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| WK | LSN | STRAND | SUB-STRAND | LESSON LEARNING OUTCOMES | LEARNING EXPERIENCES | KEY INQUIRY QUESTIONS | LEARNING RESOURCES | ASSESSMENT METHODS | REFLECTION |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 |
Numbers
|
Integers - Identifying integers in different situations
|
By the end of the
lesson, the learner
should be able to:
-Identify integers in different situations -Use integers correctly in daily life -Show interest in learning about integers |
-Identify integers by carrying out activities involving positive and negative numbers and zero
-Make steps forward (positive) and backward (negative) from a reference point -Mark a reference point on level ground and make five steps from the reference point in both directions |
How small are atoms and are they divisible?
|
-KLB Grade 8 Mathematics pg. 1
-Number line charts -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
| 1 | 2 |
Numbers
|
Integers - Representing integers on a number line
Integers - Addition of integers on a number line |
By the end of the
lesson, the learner
should be able to:
-Represent integers on a number line -Interpret positive and negative values correctly -Appreciate the use of number line in representing integers |
-Draw and represent integers on number lines -Consider moving forward as positive and backward as negative -Represent given integers on a number line and share with other groups |
Where do we use integers in real life situations?
|
-KLB Grade 8 Mathematics pg. 1
-Number lines -Digital resources -KLB Grade 8 Mathematics pg. 3 |
-Observation
-Oral questions
-Written tests
|
|
| 1 | 3 |
Numbers
|
Integers - Subtraction of integers on a number line
Integers - Combined operations of integers on a number line |
By the end of the
lesson, the learner
should be able to:
-Subtract integers using a number line -Solve problems involving subtraction of integers -Show interest in using a number line for subtraction of integers |
-Perform subtraction operations of integers on a number line -When subtracting a positive integer, move to the left on the number line -Solve real-life problems involving subtraction of integers |
How can we use a number line to subtract integers?
|
-KLB Grade 8 Mathematics pg. 4
-Number lines -Charts showing number lines -KLB Grade 8 Mathematics pg. 6 -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
| 1 | 4 |
Numbers
|
Integers - Games involving a number line
Fractions - Combined operations involving addition and subtraction |
By the end of the
lesson, the learner
should be able to:
-Play creative games involving integer operations -Create games using a number line -Show interest in learning more about integers |
-Play creative games that involve number lines, for example jumping steps -Each member to write a question on a card involving addition and subtraction of integers -Use IT to learn more on operations of integers on number lines |
Where do we use integers in real life situations?
|
-KLB Grade 8 Mathematics pg. 7
-Number cards -Internet access -KLB Grade 8 Mathematics pg. 8 -Fraction models -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
| 1 | 5 |
Numbers
|
Fractions - Combined operations involving division and multiplication
Fractions - Combined operations involving brackets |
By the end of the
lesson, the learner
should be able to:
-Carry out combined operations involving division and multiplication of fractions -Apply combined operations in solving problems -Appreciate the importance of combined operations |
-Discuss and use the correct order of operations in fractions -Work out division, then multiplication in combined operations -Solve real-life problems involving fractions |
How do we carry out combined operations on fractions?
|
-KLB Grade 8 Mathematics pg. 11
-Fraction models -Digital resources -KLB Grade 8 Mathematics pg. 13 |
-Observation
-Oral questions
-Written tests
|
|
| 2 | 1 |
Numbers
|
Fractions - Operations on fractions in real-life situations
Fractions - Using IT devices for learning fractions |
By the end of the
lesson, the learner
should be able to:
-Work out operations on fractions in real-life situations -Apply fractions in solving problems -Appreciate the use of fractions in daily life |
-Discuss and carry out operations on fractions from activities such as shopping -Solve real-life problems involving fractions -Apply fractions in real-life situations |
How do we use fractions in real life situations?
|
-KLB Grade 8 Mathematics pg. 14
-Fraction models -Digital resources -Internet access |
-Observation
-Oral questions
-Written tests
|
|
| 2 | 2 |
Numbers
|
Fractions - Consolidation and assessment
Decimals - Conversion of fractions to decimals Decimals - Identifying recurring decimals |
By the end of the
lesson, the learner
should be able to:
-Solve various problems involving fractions -Apply fractions in real-life situations -Appreciate the importance of fractions |
-Review combined operations on fractions -Solve a variety of problems involving fractions -Apply fractions in real-life contexts |
How do we use fractions in real life situations?
|
-KLB Grade 8 Mathematics pg. 14
-Fraction models -Assessment tools -Decimal charts -Digital resources -KLB Grade 8 Mathematics pg. 17 |
-Written tests
-Problem-solving tasks
-Self-assessment
|
|
| 2 | 3 |
Numbers
|
Decimals - Converting recurring decimals to fractions
Decimals - Rounding off decimal numbers |
By the end of the
lesson, the learner
should be able to:
-Convert recurring decimals to fractions -Apply algebraic methods in conversion -Value the relationship between fractions and decimals |
-Practice converting recurring decimals to fractions -Use algebraic methods to convert recurring decimals to fractions -Solve problems involving recurring decimals |
How do we convert recurring decimals to fractions?
|
-KLB Grade 8 Mathematics pg. 19
-Conversion charts -Digital resources -KLB Grade 8 Mathematics pg. 20 -Decimal charts |
-Observation
-Oral questions
-Written assignments
|
|
| 2 | 4 |
Numbers
|
Decimals - Expressing numbers to significant figures
Decimals - Expressing numbers in standard form |
By the end of the
lesson, the learner
should be able to:
-Express numbers to a required significant figure -Apply significant figures in real-life situations -Appreciate the importance of significant figures |
-Write decimal and whole numbers to given significant figures -Identify significant digits in given numbers -Apply rules for determining significant figures |
How do we express numbers to significant figures?
