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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 - Identifying integers
|
By the end of the
lesson, the learner
should be able to:
-Identify integers in different situations -Show interest in learning about integers |
-Identify integers by carrying out activities involving positive and negative numbers and zero. For example, climbing up stairs (positive), going down stairs (negative). -Stand at a point (the zero point) and count the number of steps moved either forward or backward. |
Where do we use integers in real life situations?
|
MENTOR Mathematics Learner's Book pg. 1
-Number lines -Number cards |
-Observation
-Oral questions
-Written assignments
|
|
1 | 2 |
Numbers
|
Integers - Representing integers on a number line
Integers - Addition of integers |
By the end of the
lesson, the learner
should be able to:
-Represent integers on a number line -Show curiosity in representing integers |
-Draw and represent integers on number lines on learning materials. -Practice representing positive and negative integers on a number line. |
How do we represent integers on a number line?
|
MENTOR Mathematics Learner's Book pg. 2-3
-Number lines -Wood ash MENTOR Mathematics Learner's Book pg. 4-5 -Red and blue counters |
-Observation
-Oral questions
-Written tests
|
|
1 | 3 |
Numbers
|
Integers - Subtraction of integers
Integers - Combined operations |
By the end of the
lesson, the learner
should be able to:
-Carry out subtraction of integers on a number line -Develop interest in solving problems involving subtraction of integers |
-Perform subtraction operations of integers on a number line. -Play creative games that involve number lines, for example jumping steps. |
How do we subtract integers on a number line?
|
MENTOR Mathematics Learner's Book pg. 5-6
-Number lines -Games MENTOR Mathematics Learner's Book pg. 7-8 -Number cards |
-Observation
-Oral questions
-Written tests
|
|
1 | 4 |
Numbers
|
Integers - Real life applications
Fractions - Combined operations (Addition and subtraction) Fractions - Combined operations (Multiplication and division) |
By the end of the
lesson, the learner
should be able to:
-Apply operations of integers in real life situations -Appreciate the use of integers in daily life |
-Discuss real-life applications of integers such as temperature, altitude, profit and loss. -Use IT or other resources to learn more on operations of integers on number lines. |
How do we apply integers in real life situations?
|
MENTOR Mathematics Learner's Book pg. 8-9
-Digital resources -Internet MENTOR Mathematics Learner's Book pg. 15 -Fraction cards -Practice cards MENTOR Mathematics Learner's Book pg. 17-18 |
-Observation
-Oral questions
-Written tests
|
|
1 | 5 |
Numbers
|
Fractions - Combined operations
Fractions - Operations in real life situations |
By the end of the
lesson, the learner
should be able to:
-Carry out combined operations on fractions -Show interest in working with fractions |
-Discuss the procedure to follow when working out combined operations on fractions. -Work out fractions involving all operations following the correct order. |
How do we solve problems involving all operations on fractions?
|
MENTOR Mathematics Learner's Book pg. 19
-Practical cards -Digital resources MENTOR Mathematics Learner's Book pg. 20-22 -Charts -Fraction boards |
-Observation
-Oral questions
-Written tests
|
|
2 | 1 |
Numbers
|
Fractions - Digital applications
Fractions - Applications in various contexts Decimals - Converting fractions to decimals |
By the end of the
lesson, the learner
should be able to:
-Use IT devices for learning more on fractions -Enjoy working with fractions using technology |
-Play games of operations on fractions using IT devices or other resources. -Solve fraction problems using digital tools. |
How can we use digital tools to learn about fractions?
|
MENTOR Mathematics Learner's Book pg. 22
-Digital devices -Internet resources -Reference materials -Picture charts MENTOR Mathematics Learner's Book pg. 35 -Multiplication tables -Place value charts |
-Observation
-Oral questions
-Practical activities
|
|
2 | 2 |
Numbers
|
Decimals - Identifying recurring decimals
Decimals - Converting recurring decimals to fractions |
By the end of the
lesson, the learner
should be able to:
-Identify recurring decimals in different situations -Appreciate patterns in recurring decimals |
-In groups, discuss and classify non-recurring and recurring decimals. -Indicate the recurring digits in decimal numbers. |
How do we identify recurring decimals?
|
MENTOR Mathematics Learner's Book pg. 36-37
-Decimal cards -Calculator MENTOR Mathematics Learner's Book pg. 37-38 -Multiplication tables |
-Observation
-Oral questions
-Written tests
|
|
2 | 3 |
Numbers
|
Decimals - Rounding off decimals
Decimals - Significant figures |
By the end of the
lesson, the learner
should be able to:
-Round off a decimal number to a required number of decimal places -Appreciate the importance of rounding decimals in daily life |
-Discuss and round off decimal numbers to a required number of decimal places. -Apply rounding rules to decimal numbers. |
Why do we need to round off decimal numbers?
|
MENTOR Mathematics Learner's Book pg. 38-39
-Decimal cards -Calculator MENTOR Mathematics Learner's Book pg. 39-40 -Place value charts -Number cards |
-Observation
-Oral questions
-Written tests
|
|
2 | 4 |
Numbers
|
Decimals - Standard form
Decimals - Combined operations on decimals Decimals - Real life applications |
By the end of the
lesson, the learner
should be able to:
-Express numbers in standard form -Show interest in different representations of numbers |
-Write numbers in standard form in learning materials such as cards or charts. -Convert between standard form and ordinary numbers. |
How do we express numbers in standard form?
