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WK | LSN | STRAND | SUB-STRAND | LESSON LEARNING OUTCOMES | LEARNING EXPERIENCES | KEY INQUIRY QUESTIONS | LEARNING RESOURCES | ASSESSMENT METHODS | REFLECTION |
---|---|---|---|---|---|---|---|---|---|
1 |
Reporting |
||||||||
2 | 1 |
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
|
|
2 | 2 |
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 | 3 |
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 | 4 |
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
|
|
2 | 5 |
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 | 1 |
Numbers
|
Squares and Square Roots - Working out square roots from tables
Squares and Square Roots - Square roots of numbers greater than 100 |
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 |
-Observation
-Oral questions
-Written assignments
|
|
3 | 2 |
Numbers
|
Squares and Square Roots - Using a calculator for squares
Squares and Square Roots - Using a calculator for square roots |
By the end of the
lesson, the learner
should be able to:
-Work out squares of numbers using a calculator -Apply calculator skills effectively -Show interest in using calculators in mathematics |
-Practice working out squares using a calculator -Compare results from calculator with table values -Solve real-life problems involving squares |
How do we use calculators to find squares?
|
-KLB Grade 8 Mathematics pg. 35
-Calculators -Digital resources -KLB Grade 8 Mathematics pg. 36 |
-Observation
-Oral questions
-Calculator activities
|
|
3 | 3 |
Numbers
|
Rates, Ratios, Proportion and Percentages - Identifying rates
Rates, Ratios, Proportion and Percentages - Working out rates |
By the end of the
lesson, the learner
should be able to:
-Identify rates in different situations -Recognize rates as quotients of different units -Show interest in learning about rates |
-Using a mobile phone, note the amount of airtime available -Make calls and check the airtime used -Compare different call rates from service providers |
How do we use rates in real life situations?
|
-KLB Grade 8 Mathematics pg. 36
-Mobile phones (if available) -Rate charts -KLB Grade 8 Mathematics pg. 37 -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
3 | 4 |
Numbers
|
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:
-Express fractions as ratios in real life situations -Convert between fractions and ratios -Show interest in the relationship between fractions and ratios |
-Use cut-outs to relate fractions to ratios -Express fractions in the form a:b -Solve problems involving conversion between fractions and ratios |
How do we use ratios in daily activities?
|
-KLB Grade 8 Mathematics pg. 39
-Fraction models -Digital resources -KLB Grade 8 Mathematics pg. 41 -Paper strips |
-Observation
-Oral questions
-Written assignments
|
|
3 | 5 |
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
|
|
4 | 1 |
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
|
|
4 | 2 |
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
|
|
4 | 3 |
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
|
|
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 |
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 |
-Observation
-Oral questions
-Written assignments
|
|
5 | 4 |
Algebra
|
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:
-Solve linear equations using substitution method -Apply the method to solve simultaneous equations -Show interest in using substitution method |
-Express one unknown in terms of the other -Substitute the expression in the other equation -Practice solving equations using substitution method |
How do we solve linear equations in two unknowns?
|
-KLB Grade 8 Mathematics pg. 66
-Equation charts -Digital resources -KLB Grade 8 Mathematics pg. 67 |
-Observation
-Oral questions
-Written assignments
|
|
5 | 5 |
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
|
|
6 | 1 |
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
|
|
6 | 2 |
Measurements
|
Circles - Working out the circumference of circles 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 |
-Observation
-Oral questions
-Written tests
|
|
6 | 3 |
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 | 4 |
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 | 5 |
Measurements
|
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:
-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 |
-Observation
-Oral questions
-Written tests
|
|
7 | 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
|
|
7 | 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
|
|
7 | 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
|
|
7 | 4 |
Measurements
|
Money - Identifying interest and principal
Money - Calculating 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 |
-Observation
-Oral questions
-Written assignments
|
|
7 | 5 |
Measurements
|
Money - More on simple interest
Money - Calculating compound interest for one year |
By the end of the
lesson, the learner
should be able to:
-Solve complex problems involving simple interest -Find unknown values in interest calculations -Show interest in financial calculations |
-Calculate unknown principal, rate, or time given other values -Apply simple interest formula in reverse -Solve real-life problems involving simple interest |
How do we calculate simple interest for different time periods?
