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WK | LSN | STRAND | SUB-STRAND | LESSON LEARNING OUTCOMES | LEARNING EXPERIENCES | KEY INQUIRY QUESTIONS | LEARNING RESOURCES | ASSESSMENT METHODS | REFLECTION |
---|---|---|---|---|---|---|---|---|---|
2 | 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
|
|
2 | 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
|
|
2 | 3 |
Numbers
|
Integers - Subtraction of integers on a number line
Integers - Combined operations of integers on a number line Integers - Games involving 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 -KLB Grade 8 Mathematics pg. 7 -Number cards -Internet access |
-Observation
-Oral questions
-Written tests
|
|
2 | 4 |
Numbers
|
Fractions - Combined operations involving addition and subtraction
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 addition and subtraction of fractions -Apply combined operations in real-life situations -Show interest in learning about fractions |
-Discuss and use the correct order of operations in fractions -Work out combined operations involving addition and subtraction -Add fractions then subtract from the sum |
How do we use fractions in real life situations?
|
-KLB Grade 8 Mathematics pg. 8
-Fraction models -Digital resources -KLB Grade 8 Mathematics pg. 11 -KLB Grade 8 Mathematics pg. 13 |
-Observation
-Oral questions
-Written assignments
|
|
2 | 5 |
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
|
|
3 | 1 |
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
|
|
3 | 2 |
Numbers
|
Decimals - Converting recurring decimals to fractions
Decimals - Rounding off decimal numbers Decimals - Expressing numbers to significant figures |
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 -KLB Grade 8 Mathematics pg. 21 -Number charts |
-Observation
-Oral questions
-Written assignments
|
|
3 | 3 |
Numbers
|
Decimals - Expressing numbers in standard form
Decimals - Combined operations on decimals |
By the end of the
lesson, the learner
should be able to:
-Express numbers in standard form -Apply standard form in scientific notation -Show interest in learning about standard form |
-Write numbers in standard form in learning materials -Express numbers as a product of a number between 1 and 10, and a power of 10 -Solve problems involving standard form |
How do we express numbers in standard form?
|
-KLB Grade 8 Mathematics pg. 23
-Number charts -Digital resources -Decimal charts |
-Observation
-Oral questions
-Written tests
|
|
3 | 4 |
Numbers
|
Decimals - Applications of decimals in real life
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:
-Apply decimals in real-life situations -Solve problems involving decimals -Show interest in using decimals in daily life |
-Discuss and apply decimals to real-life cases -Play games of operations on decimals using IT -Solve real-world problems involving decimals |
How do we use decimals in real life situations?
|
-KLB Grade 8 Mathematics pg. 25
-Real-life objects -Digital resources -Table of squares -KLB Grade 8 Mathematics pg. 29 |
-Observation
-Oral questions
-Problem-solving tasks
|
|
3 | 5 |
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
|
|
4 | 1 |
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
|
|
4 | 2 |
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
|
|
4 | 3 |
Numbers
|
Rates, Ratios, Proportion and Percentages - Comparing three ratios
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:
-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 -KLB Grade 8 Mathematics pg. 48 |
-Observation
-Oral questions
-Written assignments
|
|
4 | 4 |
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 | 5 |
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
|
|
5 | 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
|
|
5 | 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
|
|
5 | 3 |
Algebra
|
Algebraic Expressions - Simplification of algebraic fractions by factorization
Algebraic Expressions - Evaluating algebraic expressions Algebraic Expressions - Applications of 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 -KLB Grade 8 Mathematics pg. 61 -Internet access |
-Observation
-Oral questions
-Written tests
|
|
5 | 4 |
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 | 5 |
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
|
|
6 | 1 |
Algebra
Measurements |
Linear Equations - More on elimination method
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 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 -KLB Grade 8 Mathematics pg. 71 -Circular objects -Measuring tape or ruler |
-Observation
-Oral questions
-Written tests
|
|
6 | 2 |
Measurements
|
Circles - Working out the circumference of circles in real life
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:
-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 -KLB Grade 8 Mathematics pg. 74 -Protractors |
-Observation
-Oral questions
-Written tests
|
|
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 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 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 -KLB Grade 8 Mathematics pg. 86 -Cylindrical objects -Paper -Scissors |
-Observation
-Oral questions
-Written assignments
|
|
7 | 1 |
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
|
|
7 | 2 |
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
|
|
7 | 3 |
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 | 4 |
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
|
|
7 | 5 |
Measurements
Geometry Geometry |
Money - Working out hire purchase
Geometrical Constructions - Construction of parallel lines Geometrical Constructions - Construction of parallel lines using a set square |
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 -KLB Grade 8 Mathematics pg. 103 -Set square |
-Observation
-Oral questions
-Written assignments
|
|
8 | 1 |
Geometry
|
Geometrical Constructions - Construction of perpendicular lines from a point
Geometrical Constructions - Construction of perpendicular lines through a point |
By the end of the
lesson, the learner
should be able to:
-Construct perpendicular lines from a point to a given line -Apply perpendicular construction in solving problems -Show interest in perpendicular lines |
-Draw line AB and point M -With M as center and suitable radius, construct two arcs to cut AB at C and D -Using C and D as centers and suitable radius, construct two arcs on the opposite side to intersect at E -Join M to E through point F on the line |
How do we construct perpendicular lines?