|
MENTOR Mathematics Learner's Book pg. 41-42
-Flash cards -Number cards MENTOR Mathematics Learner's Book pg. 42-43 -Decimal cards -Calculator MENTOR Mathematics Learner's Book pg. 43-44 -Price lists -Measurement tools |
-Observation
-Oral questions
-Written tests
|
|
2 | 5 |
Numbers
|
Squares - Squares of numbers from tables
Squares - Squares of numbers greater than 10 |
By the end of the
lesson, the learner
should be able to:
-Work out the squares of numbers from tables -Appreciate the use of tables in mathematical computations |
-Read and write the squares of numbers from tables. -Use table of squares to find squares of numbers between 1 and 10. |
What are squares of numbers?
|
MENTOR Mathematics Learner's Book pg. 46-47
-Square tables -Square cut-outs MENTOR Mathematics Learner's Book pg. 47-48 -Calculator |
-Observation
-Oral questions
-Written tests
|
|
3 | 1 |
Numbers
|
Squares - Squares of numbers less than 1
Squares - Using calculator for squares |
By the end of the
lesson, the learner
should be able to:
-Work out squares of numbers less than 1 using tables -Develop confidence in working with decimal squares |
-Express numbers less than 1 in standard form and use table of squares. -Practice finding squares of decimal numbers. |
Where do we apply squares in real life situations?
|
MENTOR Mathematics Learner's Book pg. 48-49
-Square tables -Calculator MENTOR Mathematics Learner's Book pg. 49 -Digital devices |
-Observation
-Oral questions
-Written tests
|
|
3 | 2 |
Numbers
|
Square Roots - Square roots from tables
Square Roots - Square roots of numbers greater than 10 Square Roots - Square roots of numbers less than 1 |
By the end of the
lesson, the learner
should be able to:
-Work out the square roots of numbers from tables -Show interest in the relationship between squares and square roots |
-Read and write the square roots of numbers from tables. -Use square root tables to find square roots of numbers between 1 and 10. |
What are square roots of numbers?
|
MENTOR Mathematics Learner's Book pg. 50-51
-Square root tables -Calculator MENTOR Mathematics Learner's Book pg. 52-53 MENTOR Mathematics Learner's Book pg. 53-54 |
-Observation
-Oral questions
-Written assignments
|
|
3 | 3 |
Numbers
|
Rates - Identifying rates
Rates - Working out rates |
By the end of the
lesson, the learner
should be able to:
-Identify rates in different situations -Appreciate the concept of rates in daily life |
-Discuss the concept of rates and identify examples from daily life. -Time different activities and calculate rates. |
How do we use rates in real life situations?
|
MENTOR Mathematics Learner's Book pg. 55
-Rate cards -Stopwatch MENTOR Mathematics Learner's Book pg. 56-57 -Price lists |
-Observation
-Oral questions
-Written tests
|
|
3 | 4 |
Numbers
|
Ratio - Expressing fractions as ratios
Ratio - Comparing ratios Ratio - Dividing quantities in given ratios |
By the end of the
lesson, the learner
should be able to:
-Express fractions as ratios -Appreciate the relationship between fractions and ratios |
-Use cut outs from whole objects or substances to relate fractions to ratios. -Convert between fractions and ratios. |
How do we use ratios in daily activities?
|
MENTOR Mathematics Learner's Book pg. 58
-Circular and rectangular cut outs -Ratio cards MENTOR Mathematics Learner's Book pg. 59-60 -Cut-outs MENTOR Mathematics Learner's Book pg. 60-62 -Bottle tops -Counters |
-Observation
-Oral questions
-Written tests
|
|
3 | 5 |
Numbers
|
Ratio - Increase and decrease using ratios
Percentages - Percentage increase |
By the end of the
lesson, the learner
should be able to:
-Work out increase and decrease of quantities using ratios -Appreciate changes in quantities expressed as ratios |
-Practice increasing quantities in given ratios. -Practice decreasing quantities in given ratios. |
How do we use ratios to increase or decrease quantities?
|
MENTOR Mathematics Learner's Book pg. 62-63
-Ratio cards -Number cards MENTOR Mathematics Learner's Book pg. 64 -Charts -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
4 | 1 |
Numbers
|
Percentages - Percentage decrease
Direct proportion |
By the end of the
lesson, the learner
should be able to:
-Work out percentage decrease of given quantities -Value the use of percentages in expressing changes |
-Discuss and determine percentage decrease of different quantities. -Solve problems involving percentage decrease. |
How do we calculate percentage decrease?
|
MENTOR Mathematics Learner's Book pg. 65
-Charts -Digital resources MENTOR Mathematics Learner's Book pg. 66 -Tables |
-Observation
-Oral questions
-Written assignments
|
|
4 | 2 |
Numbers
|
Direct proportion - Working out direct proportion
Indirect proportion Indirect proportion - Working out indirect proportion |
By the end of the
lesson, the learner
should be able to:
-Work out direct proportions in real life situations -Show interest in applying direct proportion to solve problems |
-Solve problems involving direct proportion. -Apply the concept of direct proportion to real-life scenarios. |
How do we calculate quantities in direct proportion?