|
-KLB Grade 8 Mathematics pg. 21
-Number charts -Digital resources -KLB Grade 8 Mathematics pg. 23 |
-Observation
-Oral questions
-Written assignments
|
|
| 2 | 5 |
Numbers
|
Decimals - Combined operations on decimals
Decimals - Applications of decimals in real life |
By the end of the
lesson, the learner
should be able to:
-Carry out combined operations on decimals -Apply the correct order of operations -Value the importance of accurate calculations |
-Work out combined operations on decimals in the correct order -Apply BODMAS rule in decimal operations -Solve real-life problems involving decimal operations |
How do we use decimals in real life situations?
|
-KLB Grade 8 Mathematics pg. 23
-Decimal charts -Digital resources -KLB Grade 8 Mathematics pg. 25 -Real-life objects |
-Observation
-Oral questions
-Written assignments
|
|
| 3 | 1 |
Numbers
|
Squares and Square Roots - Working out squares from tables
Squares and Square Roots - Squares of numbers greater than ten |
By the end of the
lesson, the learner
should be able to:
-Work out squares of numbers from tables -Apply squares in real-life situations -Show interest in working with squared numbers |
-Read and write the squares of numbers from tables -Use table of squares to find squares of numbers -Apply squares in solving real-life problems |
What are squares and square roots of numbers?
|
-KLB Grade 8 Mathematics pg. 25
-Table of squares -Digital resources -KLB Grade 8 Mathematics pg. 29 |
-Observation
-Oral questions
-Written assignments
|
|
| 3 | 2 |
Numbers
|
Squares and Square Roots - Working out square roots from tables
Squares and Square Roots - Square roots of numbers greater than 100 Squares and Square Roots - Using a calculator for squares |
By the end of the
lesson, the learner
should be able to:
-Work out square roots of numbers from tables -Apply square roots in problem-solving -Show interest in working with square roots |
-Read and write the square roots of numbers from tables -Use table of square roots to find square roots -Apply square roots in solving real-life problems |
Where do we apply squares and square roots in real life situations?
|
-KLB Grade 8 Mathematics pg. 31
-Table of square roots -Digital resources -KLB Grade 8 Mathematics pg. 33 -KLB Grade 8 Mathematics pg. 35 -Calculators |
-Observation
-Oral questions
-Written assignments
|
|
| 3 | 3 |
Numbers
|
Squares and Square Roots - Using a calculator for square roots
Rates, Ratios, Proportion and Percentages - Identifying rates |
By the end of the
lesson, the learner
should be able to:
-Work out square roots of numbers using a calculator -Apply calculator skills effectively -Appreciate technology in mathematical calculations |
-Practice working out square roots using a calculator -Compare results from calculator with table values -Solve real-life problems involving square roots |
How do we use calculators to find square roots?
|
-KLB Grade 8 Mathematics pg. 36
-Calculators -Digital resources -Mobile phones (if available) -Rate charts |
-Observation
-Oral questions
-Written tests
|
|
| 3 | 4 |
Numbers
|
Rates, Ratios, Proportion and Percentages - Working out rates
Rates, Ratios, Proportion and Percentages - Expressing fractions as ratios |
By the end of the
lesson, the learner
should be able to:
-Work out rates in real life situations -Apply rates in problem-solving -Value the importance of rates in daily life |
-Find cost per unit for various items -Calculate rates for different quantities -Solve real-life problems involving rates |
How do we calculate rates?
|
-KLB Grade 8 Mathematics pg. 37
-Rate charts -Digital resources -KLB Grade 8 Mathematics pg. 39 -Fraction models |
-Observation
-Oral questions
-Written tests
|
|
| 3 | 5 |
Numbers
|
Rates, Ratios, Proportion and Percentages - Comparing two ratios
Rates, Ratios, Proportion and Percentages - Comparing three ratios |
By the end of the
lesson, the learner
should be able to:
-Compare two ratios in different situations -Determine which ratio is greater -Appreciate the importance of comparing ratios |
-Use strips of paper to compare ratios -Express ratios as fractions with common denominators -Compare numerators to determine the greater ratio |
How do we compare ratios?
|
-KLB Grade 8 Mathematics pg. 41
-Paper strips -Digital resources -KLB Grade 8 Mathematics pg. 43 -Ratio charts |
-Observation
-Oral questions
-Written tests
|
|
| 4 | 1 |
Numbers
|
Rates, Ratios, Proportion and Percentages - Dividing quantities in given ratios
Rates, Ratios, Proportion and Percentages - Working out ratios |
By the end of the
lesson, the learner
should be able to:
-Divide quantities in given ratios -Apply ratio division in real-life situations -Value fair division of resources |
-Discuss and share quantities of concrete objects in different ratios -Divide a quantity into parts proportional to the ratio -Solve real-life problems involving division in a ratio |
How do we divide quantities in a given ratio?
|
-KLB Grade 8 Mathematics pg. 46
-Concrete objects -Digital resources -KLB Grade 8 Mathematics pg. 48 -Ratio charts |
-Observation
-Oral questions
-Written tests
|
|
| 4 | 2 |
Numbers
|
Rates, Ratios, Proportion and Percentages - Ratio increase
Rates, Ratios, Proportion and Percentages - Ratio decrease |
By the end of the
lesson, the learner
should be able to:
-Work out increase of quantities using ratios -Apply ratio increase in real-life situations -Value the importance of ratios in quantity changes |
-Increase quantities in given ratios -Find quantities after ratio increases -Solve real-life problems involving ratio increases |
How do we use ratios to increase quantities?
|
-KLB Grade 8 Mathematics pg. 50
-Ratio charts -Digital resources -KLB Grade 8 Mathematics pg. 51 |
-Observation
-Oral questions
-Written tests
|
|
| 4 | 3 |
Numbers
|
Rates, Ratios, Proportion and Percentages - Percentage change
Rates, Ratios, Proportion and Percentages - Direct proportion Rates, Ratios, Proportion and Percentages - Working out direct proportions |
By the end of the
lesson, the learner
should be able to:
-Work out percentage change of given quantities -Calculate percentage increase and decrease -Appreciate percentage change in real-life contexts |
-Discuss and determine percentage increase and decrease -Calculate percentage change using formulas -Solve real-life problems involving percentage change |
How do we calculate percentage change?
