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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 | 2 |
Numbers
|
Integers - Subtraction of Integers
Integers - Multiplication 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. Top Scholar KLB Mathematics Learners Book Grade 9, page 3. Charts showing patterns of multiplication of integers. Multiplication tables. |
Oral questions.
Written exercise.
Class assignment.
|
|
| 2 | 3 |
Numbers
|
Integers - Division of Integers
|
By the end of the
lesson, the learner
should be able to:
Perform division operations on integers; Work out combined operations involving division of integers; Apply division of integers to real life situations. |
Discuss the division of integers.
Create tables showing patterns in division of integers. Solve real-life problems involving division of integers. |
How do we apply integers in daily activities?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 4.
Division tables. Worksheets with division problems. |
Oral questions.
Written exercise.
Observation.
|
|
| 2 | 4 |
Numbers
|
Integers - Combined Operations on Integers
|
By the end of the
lesson, the learner
should be able to:
Work out combined operations on integers in the correct order; Apply combined operations on integers to real life situations; Appreciate the importance of order of operations. |
Work out combined operations of integers in the correct order.
Solve real-life problems involving combined operations. Use IT resources to practice operations on integers. |
How do we carry out operations of integers in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 5.
Calculators. Computers with mathematical software. |
Oral questions.
Written exercise.
Project work.
|
|
| 2 | 5 |
Numbers
|
Cubes and Cube Roots - Working out Cubes of Numbers by Multiplication
Cubes and Cube Roots - Determining Cubes from Mathematical Tables |
By the end of the
lesson, the learner
should be able to:
Work out cubes of numbers by multiplication; Apply cubes of numbers in real life situations; Appreciate the use of cubes in real-life contexts. |
Use stacks of cubes to demonstrate the concept of cube.
Work out cubes of numbers using multiplication. Relate cubes to volume of cubic objects. |
How do we work out the cubes of numbers?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 8.
Small cubes. Charts showing cubes of numbers. Top Scholar KLB Mathematics Learners Book Grade 9, page 11. Mathematical tables. Calculators. |
Oral questions.
Written exercise.
Observation of practical work.
|
|
| 3 | 1 |
Numbers
|
Cubes and Cube Roots - Cubes of Numbers Greater Than 10
|
By the end of the
lesson, the learner
should be able to:
Determine cubes of numbers greater than 10 using mathematical tables; Apply cube calculations to real life situations; Appreciate the use of mathematical tables. |
Discuss the concept of cubes of numbers greater than 10.
Use mathematical tables to find cubes of numbers greater than 10. Solve problems involving cubes of large numbers. |
How do we work out the cubes of numbers?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 12.
Mathematical tables. Calculators. |
Oral questions.
Written exercise.
Group activity.
|
|
| 3 | 2 |
Numbers
|
Cubes and Cube Roots - Cubes of Numbers Less Than 1
|
By the end of the
lesson, the learner
should be able to:
Determine cubes of numbers less than 1 using mathematical tables; Apply cube calculations to real life situations; Show interest in working with decimal numbers. |
Discuss the concept of cubes of numbers less than 1.
Use mathematical tables to find cubes of decimal numbers. Solve problems involving cubes of decimal numbers. |
How do we work out the cubes of numbers?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 13.
Mathematical tables. Calculators. |
Oral questions.
Written exercise.
Assignment.
|
|
| 3 | 3 |
Numbers
|
Cubes and Cube Roots - Determining Cube Roots by Factor Method
|
By the end of the
lesson, the learner
should be able to:
Determine cube roots of numbers by factor method; Apply cube root calculations to real life situations; Appreciate the relationship between cubes and cube roots. |
Demonstrate finding cube roots using factor method.
Discuss the relationship between cube and cube root. Solve problems involving cube roots. |
How do we work out the cube roots of numbers?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 15.
Cubes of different sizes. Factor trees. |
Oral questions.
Written exercise.
Group work.
|
|
| 3 | 4 |
Numbers
|
Cubes and Cube Roots - Determining Cube Roots from Mathematical Tables
Cubes and Cube Roots - Cube Roots of Numbers Greater Than 1000 |
By the end of the
lesson, the learner
should be able to:
Determine cube roots of numbers from mathematical tables; Apply cube root calculations to real life situations; Show interest in using mathematical tables. |
Read the cube roots of numbers from mathematical tables.
Compare cube roots found by factorization and from tables. Solve problems involving cube roots. |
How do we work out the cube roots of numbers?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 16.
