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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 |
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 |
-Observation
-Oral questions
-Written assignments
|
|
2 | 5 |
Numbers
|
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 brackets -Apply BODMAS rule in combined operations -Show interest in learning about combined operations |
-Discuss and use the correct order of operations in fractions -Work out brackets first in combined operations -Solve real-life problems involving brackets |
How do we apply BODMAS rule in combined operations?
|
-KLB Grade 8 Mathematics pg. 13
-Fraction models -Digital resources -KLB Grade 8 Mathematics pg. 14 |
-Observation
-Oral questions
-Written assignments
|
|
3 | 1 |
Numbers
|
Fractions - Using IT devices for learning fractions
Fractions - Consolidation and assessment Decimals - Conversion of fractions to decimals |
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 -Decimal charts |
-Observation
-Oral questions
-Digital activities
|
|
3 | 2 |
Numbers
|
Decimals - Identifying recurring decimals
Decimals - Converting recurring decimals to fractions |
By the end of the
lesson, the learner
should be able to:
-Identify recurring decimals -Represent recurring decimals correctly -Show interest in learning about recurring decimals |
-In groups discuss and classify non-recurring and recurring decimals -Indicate the recurring digits using appropriate notation -Convert fractions to decimals and identify recurring patterns |
How do we identify recurring decimals?
|
-KLB Grade 8 Mathematics pg. 17
-Decimal charts -Digital resources -KLB Grade 8 Mathematics pg. 19 -Conversion charts |
-Observation
-Oral questions
-Written tests
|
|
3 | 3 |
Numbers
|
Decimals - Rounding off decimal 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:
-Round off decimal numbers to required decimal places -Apply rounding in real-life contexts -Show interest in rounding decimal numbers |
-Discuss and round off decimal numbers to a required number of decimal places -Apply rounding rules correctly -Solve problems involving rounding of decimals |
How do we round off decimal numbers?
|
-KLB Grade 8 Mathematics pg. 20
-Decimal charts -Digital resources -KLB Grade 8 Mathematics pg. 21 -Number charts -KLB Grade 8 Mathematics pg. 23 |
-Observation
-Oral questions
-Written tests
|
|
3 | 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
|
|
3 | 5 |
Numbers
|
Squares and Square Roots - Working out squares from tables
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 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 -KLB Grade 8 Mathematics pg. 31 -Table of square roots |
-Observation
-Oral questions
-Written assignments
|
|
4 | 1 |
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 | 2 |
Numbers
|
Squares and Square Roots - Using a calculator for square roots
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:
-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 -KLB Grade 8 Mathematics pg. 37 |
-Observation
-Oral questions
-Written tests
|
|
4 | 3 |
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
|
|
4 | 4 |
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 | 5 |
Numbers
|
Rates, Ratios, Proportion and Percentages - Working out ratios
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 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 -KLB Grade 8 Mathematics pg. 51 |
-Observation
-Oral questions
-Written assignments
|
|
5 | 1 |
Numbers
|
Rates, Ratios, Proportion and Percentages - Percentage change
Rates, Ratios, Proportion and Percentages - Direct proportion |
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 |
-Observation
-Oral questions
-Written tests
|
|
5 | 2 |
Numbers
|
Rates, Ratios, Proportion and Percentages - Working out direct proportions
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:
-Work out direct proportions in real life situations -Apply direct proportion in problem-solving -Value the importance of direct proportion |
-Complete tables of directly proportional quantities -Calculate unknown values using direct proportion -Solve real-life problems involving direct proportion |
How do we calculate using direct proportion?
|
-KLB Grade 8 Mathematics pg. 54
-Proportion charts -Digital resources -Hourglass (if available) -KLB Grade 8 Mathematics pg. 55 |
-Observation
-Oral questions
-Written tests
|
|
5 | 3 |
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 | 4 |
Algebra
|
Algebraic Expressions - Addition and subtraction of algebraic fractions
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:
-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 -KLB Grade 8 Mathematics pg. 60 |
-Observation
-Oral questions
-Written assignments
|
|
5 | 5 |
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 | 1 |
Algebra
|
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 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 |
-Observation
-Oral questions
-Written tests
|
|
6 | 2 |
Algebra
|
Linear Equations - More on substitution method
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:
-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 -KLB Grade 8 Mathematics pg. 70 |
-Observation
-Oral questions
-Written tests
|
|
6 | 3 |
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 | 4 |
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 | 5 |
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
|
|
7 | 1 |
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
|
|
7 | 2 |
Measurements
|
Area - Working out the surface area of cubes
Area - Working out the surface area of cuboids |
By the end of the
lesson, the learner
should be able to:
-Work out the surface area of cubes -Apply the formula for cube surface area -Value the importance of surface area |
-Use a model of a cube to identify faces -Measure edges and calculate face areas -Find the sum of areas of all faces -Apply the formula for cube surface area |
How do we calculate the surface area of a cube?
