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WK | LSN | STRAND | SUB-STRAND | LESSON LEARNING OUTCOMES | LEARNING EXPERIENCES | KEY INQUIRY QUESTIONS | LEARNING RESOURCES | ASSESSMENT METHODS | REFLECTION |
---|---|---|---|---|---|---|---|---|---|
2 | 1 |
Numbers
|
Integers - Addition of Integers
|
By the end of the
lesson, the learner
should be able to:
Perform basic operations on integers in different situations; Work out combined operations on integers in different situations; Appreciate the use of integers in real life situations. |
Discuss and work out basic operations on integers using number cards and charts.
Play games involving numbers and operations. Pick integers and perform basic operations. |
How do we carry out operations of integers in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 1.
Number cards. Charts with basic operations on integers. |
Oral questions.
Written exercise.
Observation.
|
|
2 | 1-5 |
Numbers
|
Integers - Addition of Integers
|
By the end of the
lesson, the learner
should be able to:
Perform basic operations on integers in different situations; Work out combined operations on integers in different situations; Appreciate the use of integers in real life situations. |
Discuss and work out basic operations on integers using number cards and charts.
Play games involving numbers and operations. Pick integers and perform basic operations. |
How do we carry out operations of integers in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 1.
Number cards. Charts with basic operations on integers. |
Oral questions.
Written exercise.
Observation.
|
|
2 |
Op |
||||||||
3 | 1 |
Numbers
|
Integers - Subtraction of Integers
|
By the end of the
lesson, the learner
should be able to:
Perform basic operations on integers in different situations; Work out combined operations on integers in different situations; Apply integers to real life situations. |
Discuss and work out subtraction of integers using number cards.
Solve real-life problems involving subtraction of integers. Identify operations involving subtraction of integers in daily activities. |
How do we apply integers in daily activities?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 2.
Number cards. Charts with subtraction operations. |
Oral questions.
Written exercise.
Class assignment.
|
|
3 | 2 |
Numbers
|
Integers - Subtraction of Integers
|
By the end of the
lesson, the learner
should be able to:
Perform basic operations on integers in different situations; Work out combined operations on integers in different situations; Apply integers to real life situations. |
Discuss and work out subtraction of integers using number cards.
Solve real-life problems involving subtraction of integers. Identify operations involving subtraction of integers in daily activities. |
How do we apply integers in daily activities?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 2.
Number cards. Charts with subtraction operations. |
Oral questions.
Written exercise.
Class assignment.
|
|
3 | 3 |
Numbers
|
Integers - Subtraction of Integers
|
By the end of the
lesson, the learner
should be able to:
Perform basic operations on integers in different situations; Work out combined operations on integers in different situations; Apply integers to real life situations. |
Discuss and work out subtraction of integers using number cards.
Solve real-life problems involving subtraction of integers. Identify operations involving subtraction of integers in daily activities. |
How do we apply integers in daily activities?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 2.
Number cards. Charts with subtraction operations. |
Oral questions.
Written exercise.
Class assignment.
|
|
3 | 4 |
Numbers
|
Integers - Multiplication of Integers
|
By the end of the
lesson, the learner
should be able to:
Perform multiplication of integers in different situations; Work out combined operations involving multiplication of integers; Appreciate the use of multiplication of integers in real life. |
Discuss multiplication of integers using patterns.
Work in groups to create tables of multiplication of positive and negative integers. Solve problems involving multiplication of integers. |
How do we carry out operations of integers in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 3.
Charts showing patterns of multiplication of integers. Multiplication tables. |
Oral questions.
Written exercise.
Group presentation.
|
|
3 | 5 |
Numbers
|
Integers - Multiplication of Integers
|
By the end of the
lesson, the learner
should be able to:
Perform multiplication of integers in different situations; Work out combined operations involving multiplication of integers; Appreciate the use of multiplication of integers in real life. |
Discuss multiplication of integers using patterns.
Work in groups to create tables of multiplication of positive and negative integers. Solve problems involving multiplication of integers. |
How do we carry out operations of integers in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 3.
Charts showing patterns of multiplication of integers. Multiplication tables. |
Oral questions.
Written exercise.
Group presentation.
|
|
4 | 1 |
Algebra
|
Matrices - Identifying a Matrix
|
By the end of the
lesson, the learner
should be able to:
Identify a matrix in different situations; Represent tabular information as a matrix; Appreciate the use of matrices in organizing information. |
Discuss the use of tables such as football league tables, travel schedules, shopping lists.
Count the number of rows and columns in tables. Represent tables as matrices. |
How do we use matrices in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 43.