Mathematical tables. Calculators. Top Scholar KLB Mathematics Learners Book Grade 9, page 17. |
Oral questions.
Written exercise.
Assignment.
|
|
| 3 | 5 |
Numbers
|
Cubes and Cube Roots - Cube Roots of Numbers Between 0 and 1
|
By the end of the
lesson, the learner
should be able to:
Determine cube roots of numbers between 0 and 1 using mathematical tables; Apply cube root calculations to real life situations; Show interest in working with decimal numbers. |
Discuss cube roots of decimal numbers.
Use mathematical tables to find cube roots of decimal numbers. Solve problems involving cube roots of decimal numbers. |
How do we work out the cube roots of numbers?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 18.
Mathematical tables. Calculators. |
Oral questions.
Written exercise.
Assignment.
|
|
| 4 | 1 |
Numbers
|
Cubes and Cube Roots - Using a Calculator for Cubes and Cube Roots
|
By the end of the
lesson, the learner
should be able to:
Work out cubes and cube roots using calculators; Apply cube and cube root calculations to real life situations; Appreciate the use of technology in mathematical calculations. |
Demonstrate how to use a calculator to find cubes and cube roots.
Compare results from mathematical tables and calculators. Solve real-life problems using a calculator. |
Where do we apply cubes and cube roots in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 19.
Calculators. Computers with mathematical software. |
Oral questions.
Written exercise.
Practical assessment.
|
|
| 4 | 2 |
Numbers
|
Cubes and Cube Roots - Application of Cubes and Cube Roots
|
By the end of the
lesson, the learner
should be able to:
Apply cubes and cube roots in real life situations; Solve problems involving cubes and cube roots; Appreciate the relevance of cubes and cube roots in everyday life. |
Discuss applications of cubes and cube roots in real life.
Solve real-life problems involving cubes and cube roots. Create projects demonstrating applications of cubes and cube roots. |
Where do we apply cubes and cube roots in real life situations?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 21.
Real-life objects with cubic shapes. Calculators. |
Oral questions.
Written exercise.
Project work.
|
|
| 4 | 3 |
Numbers
|
Indices and Logarithms - Expressing Numbers in Index Form
Indices and Logarithms - Laws of Indices: Multiplication |
By the end of the
lesson, the learner
should be able to:
Express numbers in index form in different situations; Use index form to simplify expressions; Appreciate the use of indices in representing large numbers. |
Discuss indices and identify the base.
Express numbers in index form. Solve problems involving index form. |
How do we express numbers in powers?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 26.
Charts showing numbers in index form. Calculators. Top Scholar KLB Mathematics Learners Book Grade 9, page 28. Charts showing laws of indices. |
Oral questions.
Written exercise.
Group activity.
|
|
| 4 | 4 |
Numbers
|
Indices and Logarithms - Laws of Indices: Division
|
By the end of the
lesson, the learner
should be able to:
Generate the laws of indices for division; Apply the laws of indices in different situations; Show interest in using laws of indices for calculation. |
Show the laws of indices using division.
Use the laws of indices to work out problems. Simplify expressions using division law of indices. |
How do we express numbers in powers?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 29.
Charts showing laws of indices. Calculators. |
Oral questions.
Written exercise.
Group work.
|
|
| 4 | 5 |
Numbers
|
Indices and Logarithms - Laws of Indices: Power of a Power
|
By the end of the
lesson, the learner
should be able to:
Generate the laws of indices for power of a power; Apply the laws of indices in different situations; Appreciate the use of laws of indices in simplifying calculations. |
Show the laws of indices for power of a power.
Use the laws of indices to work out problems. Simplify expressions using power of a power law. |
How do we express numbers in powers?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 30.
Charts showing laws of indices. Calculators. |
Oral questions.
Written exercise.
Assignment.
|
|
| 5 | 1 |
Numbers
|
Indices and Logarithms - Powers of 10 and Common Logarithms
Indices and Logarithms - Using IT for Indices and Logarithms |
By the end of the
lesson, the learner
should be able to:
Relate powers of 10 to common logarithms; Apply common logarithms in different situations; Show interest in using logarithms for calculation. |
Discuss and relate powers of 10 to common logarithms.
Use mathematical tables to find common logarithms. Solve problems involving common logarithms. |
How do we express numbers in powers?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 33.
Mathematical tables. Calculators. Top Scholar KLB Mathematics Learners Book Grade 9, page 34. Computers with mathematical software. |
Oral questions.
Written exercise.
