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WK | LSN | STRAND | SUB-STRAND | LESSON LEARNING OUTCOMES | LEARNING EXPERIENCES | KEY INQUIRY QUESTIONS | LEARNING RESOURCES | ASSESSMENT METHODS | REFLECTION |
---|---|---|---|---|---|---|---|---|---|
2 | 1 |
Measurements
|
Money - Working out appreciation
|
By the end of the
lesson, the learner
should be able to:
-Work out appreciation of value -Apply appreciation calculations to assets -Show interest in value appreciation |
-Research meaning of appreciation -List items that appreciate in value -Calculate value after appreciation -Discuss items worth investing in |
How do we calculate appreciation of value?
|
-KLB Grade 8 Mathematics pg. 96 -Calculator -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
2 | 2 |
Measurements
|
Money - Working out depreciation
|
By the end of the
lesson, the learner
should be able to:
-Work out depreciation of value -Apply depreciation calculations to assets -Understand depreciation in financial planning |
-Research meaning of depreciation -List items that depreciate in value -Calculate value after depreciation -Discuss impact of depreciation on investments |
How do we calculate depreciation of value?
|
-KLB Grade 8 Mathematics pg. 97 -Calculator -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
2 | 3 |
Measurements
|
Money - Working out hire purchase
|
By the end of the
lesson, the learner
should be able to:
-Work out hire purchase costs -Compare cash price and hire purchase price -Make informed financial decisions |
-Visit shops with hire purchase options or use digital resources -Gather information on deposit, cash price, and installments -Calculate total hire purchase cost -Compare with cash price and determine the extra cost |
How do we pay for goods on hire purchase?
|
-KLB Grade 8 Mathematics pg. 98 -Calculator -Brochures from shops -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
2 | 4 |
Geometry
|
Geometrical Constructions - Construction of parallel lines
|
By the end of the
lesson, the learner
should be able to:
-Construct parallel lines using a pair of compasses -Apply parallel line construction in real-life situations -Show interest in constructing parallel lines |
-Draw line AB and point C above the line -With C as center and radius length AB, draw an arc above line AB -With B as center and radius length AC, draw an arc to cut the first arc at D -Join C to D to form a line parallel to AB |
How do we construct polygons?
|
-KLB Grade 8 Mathematics pg. 100 -Pair of compasses -Ruler -Drawing paper |
-Observation
-Oral questions
-Written assignments
|
|
2 | 5 |
Geometry
|
Geometrical Constructions - Construction of parallel lines using a set square
Geometrical Constructions - Construction of perpendicular lines from a point |
By the end of the
lesson, the learner
should be able to:
-Construct parallel lines using a set square and ruler -Apply construction in real-life situations -Value the importance of parallel lines |
-Draw line ST and point P above the line -Place one of the shorter edges of a set square along ST -Put a ruler along the other edge of the set square to touch P -Slide the set square along the ruler towards P -Draw a straight line along the edge to create a parallel line |
Where do we use polygons in real life situations?
|
-KLB Grade 8 Mathematics pg. 103
-Set square -Ruler -Drawing paper -KLB Grade 8 Mathematics pg. 104 -Pair of compasses |
-Observation
-Oral questions
-Written tests
|
|
3 | 1 |
Geometry
|
Geometrical Constructions - Construction of perpendicular lines through a point
|
By the end of the
lesson, the learner
should be able to:
-Construct perpendicular lines through a point on a given line -Apply perpendicular construction in solving problems -Value the use of perpendicular lines |
-Draw line EF and point G on the line -Using G as center and suitable radius, draw two arcs to cut EF at A and B -With A and B as centers and using the same radius, construct two pairs of intersecting arcs on either side of EF -Join C to D to form a perpendicular line through G |
What is the relationship between perpendicular lines?