Charts showing tables and matrices. Real-life examples of tables. |
Oral questions.
Written exercise.
Observation.
|
|
4 | 2 |
Algebra
|
Matrices - Determining the Order of a Matrix
|
By the end of the
lesson, the learner
should be able to:
Determine the order of a matrix in different situations; Identify rows and columns in a matrix; Show interest in describing matrices systematically. |
Arrange items in rows and columns and discuss how to represent a matrix.
Organize objects in rows and columns to form matrices. Give the order of matrices in terms of rows and columns. |
How do we use matrices in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 45.
Paper cards for creating matrices. Worksheets with various matrices. |
Oral questions.
Written exercise.
Practical activity.
|
|
4 | 3 |
Algebra
|
Matrices - Determining the Order of a Matrix
|
By the end of the
lesson, the learner
should be able to:
Determine the order of a matrix in different situations; Identify rows and columns in a matrix; Show interest in describing matrices systematically. |
Arrange items in rows and columns and discuss how to represent a matrix.
Organize objects in rows and columns to form matrices. Give the order of matrices in terms of rows and columns. |
How do we use matrices in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 45.
Paper cards for creating matrices. Worksheets with various matrices. |
Oral questions.
Written exercise.
Practical activity.
|
|
4 | 4 |
Algebra
|
Matrices - Determining the Position of Items in a Matrix
|
By the end of the
lesson, the learner
should be able to:
Determine the position of items in a matrix; Identify elements by their positions; Appreciate the importance of positional notation in matrices. |
Discuss and identify the position of each item in a matrix.
Use paper cards to create matrices and identify positions. Solve problems involving position of elements in matrices. |
How do we use matrices in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 46.
Paper cards labeled with letters or numbers. Charts showing element positions. |
Oral questions.
Written exercise.
Group activity.
|
|
4 | 5 |
Algebra
|
Matrices - Determining Compatibility for Addition
|
By the end of the
lesson, the learner
should be able to:
Determine compatibility of matrices for addition; Identify matrices of the same order; Show interest in mathematical conditions for operations. |
Discuss and identify matrices with equal numbers of rows and columns.
Compare orders of different matrices. Determine which matrices can be added together. |
How do we use matrices in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 47.
Charts showing matrices of various orders. Worksheets with matrices. |
Oral questions.
Written exercise.
Assignment.
|
|
5 | 1 |
Algebra
|
Matrices - Determining Compatibility for Subtraction
|
By the end of the
lesson, the learner
should be able to:
Determine compatibility of matrices for subtraction; Identify matrices of the same order; Appreciate the rules of matrix operations. |
Discuss and identify matrices with equal numbers of rows and columns.
Compare orders of different matrices. Determine which matrices can be subtracted. |
How do we use matrices in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 49.
Charts showing matrices of various orders. Worksheets with matrices. |
Oral questions.
Written exercise.
Group work.
|
|
5 | 2 |
Algebra
|
Matrices - Determining Compatibility for Subtraction
|
By the end of the
lesson, the learner
should be able to:
Determine compatibility of matrices for subtraction; Identify matrices of the same order; Appreciate the rules of matrix operations. |
Discuss and identify matrices with equal numbers of rows and columns.
Compare orders of different matrices. Determine which matrices can be subtracted. |
How do we use matrices in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 49.
Charts showing matrices of various orders. Worksheets with matrices. |
Oral questions.
Written exercise.
Group work.
|
|
5 | 3 |
Algebra
|
Matrices - Addition of Matrices
|
By the end of the
lesson, the learner
should be able to:
Carry out addition of matrices in real life situations; Add corresponding elements in compatible matrices; Show interest in using matrices to solve problems. |
Add matrices by adding corresponding elements.
Solve real-life problems involving addition of matrices. Discuss what is represented by rows and columns when adding matrices. |
How do we use matrices in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 51.
Charts showing addition of matrices. Calculators. |
Oral questions.
Written exercise.
Assignment.
|
|
5 | 4 |
Algebra
|
Matrices - Addition of Matrices
|
By the end of the
lesson, the learner
should be able to:
Carry out addition of matrices in real life situations; Add corresponding elements in compatible matrices; Show interest in using matrices to solve problems. |
Add matrices by adding corresponding elements.
Solve real-life problems involving addition of matrices. Discuss what is represented by rows and columns when adding matrices. |
How do we use matrices in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 51.
Charts showing addition of matrices. Calculators. |
Oral questions.
Written exercise.