|
-KLB Grade 8 Mathematics pg. 82
-Cube models -Measuring tools -KLB Grade 8 Mathematics pg. 84 -Cuboid models |
-Observation
-Oral questions
-Written assignments
|
|
7 | 3 |
Measurements
|
Area - Working out the surface area of cylinders
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:
-Work out the surface area of cylinders -Apply the formula for cylinder surface area -Appreciate cylinders in everyday life |
-Make a paper model of a cylinder -Open the model to identify faces -Calculate area of circular ends and curved face -Apply the formula for cylinder surface area |
How do we calculate the surface area of a cylinder?
|
-KLB Grade 8 Mathematics pg. 86
-Cylindrical objects -Paper -Scissors -KLB Grade 8 Mathematics pg. 87 -Triangular prism models -Measuring tools -KLB Grade 8 Mathematics pg. 88 -Square grid paper -Irregular objects -Tracing paper |
-Observation
-Oral questions
-Written tests
|
|
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 | 1 |
Measurements
|
Money - Calculating compound interest for two years
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 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 -KLB Grade 8 Mathematics pg. 96 |
-Observation
-Oral questions
-Written assignments
|
|
8 | 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
|
|
8 | 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
|
|
8 | 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
|
|
8 | 5 |
Geometry
|
Geometrical Constructions - Identifying angle properties of polygons
Geometrical Constructions - Construction of a regular triangle Geometrical Constructions - Construction of a regular quadrilateral |
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 -KLB Grade 8 Mathematics pg. 113 -Set square |
-Observation
-Oral questions
-Written tests
|
|
9-10 |
Midterm |
||||||||
10 | 3 |
Geometry
|
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:
-Calculate interior angles of a regular pentagon -Construct a regular pentagon -Value the use of regular pentagons |
-Find the size of each interior angle of the pentagon (108°) -Draw line AB of required length -Using B as center and radius equal to side length, locate C such that angle ABC is 108° -Continue the process to locate D and E -Join A to E to complete the pentagon |
How are interior angles related to the number of sides?
|
-KLB Grade 8 Mathematics pg. 114
-Pair of compasses -Ruler -Protractor -KLB Grade 8 Mathematics pg. 115 |
-Observation
-Oral questions
-Written assignments
|
|
10 | 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
|
|
10 | 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
|
|
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) Coordinates and Graphs - Solving simultaneous equations graphically (I) |
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 -KLB Grade 8 Mathematics pg. 137 |
-Observation
-Oral questions
-Written tests
|
|
11 | 3 |
Geometry
|
Coordinates and Graphs - Solving simultaneous equations graphically (II)
Coordinates and Graphs - Applying simultaneous equations in real life (I) |
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 |
-Observation
-Oral questions
-Written assignments
|
|
11 | 4 |
Geometry
Data Handling and Probability |
Coordinates and Graphs - Applying simultaneous equations in real life (II)
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 complex real-life problems using graphs -Interpret solutions in context -Show interest in practical applications |
-Analyze complex word problems involving costs, quantities, etc. -Form appropriate simultaneous equations -Solve graphically and interpret the solution -Discuss the practical implications of the solution |
How can graphs help us make decisions?
|
-KLB Grade 8 Mathematics pg. 141
-Graph paper -Calculator -Digital resources -KLB Grade 8 Mathematics pg. 142 -KLB Grade 8 Mathematics pg. 178 -Ruler -Colored pencils |
-Observation
-Oral questions
-Written assignments
|
|
11 | 5 |
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
|
|
12 | 1 |
Data Handling and Probability
|
Data Presentation and Interpretation - Interpreting line graphs
Data Presentation and Interpretation - Identifying the mode Data Presentation and Interpretation - Mode of grouped data |
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 -KLB Grade 8 Mathematics pg. 190 |
-Observation
-Oral questions
-Written tests
|
|
12 | 2 |
Data Handling and Probability
|
Data Presentation and Interpretation - Calculating the mean
Data Presentation and Interpretation - Mean of grouped data |
By the end of the
lesson, the learner
should be able to:
-Calculate the mean of a set of discrete data -Apply mean in analyzing data sets -Show interest in measures of central tendency |
-Study data sets of ages, scores, etc. -Find the sum of all values in the data set -Divide the sum by the number of items -Compare means of different data sets |
What does the mean tell us about a data set?
|
-KLB Grade 8 Mathematics pg. 192
-Data sets -Calculator -Digital resources -KLB Grade 8 Mathematics pg. 193 |
-Observation
-Oral questions
-Written assignments
|
|
12 | 3 |
Data Handling and Probability
|
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:
-Determine the median of a set of discrete data -Apply median in analyzing data sets -Show interest in measures of central tendency |
-Study data sets of ages, scores, etc. -Arrange data in ascending order -Identify the middle value for odd number of items -Calculate average of two middle values for even number of items |
What is the median and when is it useful?
|
-KLB Grade 8 Mathematics pg. 195
-Data sets -Calculator -Digital resources -KLB Grade 8 Mathematics pg. 196 -Real-life data sets |
-Observation
-Oral questions
-Written assignments
|
|
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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