|
-KLB Grade 8 Mathematics pg. 104
-Pair of compasses -Ruler -Drawing paper -KLB Grade 8 Mathematics pg. 105 |
-Observation
-Oral questions
-Written assignments
|
|
8 | 2 |
Geometry
|
Geometrical Constructions - Dividing a line proportionally
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:
-Divide a line proportionally -Apply proportional division in solving problems -Show interest in proportional division |
-Draw lines AB and AC of convenient lengths -Mark five equal intervals from A along AC -Join the last point to B -Draw lines parallel to this line through the other points -Mark the points where these parallel lines cut AB |
How do we divide a line proportionally?
|
-KLB Grade 8 Mathematics pg. 106
-Pair of compasses -Ruler -Set square -KLB Grade 8 Mathematics pg. 108 -Polygon models -Protractor -Calculator -KLB Grade 8 Mathematics pg. 112 |
-Observation
-Oral questions
-Written assignments
|
|
8 | 3 |
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
|
|
8 | 4 |
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
|
|
8 | 5 |
Geometry
|
Coordinates and Graphs - Drawing and labeling a Cartesian plane
Coordinates and Graphs - Identifying points on the Cartesian plane Coordinates and Graphs - Plotting 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 -KLB Grade 8 Mathematics pg. 130 |
-Observation
-Oral questions
-Written assignments
|
|
9 | 1 |
Geometry
|
Coordinates and Graphs - Generating table of values for linear equations
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:
-Generate table of values for a linear equation -Substitute values in equations -Value the relationship between variables |
-Given linear equations, select appropriate x-values -Substitute each x-value into the equation to find corresponding y-value -Record the ordered pairs in a table -Verify that the pairs satisfy the original equation |
Where do we use linear graphs in real life?
|
-KLB Grade 8 Mathematics pg. 131
-Exercise books -Calculator -Digital resources -KLB Grade 8 Mathematics pg. 133 -Graph paper -KLB Grade 8 Mathematics pg. 135 -Ruler -Pencil |
-Observation
-Oral questions
-Written tests
|
|
9 | 2 |
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
|
|
9 | 3 |
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
|
|
9 | 4 |
Geometry
|
Coordinates and Graphs - Solving practical problems using graphs
Scale Drawing - Representing length to a given scale Scale Drawing - Converting actual length to scale length |
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 -KLB Grade 8 Mathematics pg. 145 |
-Observation
-Oral questions
-Written tests
|
|
9 | 5 |
Geometry
|
Scale Drawing - Converting scale length to actual length
Scale Drawing - Interpreting linear scales in statement form |
By the end of the
lesson, the learner
should be able to:
-Convert scale length to actual length -Apply conversion in real-life situations -Show interest in scale conversion |
-Study scale drawings with given scales -Measure scale lengths in the drawings -Convert scale lengths to actual lengths -Verify conversions by measuring actual objects |
How do we determine actual sizes from scale drawings?