|
-KLB Grade 8 Mathematics pg. 92
-Calculator -Digital resources -KLB Grade 8 Mathematics pg. 93 |
-Observation
-Oral questions
-Written assignments
|
|
8 |
Midterm |
||||||||
9 | 1 |
Measurements
|
Money - Calculating compound interest for two years
Money - Calculating compound interest for three years |
By the end of the
lesson, the learner
should be able to:
-Calculate compound interest for two years -Apply step-by-step calculation method -Show interest in long-term investments |
-Calculate interest for the first year and new principal -Calculate interest for the second year -Find the total compound interest -Discuss the growth of investments |
How do we pay for goods on hire purchase?
|
-KLB Grade 8 Mathematics pg. 94
-Calculator -Digital resources -KLB Grade 8 Mathematics pg. 95 |
-Observation
-Oral questions
-Written assignments
|
|
9 | 2 |
Measurements
|
Money - Working out appreciation
Money - Working out depreciation |
By the end of the
lesson, the learner
should be able to:
-Work out appreciation of value -Apply appreciation calculations to assets -Show interest in value appreciation |
-Research meaning of appreciation -List items that appreciate in value -Calculate value after appreciation -Discuss items worth investing in |
How do we calculate appreciation of value?
|
-KLB Grade 8 Mathematics pg. 96
-Calculator -Digital resources -KLB Grade 8 Mathematics pg. 97 |
-Observation
-Oral questions
-Written assignments
|
|
9 | 3 |
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
|
|
9 | 4 |
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
|
|
9 | 5 |
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
|
|
10 | 1 |
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 | 2 |
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 | 3 |
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 | 4 |
Geometry
|
Geometrical Constructions - Construction of circles passing through vertices
Coordinates and Graphs - Drawing and labeling a 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 |
-Observation
-Oral questions
-Written tests
|
|
10 | 5 |
Geometry
|
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:
-Identify points on the Cartesian plane -Read coordinates of points -Value the Cartesian coordinate system |
-Study points plotted on the Cartesian plane -Identify the ordered pairs (x,y) for each point -Discuss how to read coordinates of points in different quadrants -Write coordinates of given points |
What do coordinates tell us about a point's location?
|
-KLB Grade 8 Mathematics pg. 129
-Graph paper -Cartesian plane charts -KLB Grade 8 Mathematics pg. 130 -Ruler -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
11 | 1 |
Geometry
|
Coordinates and Graphs - Generating table of values for linear equations
Coordinates and Graphs - Determining appropriate scale |
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 |
-Observation
-Oral questions
-Written tests
|
|
11 | 2 |
Geometry
|
Coordinates and Graphs - Drawing linear graphs (I)
Coordinates and Graphs - Drawing linear graphs (II) |
By the end of the
lesson, the learner
should be able to:
-Draw a linear graph from table of values -Plot points accurately -Value the use of linear graphs |
-Draw a Cartesian plane with an appropriate scale -Plot the points from the table of values -Join the points with a straight line using a ruler -Verify that the line passes through all the plotted points |
What information can we derive from linear graphs?
|
-KLB Grade 8 Mathematics pg. 135
-Graph paper -Ruler -Pencil -KLB Grade 8 Mathematics pg. 136 -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
11 | 3 |
Geometry
|
Coordinates and Graphs - Solving simultaneous equations graphically (I)
Coordinates and Graphs - Solving simultaneous equations graphically (II) |
By the end of the
lesson, the learner
should be able to:
-Solve simultaneous equations graphically -Identify the point of intersection -Value graphical solutions |
-Generate tables of values for two linear equations -Plot both equations on the same Cartesian plane -Identify the point of intersection -Verify that the coordinates satisfy both equations |
How can we solve equations using graphs?
|
-KLB Grade 8 Mathematics pg. 137
-Graph paper -Ruler -Digital resources -KLB Grade 8 Mathematics pg. 138 -Calculator |
-Observation
-Oral questions
-Written tests
|
|
11 | 4 |
Geometry
|
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:
-Apply simultaneous equations in real-life problems -Form equations from word problems -Value real-life applications |
-Translate word problems into linear equations -Generate tables of values for the equations -Draw the graphs and find the point of intersection -Interpret the solution in the context of the problem |
Where do we use simultaneous equations in real life?
|
-KLB Grade 8 Mathematics pg. 140
-Graph paper -Calculator -Digital resources -KLB Grade 8 Mathematics pg. 141 |
-Observation
-Oral questions
-Written tests
|
|
11 | 5 |
Geometry
|
Coordinates and Graphs - Solving practical problems using 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 |
-Observation
-Oral questions
-Written tests
|
|
12-14 |
Exams |
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