|
-KLB Grade 8 Mathematics pg. 105 -Pair of compasses -Ruler -Drawing paper |
-Observation
-Oral questions
-Written tests
|
|
3 | 2 |
Geometry
|
Geometrical Constructions - Dividing a line proportionally
|
By the end of the
lesson, the learner
should be able to:
-Divide a line proportionally -Apply proportional division in solving problems -Show interest in proportional division |
-Draw lines AB and AC of convenient lengths -Mark five equal intervals from A along AC -Join the last point to B -Draw lines parallel to this line through the other points -Mark the points where these parallel lines cut AB |
How do we divide a line proportionally?
|
-KLB Grade 8 Mathematics pg. 106 -Pair of compasses -Ruler -Set square |
-Observation
-Oral questions
-Written assignments
|
|
3 | 3 |
Geometry
|
Geometrical Constructions - Identifying angle properties of polygons
|
By the end of the
lesson, the learner
should be able to:
-Identify angle properties of polygons -Calculate interior and exterior angles -Show interest in polygon properties |
-Discuss the relationship between the sum of interior angles and number of sides -Fill in a table showing the sum of interior angles for different polygons -Relate the number of right angles to the number of sides -Calculate individual angles in regular polygons |
What are the properties of different polygons?
|
-KLB Grade 8 Mathematics pg. 108 -Polygon models -Protractor -Calculator |
-Observation
-Oral questions
-Written tests
|
|
3 | 4 |
Geometry
|
Geometrical Constructions - Construction of a regular triangle
|
By the end of the
lesson, the learner
should be able to:
-Construct a regular triangle -Apply triangle construction in real-life situations -Value the use of regular triangles |
-Construct line PQ of required length -Using P and Q as centers and radius equal to side length, construct two arcs intersecting at R -Join P to R and Q to R -Measure the angles to confirm they are all 60° |
How do we construct regular polygons?
|
-KLB Grade 8 Mathematics pg. 112 -Pair of compasses -Ruler -Protractor |
-Observation
-Oral questions
-Written assignments
|
|
3 | 5 |
Geometry
|
Geometrical Constructions - Construction of a regular quadrilateral
|
By the end of the
lesson, the learner
should be able to:
-Construct a regular quadrilateral (square) -Apply square construction in real-life situations -Show interest in regular quadrilaterals |
-Draw line AB of required length -Construct perpendicular lines at A and B -With A as center and radius equal to side length, mark point D on the perpendicular -With B as center and radius equal to side length, mark point C on the perpendicular -Join D to C to complete the square |
What are the applications of regular polygons?
|
-KLB Grade 8 Mathematics pg. 113 -Pair of compasses -Ruler -Set square |
-Observation
-Oral questions
-Written tests
|
|
4 | 1 |
Geometry
|
Geometrical Constructions - Construction of a regular pentagon
|
By the end of the
lesson, the learner
should be able to:
-Calculate interior angles of a regular pentagon -Construct a regular pentagon -Value the use of regular pentagons |
-Find the size of each interior angle of the pentagon (108°) -Draw line AB of required length -Using B as center and radius equal to side length, locate C such that angle ABC is 108° -Continue the process to locate D and E -Join A to E to complete the pentagon |
How are interior angles related to the number of sides?
|
-KLB Grade 8 Mathematics pg. 114 -Pair of compasses -Ruler -Protractor |
-Observation
-Oral questions
-Written assignments
|
|
4 | 2 |
Geometry
|
Geometrical Constructions - Construction of a regular hexagon
|
By the end of the
lesson, the learner
should be able to:
-Calculate interior angles of a regular hexagon -Construct a regular hexagon -Show interest in regular hexagons |
-Find the size of each interior angle of the hexagon (120°) -Draw line PQ of required length -At Q, draw the interior angle PQR with QR equal to side length -Continue the process to locate S, T, and U -Join U to P to complete the hexagon |
What are the properties of a regular hexagon?