|
-KLB Grade 8 Mathematics pg. 52
-Percentage charts -Digital resources -KLB Grade 8 Mathematics pg. 53 -Proportion charts -KLB Grade 8 Mathematics pg. 54 |
-Observation
-Oral questions
-Written tests
|
|
| 4 | 4 |
Numbers
|
Rates, Ratios, Proportion and Percentages - Indirect proportion
Rates, Ratios, Proportion and Percentages - Working out indirect proportions |
By the end of the
lesson, the learner
should be able to:
-Identify indirect proportions in real life situations -Recognize when products of quantities remain constant -Show interest in inverse relationships |
-Use hourglass to show indirect relationships -Identify when one quantity increases as another decreases -Create tables of indirectly proportional quantities |
How do we identify indirect proportion?
|
-KLB Grade 8 Mathematics pg. 54
-Hourglass (if available) -Digital resources -KLB Grade 8 Mathematics pg. 55 -Proportion charts |
-Observation
-Oral questions
-Written assignments
|
|
| 4 | 5 |
Algebra
|
Algebraic Expressions - Factorization of algebraic expressions
Algebraic Expressions - Factorization using the HCF |
By the end of the
lesson, the learner
should be able to:
-Identify like terms in algebraic expressions -Find the highest common factor of terms in expressions -Show interest in learning algebraic expressions |
-Discuss and identify like and unlike terms in expressions -Find the highest common factor of terms in algebraic expressions -Write algebraic expressions for real-life situations |
How do we factorize algebraic expressions?
|
-KLB Grade 8 Mathematics pg. 56
-Algebra tiles -Digital resources -KLB Grade 8 Mathematics pg. 57 |
-Observation
-Oral questions
-Written assignments
|
|
| 5 | 1 |
Algebra
|
Algebraic Expressions - Addition and subtraction of algebraic fractions
Algebraic Expressions - Simplification of algebraic fractions by factorization |
By the end of the
lesson, the learner
should be able to:
-Add algebraic fractions -Subtract algebraic fractions -Show interest in working with algebraic fractions |
-Discuss and use the correct methods to add algebraic fractions -Find the LCM of denominators in algebraic fractions -Practice addition and subtraction of algebraic fractions |
How do we simplify algebraic expressions?
|
-KLB Grade 8 Mathematics pg. 58
-Algebra charts -Digital resources -KLB Grade 8 Mathematics pg. 59 |
-Observation
-Oral questions
-Written assignments
|
|
| 5 | 2 |
Algebra
|
Algebraic Expressions - Evaluating algebraic expressions
Algebraic Expressions - Applications of algebraic expressions |
By the end of the
lesson, the learner
should be able to:
-Evaluate algebraic expressions by substituting values -Apply substitution to solve problems -Show interest in evaluating expressions |
-Discuss how to substitute given numerical values in expressions -Practice evaluating expressions with given values -Apply substitution to real-life situations |
How do we evaluate algebraic expressions?
|
-KLB Grade 8 Mathematics pg. 60
-Algebra charts -Digital resources -KLB Grade 8 Mathematics pg. 61 -Internet access |
-Observation
-Oral questions
-Written assignments
|
|
| 5 | 3 |
Algebra
|
Linear Equations - Forming linear equations in two unknowns
Linear Equations - Forming related linear equations Linear Equations - Solving linear equations by substitution method |
By the end of the
lesson, the learner
should be able to:
-Form linear equations in two unknowns -Translate word problems into equations -Show interest in linear equations |
-Role play activities such as shopping on two different items to form linear equations -Represent price of items using letters -Form equations from real-life situations |
How do we solve linear equations in two unknowns?
|
-KLB Grade 8 Mathematics pg. 62
-Shop setup materials -Digital resources -KLB Grade 8 Mathematics pg. 64 -KLB Grade 8 Mathematics pg. 66 -Equation charts |
-Observation
-Oral questions
-Written assignments
|
|
| 5 | 4 |
Algebra
|
Linear Equations - More on substitution method
Linear Equations - Solving linear equations by elimination method |
By the end of the
lesson, the learner
should be able to:
-Apply substitution method to various equations -Solve complex simultaneous equations -Appreciate the substitution method |
-Solve different types of linear equations using substitution -Apply substitution method to practical problems -Compare solutions with other methods |
How do we apply substitution method to different equations?
|
-KLB Grade 8 Mathematics pg. 67
-Equation charts -Digital resources -KLB Grade 8 Mathematics pg. 68 |
-Observation
-Oral questions
-Written tests
|
|
| 5 | 5 |
Algebra
|
Linear Equations - More on elimination method
Linear Equations - Applying linear equations in real-life situations |
By the end of the
lesson, the learner
should be able to:
-Apply elimination method to various equations -Solve complex simultaneous equations -Appreciate the elimination method |
-Solve different types of linear equations using elimination -Apply elimination method to practical problems -Compare elimination with substitution method |
When do we prefer elimination over substitution?
|
-KLB Grade 8 Mathematics pg. 70
-Equation charts -Digital resources -Internet access |
-Observation
-Oral questions
-Written tests
|
|
| 6 | 1 |
Measurements
|
Circles - Working out the circumference of a circle
Circles - Working out the circumference of circles in real life |
By the end of the
lesson, the learner
should be able to:
-Work out the circumference of a circle -Apply the formula for circumference in calculations -Show interest in learning about circles |
-Wrap a paper strip around a cylinder and mark the start and end points -Measure the distance between the marked points -Calculate circumference using the formula C = πd -Solve real-life problems involving circumference |
How do we determine the circumference of a circle?
|
-KLB Grade 8 Mathematics pg. 71
-Circular objects -Measuring tape or ruler -KLB Grade 8 Mathematics pg. 73 -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
| 6 | 2 |
Measurements
|
Circles - Working out the length of an arc
Circles - Working out the length of an arc in real life |
By the end of the
lesson, the learner
should be able to:
-Work out the length of an arc of a circle -Apply the formula for arc length in calculations -Show interest in arc lengths |
-Draw a circle and cut it out -Fold the cut-out into four equal parts -Relate the arc length to the circumference -Calculate arc length using the formula -Use cut-outs to relate arc length to the circumference |
How do we determine the length of an arc of a circle?
