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| WK | LSN | STRAND | SUB-STRAND | LESSON LEARNING OUTCOMES | LEARNING EXPERIENCES | KEY INQUIRY QUESTIONS | LEARNING RESOURCES | ASSESSMENT METHODS | REFLECTION |
|---|---|---|---|---|---|---|---|---|---|
| 2 | 3 |
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
|
|
| 2 | 4 |
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
|
|
| 2 | 5 |
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
|
|
| 3 | 1 |
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
|
|
| 3 | 2 |
Numbers
|
Fractions - Combined operations involving division and multiplication
Fractions - Combined operations involving brackets Fractions - Operations on fractions in real-life situations |
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 -KLB Grade 8 Mathematics pg. 14 |
-Observation
-Oral questions
-Written tests
|
|
| 3 | 3 |
Numbers
|
Fractions - Using IT devices for learning fractions
Fractions - Consolidation and assessment |
By the end of the
lesson, the learner
should be able to:
-Use IT devices for learning fractions -Play games involving operations on fractions -Show interest in using IT for learning |
-Play games of operations on fractions using IT devices -Use digital resources to solve fraction problems -Use IT for enjoyment while learning fractions |
How can we use technology to learn about fractions?
|
-KLB Grade 8 Mathematics pg. 14
-Digital resources -Internet access -Fraction models -Assessment tools |
-Observation
-Oral questions
-Digital activities
|
|
| 3 | 4 |
Numbers
|
Decimals - Conversion of fractions to decimals
Decimals - Identifying recurring decimals |
By the end of the
lesson, the learner
should be able to:
-Convert fractions to decimals -Apply conversion in real-life situations -Show interest in converting fractions to decimals |
-Practice converting fractions to decimals -Write equivalent fractions with denominator in the form 10ⁿ -Divide numerator by denominator to obtain decimal form |
How do we work out operations on decimals?
|
-KLB Grade 8 Mathematics pg. 14
-Decimal charts -Digital resources -KLB Grade 8 Mathematics pg. 17 |
-Observation
-Oral questions
-Written assignments
|
|
| 3 | 5 |
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
|
|
| 4 | 1 |
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
|
|
| 4 | 2 |
Numbers
|
Decimals - Combined operations on decimals
Decimals - Applications of decimals in real life Squares and Square Roots - Working out squares from tables |
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 -Table of squares |
-Observation
-Oral questions
-Written assignments
|
|
| 4 | 3 |
Numbers
|
Squares and Square Roots - Squares of numbers greater than ten
Squares and Square Roots - Working out square roots from tables |
By the end of the
lesson, the learner
should be able to:
-Work out squares of numbers greater than ten -Use standard form in finding squares -Appreciate the relationship between standard form and squares |
-Use standard form to find squares of large numbers -Find squares of numbers between zero and one -Apply squares in solving real-life problems |
How do we find squares of large numbers?
|
-KLB Grade 8 Mathematics pg. 29
-Table of squares -Digital resources -KLB Grade 8 Mathematics pg. 31 -Table of square roots |
-Observation
-Oral questions
-Written tests
|
|
| 4 | 4 |
Numbers
|
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 greater than 100 -Use standard form in finding square roots -Value the relationship between standard form and square roots |
-Use standard form to find square roots of large numbers -Find square roots of numbers between zero and one -Apply square roots in solving real-life problems |
How do we find square roots of large numbers?
|
-KLB Grade 8 Mathematics pg. 33
-Table of square roots -Digital resources -KLB Grade 8 Mathematics pg. 35 -Calculators |
-Observation
-Oral questions
-Written tests
|
|
| 4 | 5 |
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
|
|
| 5 | 1 |
Numbers
|
Rates, Ratios, Proportion and Percentages - Working out rates
Rates, Ratios, Proportion and Percentages - Expressing fractions as ratios Rates, Ratios, Proportion and Percentages - Comparing two 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 -KLB Grade 8 Mathematics pg. 41 -Paper strips |
-Observation
-Oral questions
-Written tests
|
|
| 5 | 2 |
Numbers
|
Rates, Ratios, Proportion and Percentages - Comparing three ratios
Rates, Ratios, Proportion and Percentages - Dividing quantities in given ratios |
By the end of the
lesson, the learner
should be able to:
-Compare three ratios in different situations -Arrange ratios in order of magnitude -Show interest in comparing multiple ratios |
-Write ratios as fractions with common denominators -Compare numerators to arrange ratios -Solve problems involving multiple ratios |
How do we compare multiple ratios?