|
-KLB Grade 8 Mathematics pg. 115 -Pair of compasses -Ruler -Protractor |
-Observation
-Oral questions
-Written tests
|
|
4 | 3 |
Geometry
|
Geometrical Constructions - Construction of irregular polygons
|
By the end of the
lesson, the learner
should be able to:
-Construct irregular polygons -Apply irregular polygon construction in real-life situations -Value the use of irregular polygons |
-Given the measurements of sides and angles, draw the first side -Use measurements to construct each subsequent side and angle -Complete the polygon by joining the last vertex to the first -Verify measurements of all sides and angles |
How do we construct irregular polygons?
|
-KLB Grade 8 Mathematics pg. 117 -Pair of compasses -Ruler -Protractor |
-Observation
-Oral questions
-Written assignments
|
|
4 | 4 |
Geometry
|
Geometrical Constructions - Construction of circles passing through vertices
|
By the end of the
lesson, the learner
should be able to:
-Construct circles passing through the vertices of a triangle -Find the center and radius of the circle -Show interest in circumcircles |
-Draw the triangle ABC -Construct perpendicular bisectors of AB and AC -Determine the point of intersection O (circumcenter) -With O as center and radius OA, draw a circle -Verify that the circle passes through all vertices |
What is the relationship between a triangle and its circumcircle?
|
-KLB Grade 8 Mathematics pg. 123 -Pair of compasses -Ruler -Protractor |
-Observation
-Oral questions
-Written tests
|
|
4 | 5 |
Geometry
|
Coordinates and Graphs - Drawing and labeling a Cartesian plane
Coordinates and Graphs - Identifying points on the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
-Draw a labelled Cartesian plane -Identify different parts of the Cartesian plane -Show interest in Cartesian planes |
-Draw a horizontal x-axis and vertical y-axis -Mark the origin where the axes intersect -Use a scale to mark positive and negative values on both axes -Label the axes and quadrants |
How do we plot coordinates on a Cartesian plane?
|
-KLB Grade 8 Mathematics pg. 128
-Graph paper -Ruler -Digital resources -KLB Grade 8 Mathematics pg. 129 -Cartesian plane charts |
-Observation
-Oral questions
-Written assignments
|
|
5 | 1 |
Geometry
|
Coordinates and Graphs - Plotting points on the Cartesian plane
|
By the end of the
lesson, the learner
should be able to:
-Plot points on the Cartesian plane -Apply coordinate plotting in real-life situations -Show interest in coordinate systems |
-Draw a Cartesian plane with appropriate scale -Given ordered pairs, locate the x-coordinate on the x-axis -Locate the y-coordinate on the y-axis -Mark the point where the vertical and horizontal lines from these coordinates meet |
Why are coordinates important in real life?
|
-KLB Grade 8 Mathematics pg. 130 -Graph paper -Ruler -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
5 | 2 |
Geometry
|
Coordinates and Graphs - Generating table of values for linear equations
|
By the end of the
lesson, the learner
should be able to:
-Generate table of values for a linear equation -Substitute values in equations -Value the relationship between variables |
-Given linear equations, select appropriate x-values -Substitute each x-value into the equation to find corresponding y-value -Record the ordered pairs in a table -Verify that the pairs satisfy the original equation |
Where do we use linear graphs in real life?
|
-KLB Grade 8 Mathematics pg. 131 -Exercise books -Calculator -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
5 | 3 |
Geometry
|
Coordinates and Graphs - Determining appropriate scale
|
By the end of the
lesson, the learner
should be able to:
-Determine an appropriate scale for a linear equation -Convert actual values to scale values -Show interest in scale selection |
-Analyze the range of x and y values in the table -Choose a scale that allows all points to fit on the graph paper -Convert actual values to appropriate scale values -Discuss the importance of suitable scales |
How do we choose an appropriate scale?
