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WK | LSN | STRAND | SUB-STRAND | LESSON LEARNING OUTCOMES | LEARNING EXPERIENCES | KEY INQUIRY QUESTIONS | LEARNING RESOURCES | ASSESSMENT METHODS | REFLECTION |
---|---|---|---|---|---|---|---|---|---|
1 | 1 |
Numbers
|
Integers - Addition of Integers
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; 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. Top Scholar KLB Mathematics Learners Book Grade 9, page 2. 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.
Observation.
|
|
1 | 2 |
Numbers
|
Integers - Division of Integers
Integers - Combined Operations on Integers Cubes and Cube Roots - Working out Cubes of Numbers by Multiplication Cubes and Cube Roots - Determining Cubes from Mathematical Tables Cubes and Cube Roots - Cubes of Numbers Greater Than 10 Cubes and Cube Roots - Cubes of Numbers Less Than 1 |
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. Top Scholar KLB Mathematics Learners Book Grade 9, page 5. Calculators. Computers with mathematical software. 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. Top Scholar KLB Mathematics Learners Book Grade 9, page 12. Top Scholar KLB Mathematics Learners Book Grade 9, page 13. |
Oral questions.
Written exercise.
Observation.
|
|
1 | 3 |
Numbers
|
Cubes and Cube Roots - Determining Cube Roots by Factor Method
Cubes and Cube Roots - Determining Cube Roots from Mathematical Tables Cubes and Cube Roots - Cube Roots of Numbers Greater Than 1000 Cubes and Cube Roots - Cube Roots of Numbers Between 0 and 1 Cubes and Cube Roots - Using a Calculator for Cubes and Cube Roots Cubes and Cube Roots - Application of Cubes and Cube Roots |
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. Top Scholar KLB Mathematics Learners Book Grade 9, page 16. Mathematical tables. Calculators. Top Scholar KLB Mathematics Learners Book Grade 9, page 17. Top Scholar KLB Mathematics Learners Book Grade 9, page 18. Top Scholar KLB Mathematics Learners Book Grade 9, page 19. Computers with mathematical software. Top Scholar KLB Mathematics Learners Book Grade 9, page 21. Real-life objects with cubic shapes. |
Oral questions.
Written exercise.
Group work.
|
|
1 | 4 |
Numbers
|
Indices and Logarithms - Expressing Numbers in Index Form
Indices and Logarithms - Laws of Indices: Multiplication Indices and Logarithms - Laws of Indices: Division Indices and Logarithms - Laws of Indices: Power of a Power Indices and Logarithms - Powers of 10 and Common Logarithms Indices and Logarithms - Using IT for Indices and Logarithms Compound Proportions and Rates of Work - Introduction to Proportions |
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. Top Scholar KLB Mathematics Learners Book Grade 9, page 29. Top Scholar KLB Mathematics Learners Book Grade 9, page 30. Top Scholar KLB Mathematics Learners Book Grade 9, page 33. Mathematical tables. Top Scholar KLB Mathematics Learners Book Grade 9, page 34. Computers with mathematical software. Top Scholar KLB Mathematics Learners Book Grade 9, page 35. Charts showing proportional relationships. Real-life examples of proportions. |
Oral questions.
Written exercise.
Group activity.
|
|
1 | 5 |
Numbers
|
Compound Proportions and Rates of Work - Dividing Quantities into Proportional Parts
Compound Proportions and Rates of Work - Direct Proportion Compound Proportions and Rates of Work - Inverse Proportion Compound Proportions and Rates of Work - Relating Different Ratios Compound Proportions and Rates of Work - Working Out Compound Proportions Compound Proportions and Rates of Work - Solving Problems Using Compound Proportions |
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. Top Scholar KLB Mathematics Learners Book Grade 9, page 36. Charts showing direct proportion. Graphs of direct proportion. 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. Top Scholar KLB Mathematics Learners Book Grade 9, page 39. Charts showing compound proportions. Calculators. Worksheets with compound proportion problems. |
Oral questions.
Written exercise.
