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WK | LSN | STRAND | SUB-STRAND | LESSON LEARNING OUTCOMES | LEARNING EXPERIENCES | KEY INQUIRY QUESTIONS | LEARNING RESOURCES | ASSESSMENT METHODS | REFLECTION |
---|---|---|---|---|---|---|---|---|---|
2 | 1 |
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
|
|
2 | 2 |
Algebra
|
Algebraic Expressions - Addition and subtraction of algebraic fractions
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
2 | 3 |
Algebra
|
Algebraic Expressions - Simplification of algebraic fractions by factorization
Algebraic Expressions - Evaluating algebraic expressions |
By the end of the
lesson, the learner
should be able to:
-Simplify algebraic fractions by factorization -Use factorization to simplify complex fractions -Appreciate the use of factorization in simplification |
-Write numerator and denominator as products of factors -Identify and cancel common factors -Simplify algebraic fractions using factorization |
How do we simplify algebraic fractions?
|
-KLB Grade 8 Mathematics pg. 59
-Algebra charts -Digital resources -KLB Grade 8 Mathematics pg. 60 |
-Observation
-Oral questions
-Written tests
|
|
2 | 4 |
Algebra
|
Algebraic Expressions - Applications of algebraic expressions
|
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 |
-Observation
-Oral questions
-Written tests
|
|
2 | 5 |
Algebra
|
Linear Equations - Forming linear equations in two unknowns
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
3 | 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
|
|
3 | 2 |
Algebra
|
Linear Equations - More on substitution 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 |
-Observation
-Oral questions
-Written tests
|
|
3 | 3 |
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
|
|
3 | 4 |
Algebra
|
Linear Equations - Applying linear equations in real-life situations
|
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 |
-Observation
-Oral questions
-Problem-solving tasks
|
|
3 | 5 |
Measurements
|
Circles - Working out the circumference of a circle
Circles - Working out the circumference of circles in real life |
By the end of the
lesson, the learner
should be able to:
-Work out the circumference of a circle -Apply the formula for circumference in calculations -Show interest in learning about circles |
-Wrap a paper strip around a cylinder and mark the start and end points -Measure the distance between the marked points -Calculate circumference using the formula C = πd -Solve real-life problems involving circumference |
How do we determine the circumference of a circle?
|
-KLB Grade 8 Mathematics pg. 71
-Circular objects -Measuring tape or ruler -KLB Grade 8 Mathematics pg. 73 -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
4 | 1 |
Measurements
|
Circles - Working out the length of an arc
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
4 | 2 |
Measurements
|
Circles - Working out the length of an arc in real life
Circles - Calculating the perimeter of a sector |
By the end of the
lesson, the learner
should be able to:
-Apply knowledge of arc length in real-life contexts -Calculate arc lengths in various scenarios -Appreciate the use of arcs in daily life |
-Calculate arc lengths for different angles -Solve real-life problems involving arc lengths -Discuss practical applications of arc lengths |
How do we use arcs in real life situations?
|
-KLB Grade 8 Mathematics pg. 74
-Circular objects -Protractors -KLB Grade 8 Mathematics pg. 75 -Paper -Pair of compasses -Scissors |
-Observation
-Oral questions
-Written tests
|
|
4 | 3 |
Measurements
|
Area - Calculating the area of a circle
|
By the end of the
lesson, the learner
should be able to:
-Calculate the area of a circle -Apply the formula for area of a circle -Value the importance of circular areas |
-Draw a circle on a graph paper -Estimate its area by counting squares -Calculate area using the formula A = πr² -Compare the estimated and calculated areas |
How do we use area in real life situations?
|
-KLB Grade 8 Mathematics pg. 77 -Graph paper -Pair of compasses |
-Observation
-Oral questions
-Written assignments
|
|
4 | 4 |
Measurements
|
Area - Working out the area of a circle 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 |
-Observation
-Oral questions
-Written tests
|
|
4 | 5 |
Measurements
|
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:
-Calculate the area of a sector of a circle -Apply the formula for sector area -Appreciate sectors in everyday objects |
-Use cut-outs of sectors from locally available materials -Express the angle of sector as a fraction of 360° -Calculate sector area using the formula -Relate the angle of the sector to the area of the circle |
How do we calculate the area of a sector?
|
-KLB Grade 8 Mathematics pg. 80
-Paper -Pair of compasses -Protractors -KLB Grade 8 Mathematics pg. 81 -Sector models |
-Observation
-Oral questions
-Written assignments
|
|
5 | 1 |
Measurements
|
Area - Working out the surface area of cubes
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
5 | 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
|
|
5 | 3 |
Measurements
|
Area - Working out the surface area of triangular prisms
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
5 | 4 |
Measurements
|
Area - Working out the area of irregular shapes
Money - Identifying interest and principal |
By the end of the
lesson, the learner
should be able to:
-Work out the area of irregular shapes using square grids -Estimate areas by counting grid squares -Value the importance of area estimation |
-Trace irregular shaped objects on square grids -Count complete and partial squares -Estimate areas by adding complete squares and half of partial squares -Compare estimated areas with regular shapes |
How do we determine the area of irregular shapes?