|
-KLB Grade 8 Mathematics pg. 133 -Graph paper -Calculator -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
5 | 4 |
Geometry
|
Coordinates and Graphs - Drawing linear graphs (I)
|
By the end of the
lesson, the learner
should be able to:
-Draw a linear graph from table of values -Plot points accurately -Value the use of linear graphs |
-Draw a Cartesian plane with an appropriate scale -Plot the points from the table of values -Join the points with a straight line using a ruler -Verify that the line passes through all the plotted points |
What information can we derive from linear graphs?
|
-KLB Grade 8 Mathematics pg. 135 -Graph paper -Ruler -Pencil |
-Observation
-Oral questions
-Written tests
|
|
5 | 5 |
Geometry
|
Coordinates and Graphs - Drawing linear graphs (II)
|
By the end of the
lesson, the learner
should be able to:
-Draw linear graphs for different equations -Identify key features of linear graphs -Show interest in graphical representations |
-Generate tables of values for different linear equations -Plot the points on a Cartesian plane -Draw the lines representing the equations -Discuss the gradient and y-intercept of each line |
How does changing the equation affect the graph?
|
-KLB Grade 8 Mathematics pg. 136 -Graph paper -Ruler -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
6 | 1 |
Geometry
|
Coordinates and Graphs - Solving simultaneous equations graphically (I)
|
By the end of the
lesson, the learner
should be able to:
-Solve simultaneous equations graphically -Identify the point of intersection -Value graphical solutions |
-Generate tables of values for two linear equations -Plot both equations on the same Cartesian plane -Identify the point of intersection -Verify that the coordinates satisfy both equations |
How can we solve equations using graphs?
|
-KLB Grade 8 Mathematics pg. 137 -Graph paper -Ruler -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
6 | 2 |
Geometry
|
Coordinates and Graphs - Solving simultaneous equations graphically (II)
|
By the end of the
lesson, the learner
should be able to:
-Solve more complex simultaneous equations -Determine accurate solutions from graphs -Show interest in solution techniques |
-Generate tables of values for equations with different forms -Plot both equations on the same Cartesian plane -Identify the point of intersection with precision -Interpret the meaning of the solution |
What are the advantages of graphical solutions?
|
-KLB Grade 8 Mathematics pg. 138 -Graph paper -Ruler -Calculator |
-Observation
-Oral questions
-Written assignments
|
|
6 | 3 |
Geometry
|
Coordinates and Graphs - Applying simultaneous equations in real life (I)
|
By the end of the
lesson, the learner
should be able to:
-Apply simultaneous equations in real-life problems -Form equations from word problems -Value real-life applications |
-Translate word problems into linear equations -Generate tables of values for the equations -Draw the graphs and find the point of intersection -Interpret the solution in the context of the problem |
Where do we use simultaneous equations in real life?
|
-KLB Grade 8 Mathematics pg. 140 -Graph paper -Calculator -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
6 | 4 |
Geometry
|
Coordinates and Graphs - Applying simultaneous equations in real life (II)
|
By the end of the
lesson, the learner
should be able to:
-Solve complex real-life problems using graphs -Interpret solutions in context -Show interest in practical applications |
-Analyze complex word problems involving costs, quantities, etc. -Form appropriate simultaneous equations -Solve graphically and interpret the solution -Discuss the practical implications of the solution |
How can graphs help us make decisions?
|
-KLB Grade 8 Mathematics pg. 141 -Graph paper -Calculator -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
6 | 5 |
Geometry
|
Coordinates and Graphs - Solving practical problems using graphs
|
By the end of the
lesson, the learner
should be able to:
-Solve practical problems using graphs -Make decisions based on graphical solutions -Appreciate graphical problem-solving |
-Study practical problems from different contexts -Model the problems using simultaneous equations -Solve graphically and analyze the solutions -Compare graphical solutions with algebraic methods |
Why are graphs useful in problem-solving?
