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SCHEME OF WORK
Mathematics
Grade 9 2025
TERM II
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WK LSN STRAND SUB-STRAND LESSON LEARNING OUTCOMES LEARNING EXPERIENCES KEY INQUIRY QUESTIONS LEARNING RESOURCES ASSESSMENT METHODS REFLECTION
1 1
Algebra
Equations of Straight Lines - Introduction to Gradient
By the end of the lesson, the learner should be able to:

Understand the concept of gradient in real life situations;
Relate gradient to steepness;
Appreciate the concept of gradient in everyday contexts.
Discuss steepness in relation to gradient from the immediate environment.
Compare different slopes in the environment.
Identify examples of gradients in daily life.
How do we use gradient or steepness in our daily activities?
Top Scholar KLB Mathematics Learners Book Grade 9, page 58.
Pictures of hills and slopes.
Charts showing different gradients.
Oral questions. Written exercise. Observation.
1 2
Algebra
Equations of Straight Lines - Identifying the Gradient
By the end of the lesson, the learner should be able to:

Identify the gradient in real life situations;
Compare different gradients;
Show interest in measuring steepness in real-life objects.
Incline objects at different positions to demonstrate gradient.
Compare different gradients and identify steeper slopes.
Relate gradient to real-life applications.
How do we use gradient or steepness in our daily activities?
Top Scholar KLB Mathematics Learners Book Grade 9, page 58.
Ladders or sticks for demonstrating gradients.
Pictures of hills and slopes.
Oral questions. Written exercise. Practical activity.
1 3
Algebra
Equations of Straight Lines - Measuring Gradient
By the end of the lesson, the learner should be able to:

Measure gradient as a ratio of vertical to horizontal distance;
Calculate gradients from physical objects;
Appreciate the mathematical definition of gradient.
Measure vertical and horizontal distances of inclined objects.
Calculate gradient as ratio of vertical to horizontal distance.
Compare measured gradients with observed steepness.
How do we use gradient or steepness in our daily activities?
Top Scholar KLB Mathematics Learners Book Grade 9, page 59.
Rulers and measuring tapes.
Inclined objects for measurement.
Oral questions. Written exercise. Group work.
1 4
Algebra
Equations of Straight Lines - Gradient from Two Known Points
By the end of the lesson, the learner should be able to:

Determine the gradient of a straight line from two known points;
Calculate gradient using the formula;
Show interest in mathematical approaches to measuring steepness.
Discuss how to calculate gradient from two points.
Plot points on a Cartesian plane and draw lines.
Calculate gradients of lines using the formula.
How do we use gradient or steepness in our daily activities?
Top Scholar KLB Mathematics Learners Book Grade 9, page 60.
Graph paper.
Rulers and protractors.
Oral questions. Written exercise. Assignment.
1 5
Algebra
Equations of Straight Lines - Positive and Negative Gradients
By the end of the lesson, the learner should be able to:

Distinguish between positive and negative gradients;
Interpret the meaning of gradient sign;
Appreciate the visual representation of gradient sign.
Draw lines with positive and negative gradients.
Compare the direction of lines with different gradient signs.
Interpret the meaning of positive and negative gradients in real-life contexts.
How do we use gradient or steepness in our daily activities?
Top Scholar KLB Mathematics Learners Book Grade 9, page 61.
Graph paper.
Charts showing lines with different gradients.
Oral questions. Written exercise. Group activity.
2 1
Algebra
Equations of Straight Lines - Zero and Undefined Gradients
By the end of the lesson, the learner should be able to:

Identify lines with zero and undefined gradients;
Relate gradient to direction of lines;
Show interest in special cases of gradients.
Draw horizontal and vertical lines on a Cartesian plane.
Calculate gradients of horizontal and vertical lines.
Discuss the special cases of zero and undefined gradients.
How do we use gradient or steepness in our daily activities?
Top Scholar KLB Mathematics Learners Book Grade 9, page 61.
Graph paper.
Charts showing horizontal and vertical lines.
Oral questions. Written exercise. Group presentation.
2 2
Algebra
Equations of Straight Lines - Equation from Two Points
By the end of the lesson, the learner should be able to:

Determine the equation of a straight line given two points;
Apply the point-slope formula;
Appreciate the use of equations to represent lines.
Work out the equation of a straight line given two points.
Derive the equation using the gradient formula.
Verify equations by substituting points.
How do we use gradient or steepness in our daily activities?
Top Scholar KLB Mathematics Learners Book Grade 9, page 62.
Graph paper.
Calculators.
Oral questions. Written exercise. Group work.
2 3
Algebra
Equations of Straight Lines - Deriving the Equation from Two Points
Equations of Straight Lines - Equation from a Point and Gradient
By the end of the lesson, the learner should be able to:

Derive the equation of a line step-by-step from two points;
Apply algebraic manipulation to derive the equation;
Show interest in mathematical derivations.
Derive step-by-step the equation of a line from two points.
Apply algebraic manipulation to simplify the equation.
Verify the derived equation using the given points.
How do we use gradient or steepness in our daily activities?
Top Scholar KLB Mathematics Learners Book Grade 9, page 63.
Graph paper.
Worksheets with coordinate points.
Top Scholar KLB Mathematics Learners Book Grade 9, page 64.
Calculators.
Oral questions. Written exercise. Assignment.
2 4
Algebra
Equations of Straight Lines - Express Equation in Form y = mx + c
By the end of the lesson, the learner should be able to:

Express the equation of a straight line in the form y = mx + c;
Identify the gradient and y-intercept from the equation;
Appreciate the standard form of line equations.
Discuss and rewrite equations in the form y = mx + c.
Identify the gradient (m) and y-intercept (c) from equations.
Solve problems involving standard form of line equations.
How do we use gradient or steepness in our daily activities?
Top Scholar KLB Mathematics Learners Book Grade 9, page 65.
Charts showing line equations.
Graph paper.
Oral questions. Written exercise. Group presentation.
2 5
Algebra
Equations of Straight Lines - Interpreting y = mx + c
By the end of the lesson, the learner should be able to:

Interpret the equation y = mx + c in different situations;
Relate m to gradient and c to y-intercept;
Show interest in interpreting mathematical equations.
Discuss the meaning of m and c in the equation y = mx + c.
Draw lines with different values of m and c.
Interpret real-life scenarios using line equations.
How do we use gradient or steepness in our daily activities?
Top Scholar KLB Mathematics Learners Book Grade 9, page 67.
Graph paper.
Charts showing lines with different gradients.
Oral questions. Written exercise. Group activity.
3 1
Algebra
Equations of Straight Lines - Graphing Lines from Equations
By the end of the lesson, the learner should be able to:

Draw graphs of straight lines from their equations;
Use the gradient and y-intercept to plot lines;
Appreciate the visual representation of equations.
Generate tables of values from line equations.
Plot points and draw lines from the equations.
Compare lines with different gradients and y-intercepts.
How do we use gradient or steepness in our daily activities?
Top Scholar KLB Mathematics Learners Book Grade 9, page 68.
Graph paper.
Rulers.
Oral questions. Written exercise. Practical activity.
3 2
Algebra
Equations of Straight Lines - x and y Intercepts
By the end of the lesson, the learner should be able to:

Determine the x and y intercepts of a straight line;
Find intercepts by substituting x=0 and y=0;
Appreciate the geometrical significance of intercepts.
Work out the value of x when y is zero and the value of y when x is zero.
Identify intercepts from graphs of straight lines.
Solve problems involving intercepts.
How do we represent linear inequalities in graphs?
Top Scholar KLB Mathematics Learners Book Grade 9, page 70.
Graph paper.
Rulers.
Oral questions. Written exercise. Assignment.
3 3
Algebra
Equations of Straight Lines - Using Intercepts to Graph Lines
By the end of the lesson, the learner should be able to:

Draw graphs of straight lines using intercepts;
Calculate intercepts from line equations;
Show interest in different methods of graphing lines.
Calculate x and y intercepts from line equations.
Draw graphs of lines using the intercepts.
Compare graphing using intercepts versus using tables of values.
How do we represent linear inequalities in graphs?
Top Scholar KLB Mathematics Learners Book Grade 9, page 71.
Graph paper.
Rulers.
Oral questions. Written exercise. Group work.
3 4
Algebra
Equations of Straight Lines - Parallel and Perpendicular Lines
By the end of the lesson, the learner should be able to:

Identify parallel and perpendicular lines from their equations;
Determine the relationship between gradients of parallel and perpendicular lines;
Appreciate geometric relationships in algebraic form.
Discuss the gradient relationship in parallel and perpendicular lines.
Draw parallel and perpendicular lines on graph paper.
Solve problems involving parallel and perpendicular lines.
How do we use gradient or steepness in our daily activities?
Top Scholar KLB Mathematics Learners Book Grade 9, page 71.
Graph paper.
Rulers and protractors.
Oral questions. Written exercise. Group presentation.
3 5
Algebra
Equations of Straight Lines - Real Life Applications
By the end of the lesson, the learner should be able to:

Apply equations of straight lines to real life situations;
Model real-life scenarios using line equations;
Recognize the use of line equations in real life.
Discuss real-life applications of line equations.
Create and solve problems involving line equations.
Use IT resources to explore applications of line equations.
How do we use gradient or steepness in our daily activities?
Top Scholar KLB Mathematics Learners Book Grade 9, page 72.
Real-life data that can be modeled using lines.
Computers with graphing software.
Oral questions. Written exercise. Project work.

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