|
MENTOR Mathematics Learner's Book pg. 66-67
-Tables -Price lists MENTOR Mathematics Learner's Book pg. 67 -Hourglass -Charts MENTOR Mathematics Learner's Book pg. 67-68 -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
4 | 3 |
Numbers
|
Ratios and proportions - Digital applications
Ratios and proportions - Real life applications |
By the end of the
lesson, the learner
should be able to:
-Use IT devices to explore ratios and proportions -Show interest in technology for mathematical learning |
-Use IT devices or other materials to explore percentage change. -Watch videos on ratios and proportions as used in daily activities. |
How can we use technology to learn about ratios and proportions?
|
MENTOR Mathematics Learner's Book pg. 68
-Digital devices -Videos -Reference materials -Picture charts |
-Observation
-Oral questions
-Digital activities
|
|
4 | 4 |
Algebra
|
Algebraic Expressions - Factorizing algebraic expressions (1)
Algebraic Expressions - Factorizing algebraic expressions (2) |
By the end of the
lesson, the learner
should be able to:
-Identify common factors in algebraic expressions -Factorize algebraic expressions using the greatest common factor -Show interest in factorizing algebraic expressions |
-Discuss and identify the GCD of pairs of numbers -Identify common factors in algebraic expressions -Practice factorizing algebraic expressions by taking out the common factor |
How do we factorize algebraic expressions?
|
MENTOR Mathematics Learner's Book pg. 67
-Number cards -Practice cards MENTOR Mathematics Learner's Book pg. 69-70 |
-Observation
-Oral questions
-Written assignments
|
|
4 | 5 |
Algebra
|
Algebraic Expressions - Simplifying algebraic fractions (1)
Algebraic Expressions - Simplifying algebraic fractions (2) Algebraic Expressions - Evaluating algebraic expressions by substitution (1) |
By the end of the
lesson, the learner
should be able to:
-Find the LCM of denominators in algebraic fractions -Simplify algebraic fractions with different denominators -Show interest in simplifying algebraic fractions |
-Work out the LCM of denominators in algebraic fractions -Practice simplifying algebraic fractions by using the LCM of denominators -Express algebraic fractions as a single fraction |
How do we simplify algebraic fractions?
|
MENTOR Mathematics Learner's Book pg. 71-72
-Practice cards -Fraction boards MENTOR Mathematics Learner's Book pg. 73-74 -Number cards MENTOR Mathematics Learner's Book pg. 75-76 -Expression cards |
-Observation
-Oral questions
-Written assignments
|
|
5 | 1 |
Algebra
|
Algebraic Expressions - Evaluating algebraic expressions by substitution (2)
Linear Equations - Forming linear equations in two unknowns |
By the end of the
lesson, the learner
should be able to:
-Evaluate algebraic expressions with multiple variables -Apply substitution to real-life problems -Appreciate the use of algebraic expressions in real life |
-Practice substituting multiple values in algebraic expressions -Solve problems involving area, perimeter and volume using substitution -Apply algebraic expressions to real-life situations |
How do we use algebraic expressions in real life situations?
|
MENTOR Mathematics Learner's Book pg. 77-78
-Expression cards -Digital resources MENTOR Mathematics Learner's Book pg. 79-80 -Beam balance -Objects of different masses |
-Observation
-Oral questions
-Written tests
|
|
5 | 2 |
Algebra
|
Linear Equations - Substitution method introduction
Linear Equations - Solving linear equations by substitution |
By the end of the
lesson, the learner
should be able to:
-Express variables in terms of other variables in linear equations -Prepare linear equations for solution by substitution -Develop interest in solving linear equations |
-Discuss and express one variable in terms of the other in linear equations -Practice making one variable the subject of a formula -Prepare different linear equations for solution by substitution |
How do we solve linear equations in two unknowns by substitution?
|
MENTOR Mathematics Learner's Book pg. 81
-Number cards -Linear equation cards MENTOR Mathematics Learner's Book pg. 82-83 -Flash cards -Practice cards |
-Observation
-Oral questions
-Written tests
|
|
5 | 3 |
Algebra
|
Linear Equations - Elimination method introduction
Linear Equations - Solving linear equations by elimination Linear Equations - Real life applications |
By the end of the
lesson, the learner
should be able to:
-Set up linear equations for solution by elimination -Prepare linear equations by multiplying to get equal coefficients -Value the elimination method in solving equations |
-Discuss the concept of the elimination method -Practice multiplying equations by suitable numbers to get equal coefficients -Set up different linear equations for solution by elimination |
How do we solve linear equations by elimination?
|
MENTOR Mathematics Learner's Book pg. 84
-Flash cards -Linear equation cards MENTOR Mathematics Learner's Book pg. 85-87 -Practice cards -Digital resources MENTOR Mathematics Learner's Book pg. 87 -Digital devices -Videos |
-Observation
-Oral questions
-Written tests
|
|
5 | 4 |
Measurements
|
Circles - Circumference of a circle
Circles - Circumference of a circle in real life |
By the end of the
lesson, the learner
should be able to:
-Work out the circumference of a circle -Show interest in finding the circumference of circular objects |
-Fix wooden pegs at each end of a rope -Fix one peg at a point on the ground and use the other end to draw a circle -Lay a string round the circle drawn and measure the length of the string used -Discuss and work out the circumference of a circle using the formula C = πd |
How do we determine the circumference of a circle?