Practical activity.
|
|
2 | 1 |
Numbers
Algebra |
Compound Proportions and Rates of Work - Introduction to Rates of Work
Compound Proportions and Rates of Work - Calculating Rates of Work Compound Proportions and Rates of Work - Combined Rates of Work Compound Proportions and Rates of Work - Rates of Work and Time Compound Proportions and Rates of Work - Rates of Work and Output 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:
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. Top Scholar KLB Mathematics Learners Book Grade 9, page 41. Charts showing combined rates of work. Worksheets with time and rate problems. Top Scholar KLB Mathematics Learners Book Grade 9, page 42. Charts showing productivity and rates. Computers with spreadsheet software. 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.
|
|
2 | 2 |
Algebra
|
Matrices - Determining the Order of a Matrix
Matrices - Determining the Position of Items in a Matrix Matrices - Determining Compatibility for Addition Matrices - Determining Compatibility for Subtraction Matrices - Addition of Matrices Matrices - Subtraction of Matrices |
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. Top Scholar KLB Mathematics Learners Book Grade 9, page 46. Paper cards labeled with letters or numbers. Charts showing element positions. 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. Top Scholar KLB Mathematics Learners Book Grade 9, page 51. Charts showing addition of matrices. Calculators. Top Scholar KLB Mathematics Learners Book Grade 9, page 54. Charts showing subtraction of matrices. |
Oral questions.
Written exercise.
Practical activity.
|
|
2 | 3 |
Algebra
|
Matrices - Application of Matrices
Equations of Straight Lines - Introduction to Gradient Equations of Straight Lines - Identifying the Gradient Equations of Straight Lines - Measuring Gradient Equations of Straight Lines - Gradient from Two Known Points Equations of Straight Lines - Positive and Negative Gradients |
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. 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. Top Scholar KLB Mathematics Learners Book Grade 9, page 59. Rulers and measuring tapes. Inclined objects for measurement. Top Scholar KLB Mathematics Learners Book Grade 9, page 60. Graph paper. Rulers and protractors. Top Scholar KLB Mathematics Learners Book Grade 9, page 61. Charts showing lines with different gradients. |
Oral questions.
Written exercise.
Project work.
|
|
2 | 4 |
Algebra
|
Equations of Straight Lines - Zero and Undefined Gradients
Equations of Straight Lines - Equation from Two Points Equations of Straight Lines - Deriving the Equation from Two Points Equations of Straight Lines - Equation from a Point and Gradient Equations of Straight Lines - Express Equation in Form y = mx + c Equations of Straight Lines - Interpreting y = mx + c Equations of Straight Lines - Graphing Lines from Equations |
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. Top Scholar KLB Mathematics Learners Book Grade 9, page 63. Worksheets with coordinate points. Top Scholar KLB Mathematics Learners Book Grade 9, page 64. Top Scholar KLB Mathematics Learners Book Grade 9, page 65. Charts showing line equations. Top Scholar KLB Mathematics Learners Book Grade 9, page 67. Charts showing lines with different gradients. Top Scholar KLB Mathematics Learners Book Grade 9, page 68. Rulers. |
Oral questions.
Written exercise.
Group presentation.
|
|
2 | 5 |
Algebra
|
Equations of Straight Lines - x and y Intercepts
Equations of Straight Lines - Using Intercepts to Graph Lines Equations of Straight Lines - Parallel and Perpendicular Lines Equations of Straight Lines - Real Life Applications Linear Inequalities - Introduction to Inequalities Linear Inequalities - Solving Linear Inequalities (Addition and Subtraction) Linear Inequalities - Solving Linear Inequalities (Multiplication and Division) Linear Inequalities - Solving Linear Inequalities (Combined Operations) Linear Inequalities - Graphical Representation in One Unknown Linear Inequalities - Graphical Representation in Two Unknowns |
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. Top Scholar KLB Mathematics Learners Book Grade 9, page 71. 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. Top Scholar KLB Mathematics Learners Book Grade 9, page 75. Charts showing inequality symbols. Real-life examples of inequalities. Number lines. Top Scholar KLB Mathematics Learners Book Grade 9, page 76. Charts showing inequality rules. Top Scholar KLB Mathematics Learners Book Grade 9, page 77. Worksheets with inequality problems. Top Scholar KLB Mathematics Learners Book Grade 9, page 78. Top Scholar KLB Mathematics Learners Book Grade 9, page 79. |
Oral questions.
Written exercise.
Assignment.
|
Your Name Comes Here