|
-KLB Grade 8 Mathematics pg. 73
-Paper -Pair of compasses -KLB Grade 8 Mathematics pg. 74 -Circular objects -Protractors |
-Observation
-Oral questions
-Written assignments
|
|
| 6 | 3 |
Measurements
|
Circles - Calculating the perimeter of a sector
Area - Calculating the area of a circle |
By the end of the
lesson, the learner
should be able to:
-Calculate the perimeter of a sector of a circle -Apply the formula for sector perimeter -Show interest in using sectors |
-Draw a circle and cut out the circle along its boundary -Fold the circular cut-out into four equal parts and cut out one part -Calculate the arc length of the sector -Add the sum of the two radii to the arc length -Determine the perimeter of the sector |
How do we use sectors of a circle in real life situations?
|
-KLB Grade 8 Mathematics pg. 75
-Paper -Pair of compasses -Scissors -KLB Grade 8 Mathematics pg. 77 -Graph paper |
-Observation
-Oral questions
-Written assignments
|
|
| 6 | 4 |
Measurements
|
Area - Working out the area of a circle in real life
Area - Working out the area of a sector Area - Working out the area of a sector in real life |
By the end of the
lesson, the learner
should be able to:
-Apply knowledge of circular area in real-life contexts -Calculate areas of circular objects -Show interest in circular areas |
-Discuss and work out areas of different circles -Measure radius and calculate area -Solve real-life problems involving circular area |
How do we apply knowledge of circular area?
|
-KLB Grade 8 Mathematics pg. 79
-Circular objects -Measuring tools -KLB Grade 8 Mathematics pg. 80 -Paper -Pair of compasses -Protractors -KLB Grade 8 Mathematics pg. 81 -Sector models |
-Observation
-Oral questions
-Written tests
|
|
| 6 | 5 |
Measurements
|
Area - Working out the surface area of cubes
Area - Working out the surface area of cuboids |
By the end of the
lesson, the learner
should be able to:
-Work out the surface area of cubes -Apply the formula for cube surface area -Value the importance of surface area |
-Use a model of a cube to identify faces -Measure edges and calculate face areas -Find the sum of areas of all faces -Apply the formula for cube surface area |
How do we calculate the surface area of a cube?
|
-KLB Grade 8 Mathematics pg. 82
-Cube models -Measuring tools -KLB Grade 8 Mathematics pg. 84 -Cuboid models |
-Observation
-Oral questions
-Written assignments
|
|
| 7 | 1 |
Measurements
|
Area - Working out the surface area of cylinders
Area - Working out the surface area of triangular prisms |
By the end of the
lesson, the learner
should be able to:
-Work out the surface area of cylinders -Apply the formula for cylinder surface area -Appreciate cylinders in everyday life |
-Make a paper model of a cylinder -Open the model to identify faces -Calculate area of circular ends and curved face -Apply the formula for cylinder surface area |
How do we calculate the surface area of a cylinder?
|
-KLB Grade 8 Mathematics pg. 86
-Cylindrical objects -Paper -Scissors -KLB Grade 8 Mathematics pg. 87 -Triangular prism models -Measuring tools |
-Observation
-Oral questions
-Written tests
|
|
| 7 | 2 |
Measurements
|
Area - Working out the area of irregular shapes
Money - Identifying interest and principal |
By the end of the
lesson, the learner
should be able to:
-Work out the area of irregular shapes using square grids -Estimate areas by counting grid squares -Value the importance of area estimation |
-Trace irregular shaped objects on square grids -Count complete and partial squares -Estimate areas by adding complete squares and half of partial squares -Compare estimated areas with regular shapes |
How do we determine the area of irregular shapes?
|
-KLB Grade 8 Mathematics pg. 88
-Square grid paper -Irregular objects -Tracing paper -KLB Grade 8 Mathematics pg. 89 -Financial brochures -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
| 7 | 3 |
Measurements
|
Money - Calculating simple interest
Money - More on simple interest |
By the end of the
lesson, the learner
should be able to:
-Calculate simple interest in real-life situations -Apply the formula for simple interest -Value the importance of interest calculations |
-Identify principal, rate, and time in scenarios -Apply the formula I = PRT/100 -Solve problems involving simple interest -Discuss terms of interest on deposits |
What is interest in money?
|
-KLB Grade 8 Mathematics pg. 91
-Calculator -Digital resources -KLB Grade 8 Mathematics pg. 92 |
-Observation
-Oral questions
-Written tests
|
|
| 7 | 4 |
Measurements
|
Money - Calculating compound interest for one year
Money - Calculating compound interest for two years |
By the end of the
lesson, the learner
should be able to:
-Calculate compound interest for one year -Understand the concept of compounding -Appreciate the impact of compounding |
-Calculate interest for the first year -Find the total amount at the end of the year -Compare simple and compound interest for one year -Discuss the effect of compounding |
How does compound interest differ from simple interest?
|
-KLB Grade 8 Mathematics pg. 93
-Calculator -Digital resources -KLB Grade 8 Mathematics pg. 94 |
-Observation
-Oral questions
-Written tests
|
|
| 7 | 5 |
Measurements
|
Money - Calculating compound interest for three years
Money - Working out appreciation Money - Working out depreciation |
By the end of the
lesson, the learner
should be able to:
-Calculate compound interest for three years -Apply step-by-step calculation method -Value long-term financial planning |
-Calculate interest year by year -Find total compound interest over three years -Compare with simple interest -Discuss the advantages of compound interest |
How does compound interest grow over time?