Assignment.
|
|
5 | 5 |
Algebra
|
Matrices - Subtraction of Matrices
|
By the end of the
lesson, the learner
should be able to:
Carry out subtraction of matrices in real life situations; Subtract corresponding elements in compatible matrices; Appreciate the use of matrices in data analysis. |
Subtract matrices by subtracting corresponding elements.
Solve real-life problems involving subtraction of matrices. Discuss what is represented by rows and columns when subtracting matrices. |
How do we use matrices in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 54.
Charts showing subtraction of matrices. Calculators. |
Oral questions.
Written exercise.
Group presentation.
|
|
6 | 1 |
Algebra
|
Matrices - Application of Matrices
|
By the end of the
lesson, the learner
should be able to:
Apply matrices in real life situations; Use matrices to organize and process information; Reflect on the use of matrices in real life. |
Discuss real-life applications of matrices.
Create and solve problems involving matrices. Present projects showcasing applications of matrices. |
How do we use matrices in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 57.
Real-life data that can be represented in matrices. Calculators. |
Oral questions.
Written exercise.
Project work.
|
|
6 | 2 |
Algebra
|
Matrices - Application of Matrices
|
By the end of the
lesson, the learner
should be able to:
Apply matrices in real life situations; Use matrices to organize and process information; Reflect on the use of matrices in real life. |
Discuss real-life applications of matrices.
Create and solve problems involving matrices. Present projects showcasing applications of matrices. |
How do we use matrices in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 57.
Real-life data that can be represented in matrices. Calculators. |
Oral questions.
Written exercise.
Project work.
|
|
6 | 3 |
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.
|
|
6 | 4 |
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.
|
|
6 | 5 |
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.
|
|
7 | 1 |
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.
|
|
7 | 2 |
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.
|
|
7 | 3 |
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.
|
|
7 | 4 |
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.
|
|
7 | 5 |
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.
|
|
8 | 1 |
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.
|
|
8 | 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.
|
|
8 | 3 |
Algebra
|
Equations of Straight Lines - Deriving the Equation from Two Points
|
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. |
Oral questions.
Written exercise.
Assignment.
|
|
8 | 4 |
Algebra
|
Equations of Straight Lines - Deriving the Equation from Two Points
|
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. |
Oral questions.
Written exercise.
Assignment.
|
|
8 | 5 |
Algebra
|
Equations of Straight Lines - Equation from a Point and Gradient
|
By the end of the
lesson, the learner
should be able to:
Determine the equation of a straight line from a known point and gradient; Apply the point-slope formula; Show interest in different ways of finding line equations. |
Work out the equation of a straight line given a point and gradient.
Apply the point-slope formula. Solve problems involving lines with given point and gradient. |
How do we use gradient or steepness in our daily activities?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 64.
Graph paper. Calculators. |
Oral questions.
Written exercise.
Assignment.
|
|
9 | 1 |
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.
|
|
9 | 2 |
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.
|
|
9 | 3 |
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.
|
|
9 | 4 |
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.
|
|
9 | 5 |
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.
|
|
10 | 1 |
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.
|
|
10 | 2 |
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.
|
|
10 | 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.
|
|
10 | 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.
|
|
10 | 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.
|
|
11 | 1 |
Algebra
|
Linear Inequalities - Introduction to Inequalities
|
By the end of the
lesson, the learner
should be able to:
Understand the concept of inequality; Represent inequalities using symbols; Appreciate the use of inequalities in expressing constraints. |
Discuss inequality statements from real-life situations.
Represent inequalities using appropriate symbols. Identify examples of inequalities in everyday life. |
How do we represent linear inequalities in graphs?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 75.
Charts showing inequality symbols. Real-life examples of inequalities. |
Oral questions.
Written exercise.
Observation.
|
|
11 | 2 |
Algebra
|
Linear Inequalities - Introduction to Inequalities
|
By the end of the
lesson, the learner
should be able to:
Understand the concept of inequality; Represent inequalities using symbols; Appreciate the use of inequalities in expressing constraints. |
Discuss inequality statements from real-life situations.
Represent inequalities using appropriate symbols. Identify examples of inequalities in everyday life. |
How do we represent linear inequalities in graphs?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 75.
Charts showing inequality symbols. Real-life examples of inequalities. |
Oral questions.
Written exercise.
Observation.
|
|
11 | 3 |
Algebra
|
Linear Inequalities - Solving Linear Inequalities (Addition and Subtraction)
|
By the end of the
lesson, the learner
should be able to:
Solve linear inequalities in one unknown involving addition and subtraction; Apply linear inequalities to real life situations; Show interest in using inequalities to solve problems. |
Form and work out inequalities in one unknown involving addition and subtraction.
