify to find values of unknowns

How do we use substitution method to solve linear equations?

- Master Mathematics Grade 8, pg. 74
- Fruit pictures
- Equation cards
- Step-by-step charts

- Written tests - Practical exercises - Oral questions

Algebra

Linear Equations - Advanced practice on substitution method

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

- Describe the complete process of substitution method
- Solve complex simultaneous equations by substitution
- Demonstrate mastery of substitution technique

- Practice solving equations with fractions using substitution
- Work through problems involving costs and quantities
- Solve problems about carpentry and furniture making
- Apply substitution to number problems

What are the key steps in substitution method?

- Master Mathematics Grade 8, pg. 75
- Practice worksheets
- Real-life problem cards
- Calculators

- Written assignments - Problem-solving - Class tests

Algebra

Linear Equations - Solving by elimination method

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

- Explain the elimination method for solving simultaneous equations
- Solve linear equations using elimination method systematically
- Appreciate the efficiency of elimination method

- Form equations from shopping scenarios (plates and cups)
- Multiply equations to make coefficients equal
- Subtract corresponding parts to eliminate one variable
- Solve for remaining variable and substitute back

How do we solve equations using elimination method?

- Master Mathematics Grade 8, pg. 76
- Shopping scenario cards
- Elimination charts
- Step-by-step guides

- Written exercises - Practical work - Oral questions

Algebra

Linear Equations - More practice on elimination method

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

- Identify when to use elimination method
- Solve various simultaneous equations by elimination efficiently
- Show confidence in choosing appropriate methods

- Practice solving equations involving bread and tea leaves
- Work through problems with different coefficients
- Solve problems about costs of items
- Compare elimination and substitution methods

When is elimination method more suitable than substitution?

- Master Mathematics Grade 8, pg. 78
- Comparison charts
- Practice worksheets
- Method selection guides

- Written tests - Class activities - Problem-solving

Algebra

Linear Equations - Application in real-life situations

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

- Discuss various applications of linear equations in daily life
- Apply linear equations to solve real-life problems involving rectangles, costs, and quantities
- Recognize use of linear equations in real life

- Find sum and difference of two numbers using equations
- Solve problems about rectangular flower beds
- Work out problems involving hiring labourers
- Apply equations to school fees and shopping scenarios
- Watch videos on linear equations applications

How do linear equations help us solve real-life problems?

- Master Mathematics Grade 8, pg. 79
- Video resources
- Real-life scenario cards
- Digital devices
- Application worksheets

- Portfolio assessment - Presentations - Written assignments - Self-assessment

Measurements

Circles - Circumference of a circle

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

- Practical activities - Oral questions - Written exercises

Measurements

Circles - Finding circumference of circular objects

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

- Identify circular objects in the environment
- Work out the circumference of different circular objects accurately
- Show interest in measuring circular objects

- Discuss and find circumference of different circular objects in the environment
- Complete tables to find missing measurements (radius, diameter, circumference)
- Calculate circumference of bicycle wheels and clock hands
- Solve real-life problems involving wheels and revolutions

Where do we find circles in our environment?

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

- Written tests - Practical work - Problem-solving

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

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

- Portfolio assessment - Presentations - Written assignments

Measurements

Area - Area of a circle

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

- Explain how the formula for area of circle is derived
- Calculate area of a circle using the formula A = πr²
- Appreciate the importance of knowing circle areas

- Draw and cut circles into equal sections
- Arrange sections to form rectangle-like shape
- Relate sides of rectangle to radius of circle
- Work out area of rectangle formed

How do we calculate the area of a circle?

- Master Mathematics Grade 8, pg. 88
- Plain paper
- Scissors
- Rulers
- Circular cut-outs

- Practical work - Written exercises - Oral questions

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

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

- Written exercises - Practical activities - Oral questions

Measurements

Area - Surface area of cubes

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

- Explain that a cube has 6 equal square faces
- Calculate total surface area using formula: TSA = 6 × length × length
- Show understanding of closed and open cubes

- Study cubes and count number of faces
- Measure sides of each face
- Calculate area of each face
- Derive formula for surface area of closed and open cubes

How do we calculate surface area of cubes?

- Master Mathematics Grade 8, pg. 92
- Cube models
- Rulers
- Measuring tape
- Worksheets

- Written tests - Practical work - Problem-solving

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

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

- Written assignments - Problem-solving - Class tests

Measurements

Area - Surface area of triangular prisms
Area - Applications of triangular prisms

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

- Identify the faces that make up a triangular prism
- Calculate surface area as sum of individual faces
- Value accuracy in prism calculations

- Study triangular prism objects
- Count number of faces
- Identify triangular and rectangular faces
- Calculate area of each face and find total

How do we calculate surface area of triangular prisms?

- Master Mathematics Grade 8, pg. 100
- Prism models
- Rulers
- Measuring instruments
- Worksheets
- Master Mathematics Grade 8, pg. 102
- Real-life problem cards
- Calculators

- Written tests - Practical work - Oral questions

Measurements

Area - Area of irregular shapes using square grids

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

- Practical activities - Written exercises - Observation

Measurements

Area - Estimating areas of maps and other irregular shapes

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

- Apply square grid method to various irregular shapes
- Estimate areas of maps, assembly zones, and hand traces
- Promote use of area estimation in real life

- Estimate area of fire assembly zones
- Work out area of constituency maps
- Estimate area of Kenya map
- Trace palm of hand and estimate its area

What are practical uses of estimating irregular areas?

- Master Mathematics Grade 8, pg. 105
- Graph paper
- Maps
- Tracing paper
- Calculators

- Portfolio assessment - Practical work - Written assignments

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

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

- Written tests - Problem-solving - Class activities

Measurements

Money - Applications of simple interest

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

- Discuss various situations where simple interest applies
- Calculate amount paid back including interest
- Apply simple interest to solve real-life problems

- Calculate interest for businessmen borrowing from financial institutions
- Work out amount in bank accounts after interest
- Find rate of simple interest from given information
- Calculate interest earned on deposits

Where do we use simple interest in real life?

- Master Mathematics Grade 8, pg. 110
- Calculators
- Real-life problem cards
- Bank documents (samples)

- Written assignments - Problem-solving - Oral presentations

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

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

- Written tests - Class activities - Problem-solving

Measurements

Money - Hire purchase
Money - Visiting financial institutions and using IT for shopping

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

- Explain hire purchase as buying goods through installments
- Calculate total cost under hire purchase
- Show consumer awareness in comparing cash and hire purchase prices

- Visit places offering hire purchase or do online searches
- Discuss different terms of purchase
- Calculate installment periods and total amounts
- Compare hire purchase prices with cash prices for consumer protection

How do we pay for goods on hire purchase?

- Master Mathematics Grade 8, pg. 117
- Hire purchase documents
- Price comparison charts
- Calculators
- Master Mathematics Grade 8, pg. 118
- Digital devices
- Internet access
- Financial institution brochures
- Guest speakers

- Written assignments - Research projects - Oral presentations