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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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