Discuss the rules for solving inequalities. Solve real-life problems using inequalities. |
How do we represent linear inequalities in graphs?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 75.
Charts showing inequality symbols. Number lines. |
Oral questions.
Written exercise.
Group activity.
|
|
11 | 4 |
Algebra
|
Linear Inequalities - Solving Linear Inequalities (Addition and Subtraction)
|
By the end of the
lesson, the learner
should be able to:
Solve linear inequalities in one unknown involving addition and subtraction; Apply linear inequalities to real life situations; Show interest in using inequalities to solve problems. |
Form and work out inequalities in one unknown involving addition and subtraction.
Discuss the rules for solving inequalities. Solve real-life problems using inequalities. |
How do we represent linear inequalities in graphs?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 75.
Charts showing inequality symbols. Number lines. |
Oral questions.
Written exercise.
Group activity.
|
|
11 | 5 |
Algebra
|
Linear Inequalities - Solving Linear Inequalities (Multiplication and Division)
|
By the end of the
lesson, the learner
should be able to:
Solve linear inequalities in one unknown involving multiplication and division; Apply linear inequalities to real life situations; Appreciate the rule for inequality sign when multiplying or dividing by negative numbers. |
Discuss inequality operations with multiplication and division.
Demonstrate the effect of multiplication by negative numbers on inequality signs. Solve inequalities involving multiplication and division. |
How do we represent linear inequalities in graphs?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 76.
Charts showing inequality rules. Number lines. |
Oral questions.
Written exercise.
Class assignment.
|
|
12 | 1 |
Algebra
|
Linear Inequalities - Solving Linear Inequalities (Combined Operations)
|
By the end of the
lesson, the learner
should be able to:
Solve linear inequalities in one unknown involving more than one operation; Apply complex linear inequalities to real life situations; Show interest in solving multi-step inequalities. |
Form and solve inequalities involving multiple operations.
Apply step-by-step approach to solving complex inequalities. Solve real-life problems using complex inequalities. |
How do we represent linear inequalities in graphs?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 77.
Worksheets with inequality problems. Number lines. |
Oral questions.
Written exercise.
Group work.
|
|
12 | 2 |
Algebra
|
Linear Inequalities - Solving Linear Inequalities (Combined Operations)
|
By the end of the
lesson, the learner
should be able to:
Solve linear inequalities in one unknown involving more than one operation; Apply complex linear inequalities to real life situations; Show interest in solving multi-step inequalities. |
Form and solve inequalities involving multiple operations.
Apply step-by-step approach to solving complex inequalities. Solve real-life problems using complex inequalities. |
How do we represent linear inequalities in graphs?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 77.
Worksheets with inequality problems. Number lines. |
Oral questions.
Written exercise.
Group work.
|
|
12 | 3 |
Algebra
|
Linear Inequalities - Graphical Representation in One Unknown
|
By the end of the
lesson, the learner
should be able to:
Represent linear inequalities in one unknown graphically; Use number lines to represent solutions; Appreciate graphical representation as a way of visualizing solutions. |
Generate a table of values for boundary lines.
Draw linear inequalities in one unknown on number lines. Indicate regions that satisfy inequalities. |
How do we represent linear inequalities in graphs?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 78.
Number lines. Graph paper. |
Oral questions.
Written exercise.
Practical activity.
|
|
12 | 4 |
Algebra
|
Linear Inequalities - Graphical Representation in Two Unknowns
|
By the end of the
lesson, the learner
should be able to:
Represent linear inequalities in two unknowns graphically; Identify regions that satisfy inequalities; Show interest in graphical representation of solutions. |
Generate a table of values for boundary lines.
Draw linear inequalities in two unknowns on Cartesian planes. Indicate and shade regions that satisfy inequalities. |
How do we use linear inequalities in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 79.
Graph paper. Rulers and protractors. |
Oral questions.
Written exercise.
Assignment.
|
|
12 | 5 |
Algebra
|
Linear Inequalities - Graphical Representation in Two Unknowns
|
By the end of the
lesson, the learner
should be able to:
Represent linear inequalities in two unknowns graphically; Identify regions that satisfy inequalities; Show interest in graphical representation of solutions. |
Generate a table of values for boundary lines.
Draw linear inequalities in two unknowns on Cartesian planes. Indicate and shade regions that satisfy inequalities. |
How do we use linear inequalities in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 79.
Graph paper. Rulers and protractors. |
Oral questions.
Written exercise.
Assignment.
|
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