|
-KLB Grade 8 Mathematics pg. 95
-Calculator -Digital resources -KLB Grade 8 Mathematics pg. 96 -KLB Grade 8 Mathematics pg. 97 |
-Observation
-Oral questions
-Written tests
|
|
| 8 | 1 |
Measurements
Geometry |
Money - Working out hire purchase
Geometrical Constructions - Construction of parallel lines |
By the end of the
lesson, the learner
should be able to:
-Work out hire purchase costs -Compare cash price and hire purchase price -Make informed financial decisions |
-Visit shops with hire purchase options or use digital resources -Gather information on deposit, cash price, and installments -Calculate total hire purchase cost -Compare with cash price and determine the extra cost |
How do we pay for goods on hire purchase?
|
-KLB Grade 8 Mathematics pg. 98
-Calculator -Brochures from shops -Digital resources -KLB Grade 8 Mathematics pg. 100 -Pair of compasses -Ruler -Drawing paper |
-Observation
-Oral questions
-Written assignments
|
|
| 8 | 2 |
Geometry
|
Geometrical Constructions - Construction of parallel lines using a set square
Geometrical Constructions - Construction of perpendicular lines from a point |
By the end of the
lesson, the learner
should be able to:
-Construct parallel lines using a set square and ruler -Apply construction in real-life situations -Value the importance of parallel lines |
-Draw line ST and point P above the line -Place one of the shorter edges of a set square along ST -Put a ruler along the other edge of the set square to touch P -Slide the set square along the ruler towards P -Draw a straight line along the edge to create a parallel line |
Where do we use polygons in real life situations?
|
-KLB Grade 8 Mathematics pg. 103
-Set square -Ruler -Drawing paper -KLB Grade 8 Mathematics pg. 104 -Pair of compasses |
-Observation
-Oral questions
-Written tests
|
|
| 8 | 3 |
Geometry
|
Geometrical Constructions - Construction of perpendicular lines through a point
Geometrical Constructions - Dividing a line proportionally |
By the end of the
lesson, the learner
should be able to:
-Construct perpendicular lines through a point on a given line -Apply perpendicular construction in solving problems -Value the use of perpendicular lines |
-Draw line EF and point G on the line -Using G as center and suitable radius, draw two arcs to cut EF at A and B -With A and B as centers and using the same radius, construct two pairs of intersecting arcs on either side of EF -Join C to D to form a perpendicular line through G |
What is the relationship between perpendicular lines?
|
-KLB Grade 8 Mathematics pg. 105
-Pair of compasses -Ruler -Drawing paper -KLB Grade 8 Mathematics pg. 106 -Set square |
-Observation
-Oral questions
-Written tests
|
|
| 8 | 4 |
Geometry
|
Geometrical Constructions - Identifying angle properties of polygons
Geometrical Constructions - Construction of a regular triangle |
By the end of the
lesson, the learner
should be able to:
-Identify angle properties of polygons -Calculate interior and exterior angles -Show interest in polygon properties |
-Discuss the relationship between the sum of interior angles and number of sides -Fill in a table showing the sum of interior angles for different polygons -Relate the number of right angles to the number of sides -Calculate individual angles in regular polygons |
What are the properties of different polygons?
|
-KLB Grade 8 Mathematics pg. 108
-Polygon models -Protractor -Calculator -KLB Grade 8 Mathematics pg. 112 -Pair of compasses -Ruler |
-Observation
-Oral questions
-Written tests
|
|
| 8 | 5 |
Geometry
|
Geometrical Constructions - Construction of a regular quadrilateral
Geometrical Constructions - Construction of a regular pentagon Geometrical Constructions - Construction of a regular hexagon |
By the end of the
lesson, the learner
should be able to:
-Construct a regular quadrilateral (square) -Apply square construction in real-life situations -Show interest in regular quadrilaterals |
-Draw line AB of required length -Construct perpendicular lines at A and B -With A as center and radius equal to side length, mark point D on the perpendicular -With B as center and radius equal to side length, mark point C on the perpendicular -Join D to C to complete the square |
What are the applications of regular polygons?
|
-KLB Grade 8 Mathematics pg. 113
-Pair of compasses -Ruler -Set square -KLB Grade 8 Mathematics pg. 114 -Protractor -KLB Grade 8 Mathematics pg. 115 |
-Observation
-Oral questions
-Written tests
|
|
| 9 | 1 |
Geometry
|
Geometrical Constructions - Construction of irregular polygons
Geometrical Constructions - Construction of circles passing through vertices |
By the end of the
lesson, the learner
should be able to:
-Construct irregular polygons -Apply irregular polygon construction in real-life situations -Value the use of irregular polygons |
-Given the measurements of sides and angles, draw the first side -Use measurements to construct each subsequent side and angle -Complete the polygon by joining the last vertex to the first -Verify measurements of all sides and angles |
How do we construct irregular polygons?
|
-KLB Grade 8 Mathematics pg. 117
-Pair of compasses -Ruler -Protractor -KLB Grade 8 Mathematics pg. 123 |
-Observation
-Oral questions
-Written assignments
|
|
| 9 | 2 |
Geometry
|
Coordinates and Graphs - Drawing and labeling a Cartesian plane
Coordinates and Graphs - Identifying points on the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
-Draw a labelled Cartesian plane -Identify different parts of the Cartesian plane -Show interest in Cartesian planes |
-Draw a horizontal x-axis and vertical y-axis -Mark the origin where the axes intersect -Use a scale to mark positive and negative values on both axes -Label the axes and quadrants |
How do we plot coordinates on a Cartesian plane?
|
-KLB Grade 8 Mathematics pg. 128
-Graph paper -Ruler -Digital resources -KLB Grade 8 Mathematics pg. 129 -Cartesian plane charts |
-Observation
-Oral questions
-Written assignments
|
|
| 9 |
Midterm break |
||||||||
| 10 | 1 |
Geometry
|
Coordinates and Graphs - Plotting points on the Cartesian plane
Coordinates and Graphs - Generating table of values for linear equations |
By the end of the
lesson, the learner
should be able to:
-Plot points on the Cartesian plane -Apply coordinate plotting in real-life situations -Show interest in coordinate systems |
-Draw a Cartesian plane with appropriate scale -Given ordered pairs, locate the x-coordinate on the x-axis -Locate the y-coordinate on the y-axis -Mark the point where the vertical and horizontal lines from these coordinates meet |
Why are coordinates important in real life?