|
-KLB Grade 8 Mathematics pg. 88
-Square grid paper -Irregular objects -Tracing paper -KLB Grade 8 Mathematics pg. 89 -Financial brochures -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
5 | 5 |
Measurements
|
Money - Calculating simple interest
|
By the end of the
lesson, the learner
should be able to:
-Calculate simple interest in real-life situations -Apply the formula for simple interest -Value the importance of interest calculations |
-Identify principal, rate, and time in scenarios -Apply the formula I = PRT/100 -Solve problems involving simple interest -Discuss terms of interest on deposits |
What is interest in money?
|
-KLB Grade 8 Mathematics pg. 91 -Calculator -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
6 | 1 |
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
|
|
6 | 2 |
Measurements
|
Money - Calculating compound interest for two 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 |
-Observation
-Oral questions
-Written assignments
|
|
6 | 3 |
Measurements
|
Money - Calculating compound interest for three years
|
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 |
-Observation
-Oral questions
-Written tests
|
|
6 | 4 |
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
|
|
6 | 5 |
Measurements
|
Money - Working out hire purchase
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
7 | 1 |
Geometry
|
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:
-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 |
-Observation
-Oral questions
-Written assignments
|
|
7 | 2 |
Geometry
|
Geometrical Constructions - Construction of perpendicular lines from 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 |
-Observation
-Oral questions
-Written assignments
|
|
7 | 3 |
Geometry
|
Geometrical Constructions - Construction of perpendicular lines through a point
Geometrical Constructions - Dividing a line proportionally |
By the end of the
lesson, the learner
should be able to:
-Construct perpendicular lines through a point on a given line -Apply perpendicular construction in solving problems -Value the use of perpendicular lines |
-Draw line EF and point G on the line -Using G as center and suitable radius, draw two arcs to cut EF at A and B -With A and B as centers and using the same radius, construct two pairs of intersecting arcs on either side of EF -Join C to D to form a perpendicular line through G |
What is the relationship between perpendicular lines?
|
-KLB Grade 8 Mathematics pg. 105
-Pair of compasses -Ruler -Drawing paper -KLB Grade 8 Mathematics pg. 106 -Set square |
-Observation
-Oral questions
-Written tests
|
|
7 | 4 |
Geometry
|
Geometrical Constructions - Identifying angle properties of polygons
|
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 |
-Observation
-Oral questions
-Written tests
|
|
7 | 5 |
Geometry
|
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:
-Construct a regular triangle -Apply triangle construction in real-life situations -Value the use of regular triangles |
-Construct line PQ of required length -Using P and Q as centers and radius equal to side length, construct two arcs intersecting at R -Join P to R and Q to R -Measure the angles to confirm they are all 60° |
How do we construct regular polygons?
|
-KLB Grade 8 Mathematics pg. 112
-Pair of compasses -Ruler -Protractor -KLB Grade 8 Mathematics pg. 113 -Set square |
-Observation
-Oral questions
-Written assignments
|
|
8 | 1 |
Geometry
|
Geometrical Constructions - Construction of a regular pentagon
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
8 |
Mid term |
||||||||
8 | 3 |
Geometry
|
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 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 |
-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
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
9 | 1 |
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
|
|
9 | 2 |
Geometry
|
Coordinates and Graphs - Generating table of values for linear equations
|
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 |
-Observation
-Oral questions
-Written tests
|
|
9 | 3 |
Geometry
|
Coordinates and Graphs - Determining appropriate scale
Coordinates and Graphs - Drawing linear graphs (I) |
By the end of the
lesson, the learner
should be able to:
-Determine an appropriate scale for a linear equation -Convert actual values to scale values -Show interest in scale selection |
-Analyze the range of x and y values in the table -Choose a scale that allows all points to fit on the graph paper -Convert actual values to appropriate scale values -Discuss the importance of suitable scales |
How do we choose an appropriate scale?
