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| WK | LSN | STRAND | SUB-STRAND | LESSON LEARNING OUTCOMES | LEARNING EXPERIENCES | KEY INQUIRY QUESTIONS | LEARNING RESOURCES | ASSESSMENT METHODS | REFLECTION |
|---|---|---|---|---|---|---|---|---|---|
| 1 |
Opening |
||||||||
| 2 | 1 |
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
|
|
| 2 | 2 |
Numbers
|
Integers - Representation of integers on number line
Integers - Addition of integers on number line Integers - Subtraction 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 - Master Mathematics Grade 8, pg. 4 - Playground space |
- Observation
- Practical work
- Written assignments
|
|
| 2 | 3 |
Numbers
|
Integers - Combined operations on number line
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:
- Describe the order of combined operations on integers - Perform combined addition and subtraction of integers on number line - Show confidence in solving problems involving integers |
- Practice mixed operations using number lines
- Solve problems involving temperature changes - Work out problems involving floors in buildings |
How do we perform combined operations of integers?
|
- Master Mathematics Grade 8, pg. 5
- Number lines - Temperature gauges - Real-life problem cards - 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 |
- Written exercises
- Problem-solving tasks
- Observation
|
|
| 2 | 4 |
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
|
|
| 2 | 5 |
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
|
|
| 3 | 1 |
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
|
|
| 3 | 2 |
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
|
|
| 3 | 3 |
Numbers
|
Decimals - Identifying and converting recurring decimals
Decimals - Rounding off decimals to decimal places |
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 - Master Mathematics Grade 8, pg. 19 - Place value charts - Decimal number cards - Rounding worksheets |
- Written tests
- Practical exercises
- Observation
|
|
| 3 | 4 |
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
|
|
| 3 | 5 |
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
|
|
| 4 | 1 |
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
|
|
| 4 | 2 |
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
|
|
| 4 | 3 |
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
|
|
| 4 | 4 |
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
|
|
| 4 | 5 |
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
|
|
| 5 | 1 |
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
|
|
| 5 | 2 |
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
|
|
| 5 | 3 |
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
|
|
| 5 | 4 |
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
|
|
| 5 | 5 |
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
|
|
| 6 | 1 |
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
|
|
| 6 | 2 |
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
|
|
| 6 | 3 |
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
|
|
| 6 | 4 |
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
|
|
| 6 | 5 |
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
|
|
| 7 | 1 |
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
|
|
| 7 | 2 |
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
|
|
| 7 | 3 |
Algebra
|
Algebraic Expressions - Identifying like and unlike terms in factorisation
Algebraic Expressions - Simplification of algebraic fractions |
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 - Master Mathematics Grade 8, pg. 68 - Fraction charts - LCM charts |
- Written exercises
- Group presentations
- Class activities
|
|
| 7 | 4 |
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
|
|
| 7 | 5 |
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
|
|
| 8 |
Mid term break |
||||||||
| 9 | 1 |
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
|
|
| 9 | 2 |
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
|
|
| 9 | 3 |
Algebra
|
Linear Equations - Advanced practice on substitution method
Linear Equations - Solving by elimination 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 - Master Mathematics Grade 8, pg. 76 - Shopping scenario cards - Elimination charts - Step-by-step guides |
- Written assignments
- Problem-solving
- Class tests
|
|
| 9 | 4 |
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
|
|
| 9 | 5 |
Algebra
Measurements |
Linear Equations - Application in real-life situations
Circles - Circumference of a circle |
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 - Master Mathematics Grade 8, pg. 81 - Strings - Sticks - Rulers - Circular objects |
- Portfolio assessment
- Presentations
- Written assignments
- Self-assessment
|
|
| 10 | 1 |
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
|
|
| 10 | 2 |
Measurements
|
Circles - Length of an arc
Circles - Perimeter of a sector |
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 - Master Mathematics Grade 8, pg. 86 - Drawing instruments |
- Practical exercises
- Written assignments
- Oral questions
|
|
| 10 | 3 |
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
|
|
| 10 | 4 |
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
|
|
| 10 | 5 |
Measurements
|
Area - Calculating areas of circles with different radii
Area - Area of a sector of a circle |
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 - Master Mathematics Grade 8, pg. 91 - Drawing instruments - Protractors - Paper for folding |
- Written tests
- Problem-solving
- Class activities
|
|
| 11 | 1 |
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
|
|
| 11 | 2 |
Measurements
|
Area - Surface area of cuboids
Area - Surface area of cylinders |
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 - Master Mathematics Grade 8, pg. 97 - Cylindrical objects - Scissors - Paper cylinders |
- Written assignments
- Class activities
- Oral questions
|
|
| 11 | 3 |
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
|
|
| 11 | 4 |
Measurements
|
Area - Surface area 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 |
- Written tests
- Practical work
- Oral questions
|
|
| 11 | 5 |
Measurements
|
Area - Applications of triangular prisms
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:
- 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 - Master Mathematics Grade 8, pg. 103 - Graph paper - Square grids - Leaves - Pencils - Master Mathematics Grade 8, pg. 105 - Maps - Tracing paper |
- Written assignments
- Problem-solving
- Presentations
|
|
| 12 |
End term exams |
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| 13 |
Closing |
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