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

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

Numbers

Rates, Ratios, Proportion and Percentages - Comparing three 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

-Observation -Oral questions -Written assignments

Numbers

Rates, Ratios, Proportion and Percentages - Dividing quantities in given ratios
Rates, Ratios, Proportion and Percentages - Working out ratios

By the end of the lesson, the learner should be able to:

-Divide quantities in given ratios
-Apply ratio division in real-life situations
-Value fair division of resources

-Discuss and share quantities of concrete objects in different ratios
-Divide a quantity into parts proportional to the ratio
-Solve real-life problems involving division in a ratio

How do we divide quantities in a given ratio?

-KLB Grade 8 Mathematics pg. 46
-Concrete objects
-Digital resources
-KLB Grade 8 Mathematics pg. 48
-Ratio charts

-Observation -Oral questions -Written tests

Numbers

Rates, Ratios, Proportion and Percentages - Ratio increase
Rates, Ratios, Proportion and Percentages - Ratio decrease

By the end of the lesson, the learner should be able to:

-Work out increase of quantities using ratios
-Apply ratio increase in real-life situations
-Value the importance of ratios in quantity changes

-Increase quantities in given ratios
-Find quantities after ratio increases
-Solve real-life problems involving ratio increases

How do we use ratios to increase quantities?

-KLB Grade 8 Mathematics pg. 50
-Ratio charts
-Digital resources
-KLB Grade 8 Mathematics pg. 51

-Observation -Oral questions -Written tests

Numbers

Rates, Ratios, Proportion and Percentages - Direct proportion

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

-Observation -Oral questions -Written assignments

Numbers

Rates, Ratios, Proportion and Percentages - Working out direct proportions
Rates, Ratios, Proportion and Percentages - Indirect proportion

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)

-Observation -Oral questions -Written tests

Numbers
Algebra

Rates, Ratios, Proportion and Percentages - Working out indirect proportions
Algebraic Expressions - Factorization of algebraic expressions

By the end of the lesson, the learner should be able to:

-Work out indirect proportions in real life situations
-Apply indirect proportion in problem-solving
-Appreciate the concept of inverse relationship

-Complete tables of indirectly proportional quantities
-Calculate unknown values using indirect proportion
-Solve real-life problems involving indirect proportion

How do we calculate using indirect proportion?

-KLB Grade 8 Mathematics pg. 55
-Proportion charts
-Digital resources
-KLB Grade 8 Mathematics pg. 56
-Algebra tiles

-Observation -Oral questions -Written tests

Algebra

Algebraic Expressions - Factorization using the HCF

By the end of the lesson, the learner should be able to:

-Factorize algebraic expressions using the HCF
-Express algebraic expressions as a product of factors
-Value the importance of factorization

-Write expressions as a product of the highest common factor and the other factor
-Practice factorizing different algebraic expressions
-Use factorization to solve problems

How do we factorize algebraic expressions?

-KLB Grade 8 Mathematics pg. 57
-Algebra tiles
-Digital resources

-Observation -Oral questions -Written tests

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

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

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

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

Algebra

Linear Equations - More on substitution method
Linear Equations - Solving linear equations by elimination method

By the end of the lesson, the learner should be able to:

-Apply substitution method to various equations
-Solve complex simultaneous equations
-Appreciate the substitution method

-Solve different types of linear equations using substitution
-Apply substitution method to practical problems
-Compare solutions with other methods

How do we apply substitution method to different equations?

-KLB Grade 8 Mathematics pg. 67
-Equation charts
-Digital resources
-KLB Grade 8 Mathematics pg. 68

-Observation -Oral questions -Written tests

Algebra

Linear Equations - More on elimination method

By the end of the lesson, the learner should be able to:

-Apply elimination method to various equations
-Solve complex simultaneous equations
-Appreciate the elimination method

-Solve different types of linear equations using elimination
-Apply elimination method to practical problems
-Compare elimination with substitution method

When do we prefer elimination over substitution?