|
MENTOR Mathematics Learner's Book pg. 88
-Rope -Wooden pegs -String -Metre ruler MENTOR Mathematics Learner's Book pg. 89 -Circular objects -Ruler |
-Observation
-Oral questions
-Written assignments
|
|
5 | 5 |
Measurements
|
Circles - Length of an arc
Circles - Length of an arc (continued) Circles - Perimeter of a sector |
By the end of the
lesson, the learner
should be able to:
-Work out the length of an arc of a circle -Show curiosity in relating arc length to the circumference |
-Draw and cut out a circle of radius 3.5 cm -Work out the circumference of the circular cut out -Fold the circular cut out to form two equal parts and cut along the fold line -Work out the length of the arc of the semicircle -Relate the angle subtended by the arc to the circumference |
How do we find the length of an arc of a circle?
|
MENTOR Mathematics Learner's Book pg. 90-91
-Plain paper -Pair of scissors -Ruler MENTOR Mathematics Learner's Book pg. 92-93 MENTOR Mathematics Learner's Book pg. 94-95 |
-Observation
-Oral questions
-Written assignments
|
|
6 | 1 |
Measurements
|
Circles - Perimeter of a sector (continued)
Area - Area of a circle |
By the end of the
lesson, the learner
should be able to:
-Solve problems involving the perimeter of a sector -Appreciate the use of sectors in real life situations |
-Solve various problems involving sectors of different angles -Apply the formula for perimeter of a sector in real-life contexts -Discuss real-life examples of sectors |
How do we apply knowledge of sectors to solve real-life problems?
|
MENTOR Mathematics Learner's Book pg. 96-98
-Calculators -Charts -Models of sectors MENTOR Mathematics Learner's Book pg. 99 -Peg -String -Tape measure -Wood ash |
-Observation
-Oral questions
-Written tests
|
|
6 | 2 |
Measurements
|
Area - Area of a circle in real life
Area - Area of a sector |
By the end of the
lesson, the learner
should be able to:
-Calculate the area of a circle in real life situations -Value the use of area of a circle in problem solving |
-Solve real-life problems involving area of circles -Calculate areas of circular objects in the environment -Convert between different units when calculating areas |
How do we apply the area of a circle in real life situations?
|
MENTOR Mathematics Learner's Book pg. 100-101
-Circular objects -Calculator -Measuring tools MENTOR Mathematics Learner's Book pg. 102-103 -Ruler -Plain paper -Pair of compasses |
-Observation
-Oral questions
-Written tests
|
|
6 | 3 |
Measurements
|
Area - Area of a sector (continued)
Area - Surface area of cubes Area - Surface area of cuboids |
By the end of the
lesson, the learner
should be able to:
-Solve problems involving area of sectors -Show interest in applying sector area in different contexts |
-Apply the formula for area of a sector to solve various problems -Work out areas of sectors with different angles -Relate the angle subtended by the sector to the area of the whole circle |
How do we apply the area of a sector to solve problems?
|
MENTOR Mathematics Learner's Book pg. 104-105
-Calculator -Digital resources -Cut-outs of sectors MENTOR Mathematics Learner's Book pg. 106-107 -Closed cube -Ruler -Pair of scissors MENTOR Mathematics Learner's Book pg. 108-109 -Closed cuboid |
-Observation
-Oral questions
-Written tests
|
|
6 | 4 |
Measurements
|
Area - Surface area of cylinders
Area - Surface area of cylinders (continued) |
By the end of the
lesson, the learner
should be able to:
-Work out the surface area of a cylinder -Show curiosity in exploring the surface of a cylinder |
-Discuss the properties of a cylinder -Cut a cylinder to separate the two circular parts and the curved surface -Observe that the curved surface opens up into a rectangle -Measure the dimensions of the rectangle and the circles -Calculate the areas of the circular top, circular bottom and the curved surface -Find the sum of all the areas |
How do we determine the surface area of a cylinder?
|
MENTOR Mathematics Learner's Book pg. 110-111
-Closed cylinder -Pair of scissors -Ruler MENTOR Mathematics Learner's Book pg. 112-113 -Cylindrical objects -Calculator -Measuring tools |
-Observation
-Oral questions
-Written assignments
|
|
6 | 5 |
Measurements
|
Area - Surface area of triangular prisms
Area - Area of irregular shapes |
By the end of the
lesson, the learner
should be able to:
-Determine the surface area of a triangular prism -Show interest in exploring surface areas of prisms |
-Examine a triangular prism and identify its faces -Cut the triangular prism along its edges to separate the faces -Measure the sides of the faces and calculate their areas -Find the sum of the areas of all five faces -Derive the formula for surface area of a triangular prism |
How do we find the surface area of a triangular prism?
|
MENTOR Mathematics Learner's Book pg. 114-115
-Triangular prism -Ruler -Pair of scissors MENTOR Mathematics Learner's Book pg. 116-118 -Square grid -Leaf |
-Observation
-Oral questions
-Written assignments
|
|
7 | 1 |
Measurements
|
Money - Interest and principal
Money - Simple interest Money - Compound interest |
By the end of the
lesson, the learner
should be able to:
-Identify interest and principal in real life situations -Value the importance of understanding financial terms |
-Visit or invite resource persons from financial institutions -Gather information about deposits (principal) and interest -Discuss the terms principal and interest -Analyze examples showing how interest is calculated on deposits |
What is interest in money?