|
-KLB Grade 8 Mathematics pg. 43
-Ratio charts -Digital resources -KLB Grade 8 Mathematics pg. 46 -Concrete objects |
-Observation
-Oral questions
-Written assignments
|
|
| 5 | 3 |
Numbers
|
Rates, Ratios, Proportion and Percentages - Working out ratios
Rates, Ratios, Proportion and Percentages - Ratio increase |
By the end of the
lesson, the learner
should be able to:
-Work out ratios in different situations -Find the ratio between two quantities -Show interest in expressing quantities as ratios |
-Find the ratio between two given quantities -Express quantities in simplest ratio form -Solve problems involving ratios |
How do we express quantities as ratios?
|
-KLB Grade 8 Mathematics pg. 48
-Ratio charts -Digital resources -KLB Grade 8 Mathematics pg. 50 |
-Observation
-Oral questions
-Written assignments
|
|
| 5 | 4 |
Numbers
|
Rates, Ratios, Proportion and Percentages - Ratio decrease
Rates, Ratios, Proportion and Percentages - Percentage change |
By the end of the
lesson, the learner
should be able to:
-Work out decrease of quantities using ratios -Apply ratio decrease in real-life situations -Show interest in ratio applications |
-Decrease quantities in given ratios -Find quantities after ratio decreases -Solve real-life problems involving ratio decreases |
How do we use ratios to decrease quantities?
|
-KLB Grade 8 Mathematics pg. 51
-Ratio charts -Digital resources -KLB Grade 8 Mathematics pg. 52 -Percentage charts |
-Observation
-Oral questions
-Written assignments
|
|
| 5 | 5 |
Numbers
|
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:
-Identify direct proportions in real life situations -Recognize when quantities vary in the same ratio -Show interest in proportional relationships |
-Role play shopping activities to show direct relationships -Identify when quantities increase or decrease in the same ratio -Create tables of directly proportional quantities |
How do we identify direct proportion?
|
-KLB Grade 8 Mathematics pg. 53
-Proportion charts -Digital resources -KLB Grade 8 Mathematics pg. 54 |
-Observation
-Oral questions
-Written assignments
|
|
| 6 | 1 |
Numbers
Algebra |
Rates, Ratios, Proportion and Percentages - Indirect proportion
Rates, Ratios, Proportion and Percentages - Working out indirect proportions Algebraic Expressions - Factorization of algebraic expressions |
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 -KLB Grade 8 Mathematics pg. 56 -Algebra tiles |
-Observation
-Oral questions
-Written assignments
|
|
| 6 | 2 |
Algebra
|
Algebraic Expressions - Factorization using the HCF
Algebraic Expressions - Addition and subtraction of algebraic fractions |
By the end of the
lesson, the learner
should be able to:
-Factorize algebraic expressions using the HCF -Express algebraic expressions as a product of factors -Value the importance of factorization |
-Write expressions as a product of the highest common factor and the other factor -Practice factorizing different algebraic expressions -Use factorization to solve problems |
How do we factorize algebraic expressions?
|
-KLB Grade 8 Mathematics pg. 57
-Algebra tiles -Digital resources -KLB Grade 8 Mathematics pg. 58 -Algebra charts |
-Observation
-Oral questions
-Written tests
|
|
| 6 | 3 |
Algebra
|
Algebraic Expressions - Simplification of algebraic fractions by factorization
Algebraic Expressions - Evaluating algebraic expressions |
By the end of the
lesson, the learner
should be able to:
-Simplify algebraic fractions by factorization -Use factorization to simplify complex fractions -Appreciate the use of factorization in simplification |
-Write numerator and denominator as products of factors -Identify and cancel common factors -Simplify algebraic fractions using factorization |
How do we simplify algebraic fractions?