-KLB Grade 8 Mathematics pg. 70
-Equation charts
-Digital resources

-Observation -Oral questions -Written tests

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

Measurements

Circles - Working out the circumference of circles in real life
Circles - Working out the length of an arc

By the end of the lesson, the learner should be able to:

-Apply knowledge of circumference in real-life contexts
-Calculate the circumference of circular objects
-Value the importance of circles in everyday life

-Discuss and find the circumference of different circular objects in the environment
-Measure diameter and calculate circumference
-Solve real-life problems involving circumference

How do we use circles in real life situations?

-KLB Grade 8 Mathematics pg. 73
-Circular objects
-Digital resources
-Paper
-Pair of compasses

-Observation -Oral questions -Written tests

Measurements

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 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

-Observation -Oral questions -Written tests

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

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

Measurements

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 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

-Observation -Oral questions -Written tests

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

Measurements

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 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

-Observation -Oral questions -Written tests

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

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

Measurements

Money - More on simple interest

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

-Observation -Oral questions -Written assignments

Measurements

Money - Calculating compound interest for one year
Money - Calculating compound interest for two years

By the end of the lesson, the learner should be able to:

-Calculate compound interest for one year
-Understand the concept of compounding
-Appreciate the impact of compounding

-Calculate interest for the first year
-Find the total amount at the end of the year
-Compare simple and compound interest for one year
-Discuss the effect of compounding

How does compound interest differ from simple interest?

-KLB Grade 8 Mathematics pg. 93
-Calculator
-Digital resources
-KLB Grade 8 Mathematics pg. 94

-Observation -Oral questions -Written tests

Measurements

Money - Calculating compound interest for three years
Money - Working out appreciation

By the end of the lesson, the learner should be able to:

-Calculate compound interest for three years
-Apply step-by-step calculation method
-Value long-term financial planning

-Calculate interest year by year
-Find total compound interest over three years
-Compare with simple interest
-Discuss the advantages of compound interest

How does compound interest grow over time?

-KLB Grade 8 Mathematics pg. 95
-Calculator
-Digital resources
-KLB Grade 8 Mathematics pg. 96

-Observation -Oral questions -Written tests

Measurements

Money - Working out depreciation

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

-Observation -Oral questions -Written tests

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

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

Geometry

Geometrical Constructions - Construction of perpendicular lines through a point

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

-Observation -Oral questions -Written tests

Geometry

Geometrical Constructions - Dividing a line proportionally
Geometrical Constructions - Identifying angle properties of polygons

By the end of the lesson, the learner should be able to:

-Divide a line proportionally
-Apply proportional division in solving problems
-Show interest in proportional division

-Draw lines AB and AC of convenient lengths
-Mark five equal intervals from A along AC
-Join the last point to B
-Draw lines parallel to this line through the other points
-Mark the points where these parallel lines cut AB

How do we divide a line proportionally?

-KLB Grade 8 Mathematics pg. 106
-Pair of compasses
-Ruler
-Set square
-KLB Grade 8 Mathematics pg. 108
-Polygon models
-Protractor
-Calculator

-Observation -Oral questions -Written assignments

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

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

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

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

Geometry

Coordinates and Graphs - Identifying 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

-Observation -Oral questions -Written tests

Geometry

Coordinates and Graphs - Plotting points on the Cartesian plane
Coordinates and Graphs - Generating table of values for linear equations

By the end of the lesson, the learner should be able to:

-Plot points on the Cartesian plane
-Apply coordinate plotting in real-life situations
-Show interest in coordinate systems

-Draw a Cartesian plane with appropriate scale
-Given ordered pairs, locate the x-coordinate on the x-axis
-Locate the y-coordinate on the y-axis
-Mark the point where the vertical and horizontal lines from these coordinates meet

Why are coordinates important in real life?

-KLB Grade 8 Mathematics pg. 130
-Graph paper
-Ruler
-Digital resources
-KLB Grade 8 Mathematics pg. 131
-Exercise books
-Calculator

-Observation -Oral questions -Written assignments

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

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

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

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

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