|
MENTOR Mathematics Learner's Book pg. 119-120
-Resource persons -Financial documents -Charts MENTOR Mathematics Learner's Book pg. 121-122 -Calculator -Digital devices MENTOR Mathematics Learner's Book pg. 123-125 |
-Observation
-Oral questions
-Written assignments
|
|
7 | 2 |
Measurements
|
Money - Appreciation
Money - Depreciation |
By the end of the
lesson, the learner
should be able to:
-Work out appreciation per annum step by step -Value the concept of appreciation in investments |
-Discuss the concept of appreciation as increase in value over time -Calculate appreciation step by step for assets that increase in value -Use formula for appreciation based on percentage increase -Identify assets that typically appreciate in value |
How do we calculate appreciation over time?
|
MENTOR Mathematics Learner's Book pg. 126-127
-Calculator -Digital devices -Charts MENTOR Mathematics Learner's Book pg. 128-129 |
-Observation
-Oral questions
-Written tests
|
|
7 | 3 |
Measurements
|
Money - Hire purchase
Money - Calculating hire purchase price Money - Calculating deposits and installments |
By the end of the
lesson, the learner
should be able to:
-Explain the concept of hire purchase -Compare different payment options -Value informed financial decision making |
-Visit a furniture shop or examine a poster showing hire purchase terms -Discuss the terms of payment offered by the shop -Compare cash price versus hire purchase price -Analyze which payment option is more economical |
How do we pay for goods on hire purchase?
|
MENTOR Mathematics Learner's Book pg. 130-131
-Posters showing hire purchase terms -Digital devices -Calculator MENTOR Mathematics Learner's Book pg. 132-134 -Price lists -Charts MENTOR Mathematics Learner's Book pg. 135-137 |
-Observation
-Oral questions
-Written tests
|
|
7 | 4 |
Measurements
|
Money - Online financial tools
Money - Financial responsibility |
By the end of the
lesson, the learner
should be able to:
-Use IT and other resources to carry out operations related to money -Appreciate the role of technology in financial calculations |
-Use IT to access online shopping platforms and identify terms of sale -Explore online calculators for interest, depreciation, and hire purchase -Compare different financial options using digital tools -Discuss the role of technology in financial management |
How does technology help in financial calculations?
|
MENTOR Mathematics Learner's Book pg. 138
-Digital devices -Internet access -Online calculators -Budget templates -Case studies -Charts |
-Observation
-Oral questions
-Digital activities
|
|
7 | 5 |
Geometry
|
4.1 Geometrical Constructions - Constructing parallel and perpendicular lines (2)
|
By the end of the
lesson, the learner
should be able to:
-Construct parallel lines using a ruler and pair of compasses -Appreciate the importance of accurate construction of geometric shapes |
-Practice constructing parallel lines using a ruler and pair of compasses -Share drawings with other learners in class |
How do we construct polygons?
|
-MENTOR mathematics Learner's Book Grade 8 pg. 132
-Pair of compasses -Ruler MENTOR mathematics Learner's Book Grade 8 pg. 133 -Set square |
-Observation
-Written assignments
|
|
8 | 1 |
Geometry
|
4.1 Geometrical Constructions - Constructing perpendicular lines (2)
|
By the end of the
lesson, the learner
should be able to:
-Construct a perpendicular bisector to a given line -Show interest in geometric constructions |
-Practice constructing perpendicular bisectors using a ruler and pair of compasses -Share drawings with other learners in class |
Where do we use polygons in real life situations?
|
MENTOR mathematics Learner's Book Grade 8 pg. 135
-Pair of compasses -Ruler MENTOR mathematics Learner's Book Grade 8 pg. 136 MENTOR mathematics Learner's Book Grade 8 pg. 137 |
-Observation
-Written assignments
|
|
8 | 2 |
Geometry
|
4.1 Geometrical Constructions - Dividing a line proportionally (1)
4.1 Geometrical Constructions - Angle properties of polygons (1) |
By the end of the
lesson, the learner
should be able to:
-Divide a line proportionally -Appreciate the importance of accurate construction of geometric shapes |
-Practice dividing lines proportionally using a ruler, set square and pair of compasses -Share drawings with other learners in class |
How do we construct polygons?
|
MENTOR mathematics Learner's Book Grade 8 pg. 139
-Pair of compasses -Ruler -Set square MENTOR mathematics Learner's Book Grade 8 pg. 140 -Cut-out polygons |
-Observation
-Written assignments
|
|
8 | 3 |
Geometry
|
4.1 Geometrical Constructions - Constructing regular polygons (1)
|
By the end of the
lesson, the learner
should be able to:
-Construct a regular pentagon -Show interest in geometric constructions |
-Construct regular pentagons using pair of compasses, rulers, protractors -Share work with other groups in class |
How do we construct polygons?
|
MENTOR mathematics Learner's Book Grade 8 pg. 144
-Pair of compasses -Ruler -Protractor MENTOR mathematics Learner's Book Grade 8 pg. 146 |
-Observation
-Written assignments
|
|
8 | 4 |
Geometry
|
4.1 Geometrical Constructions - Constructing irregular polygons (1)
|
By the end of the
lesson, the learner
should be able to:
-Construct an irregular triangle -Appreciate the importance of accuracy in construction |
-Construct triangles given different measurements (sides and angles) -Share work with other learners in class |
Where do we use polygons in real life situations?