|
-KLB Grade 8 Mathematics pg. 59
-Algebra charts -Digital resources -KLB Grade 8 Mathematics pg. 60 |
-Observation
-Oral questions
-Written tests
|
|
| 6 | 4 |
Algebra
|
Algebraic Expressions - Applications of algebraic expressions
Linear Equations - Forming linear equations in two unknowns |
By the end of the
lesson, the learner
should be able to:
-Apply algebraic expressions in real-life situations -Form expressions from word problems -Value the importance of algebraic expressions |
-Form algebraic expressions from real-life situations -Evaluate expressions for given values -Use IT to practice algebraic expressions |
How do we apply algebraic expressions in real life?
|
-KLB Grade 8 Mathematics pg. 61
-Digital resources -Internet access -KLB Grade 8 Mathematics pg. 62 -Shop setup materials |
-Observation
-Oral questions
-Written tests
|
|
| 6 | 5 |
Algebra
|
Linear Equations - Forming related linear equations
Linear Equations - Solving linear equations by substitution method Linear Equations - More on substitution method |
By the end of the
lesson, the learner
should be able to:
-Form related linear equations in two unknowns -Create simultaneous equations from real-life situations -Value the use of equations in problem-solving |
-Set up a demonstration shop with two different improvised items -Relate amounts spent to total amounts -Form simultaneous equations from given scenarios |
Where do we use linear equations in two unknowns in real life situations?
|
-KLB Grade 8 Mathematics pg. 64
-Shop setup materials -Digital resources -KLB Grade 8 Mathematics pg. 66 -Equation charts -KLB Grade 8 Mathematics pg. 67 |
-Observation
-Oral questions
-Written tests
|
|
| 7 | 1 |
Algebra
|
Linear Equations - Solving linear equations by elimination method
Linear Equations - More on elimination method |
By the end of the
lesson, the learner
should be able to:
-Solve linear equations using elimination method -Apply the method to solve simultaneous equations -Show interest in using elimination method |
-Multiply equations by suitable numbers to make coefficients equal -Eliminate one unknown by addition or subtraction -Practice solving equations using elimination method |
How do we solve linear equations by elimination?
|
-KLB Grade 8 Mathematics pg. 68
-Equation charts -Digital resources -KLB Grade 8 Mathematics pg. 70 |
-Observation
-Oral questions
-Written assignments
|
|
| 7 | 2 |
Algebra
Measurements |
Linear Equations - Applying linear equations in real-life situations
Circles - Working out the circumference of a circle |
By the end of the
lesson, the learner
should be able to:
-Apply linear equations to real-life situations -Solve word problems using simultaneous equations -Recognize use of linear equations in real life |
-Practice forming and solving simultaneous equations from real-life cases -Apply appropriate methods to solve problems -Watch videos involving linear equations in real life |
Where do we use linear equations in real life situations?
|
-KLB Grade 8 Mathematics pg. 70
-Internet access -Digital resources -KLB Grade 8 Mathematics pg. 71 -Circular objects -Measuring tape or ruler |
-Observation
-Oral questions
-Problem-solving tasks
|
|
| 7 | 3 |
Measurements
|
Circles - Working out the circumference of circles in real life
Circles - Working out the length of an arc |
By the end of the
lesson, the learner
should be able to:
-Apply knowledge of circumference in real-life contexts -Calculate the circumference of circular objects -Value the importance of circles in everyday life |
-Discuss and find the circumference of different circular objects in the environment -Measure diameter and calculate circumference -Solve real-life problems involving circumference |
How do we use circles in real life situations?