|
-KLB Grade 8 Mathematics pg. 130
-Graph paper -Ruler -Digital resources -KLB Grade 8 Mathematics pg. 131 -Exercise books -Calculator |
-Observation
-Oral questions
-Written assignments
|
|
| 10 | 2 |
Geometry
|
Coordinates and Graphs - Determining appropriate scale
Coordinates and Graphs - Drawing linear graphs (I) |
By the end of the
lesson, the learner
should be able to:
-Determine an appropriate scale for a linear equation -Convert actual values to scale values -Show interest in scale selection |
-Analyze the range of x and y values in the table -Choose a scale that allows all points to fit on the graph paper -Convert actual values to appropriate scale values -Discuss the importance of suitable scales |
How do we choose an appropriate scale?
|
-KLB Grade 8 Mathematics pg. 133
-Graph paper -Calculator -Digital resources -KLB Grade 8 Mathematics pg. 135 -Ruler -Pencil |
-Observation
-Oral questions
-Written assignments
|
|
| 10 | 3 |
Geometry
|
Coordinates and Graphs - Drawing linear graphs (II)
Coordinates and Graphs - Solving simultaneous equations graphically (I) |
By the end of the
lesson, the learner
should be able to:
-Draw linear graphs for different equations -Identify key features of linear graphs -Show interest in graphical representations |
-Generate tables of values for different linear equations -Plot the points on a Cartesian plane -Draw the lines representing the equations -Discuss the gradient and y-intercept of each line |
How does changing the equation affect the graph?
|
-KLB Grade 8 Mathematics pg. 136
-Graph paper -Ruler -Digital resources -KLB Grade 8 Mathematics pg. 137 |
-Observation
-Oral questions
-Written assignments
|
|
| 10 | 4 |
Geometry
|
Coordinates and Graphs - Solving simultaneous equations graphically (II)
Coordinates and Graphs - Applying simultaneous equations in real life (I) Coordinates and Graphs - Applying simultaneous equations in real life (II) |
By the end of the
lesson, the learner
should be able to:
-Solve more complex simultaneous equations -Determine accurate solutions from graphs -Show interest in solution techniques |
-Generate tables of values for equations with different forms -Plot both equations on the same Cartesian plane -Identify the point of intersection with precision -Interpret the meaning of the solution |
What are the advantages of graphical solutions?
|
-KLB Grade 8 Mathematics pg. 138
-Graph paper -Ruler -Calculator -KLB Grade 8 Mathematics pg. 140 -Digital resources -KLB Grade 8 Mathematics pg. 141 |
-Observation
-Oral questions
-Written assignments
|
|
| 10 | 5 |
Geometry
|
Coordinates and Graphs - Solving practical problems using graphs
Scale Drawing - Representing length to a given scale |
By the end of the
lesson, the learner
should be able to:
-Solve practical problems using graphs -Make decisions based on graphical solutions -Appreciate graphical problem-solving |
-Study practical problems from different contexts -Model the problems using simultaneous equations -Solve graphically and analyze the solutions -Compare graphical solutions with algebraic methods |
Why are graphs useful in problem-solving?
|
-KLB Grade 8 Mathematics pg. 142
-Graph paper -Calculator -Digital resources -KLB Grade 8 Mathematics pg. 143 -Measuring tape/ruler -Various objects -Drawing materials |
-Observation
-Oral questions
-Written tests
|
|
| 11 | 1 |
Geometry
|
Scale Drawing - Converting actual length to scale length
Scale Drawing - Converting scale length to actual length |
By the end of the
lesson, the learner
should be able to:
-Convert actual length to scale length -Apply conversion in real-life situations -Value the importance of scale conversion |
-Measure lengths of objects like classrooms, tables, etc. -Convert actual measurements to scale lengths using different scales -Draw the objects using scale lengths -Compare drawings made with different scales |
Where do we use scale drawing in real life situations?
|
-KLB Grade 8 Mathematics pg. 145
-Measuring tape/ruler -Calculator -Drawing materials -KLB Grade 8 Mathematics pg. 147 -Scale drawings -Ruler |
-Observation
-Oral questions
-Written tests
|
|
| 11 | 2 |
Geometry
|
Scale Drawing - Interpreting linear scales in statement form
Scale Drawing - Writing linear scales in statement form |
By the end of the
lesson, the learner
should be able to:
-Interpret linear scales in statement form -Understand statement scales -Value the use of statement scales |
-Analyze diagrams with given actual and scale lengths -Determine the relationship between actual and scale lengths -Express the scale in statement form: "1 cm represents x units" -Apply the scale to find other measurements |
What does a scale statement tell us?
|
-KLB Grade 8 Mathematics pg. 148
-Scale diagrams -Ruler -Calculator -KLB Grade 8 Mathematics pg. 149 -Various objects -Measuring tools |
-Observation
-Oral questions
-Written tests
|
|
| 11 | 3 |
Geometry
|
Scale Drawing - Interpreting linear scales in ratio form
Scale Drawing - Writing linear scales in ratio form |
By the end of the
lesson, the learner
should be able to:
-Interpret linear scales in ratio form -Understand ratio scales -Value the use of ratio scales |
-Study tables with scale lengths and actual lengths -Convert both measurements to the same units -Express the relationship as a ratio in the form 1:n -Use the ratio scale to find other measurements |
How do we read and use ratio scales?
|
-KLB Grade 8 Mathematics pg. 150
-Scale diagrams -Ruler -Calculator -KLB Grade 8 Mathematics pg. 151 -Various objects -Measuring tools |
-Observation
-Oral questions
-Written tests
|
|
| 11 | 4 |
Geometry
|
Scale Drawing - Converting linear scale from statement to ratio form
Scale Drawing - Converting linear scale from ratio to statement form Scale Drawing - Making scale drawings (I) |
By the end of the
lesson, the learner
should be able to:
-Convert linear scales from statement to ratio form -Apply conversion in real-life situations -Value different forms of scale representation |
-Study scales in statement form (1 cm represents x units) -Convert all measurements to the same units -Express the relationship as a ratio in the form 1:n -Verify that both forms represent the same scale |
How are statement and ratio scales related?