|
MENTOR mathematics Learner's Book Grade 8 pg. 149
-Pair of compasses -Ruler -Protractor MENTOR mathematics Learner's Book Grade 8 pg. 152 -KLB Mathematics Learner's Book Grade 8 pg. 158 |
-Observation
-Written assignments
|
|
8 | 5 |
Geometry
|
4.1 Geometrical Constructions - Constructing irregular polygons (1)
4.1 Geometrical Constructions - Constructing circles related to triangles (1) |
By the end of the
lesson, the learner
should be able to:
-Construct an irregular hexagon -Appreciate the importance of accuracy in construction |
-Construct irregular hexagons given different measurements -Share work with other groups in class |
How do we construct polygons?
|
MENTOR mathematics Learner's Book Grade 8 pg. 161
-Pair of compasses -Ruler -Protractor MENTOR mathematics Learner's Book Grade 8 pg. 163 |
-Observation
-Written assignments
|
|
9 | 1 |
Geometry
|
4.1 Geometrical Constructions - Constructing circles related to triangles (1)
4.2 Coordinates and Graphs - The Cartesian plane (2) 4.2 Coordinates and Graphs - The Cartesian plane (2) |
By the end of the
lesson, the learner
should be able to:
-Construct circles touching the sides of the triangle -Show interest in geometric constructions |
-Practice constructing circles touching sides of given triangles -Share drawings with other groups in class |
Where do we use polygons in real life situations?
|
MENTOR mathematics Learner's Book Grade 8 pg. 164
-Pair of compasses -Ruler MENTOR mathematics Learner's Book Grade 8 pg. 167 -Graph paper MENTOR mathematics Learner's Book Grade 8 pg. 171 |
-Observation
-Written assignments
|
|
9 | 2 |
Geometry
|
4.2 Coordinates and Graphs - Table of values for linear equations (2)
|
By the end of the
lesson, the learner
should be able to:
-Generate a table of values for a linear equation -Show interest in plotting coordinates |
-Discuss and make an appropriate table of values for a given linear equation -Generate values for linear equations |
Where do we use linear graphs in real life?
|
MENTOR mathematics Learner's Book Grade 8 pg. 174
-Graph paper MENTOR mathematics Learner's Book Grade 8 pg. 178 |
-Observation
-Written assignments
|
|
9 |
Midterm |
||||||||
10 | 1 |
Geometry
|
4.2 Coordinates and Graphs - Linear graphs (2)
|
By the end of the
lesson, the learner
should be able to:
-Draw a linear graph from table of values -Appreciate the use of graphs in real life |
-Make an appropriate table of values for a given linear equation and draw the linear graphs -Use IT graphing tools to create linear graphs |
Where do we use linear graphs in real life?
|
MENTOR mathematics Learner's Book Grade 8 pg. 180
-Graph paper -Ruler MENTOR mathematics Learner's Book Grade 8 pg. 183 |
-Observation
-Written assignments
|
|
10 | 2 |
Geometry
|
4.2 Coordinates and Graphs - Graphical solution of simultaneous linear equations (2)
4.3 Scale Drawing - Representing length to a given scale (2) |
By the end of the
lesson, the learner
should be able to:
-Solve simultaneous linear equations graphically -Appreciate the use of graphs in real life |
-Generate the values in a table of the simultaneous linear equations and draw the graphs -Read the point of intersection as solution for the equations |
Where do we use linear graphs in real life?
|
MENTOR mathematics Learner's Book Grade 8 pg. 185
-Graph paper -Ruler MENTOR mathematics Learner's Book Grade 8 pg. 186 MENTOR mathematics Learner's Book Grade 8 pg. 189 |
-Observation
-Written assignments
|
|
10 | 3 |
Geometry
|
4.3 Scale Drawing - Representing length to a given scale (2)
4.3 Scale Drawing - Converting between actual length and scale length (2) |
By the end of the
lesson, the learner
should be able to:
-Represent length to a given scale -Appreciate the use of scale drawing in daily life |
-Measure and represent length of different objects from immediate environment in work book -Share work with other learners in class |
How do we determine scales in real life?
|
MENTOR mathematics Learner's Book Grade 8 pg. 191
-Ruler MENTOR mathematics Learner's Book Grade 8 pg. 193 |
-Observation
-Written assignments
|
|
10 | 4 |
Geometry
|
4.3 Scale Drawing - Converting between actual length and scale length (2)
4.3 Scale Drawing - Linear scales in statement form (2) |
By the end of the
lesson, the learner
should be able to:
-Convert scale length to actual length -Enjoy working with measurements |
-Practice converting scale length to actual length -Share work with other learners in class |
Where do we use scale drawing in real life situations?
|
MENTOR mathematics Learner's Book Grade 8 pg. 194
-Ruler MENTOR mathematics Learner's Book Grade 8 pg. 195 |
-Observation
-Written assignments
|
|
10 | 5 |
Geometry
|
4.3 Scale Drawing - Linear scales in statement form (2)
4.3 Scale Drawing - Linear scales in ratio form (2) 4.3 Scale Drawing - Linear scales in ratio form (2) |
By the end of the
lesson, the learner
should be able to:
-Write linear scales in statement form -Appreciate the use of scale drawing in daily life |
-Discuss and write given linear scales in statement form -Share findings with other learners in class |
How do we determine scales in real life?