|
-KLB Grade 8 Mathematics pg. 147
-Scale drawings -Ruler -Calculator -KLB Grade 8 Mathematics pg. 148 -Scale diagrams |
-Observation
-Oral questions
-Written assignments
|
|
10 | 1 |
Geometry
|
Scale Drawing - Writing linear scales in statement form
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:
-Write linear scales in statement form -Apply statement scales correctly -Show interest in scale representation |
-Study objects with given actual and scale measurements -Calculate the relationship between actual and scale lengths -Express the scale in statement form -Determine actual and scale measurements of other objects using the scale |
How do we create an appropriate scale statement?
|
-KLB Grade 8 Mathematics pg. 149
-Various objects -Measuring tools -Calculator -KLB Grade 8 Mathematics pg. 150 -Scale diagrams -Ruler -KLB Grade 8 Mathematics pg. 151 |
-Observation
-Oral questions
-Written assignments
|
|
10 | 2 |
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
|
|
10 | 3 |
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
|
|
10 | 4 |
Geometry
|
Scale Drawing - Applications of scale drawings
Common Solids - Identification of common solids Common Solids - Characteristics 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 -KLB Grade 8 Mathematics pg. 160 -Solid models |
-Observation
-Oral questions
-Written assignments
|
|
10 | 5 |
Geometry
|
Common Solids - Nets of cube and cuboid
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 cubes and cuboids -Understand the relationship between nets and solids -Show interest in nets of solids |
-Use boxes with open tops for the activity -Cut along edges and spread out the faces -Sketch the shape of the spread faces -Identify different possible nets for the same solid |
How do we use common solids in real life?
|
-KLB Grade 8 Mathematics pg. 161
-Cardboard boxes -Scissors -Drawing materials -KLB Grade 8 Mathematics pg. 163 -Pyramid models -KLB Grade 8 Mathematics pg. 164 -Cylindrical objects -Ruler |
-Observation
-Oral questions
-Written assignments
|
|
11 | 1 |
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
|
|
11 | 2 |
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
|
|
11 | 3 |
Geometry
|
Common Solids - Distance between points on solid surfaces
Common Solids - More on distance between points Common Solids - Making models of hollow solids |
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 -KLB Grade 8 Mathematics pg. 175 -Paper/cardboard -Scissors -Glue/tape |
-Observation
-Oral questions
-Written assignments
|
|
11 | 4 |
Geometry
|
Common Solids - Making skeleton models
Common Solids - Making compact solid models |
By the end of the
lesson, the learner
should be able to:
-Make skeleton models of solids -Understand edges and vertices -Value different model types |
-Use straws or wires to represent edges -Use clay or adhesive to connect at vertices -Create skeleton models of cubes, prisms, pyramids, etc. -Compare skeleton and hollow models |
What insights do skeleton models provide?
|
-KLB Grade 8 Mathematics pg. 176
-Straws/wires -Clay/adhesive -Scissors -KLB Grade 8 Mathematics pg. 177 -Clay/plasticine -Containers -Tools for molding |
-Observation
-Oral questions
-Model creation
|
|
11 | 5 |
Geometry
Data Handling and Probability Data Handling and Probability |
Common Solids - Applications of solids
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:
-Apply knowledge of solids in real-life contexts -Identify geometric solids in the environment -Value the importance of geometry in daily life |
-Explore applications of different solids in architecture, packaging, art, etc. -Identify solids in natural and man-made structures -Discuss the properties that make solids suitable for specific purposes -Create designs using combinations of solids |
How does understanding solids help in everyday life?
|
-KLB Grade 8 Mathematics pg. 177
-Sample objects -Digital resources -Models -KLB Grade 8 Mathematics pg. 178 -Graph paper -Ruler -Colored pencils -KLB Grade 8 Mathematics pg. 180 -Bar graph charts |
-Observation
-Oral questions
-Written assignments
|
|
12 | 1 |
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
|
|
12 | 2 |
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 | 3 |
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 | 4 |
Data Handling and Probability
|
Probability - Identifying events involving chance
Probability - Performing chance experiments Probability - Writing experimental probability outcomes |
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 -KLB Grade 8 Mathematics pg. 199 -Cards -Tally charts |
-Observation
-Oral questions
-Written assignments
|
|
12 | 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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