|
-KLB Grade 8 Mathematics pg. 152
-Maps with statement scales -Calculator -Digital resources -KLB Grade 8 Mathematics pg. 153 -Maps with ratio scales -KLB Grade 8 Mathematics pg. 155 -Drawing paper -Ruler -Various objects |
-Observation
-Oral questions
-Written tests
|
|
| 11 | 5 |
Geometry
|
Scale Drawing - Making scale drawings (II)
Scale Drawing - Solving problems using scale drawings |
By the end of the
lesson, the learner
should be able to:
-Make more complex scale drawings -Apply scale drawing principles -Show interest in scale drawing applications |
-Measure objects with irregular or complex shapes -Choose suitable scales based on drawing space and object size -Convert actual measurements to scale lengths -Create detailed and accurate scale drawings |
How do professionals use scale drawings?
|
-KLB Grade 8 Mathematics pg. 156
-Drawing paper -Ruler -Protractor -KLB Grade 8 Mathematics pg. 157 -Scale drawings -Calculator |
-Observation
-Oral questions
-Written assignments
|
|
| 12 | 1 |
Geometry
|
Scale Drawing - Applications of scale drawings
Common Solids - Identification of common solids |
By the end of the
lesson, the learner
should be able to:
-Apply scale drawings in various contexts -Appreciate real-world applications -Show interest in practical uses of scale drawings |
-Explore applications in architecture, engineering, cartography, etc. -Examine scale drawings from different fields -Discuss the importance of scale in different professions -Create scale drawings for practical purposes |
How do different professions use scale drawings?
|
-KLB Grade 8 Mathematics pg. 157
-Maps -Blueprint samples -Digital resources -KLB Grade 8 Mathematics pg. 158 -Common solid objects |
-Observation
-Oral questions
-Written assignments
|
|
| 12 | 2 |
Geometry
|
Common Solids - Characteristics of common solids
Common Solids - Nets of cube and cuboid |
By the end of the
lesson, the learner
should be able to:
-Describe characteristics of common solids -Differentiate between types of solids -Value the properties of geometric solids |
-Examine various solids: cubes, cuboids, prisms, pyramids, etc. -Identify and count faces, edges, and vertices -Determine the shapes of faces (triangular, rectangular, etc.) -Classify solids based on their properties |
What features define different types of solids?
|
-KLB Grade 8 Mathematics pg. 160
-Solid models -Digital resources -KLB Grade 8 Mathematics pg. 161 -Cardboard boxes -Scissors -Drawing materials |
-Observation
-Oral questions
-Written tests
|
|
| 12 | 3 |
Geometry
|
Common Solids - Nets of pyramids
Common Solids - Nets of cylinders |
By the end of the
lesson, the learner
should be able to:
-Sketch nets of pyramids -Understand the components of pyramids -Value the relationship between nets and solids |
-Study pyramids with different base shapes -Cut pyramids along edges to create nets -Identify the shapes of faces in the nets -Draw nets of pyramids with given dimensions |
How do nets help us understand solids?
|
-KLB Grade 8 Mathematics pg. 163
-Pyramid models -Scissors -Drawing materials -KLB Grade 8 Mathematics pg. 164 -Cylindrical objects -Ruler |
-Observation
-Oral questions
-Written tests
|
|
| 12 | 4 |
Geometry
|
Common Solids - Nets of cones
Common Solids - Surface area of cubes |
By the end of the
lesson, the learner
should be able to:
-Sketch nets of cones -Understand the components of cones -Value the relationship between nets and solids |
-Examine conical objects -Identify the components (circular base and curved surface) -Draw the net showing the sector for curved surface and circular base -Calculate the sector angle based on slant height and radius |
What determines the shape of a cone's net?
|
-KLB Grade 8 Mathematics pg. 166
-Conical objects -Compass -Drawing materials -Cube models -Calculator |
-Observation
-Oral questions
-Written tests
|
|
| 12 | 5 |
Geometry
|
Common Solids - Surface area of cuboids
Common Solids - Surface area of cylinders Common Solids - Surface area of triangular prisms |
By the end of the
lesson, the learner
should be able to:
-Work out surface area of cuboids from nets -Apply the formula for cuboid surface area -Value surface area applications |
-Draw nets of cuboids with given dimensions -Calculate the area of each rectangular face -Find the sum of areas of all faces -Derive and apply the formula: SA = 2(lb + lh + bh) |
What's the relationship between dimensions and surface area?
|
-KLB Grade 8 Mathematics pg. 168
-Cuboid models -Calculator -Drawing materials -KLB Grade 8 Mathematics pg. 170 -Cylinder models -KLB Grade 8 Mathematics pg. 171 -Triangular prism models |
-Observation
-Oral questions
-Written tests
|
|
| 13 | 1 |
Geometry
|
Common Solids - Distance between points on solid surfaces
Common Solids - More on distance between points |
By the end of the
lesson, the learner
should be able to:
-Determine the distance between points on solid surfaces -Apply shortest path principles -Show interest in practical applications |
-Draw nets of solids with marked points -Trace the path between points on the net -Measure the shortest distance between points -Verify using the solid model |
How do we find distances on solid surfaces?
|
-KLB Grade 8 Mathematics pg. 172
-Solid models -Ruler -String -KLB Grade 8 Mathematics pg. 174 -Calculator |
-Observation
-Oral questions
-Written assignments
|
|
| 13 | 2 |
Geometry
|
Common Solids - Making models of hollow solids
Common Solids - Making skeleton models |
By the end of the
lesson, the learner
should be able to:
-Make models of hollow solids -Apply knowledge of nets -Show interest in model making |
-Draw nets of solids on paper or cardboard -Cut out the nets along outlines -Fold along internal lines -Use glue or tape to join edges -Create hollow models of various solids |
How do architects and designers use geometric models?