|
MENTOR mathematics Learner's Book Grade 8 pg. 196
-Ruler MENTOR mathematics Learner's Book Grade 8 pg. 198 MENTOR mathematics Learner's Book Grade 8 pg. 199 |
-Observation
-Written assignments
|
|
11 | 1 |
Geometry
|
4.3 Scale Drawing - Converting between statement form and ratio form (1)
4.3 Scale Drawing - Making scale drawings (1) |
By the end of the
lesson, the learner
should be able to:
-Convert linear scale from statement form to ratio form -Convert linear scale from ratio form to statement form -Appreciate the use of scale drawing in maps |
-Discuss and carry out conversions of scales from one form to another -Share findings with other learners in class |
How do we determine scales in real life?
|
MENTOR mathematics Learner's Book Grade 8 pg. 200
-Ruler MENTOR mathematics Learner's Book Grade 8 pg. 202 |
-Observation
-Written assignments
|
|
11 | 2 |
Geometry
|
4.4 Common Solids - Identifying common solids (3)
|
By the end of the
lesson, the learner
should be able to:
-Identify common solids from the environment -Appreciate the use of common solids in real life |
-Identify and collect common solids such as cubes, cuboids, cylinders, pyramids and cones from the immediate environment -Share findings with other learners in class |
What are common solids?
|
MENTOR mathematics Learner's Book Grade 8 pg. 209
-Various solid objects MENTOR mathematics Learner's Book Grade 8 pg. 210 |
-Observation
|
|
11 | 3 |
Geometry
|
4.4 Common Solids - Identifying common solids (3)
4.4 Common Solids - Sketching nets of common solids (3) 4.4 Common Solids - Sketching nets of common solids (3) |
By the end of the
lesson, the learner
should be able to:
-Identify common solids from the environment -Appreciate the use of common solids in real life |
-Identify and collect common solids such as cubes, cuboids, cylinders, pyramids and cones from the immediate environment -Share findings with other learners in class |
What are common solids?
|
MENTOR mathematics Learner's Book Grade 8 pg. 211
-Various solid objects MENTOR mathematics Learner's Book Grade 8 pg. 212 -Various hollow solids |
-Observation
|
|
11 | 4 |
Geometry
|
4.4 Common Solids - Sketching nets of common solids (3)
|
By the end of the
lesson, the learner
should be able to:
-Sketch nets of pyramids -Enjoy working with geometric shapes |
-Discuss, open and sketch the nets of hollow pyramids -Share sketches with other learners in class |
What are common solids?
|
v Learner's Book Grade 8 pg. 214
-Various hollow solids MENTOR mathematics Learner's Book Grade 8 pg. 215 |
-Observation
-Written assignments
|
|
11 | 5 |
Geometry
|
4.4 Common Solids - Surface area of solids from nets (4)
|
By the end of the
lesson, the learner
should be able to:
-Work out surface area of cubes from nets -Enjoy working with geometric shapes |
-Work out the surface area of cubes from nets -Share findings with other learners in class |
How do we use common solids in real life?
|
MENTOR mathematics Learner's Book Grade 8 pg. 216
-Nets of cubes MENTOR mathematics Learner's Book Grade 8 pg. 217 -Nets of cuboids MENTOR mathematics Learner's Book Grade 8 pg. 219 -Nets of cylinders |
-Observation
-Written assignments
|
|
12 | 1 |
Geometry
|
4.4 Common Solids - Surface area of solids from nets (4)
4.4 Common Solids - Distance between points on a solid (2) |
By the end of the
lesson, the learner
should be able to:
-Work out surface area of pyramids from nets -Enjoy working with geometric shapes |
-Work out the surface area of pyramids from nets -Share findings with other learners in class |
What are common solids?
|
MENTOR mathematics Learner's Book Grade 8 pg. 221
-Nets of pyramids MENTOR mathematics Learner's Book Grade 8 pg. 224 -Various solid objects |
-Observation
-Written assignments
|
|
12 | 2 |
Geometry
|
4.4 Common Solids - Distance between points on a solid (2)
4.4 Common Solids - Making models of solids (3) |
By the end of the
lesson, the learner
should be able to:
-Determine the distance between two points on the surface of a solid -Show interest in properties of solids |
-Discuss and practice measuring the distance between any two points on the surface of the solids -Share findings with other learners in class |
How do we use common solids in real life?
|
MENTOR mathematics Learner's Book Grade 8 pg. 225
-Various solid objects MENTOR mathematics Learner's Book Grade 8 pg. 226 -Stiff paper -Scissors -Glue |
-Observation
-Written assignments
|
|
12 | 3 |
Geometry
|
4.4 Common Solids - Making models of solids (3)
|
By the end of the
lesson, the learner
should be able to:
-Make models of cuboids -Enjoy working with geometric shapes |
-Make models of hollow and compact cuboids using locally available materials -Share models with other learners in class |
What are common solids?