Group presentation.
|
|
| 5 | 2 |
Numbers
|
Compound Proportions and Rates of Work - Introduction to Proportions
|
By the end of the
lesson, the learner
should be able to:
Understand the concept of proportion in real life situations; Identify proportional relationships; Appreciate the importance of proportions in everyday contexts. |
Discuss the concept of proportions with examples from daily life.
Identify proportional relationships in various contexts. Solve simple proportion problems. |
What are proportions?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 35.
Charts showing proportional relationships. Real-life examples of proportions. |
Oral questions.
Written exercise.
Observation.
|
|
| 5 | 3 |
Numbers
|
Compound Proportions and Rates of Work - Dividing Quantities into Proportional Parts
|
By the end of the
lesson, the learner
should be able to:
Divide quantities into proportional parts in real life situations; Express proportional parts as fractions; Appreciate the importance of proportional division in fair sharing. |
Discuss and divide quantities into proportional parts.
Express proportional parts as fractions. Solve problems involving proportional division. |
What are proportions?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 35.
Counters (bottle tops, small stones). Charts showing proportional division. |
Oral questions.
Written exercise.
Practical activity.
|
|
| 5 | 4 |
Numbers
|
Compound Proportions and Rates of Work - Direct Proportion
|
By the end of the
lesson, the learner
should be able to:
Identify direct proportional relationships; Solve problems involving direct proportion; Show interest in applying direct proportion to real-life situations. |
Discuss direct proportion with real-life examples.
Identify the characteristics of direct proportion. Solve problems involving direct proportion. |
What are proportions?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 36.
Charts showing direct proportion. Graphs of direct proportion. |
Oral questions.
Written exercise.
Group work.
|
|
| 5 | 5 |
Numbers
|
Compound Proportions and Rates of Work - Inverse Proportion
Compound Proportions and Rates of Work - Relating Different Ratios |
By the end of the
lesson, the learner
should be able to:
Identify inverse proportional relationships; Solve problems involving inverse proportion; Appreciate the difference between direct and inverse proportion. |
Discuss inverse proportion with real-life examples.
Identify the characteristics of inverse proportion. Solve problems involving inverse proportion. |
What are proportions?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 36.
Charts showing inverse proportion. Graphs of inverse proportion. Top Scholar KLB Mathematics Learners Book Grade 9, page 37. Charts showing different ratios. Real-life examples of ratio comparison. |
Oral questions.
Written exercise.
Assignment.
|
|
| 6 | 1 |
Numbers
|
Compound Proportions and Rates of Work - Working Out Compound Proportions
|
By the end of the
lesson, the learner
should be able to:
Work out compound proportions using ratio method; Apply compound proportions to real life situations; Appreciate the use of compound proportions in problem-solving. |
Determine compound proportions using ratios.
Solve problems involving compound proportions. Discuss real-life applications of compound proportions. |
Why do we work fast?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 39.
Charts showing compound proportions. Calculators. |
Oral questions.
Written exercise.
Assignment.
|
|
| 6 | 2 |
Numbers
|
Compound Proportions and Rates of Work - Solving Problems Using Compound Proportions
|
By the end of the
lesson, the learner
should be able to:
Apply compound proportions to solve complex real-life problems; Develop strategies for solving compound proportion problems; Show interest in the versatility of proportional reasoning. |
Work out complex problems involving compound proportions.
Develop step-by-step approach to solving compound proportion problems. Apply proportional reasoning to real-life scenarios. |
Why do we work fast?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 39.
Worksheets with compound proportion problems. Calculators. |
Oral questions.
Written exercise.
Group presentation.
|
|
| 6 | 3 |
Numbers
|
Compound Proportions and Rates of Work - Introduction to Rates of Work
Compound Proportions and Rates of Work - Calculating Rates of Work |
By the end of the
lesson, the learner
should be able to:
Understand the concept of rate of work; Express rate of work in mathematical form; Appreciate the importance of measuring work efficiency. |
Discuss the concept of rates of work.
Express rates of work in mathematical form. Relate rates of work to time efficiency in daily activities. |
Why do we work fast?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 40.
Charts showing rates of work. Real-life examples of work rates. Calculators. |
Oral questions.
Written exercise.
Observation.
|
|
| 6 | 4 |
Numbers
|
Compound Proportions and Rates of Work - Combined Rates of Work
|
By the end of the
lesson, the learner
should be able to:
Calculate combined rates of work when multiple workers or machines work together; Apply rates of work to real life situations; Appreciate cooperation and teamwork in accomplishing tasks. |
Work out combined rates of work.
