Measurements

Area - Working out the area of irregular shapes

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

-Observation -Oral questions -Written tests

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

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

-Observation -Oral questions -Written tests

Measurements

Money - Calculating compound interest for two years
Money - Calculating compound interest for three years

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

-Calculate compound interest for two years
-Apply step-by-step calculation method
-Show interest in long-term investments

-Calculate interest for the first year and new principal
-Calculate interest for the second year
-Find the total compound interest
-Discuss the growth of investments

How do we pay for goods on hire purchase?

-KLB Grade 8 Mathematics pg. 94
-Calculator
-Digital resources
-KLB Grade 8 Mathematics pg. 95

-Observation -Oral questions -Written assignments

Measurements

Money - Working out appreciation

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

-Observation -Oral questions -Written assignments

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

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

-Observation -Oral questions -Written tests

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

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

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

Geometry

Geometrical Constructions - Construction of a regular triangle

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

-Observation -Oral questions -Written assignments

Geometry

Geometrical Constructions - Construction of a regular quadrilateral

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

-Construct a regular quadrilateral (square)
-Apply square construction in real-life situations
-Show interest in regular quadrilaterals

-Draw line AB of required length
-Construct perpendicular lines at A and B
-With A as center and radius equal to side length, mark point D on the perpendicular
-With B as center and radius equal to side length, mark point C on the perpendicular
-Join D to C to complete the square

What are the applications of regular polygons?

-KLB Grade 8 Mathematics pg. 113
-Pair of compasses
-Ruler
-Set square

-Observation -Oral questions -Written tests

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

Geometry

Geometrical Constructions - Construction of irregular polygons

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

-Observation -Oral questions -Written assignments

Geometry

Geometrical Constructions - Construction of circles passing through vertices

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

-Observation -Oral questions -Written tests

Geometry

Coordinates and Graphs - Drawing and labeling a Cartesian plane
Coordinates and Graphs - Identifying 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

-Observation -Oral questions -Written assignments

Geometry

Coordinates and Graphs - Plotting points on the Cartesian plane

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

-Observation -Oral questions -Written assignments

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

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)

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

-Observation -Oral questions -Written tests

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

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

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

Data Handling and Probability

Data Presentation and Interpretation - Drawing bar graphs

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

-Draw bar graphs of data from real-life situations
-Apply appropriate scales in drawing graphs
-Show interest in bar graphs

-Collect data on birth months of class members
-Record data in a table
-Choose a suitable scale for the graph
-Draw bar graphs to represent the data
-Compare graphs with other groups

What are the different ways of representing data?

-KLB Grade 8 Mathematics pg. 178
-Graph paper
-Ruler
-Colored pencils

-Observation -Oral questions -Written assignments

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

Data Handling and Probability

Data Presentation and Interpretation - Interpreting line graphs

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

-Observation -Oral questions -Written tests

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

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

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

Data Handling and Probability

Data Presentation and Interpretation - Determining the median

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

-Observation -Oral questions -Written assignments

Data Handling and Probability

Data Presentation and Interpretation - Applications of measures of central tendency
Probability - Identifying events involving chance

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

-Apply mean, median and mode in real-life contexts
-Compare different measures of central tendency
-Value data analysis in decision-making

-Apply all three measures (mean, median, mode) to data sets
-Compare the results and identify differences
-Discuss when each measure is most appropriate
-Analyze real-life data using appropriate measures

How do we choose the right measure of central tendency?

-KLB Grade 8 Mathematics pg. 196
-Real-life data sets
-Calculator
-Digital resources
-KLB Grade 8 Mathematics pg. 197
-Event cards

-Observation -Oral questions -Written tests

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

Data Handling and Probability

Probability - Writing experimental probability outcomes

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

-Observation -Oral questions -Written assignments

Data Handling and Probability

Probability - Expressing probability outcomes in fractions
Probability - Expressing probability in decimals

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

-Observation -Oral questions -Written tests

Data Handling and Probability

Probability - Expressing probability in percentages

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

-Observation -Oral questions -Written tests

Data Handling and Probability

Probability - Applications in real life

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

-Apply probability concepts in real-life situations
-Solve problems involving probability
-Value the importance of probability in decision-making

-Discuss real-life applications of probability
-Analyze situations involving chance
-Calculate probability in various contexts
-Use probability to make predictions

How is probability used in everyday life?

-KLB Grade 8 Mathematics pg. 204
-Real-life scenarios
-Digital resources
-Calculator

-Observation -Oral questions -Written assignments