|
MENTOR mathematics Learner's Book Grade 8 pg. 227
-Stiff paper -Scissors -Glue MENTOR mathematics Learner's Book Grade 8 pg. 228 MENTOR mathematics Learner's Book Grade 8 pg. 229 |
-Observation
|
|
12 | 4 |
Data Handling and Probability
|
5.1 Data Presentation and Interpretation - Drawing bar graphs (2)
|
By the end of the
lesson, the learner
should be able to:
-Draw bar graphs of data -Appreciate the use of bar graphs in real life situations |
-Collect data from their own experiences, e.g., shoe sizes or heights -Choose a suitable scale to represent the information on a bar graph -Share work with other learners in class |
What are the different ways of representing data?
|
MENTOR mathematics Learner's Book Grade 8 pg. 233
-Graph paper -Ruler MENTOR mathematics Learner's Book Grade 8 pg. 235 |
-Observation
-Written assignments
|
|
12 | 5 |
Data Handling and Probability
|
5.1 Data Presentation and Interpretation - Interpreting bar graphs (1)
5.1 Data Presentation and Interpretation - Drawing line graphs (2) |
By the end of the
lesson, the learner
should be able to:
-Interpret bar graphs of data -Show interest in analyzing data |
-Study given bar graphs -Interpret data from bar graphs by answering questions -Share findings with other learners in class |
What are the different ways of representing data?
|
MENTOR mathematics Learner's Book Grade 8 pg. 236
-Bar graphs MENTOR mathematics Learner's Book Grade 8 pg. 238 -Graph paper -Ruler |
-Observation
-Written assignments
|
|
13 | 1 |
Data Handling and Probability
|
5.1 Data Presentation and Interpretation - Drawing line graphs (2)
5.1 Data Presentation and Interpretation - Interpreting line graphs (1) 5.1 Data Presentation and Interpretation - Mode of discrete data (1) |
By the end of the
lesson, the learner
should be able to:
-Draw line graphs of given data -Show interest in representing data using line graphs |
-Choose a suitable scale for presenting data -Make tables of values -Plot points on the graph -Join the points to form a line graph -Share work with other learners in class |
What are the different ways of representing data?
|
MENTOR mathematics Learner's Book Grade 8 pg. 240
-Graph paper -Ruler MENTOR mathematics Learner's Book Grade 8 pg. 241 -Line graphs MENTOR mathematics Learner's Book Grade 8 pg. 243 -Digital devices |
-Observation
-Written assignments
|
|
13 | 2 |
Data Handling and Probability
|
5.1 Data Presentation and Interpretation - Mean of discrete data (2)
|
By the end of the
lesson, the learner
should be able to:
-Calculate the mean of a set of discrete data -Value the use of mean in summarizing data |
-Measure heights of group members using a tape measure -Record findings in a table -Add the heights of group members -Divide the total height by the number of learners -Share work with other learners in class |
How do we determine the mean of data?
|
MENTOR mathematics Learner's Book Grade 8 pg. 246
-Tape measure MENTOR mathematics Learner's Book Grade 8 pg. 248 -Calculator |
-Observation
-Written assignments
|
|
13 | 3 |
Data Handling and Probability
|
5.1 Data Presentation and Interpretation - Median of discrete data (1)
5.2 Probability - Events involving chance (1) 5.2 Probability - Chance experiments (2) |
By the end of the
lesson, the learner
should be able to:
-Determine the median of a set of discrete data -Show interest in analyzing data |
-Make number cards with different numbers -Arrange the numbers in ascending or descending order -Identify the middle number -Search for the meaning of median using digital devices or relevant print resources -Share findings with other learners in class |
How do we determine the mean of data?
|
MENTOR mathematics Learner's Book Grade 8 pg. 249
-Number cards -Digital devices MENTOR mathematics Learner's Book Grade 8 pg. 256 MENTOR mathematics Learner's Book Grade 8 pg. 258 -Coins |
-Observation
-Oral questions
|
|
13 | 4 |
Data Handling and Probability
|
5.2 Probability - Chance experiments (2)
5.2 Probability - Experimental probability outcomes (1) |
By the end of the
lesson, the learner
should be able to:
-Perform chance experiments -Value the use of probability in decision making |
-Roll a die 10 times -Record the number that appears on the top face of the die -Put marbles of different colors in a bag and pick randomly -Share findings with other learners in class |
Why is probability important in real life situations?
|
MENTOR mathematics Learner's Book Grade 8 pg. 259
-Dice -Marbles of different colors MENTOR mathematics Learner's Book Grade 8 pg. 260 |
-Observation
-Oral questions
|
|
13 | 5 |
Data Handling and Probability
|
5.2 Probability - Probability outcomes in fractions (1)
5.2 Probability - Probability outcomes in decimals or percentages (2) 5.2 Probability - Probability outcomes in decimals or percentages (2) 5.2 Probability - Probability outcomes in decimals or percentages (2) |
By the end of the
lesson, the learner
should be able to:
-Express the probability outcomes in fractions -Value the concept of probability in analyzing events |
-Roll a die multiple times -Record the number that appears on the top face of the die -Determine the experimental probability of getting specific numbers -Express outcomes as fractions -Share findings with other learners in class |
Why is probability important in real life situations?
|
MENTOR mathematics Learner's Book Grade 8 pg. 262
-Dice MENTOR mathematics Learner's Book Grade 8 pg. 263 -Coins MENTOR mathematics Learner's Book Grade 8 pg. 264 -Marbles of different colors |
-Observation
-Written assignments
|
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