|
-KLB Grade 8 Mathematics pg. 142 -Graph paper -Calculator -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
7 | 1 |
Geometry
|
Scale Drawing - Representing length to a given scale
Scale Drawing - Converting actual length to scale length |
By the end of the
lesson, the learner
should be able to:
-Represent length to a given scale -Select appropriate scales -Show interest in scale representation |
-Measure lengths of various objects in the environment -Record measurements in a table -Identify objects that can/cannot be drawn to actual size -Use scales to represent lengths proportionally |
How do we determine scales in real life?
|
-KLB Grade 8 Mathematics pg. 143
-Measuring tape/ruler -Various objects -Drawing materials -KLB Grade 8 Mathematics pg. 145 -Calculator |
-Observation
-Oral questions
-Written assignments
|
|
7 | 2 |
Geometry
|
Scale Drawing - Converting scale length to actual length
|
By the end of the
lesson, the learner
should be able to:
-Convert scale length to actual length -Apply conversion in real-life situations -Show interest in scale conversion |
-Study scale drawings with given scales -Measure scale lengths in the drawings -Convert scale lengths to actual lengths -Verify conversions by measuring actual objects |
How do we determine actual sizes from scale drawings?
|
-KLB Grade 8 Mathematics pg. 147 -Scale drawings -Ruler -Calculator |
-Observation
-Oral questions
-Written assignments
|
|
7 | 3 |
Geometry
|
Scale Drawing - Interpreting linear scales in statement form
|
By the end of the
lesson, the learner
should be able to:
-Interpret linear scales in statement form -Understand statement scales -Value the use of statement scales |
-Analyze diagrams with given actual and scale lengths -Determine the relationship between actual and scale lengths -Express the scale in statement form: "1 cm represents x units" -Apply the scale to find other measurements |
What does a scale statement tell us?
|
-KLB Grade 8 Mathematics pg. 148 -Scale diagrams -Ruler -Calculator |
-Observation
-Oral questions
-Written tests
|
|
7 | 4 |
Geometry
|
Scale Drawing - Writing linear scales in statement form
|
By the end of the
lesson, the learner
should be able to:
-Write linear scales in statement form -Apply statement scales correctly -Show interest in scale representation |
-Study objects with given actual and scale measurements -Calculate the relationship between actual and scale lengths -Express the scale in statement form -Determine actual and scale measurements of other objects using the scale |
How do we create an appropriate scale statement?
|
-KLB Grade 8 Mathematics pg. 149 -Various objects -Measuring tools -Calculator |
-Observation
-Oral questions
-Written assignments
|
|
7 | 5 |
Geometry
|
Scale Drawing - Interpreting linear scales in ratio form
|
By the end of the
lesson, the learner
should be able to:
-Interpret linear scales in ratio form -Understand ratio scales -Value the use of ratio scales |
-Study tables with scale lengths and actual lengths -Convert both measurements to the same units -Express the relationship as a ratio in the form 1:n -Use the ratio scale to find other measurements |
How do we read and use ratio scales?
|
-KLB Grade 8 Mathematics pg. 150 -Scale diagrams -Ruler -Calculator |
-Observation
-Oral questions
-Written tests
|
|
8 | 1 |
Geometry
|
Scale Drawing - Writing linear scales in ratio form
|
By the end of the
lesson, the learner
should be able to:
-Write linear scales in ratio form -Apply ratio scales correctly -Show interest in scale representation |
-Measure actual objects and their scale representations -Convert measurements to the same units -Express the relationship as a ratio in simplest form -Use the ratio to make scale drawings of other objects |
What information does a ratio scale provide?
|
-KLB Grade 8 Mathematics pg. 151 -Various objects -Measuring tools -Calculator |
-Observation
-Oral questions
-Written assignments
|
|
8 | 2 |
Geometry
|
Scale Drawing - Converting linear scale from statement to ratio form
|
By the end of the
lesson, the learner
should be able to:
-Convert linear scales from statement to ratio form -Apply conversion in real-life situations -Value different forms of scale representation |
-Study scales in statement form (1 cm represents x units) -Convert all measurements to the same units -Express the relationship as a ratio in the form 1:n -Verify that both forms represent the same scale |
How are statement and ratio scales related?