|
-KLB Grade 8 Mathematics pg. 73
-Circular objects -Digital resources -Paper -Pair of compasses |
-Observation
-Oral questions
-Written tests
|
|
| 7 | 4 |
Measurements
|
Circles - Working out the length of an arc in real life
Circles - Calculating the perimeter of a sector |
By the end of the
lesson, the learner
should be able to:
-Apply knowledge of arc length in real-life contexts -Calculate arc lengths in various scenarios -Appreciate the use of arcs in daily life |
-Calculate arc lengths for different angles -Solve real-life problems involving arc lengths -Discuss practical applications of arc lengths |
How do we use arcs in real life situations?
|
-KLB Grade 8 Mathematics pg. 74
-Circular objects -Protractors -KLB Grade 8 Mathematics pg. 75 -Paper -Pair of compasses -Scissors |
-Observation
-Oral questions
-Written tests
|
|
| 7 | 5 |
Measurements
|
Area - Calculating the area of a circle
Area - Working out the area of a circle in real life Area - Working out the area of a sector |
By the end of the
lesson, the learner
should be able to:
-Calculate the area of a circle -Apply the formula for area of a circle -Value the importance of circular areas |
-Draw a circle on a graph paper -Estimate its area by counting squares -Calculate area using the formula A = πr² -Compare the estimated and calculated areas |
How do we use area in real life situations?
|
-KLB Grade 8 Mathematics pg. 77
-Graph paper -Pair of compasses -KLB Grade 8 Mathematics pg. 79 -Circular objects -Measuring tools -KLB Grade 8 Mathematics pg. 80 -Paper -Protractors |
-Observation
-Oral questions
-Written assignments
|
|
| 8 | 1 |
Measurements
|
Area - Working out the area of a sector in real life
Area - Working out the surface area of cubes |
By the end of the
lesson, the learner
should be able to:
-Apply knowledge of sector area in real-life contexts -Calculate sector areas in various scenarios -Show interest in sector applications |
-Calculate sector areas for different angles -Solve real-life problems involving sector areas -Discuss practical applications of sectors |
How do we use sectors in real life?
|
-KLB Grade 8 Mathematics pg. 81
-Sector models -Protractors -KLB Grade 8 Mathematics pg. 82 -Cube models -Measuring tools |
-Observation
-Oral questions
-Written tests
|
|
| 8 | 2 |
Measurements
|
Area - Working out the surface area of cuboids
Area - Working out the surface area of cylinders |
By the end of the
lesson, the learner
should be able to:
-Work out the surface area of cuboids -Apply the formula for cuboid surface area -Show interest in cuboid measurements |
-Use a model of a cuboid to identify faces -Identify pairs of faces with equal dimensions -Calculate area of each pair of faces -Apply the formula for cuboid surface area |
How do we calculate the surface area of a cuboid?
|
-KLB Grade 8 Mathematics pg. 84
-Cuboid models -Measuring tools -KLB Grade 8 Mathematics pg. 86 -Cylindrical objects -Paper -Scissors |
-Observation
-Oral questions
-Written assignments
|
|
| 8 | 3 |
Measurements
|
Area - Working out the surface area of triangular prisms
Area - Working out the area of irregular shapes |
By the end of the
lesson, the learner
should be able to:
-Determine the surface area of triangular prisms -Apply the formula for triangular prism surface area -Show interest in prism measurements |
-Use a model of triangular prism to identify faces -Calculate areas of triangular faces and rectangular faces -Find the sum of all face areas -Apply the formula for triangular prism surface area |
How do we calculate the surface area of a triangular prism?
|
-KLB Grade 8 Mathematics pg. 87
-Triangular prism models -Measuring tools -KLB Grade 8 Mathematics pg. 88 -Square grid paper -Irregular objects -Tracing paper |
-Observation
-Oral questions
-Written assignments
|
|
| 8 | 4 |
Measurements
|
Money - Identifying interest and principal
Money - Calculating simple interest Money - More on simple interest |
By the end of the
lesson, the learner
should be able to:
-Identify interest and principal in real-life situations -Differentiate between principal and interest -Show interest in financial terms |
-Visit or invite resource persons from financial institutions -Discuss how money is deposited and borrowed -Gather information on principal and interest -Identify principal and interest in various scenarios |
What is interest in money?