Solve problems involving tasks completed by multiple workers. Discuss real-life scenarios involving combined rates of work. |
Why do we work fast?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 41.
Charts showing combined rates of work. Calculators. |
Oral questions.
Written exercise.
Assignment.
|
|
| 6 | 5 |
Numbers
|
Compound Proportions and Rates of Work - Rates of Work and Time
|
By the end of the
lesson, the learner
should be able to:
Calculate time required to complete tasks based on rates of work; Apply inverse proportion in rates of work problems; Show interest in time efficiency and planning. |
Discuss the relationship between rate of work and time.
Calculate time required to complete tasks based on work rates. Solve problems involving time planning based on work rates. |
Why do we work fast?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 41.
Worksheets with time and rate problems. Calculators. |
Oral questions.
Written exercise.
Group activity.
|
|
| 7 | 1 |
Numbers
|
Compound Proportions and Rates of Work - Rates of Work and Output
|
By the end of the
lesson, the learner
should be able to:
Calculate output based on rates of work; Apply direct proportion in rates of work problems; Appreciate the relationship between rate and productivity. |
Discuss the relationship between rate of work and output.
Calculate output based on different work rates. Solve problems involving productivity and work rates. |
Why do we work fast?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 42.
Charts showing productivity and rates. Calculators. |
Oral questions.
Written exercise.
Assignment.
|
|
| 7 | 2 |
Numbers
Algebra |
Compound Proportions and Rates of Work - Using IT for Rates of Work
Matrices - Identifying a Matrix |
By the end of the
lesson, the learner
should be able to:
Use IT devices to learn more on compound proportions and rates of work; Apply compound proportions and rates of work to real life situations; Appreciate use of technology in learning mathematics. |
Play games on rates of work using IT devices.
Use spreadsheets to calculate and analyze rates of work. Create digital presentations on applications of rates of work. |
Why do we work fast?
|
Top Scholar KLB Mathematics Learners Book Grade 9, page 42.
Computers with spreadsheet software. Calculators. Top Scholar KLB Mathematics Learners Book Grade 9, page 43. Charts showing tables and matrices. Real-life examples of tables. |
Oral questions.
Written exercise.
Digital project.
|
|
| 7 | 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.
|
|
| 7 | 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.
|
|
| 7 | 5 |
Algebra
|
Matrices - Determining Compatibility for Addition
Matrices - Determining Compatibility for Subtraction |
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. Top Scholar KLB Mathematics Learners Book Grade 9, page 49. |
Oral questions.
Written exercise.
Assignment.
|
|
| 8 |
Midterm break |
||||||||
| 9 | 1 |
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.
|
|
| 9 | 2 |
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.
|
|
| 9 | 3 |
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.
|
|
| 9 | 4 |
Algebra
|
Equations of Straight Lines - Introduction to Gradient
Equations of Straight Lines - Identifying the 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. Ladders or sticks for demonstrating gradients. |
Oral questions.
Written exercise.
Observation.
|
|
| 9 | 5 |
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.
|
|
| 10 | 1 |
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.
|
|
| 10 | 2 |
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.
|
|
| 10 | 3 |
Algebra
|
Equations of Straight Lines - Zero and Undefined Gradients
Equations of Straight Lines - Equation from Two Points |
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. Top Scholar KLB Mathematics Learners Book Grade 9, page 62. Calculators. |
Oral questions.
Written exercise.
Group presentation.
|
|
| 10 | 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.
|
|
| 10 | 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.
|
|
| 11 | 1 |
Algebra
|
Equations of Straight Lines - Express Equation in Form y = mx + c
Equations of Straight Lines - Interpreting 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. Top Scholar KLB Mathematics Learners Book Grade 9, page 67. Charts showing lines with different gradients. |
Oral questions.
Written exercise.
Group presentation.
|
|
| 11 | 2 |
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.
|
|
| 11 | 3 |
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.
|
|
| 11 | 4 |
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.
|
|
| 11 | 5 |
Algebra
|
Equations of Straight Lines - Parallel and Perpendicular Lines
Equations of Straight Lines - Real Life Applications |
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. 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.
Group presentation.
|
|
| 12 | 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.
|
|
| 12 | 2 |
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.
|
|
| 12 | 3 |
Algebra
|
Linear Inequalities - Solving Linear Inequalities (Multiplication and Division)
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 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. Top Scholar KLB Mathematics Learners Book Grade 9, page 77. Worksheets with inequality problems. |
Oral questions.
Written exercise.
Class assignment.
|
|
| 12 | 4 |
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 | 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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