|
-KLB Grade 8 Mathematics pg. 152 -Maps with statement scales -Calculator -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
8-9 |
Midbreak |
||||||||
9 | 2 |
Geometry
|
Scale Drawing - Converting linear scale from ratio to statement form
|
By the end of the
lesson, the learner
should be able to:
-Convert linear scales from ratio to statement form -Apply conversion in real-life situations -Show interest in different scale forms |
-Study scales in ratio form (1:n) -Determine what unit measurement the ratio represents -Express the scale in statement form (1 cm represents x units) -Verify that both forms represent the same scale |
Why might we need to convert between scale forms?
|
-KLB Grade 8 Mathematics pg. 153 -Maps with ratio scales -Calculator -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
9 | 3 |
Geometry
|
Scale Drawing - Making scale drawings (I)
|
By the end of the
lesson, the learner
should be able to:
-Make scale drawings using given scales -Apply scale drawing techniques -Value the importance of accuracy in scale drawings |
-Measure objects with regular shapes (rectangles, squares) -Select appropriate scales for drawings -Convert actual measurements to scale lengths -Make accurate scale drawings |
How do we create accurate scale drawings?
|
-KLB Grade 8 Mathematics pg. 155 -Drawing paper -Ruler -Various objects |
-Observation
-Oral questions
-Written tests
|
|
9 | 4 |
Geometry
|
Scale Drawing - Making scale drawings (II)
|
By the end of the
lesson, the learner
should be able to:
-Make more complex scale drawings -Apply scale drawing principles -Show interest in scale drawing applications |
-Measure objects with irregular or complex shapes -Choose suitable scales based on drawing space and object size -Convert actual measurements to scale lengths -Create detailed and accurate scale drawings |
How do professionals use scale drawings?
|
-KLB Grade 8 Mathematics pg. 156 -Drawing paper -Ruler -Protractor |
-Observation
-Oral questions
-Written assignments
|
|
9 | 5 |
Geometry
|
Scale Drawing - Solving problems using scale drawings
Scale Drawing - Applications of scale drawings |
By the end of the
lesson, the learner
should be able to:
-Solve problems using scale drawings -Determine unknown measurements -Value practical applications of scale drawings |
-Study scale drawings with given scales -Measure parts of the scale drawing -Convert scale measurements to actual measurements -Determine unknown dimensions of actual objects |
Where do we use scale drawing in real life situations?
|
-KLB Grade 8 Mathematics pg. 157
-Scale drawings -Ruler -Calculator -Maps -Blueprint samples -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
10 | 1 |
Geometry
|
Common Solids - Identification of common solids
|
By the end of the
lesson, the learner
should be able to:
-Identify common solids from the environment -Classify solids based on properties -Show interest in geometric solids |
-Collect solids of different shapes from the environment -Group them according to their shapes -Count the number of faces, edges, and vertices in each solid -Classify solids as polyhedra or non-polyhedra |
What are common solids?
|
-KLB Grade 8 Mathematics pg. 158 -Common solid objects -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
10 | 2 |
Geometry
|
Common Solids - Characteristics of common solids
|
By the end of the
lesson, the learner
should be able to:
-Describe characteristics of common solids -Differentiate between types of solids -Value the properties of geometric solids |
-Examine various solids: cubes, cuboids, prisms, pyramids, etc. -Identify and count faces, edges, and vertices -Determine the shapes of faces (triangular, rectangular, etc.) -Classify solids based on their properties |
What features define different types of solids?