|
-KLB Grade 8 Mathematics pg. 89
-Financial brochures -Digital resources -KLB Grade 8 Mathematics pg. 91 -Calculator -KLB Grade 8 Mathematics pg. 92 |
-Observation
-Oral questions
-Written assignments
|
|
| 8 | 5 |
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
|
|
| 9 | 1 |
Measurements
|
Money - Calculating compound interest for three years
Money - Working out appreciation |
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 |
-Observation
-Oral questions
-Written tests
|
|
| 9 | 2 |
Measurements
|
Money - Working out depreciation
Money - Working out hire purchase |
By the end of the
lesson, the learner
should be able to:
-Work out depreciation of value -Apply depreciation calculations to assets -Understand depreciation in financial planning |
-Research meaning of depreciation -List items that depreciate in value -Calculate value after depreciation -Discuss impact of depreciation on investments |
How do we calculate depreciation of value?
|
-KLB Grade 8 Mathematics pg. 97
-Calculator -Digital resources -KLB Grade 8 Mathematics pg. 98 -Brochures from shops |
-Observation
-Oral questions
-Written tests
|
|
| 9 | 3 |
Geometry
|
Geometrical Constructions - Construction of parallel lines
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 pair of compasses -Apply parallel line construction in real-life situations -Show interest in constructing parallel lines |
-Draw line AB and point C above the line -With C as center and radius length AB, draw an arc above line AB -With B as center and radius length AC, draw an arc to cut the first arc at D -Join C to D to form a line parallel to AB |
How do we construct polygons?
|
-KLB Grade 8 Mathematics pg. 100
-Pair of compasses -Ruler -Drawing paper -KLB Grade 8 Mathematics pg. 103 -Set square -KLB Grade 8 Mathematics pg. 104 |
-Observation
-Oral questions
-Written assignments
|
|
| 9 | 4 |
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
|
|
| 9 | 5 |
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
|
|
| 10 | 1 |
Geometry
|
Geometrical Constructions - Construction of a regular quadrilateral
Geometrical Constructions - Construction of a regular pentagon |
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 |
-Observation
-Oral questions
-Written tests
|
|
| 10 | 2 |
Geometry
|
Geometrical Constructions - Construction of a regular hexagon
Geometrical Constructions - Construction of irregular polygons |
By the end of the
lesson, the learner
should be able to:
-Calculate interior angles of a regular hexagon -Construct a regular hexagon -Show interest in regular hexagons |
-Find the size of each interior angle of the hexagon (120°) -Draw line PQ of required length -At Q, draw the interior angle PQR with QR equal to side length -Continue the process to locate S, T, and U -Join U to P to complete the hexagon |
What are the properties of a regular hexagon?
|
-KLB Grade 8 Mathematics pg. 115
-Pair of compasses -Ruler -Protractor -KLB Grade 8 Mathematics pg. 117 |
-Observation
-Oral questions
-Written tests
|
|
| 10 | 3 |
Geometry
|
Geometrical Constructions - Construction of circles passing through vertices
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:
-Construct circles passing through the vertices of a triangle -Find the center and radius of the circle -Show interest in circumcircles |
-Draw the triangle ABC -Construct perpendicular bisectors of AB and AC -Determine the point of intersection O (circumcenter) -With O as center and radius OA, draw a circle -Verify that the circle passes through all vertices |
What is the relationship between a triangle and its circumcircle?