|
-KLB Grade 8 Mathematics pg. 133
-Graph paper -Calculator -Digital resources -KLB Grade 8 Mathematics pg. 135 -Ruler -Pencil |
-Observation
-Oral questions
-Written assignments
|
|
9 | 4 |
Geometry
|
Coordinates and Graphs - Drawing linear graphs (II)
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
9 | 5 |
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
|
|
10 | 1 |
Geometry
|
Coordinates and Graphs - Applying simultaneous equations in real life (I)
|
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 |
-Observation
-Oral questions
-Written tests
|
|
10 | 2 |
Geometry
|
Coordinates and Graphs - Applying simultaneous equations in real life (II)
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
10 | 3 |
Geometry
Data Handling and Probability |
Coordinates and Graphs - Solving practical problems using graphs
Data Presentation and Interpretation - Drawing bar graphs |
By the end of the
lesson, the learner
should be able to:
-Solve practical problems using graphs -Make decisions based on graphical solutions -Appreciate graphical problem-solving |
-Study practical problems from different contexts -Model the problems using simultaneous equations -Solve graphically and analyze the solutions -Compare graphical solutions with algebraic methods |
Why are graphs useful in problem-solving?
|
-KLB Grade 8 Mathematics pg. 142
-Graph paper -Calculator -Digital resources -KLB Grade 8 Mathematics pg. 178 -Ruler -Colored pencils |
-Observation
-Oral questions
-Written tests
|
|
10 | 4 |
Data Handling and Probability
|
Data Presentation and Interpretation - Interpreting bar 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 |
-Observation
-Oral questions
-Written tests
|
|
10 | 5 |
Data Handling and Probability
|
Data Presentation and Interpretation - Drawing line graphs
Data Presentation and Interpretation - Interpreting line graphs |
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 |
-Observation
-Oral questions
-Written assignments
|
|
11 | 1 |
Data Handling and Probability
|
Data Presentation and Interpretation - Identifying the mode
|
By the end of the
lesson, the learner
should be able to:
-Identify the mode of a set of discrete data -Apply mode in analyzing data sets -Show interest in measures of central tendency |
-Study data sets of shoe sizes, test scores, etc. -Identify the numbers in the list without repetition -Count frequency of each value -Identify the value with highest frequency (mode) |
What is the mode and how is it useful?
|
-KLB Grade 8 Mathematics pg. 187 -Data sets -Calculator -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
11 | 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
|
|
11 | 3 |
Data Handling and Probability
|
Data Presentation and Interpretation - Mean of grouped data
|
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 |
-Observation
-Oral questions
-Written tests
|
|
11 | 4 |
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
|
|
11 | 5 |
Data Handling and Probability
|
Probability - Identifying events involving chance
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
12 | 1 |
Data Handling and Probability
|
Probability - Performing chance experiments
|
By the end of the
lesson, the learner
should be able to:
-Perform chance experiments in different situations -Record outcomes of chance experiments -Value experimental approaches to probability |
-Flip coins and record heads or tails outcomes -Toss dice and record number outcomes -Discuss possible outcomes of each experiment -Conduct multiple trials and record results |
What factors affect probability outcomes?
|
-KLB Grade 8 Mathematics pg. 198 -Coins -Dice -Spinner wheels |
-Observation
-Oral questions
-Written tests
|
|
12 | 2 |
Data Handling and Probability
|
Probability - Writing experimental probability outcomes
Probability - Expressing probability outcomes in fractions |
By the end of the
lesson, the learner
should be able to:
-Write the experimental probability outcomes -Record frequency of different outcomes -Show interest in experimental probability |
-Toss a fair dice multiple times -Record the outcomes in a frequency table -Calculate relative frequency of each outcome -Compare experimental results with theoretical expectations |
Why is probability important in real life situations?
|
-KLB Grade 8 Mathematics pg. 199
-Dice -Cards -Tally charts -KLB Grade 8 Mathematics pg. 200 -Coins -Recording sheets |
-Observation
-Oral questions
-Written assignments
|
|
12 | 3 |
Data Handling and Probability
|
Probability - Expressing probability in decimals
|
By the end of the
lesson, the learner
should be able to:
-Express probability outcomes in decimals -Convert between fractions and decimals in probability -Show interest in decimal representation |
-Conduct experiments with cards, spinners, etc. -Express probability outcomes as fractions -Convert fractions to decimals -Compare decimal representations of different events |
What does a decimal probability value tell us?
|
-KLB Grade 8 Mathematics pg. 202 -Cards -Spinner wheels -Calculator |
-Observation
-Oral questions
-Written assignments
|
|
12 | 4 |
Data Handling and Probability
|
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 percentages -Convert between fractions, decimals, and percentages -Value percentage representation of probability |
-Conduct probability experiments -Calculate probability as fractions -Convert fractions to percentages -Interpret percentage probability in real-life contexts |
How do percentages help us understand probability?
|
-KLB Grade 8 Mathematics pg. 203
-Cards -Dice -Calculator -KLB Grade 8 Mathematics pg. 204 -Real-life scenarios -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
12 | 5 |
Data Handling and Probability
|
Probability - Applications in real life
|
By the end of the
lesson, the learner
should be able to:
|
|
|
|
|
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