|
-KLB Grade 8 Mathematics pg. 160 -Solid models -Digital resources |
-Observation
-Oral questions
-Written tests
|
|
10 | 3 |
Geometry
|
Common Solids - Nets of cube and cuboid
|
By the end of the
lesson, the learner
should be able to:
-Sketch nets of cubes and cuboids -Understand the relationship between nets and solids -Show interest in nets of solids |
-Use boxes with open tops for the activity -Cut along edges and spread out the faces -Sketch the shape of the spread faces -Identify different possible nets for the same solid |
How do we use common solids in real life?
|
-KLB Grade 8 Mathematics pg. 161 -Cardboard boxes -Scissors -Drawing materials |
-Observation
-Oral questions
-Written assignments
|
|
10 | 4 |
Geometry
|
Common Solids - Nets of pyramids
|
By the end of the
lesson, the learner
should be able to:
-Sketch nets of pyramids -Understand the components of pyramids -Value the relationship between nets and solids |
-Study pyramids with different base shapes -Cut pyramids along edges to create nets -Identify the shapes of faces in the nets -Draw nets of pyramids with given dimensions |
How do nets help us understand solids?
|
-KLB Grade 8 Mathematics pg. 163 -Pyramid models -Scissors -Drawing materials |
-Observation
-Oral questions
-Written tests
|
|
10 | 5 |
Geometry
|
Common Solids - Nets of cylinders
|
By the end of the
lesson, the learner
should be able to:
-Sketch nets of cylinders -Understand the components of cylinders -Show interest in cylinder properties |
-Examine cylindrical objects -Identify the components (circular bases and curved surface) -Draw the net showing the rectangular curved surface and circular bases -Calculate dimensions of the rectangular part from the cylinder's radius and height |
How does a cylinder's net relate to its dimensions?
|
-KLB Grade 8 Mathematics pg. 164 -Cylindrical objects -Ruler -Drawing materials |
-Observation
-Oral questions
-Written assignments
|
|
11 | 1 |
Geometry
|
Common Solids - Nets of cones
|
By the end of the
lesson, the learner
should be able to:
-Sketch nets of cones -Understand the components of cones -Value the relationship between nets and solids |
-Examine conical objects -Identify the components (circular base and curved surface) -Draw the net showing the sector for curved surface and circular base -Calculate the sector angle based on slant height and radius |
What determines the shape of a cone's net?
|
-KLB Grade 8 Mathematics pg. 166 -Conical objects -Compass -Drawing materials |
-Observation
-Oral questions
-Written tests
|
|
11 | 2 |
Geometry
|
Common Solids - Surface area of cubes
|
By the end of the
lesson, the learner
should be able to:
-Work out surface area of cubes from nets -Apply the formula for cube surface area -Show interest in surface area calculations |
-Draw nets of cubes with given dimensions -Calculate the area of each face (all squares of same size) -Find the sum of areas of all faces -Derive and apply the formula: SA = 6a² |
How do we calculate the surface area of a cube?
|
-KLB Grade 8 Mathematics pg. 166 -Cube models -Calculator -Drawing materials |
-Observation
-Oral questions
-Written assignments
|
|
11 | 3 |
Geometry
|
Common Solids - Surface area of cuboids
|
By the end of the
lesson, the learner
should be able to:
-Work out surface area of cuboids from nets -Apply the formula for cuboid surface area -Value surface area applications |
-Draw nets of cuboids with given dimensions -Calculate the area of each rectangular face -Find the sum of areas of all faces -Derive and apply the formula: SA = 2(lb + lh + bh) |
What's the relationship between dimensions and surface area?
|
-KLB Grade 8 Mathematics pg. 168 -Cuboid models -Calculator -Drawing materials |
-Observation
-Oral questions
-Written tests
|
|
11 | 4 |
Geometry
|
Common Solids - Surface area of cylinders
|
By the end of the
lesson, the learner
should be able to:
-Work out surface area of cylinders from nets -Apply the formula for cylinder surface area -Show interest in cylinder properties |
-Draw nets of cylinders with given dimensions -Calculate the area of the circular bases and rectangular curved surface -Find the sum of areas of all faces -Derive and apply the formula: SA = 2πr² + 2πrh |
How do we calculate the surface area of a cylinder?