|
-KLB Grade 8 Mathematics pg. 175
-Paper/cardboard -Scissors -Glue/tape -KLB Grade 8 Mathematics pg. 176 -Straws/wires -Clay/adhesive |
-Observation
-Oral questions
-Model creation
|
|
| 13 | 3 |
Geometry
|
Common Solids - Making compact solid models
Common Solids - Applications of solids |
By the end of the
lesson, the learner
should be able to:
-Make compact solid models -Apply geometric knowledge -Show interest in solid models |
-Use plasticine, clay, or other moldable materials -Create models of various solids -Use hollow models as molds for compact models -Compare different types of models |
How do we use common solids in real life?
|
-KLB Grade 8 Mathematics pg. 177
-Clay/plasticine -Containers -Tools for molding -Sample objects -Digital resources -Models |
-Observation
-Oral questions
-Model creation
|
|
| 13 | 4 |
Data Handling and Probability
|
Data Presentation and Interpretation - Drawing bar graphs
Data Presentation and Interpretation - Interpreting bar graphs |
By the end of the
lesson, the learner
should be able to:
-Draw bar graphs of data from real-life situations -Apply appropriate scales in drawing graphs -Show interest in bar graphs |
-Collect data on birth months of class members -Record data in a table -Choose a suitable scale for the graph -Draw bar graphs to represent the data -Compare graphs with other groups |
What are the different ways of representing data?
|
-KLB Grade 8 Mathematics pg. 178
-Graph paper -Ruler -Colored pencils -KLB Grade 8 Mathematics pg. 180 -Bar graph charts -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
| 13 | 5 |
Data Handling and Probability
|
Data Presentation and Interpretation - Drawing line graphs
Data Presentation and Interpretation - Interpreting line graphs Data Presentation and Interpretation - Identifying the mode |
By the end of the
lesson, the learner
should be able to:
-Draw line graphs of given data from real-life situations -Apply appropriate scales in line graphs -Show interest in line graph representation |
-Collect data on temperature at different times of day -Record data in a table -Choose a suitable scale for axes -Plot points accurately -Join points with straight lines to create a line graph |
How do we represent continuous data?
|
-KLB Grade 8 Mathematics pg. 183
-Graph paper -Ruler -Colored pencils -KLB Grade 8 Mathematics pg. 185 -Line graph charts -Digital resources -KLB Grade 8 Mathematics pg. 187 -Data sets -Calculator |
-Observation
-Oral questions
-Written assignments
|
|
| 14 | 1 |
Data Handling and Probability
|
Data Presentation and Interpretation - Mode of grouped data
Data Presentation and Interpretation - Calculating the mean |
By the end of the
lesson, the learner
should be able to:
-Find the mode of grouped data -Create frequency tables -Value the mode as a measure of central tendency |
-Organize data sets into frequency tables -Count occurrences of each value -Identify the value with highest frequency -Discuss the significance of mode in data analysis |
Why is the mode important in data analysis?
|
-KLB Grade 8 Mathematics pg. 190
-Data sets -Calculator -Digital resources -KLB Grade 8 Mathematics pg. 192 |
-Observation
-Oral questions
-Written tests
|
|
| 14 | 2 |
Data Handling and Probability
|
Data Presentation and Interpretation - Mean of grouped data
Data Presentation and Interpretation - Determining the median |
By the end of the
lesson, the learner
should be able to:
-Calculate the mean of grouped data -Apply frequency tables in mean calculation -Value the mean as a measure of central tendency |
-Create frequency tables for data sets -Multiply each value by its frequency -Find the sum of products -Divide by the total frequency (number of items) |
How do we calculate the mean of large data sets?
|
-KLB Grade 8 Mathematics pg. 193
-Data sets -Calculator -Digital resources -KLB Grade 8 Mathematics pg. 195 |
-Observation
-Oral questions
-Written tests
|
|
| 14 | 3 |
Data Handling and Probability
|
Data Presentation and Interpretation - Applications of measures of central tendency
Probability - Identifying events involving chance |
By the end of the
lesson, the learner
should be able to:
-Apply mean, median and mode in real-life contexts -Compare different measures of central tendency -Value data analysis in decision-making |
-Apply all three measures (mean, median, mode) to data sets -Compare the results and identify differences -Discuss when each measure is most appropriate -Analyze real-life data using appropriate measures |
How do we choose the right measure of central tendency?
|
-KLB Grade 8 Mathematics pg. 196
-Real-life data sets -Calculator -Digital resources -KLB Grade 8 Mathematics pg. 197 -Event cards |
-Observation
-Oral questions
-Written tests
|
|
| 14 | 4 |
Data Handling and Probability
|
Probability - Performing chance experiments
Probability - Writing experimental probability outcomes |
By the end of the
lesson, the learner
should be able to:
-Perform chance experiments in different situations -Record outcomes of chance experiments -Value experimental approaches to probability |
-Flip coins and record heads or tails outcomes -Toss dice and record number outcomes -Discuss possible outcomes of each experiment -Conduct multiple trials and record results |
What factors affect probability outcomes?
|
-KLB Grade 8 Mathematics pg. 198
-Coins -Dice -Spinner wheels -KLB Grade 8 Mathematics pg. 199 -Cards -Tally charts |
-Observation
-Oral questions
-Written tests
|
|
| 14 | 5 |
Data Handling and Probability
|
Probability - Expressing probability outcomes in fractions
Probability - Expressing probability in decimals Probability - Expressing probability in percentages Probability - Applications in real life |
By the end of the
lesson, the learner
should be able to:
-Express probability outcomes in fractions -Calculate probability as a ratio of favorable outcomes -Value fractional representation of probability |
-Flip coins multiple times and record outcomes -Count frequency of each outcome (heads/tails) -Express results as fractions of total trials -Compare experimental results with theoretical probability |
How do we calculate probability as a fraction?
|
-KLB Grade 8 Mathematics pg. 200
-Coins -Cards -Recording sheets -KLB Grade 8 Mathematics pg. 202 -Spinner wheels -Calculator -KLB Grade 8 Mathematics pg. 203 -Dice -KLB Grade 8 Mathematics pg. 204 -Real-life scenarios -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
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