|
-KLB Grade 8 Mathematics pg. 123
-Pair of compasses -Ruler -Protractor -KLB Grade 8 Mathematics pg. 128 -Graph paper -Digital resources -KLB Grade 8 Mathematics pg. 129 -Cartesian plane charts |
-Observation
-Oral questions
-Written tests
|
|
| 10 | 4 |
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 | 5 |
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
|
|
| 11 | 1 |
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
|
|
| 11 | 2 |
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
|
|
| 11 | 3 |
Geometry
Data Handling and Probability |
Coordinates and Graphs - Solving practical problems using graphs
Data Presentation and Interpretation - Drawing bar graphs |
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. 178 -Ruler -Colored pencils |
-Observation
-Oral questions
-Written tests
|
|
| 11 | 4 |
Data Handling and Probability
|
Data Presentation and Interpretation - Interpreting bar graphs
Data Presentation and Interpretation - Drawing line graphs |
By the end of the
lesson, the learner
should be able to:
-Interpret bar graphs of data from real-life situations -Extract information from bar graphs -Value the importance of data interpretation |
-Study bar graphs representing various data sets -Identify highest and lowest values -Calculate differences between values -Answer questions based on information in the graphs |
How do we interpret information from bar graphs?
|
-KLB Grade 8 Mathematics pg. 180
-Bar graph charts -Digital resources -KLB Grade 8 Mathematics pg. 183 -Graph paper -Ruler -Colored pencils |
-Observation
-Oral questions
-Written tests
|
|
| 11 | 5 |
Data Handling and Probability
|
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:
-Interpret line graphs of data from real-life situations -Extract information from line graphs -Value the use of line graphs in data analysis |
-Study line graphs showing journeys, prices, etc. -Identify trends, highest and lowest points -Calculate changes between points -Answer questions based on information in the graphs |
How do we determine the mean of data?
|
-KLB Grade 8 Mathematics pg. 185
-Line graph charts -Digital resources -KLB Grade 8 Mathematics pg. 187 -Data sets -Calculator |
-Observation
-Oral questions
-Written tests
|
|
| 12 | 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
|
|
| 12 | 2 |
Data Handling and Probability
|
Data Presentation and Interpretation - Mean of grouped data
Data Presentation and Interpretation - Determining the median Data Presentation and Interpretation - Applications of measures of central tendency |
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 -KLB Grade 8 Mathematics pg. 196 -Real-life data sets |
-Observation
-Oral questions
-Written tests
|
|
| 12 | 3 |
Data Handling and Probability
|
Probability - Identifying events involving chance
Probability - Performing chance experiments |
By the end of the
lesson, the learner
should be able to:
-Identify events involving chance in real-life situations -Classify events based on likelihood -Show interest in probability concepts |
-Classify events as likely, unlikely, must happen, or cannot happen -Discuss examples from daily life -Compare classifications with other groups -Recognize events that involve chance |
When do we consider chances that an event is likely to happen?
|
-KLB Grade 8 Mathematics pg. 197
-Event cards -Digital resources -KLB Grade 8 Mathematics pg. 198 -Coins -Dice -Spinner wheels |
-Observation
-Oral questions
-Written assignments
|
|
| 12 | 4 |
Data Handling and Probability
|
Probability - Writing experimental probability outcomes
Probability - Expressing probability outcomes in fractions |
By the end of the
lesson, the learner
should be able to:
-Write the experimental probability outcomes -Record frequency of different outcomes -Show interest in experimental probability |
-Toss a fair dice multiple times -Record the outcomes in a frequency table -Calculate relative frequency of each outcome -Compare experimental results with theoretical expectations |
Why is probability important in real life situations?
|
-KLB Grade 8 Mathematics pg. 199
-Dice -Cards -Tally charts -KLB Grade 8 Mathematics pg. 200 -Coins -Recording sheets |
-Observation
-Oral questions
-Written assignments
|
|
| 12 | 5 |
Data Handling and Probability
|
Probability - Expressing probability in decimals
Probability - Expressing probability in percentages Probability - Applications in real life Probability - Applications in real life |
By the end of the
lesson, the learner
should be able to:
-Express probability outcomes in decimals -Convert between fractions and decimals in probability -Show interest in decimal representation |
-Conduct experiments with cards, spinners, etc. -Express probability outcomes as fractions -Convert fractions to decimals -Compare decimal representations of different events |
What does a decimal probability value tell us?
|
-KLB Grade 8 Mathematics pg. 202
-Cards -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 assignments
|
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