|
-KLB Grade 8 Mathematics pg. 170 -Cylinder models -Calculator -Drawing materials |
-Observation
-Oral questions
-Written assignments
|
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11 | 5 |
Geometry
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Common Solids - Surface area of triangular prisms
Common Solids - Distance between points on solid surfaces |
By the end of the
lesson, the learner
should be able to:
-Work out surface area of triangular prisms -Apply appropriate formulas -Value the properties of prisms |
-Draw nets of triangular prisms with given dimensions -Calculate the area of the triangular bases -Calculate the area of the rectangular lateral faces -Find the sum of areas of all faces |
What factors affect a prism's surface area?
|
-KLB Grade 8 Mathematics pg. 171
-Triangular prism models -Calculator -Drawing materials -KLB Grade 8 Mathematics pg. 172 -Solid models -Ruler -String |
-Observation
-Oral questions
-Written tests
|
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12 | 1 |
Geometry
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Common Solids - More on distance between points
|
By the end of the
lesson, the learner
should be able to:
-Solve complex problems involving distance on solid surfaces -Apply problem-solving strategies -Value geometric reasoning |
-Study complex paths between points on different faces -Draw nets showing the points and the path between them -Calculate distances on different parts of the path -Find the total distance of the path |
How do we determine the shortest path between points?
|
-KLB Grade 8 Mathematics pg. 174 -Solid models -String -Calculator |
-Observation
-Oral questions
-Written tests
|
|
12 | 2 |
Geometry
|
Common Solids - Making models of hollow solids
|
By the end of the
lesson, the learner
should be able to:
-Make models of hollow solids -Apply knowledge of nets -Show interest in model making |
-Draw nets of solids on paper or cardboard -Cut out the nets along outlines -Fold along internal lines -Use glue or tape to join edges -Create hollow models of various solids |
How do architects and designers use geometric models?
|
-KLB Grade 8 Mathematics pg. 175 -Paper/cardboard -Scissors -Glue/tape |
-Observation
-Oral questions
-Model creation
|
|
12 | 3 |
Geometry
|
Common Solids - Making skeleton models
|
By the end of the
lesson, the learner
should be able to:
-Make skeleton models of solids -Understand edges and vertices -Value different model types |
-Use straws or wires to represent edges -Use clay or adhesive to connect at vertices -Create skeleton models of cubes, prisms, pyramids, etc. -Compare skeleton and hollow models |
What insights do skeleton models provide?
|
-KLB Grade 8 Mathematics pg. 176 -Straws/wires -Clay/adhesive -Scissors |
-Observation
-Oral questions
-Model creation
|
|
12 | 4 |
Geometry
|
Common Solids - Making compact solid models
|
By the end of the
lesson, the learner
should be able to:
-Make compact solid models -Apply geometric knowledge -Show interest in solid models |
-Use plasticine, clay, or other moldable materials -Create models of various solids -Use hollow models as molds for compact models -Compare different types of models |
How do we use common solids in real life?
|
-KLB Grade 8 Mathematics pg. 177 -Clay/plasticine -Containers -Tools for molding |
-Observation
-Oral questions
-Model creation
|
|
12 | 5 |
Geometry
|
Common Solids - Applications of solids
|
By the end of the
lesson, the learner
should be able to:
-Apply knowledge of solids in real-life contexts -Identify geometric solids in the environment -Value the importance of geometry in daily life |
-Explore applications of different solids in architecture, packaging, art, etc. -Identify solids in natural and man-made structures -Discuss the properties that make solids suitable for specific purposes -Create designs using combinations of solids |
How does understanding solids help in everyday life?
|
-KLB Grade 8 Mathematics pg. 177 -Sample objects -Digital resources -Models |
-Observation
-Oral questions
-Written assignments
|
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13-14 |
Examinations |
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