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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
|
Circles - Circumference of a circle
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
2 | 2 |
Measurements
|
Circles - Circumference of a circle
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
2 | 3 |
Measurements
|
Circles - Circumference of a circle
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
2 | 4 |
Measurements
|
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 in real life situations -Value the use of circumference in problem solving |
-Collect different circular objects from the environment -Work out the circumference of each object -Solve real-life problems involving the circumference of a circle |
How do we use the circumference of a circle in real life situations?
|
MENTOR Mathematics Learner's Book pg. 89
-Circular objects -Ruler -String |
-Observation
-Oral questions
-Written tests
|
|
2 | 5 |
Measurements
|
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 in real life situations -Value the use of circumference in problem solving |
-Collect different circular objects from the environment -Work out the circumference of each object -Solve real-life problems involving the circumference of a circle |
How do we use the circumference of a circle in real life situations?
|
MENTOR Mathematics Learner's Book pg. 89
-Circular objects -Ruler -String |
-Observation
-Oral questions
-Written tests
|
|
3 | 1 |
Measurements
|
Circles - Length of an arc
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
3 | 2 |
Measurements
|
Circles - Length of an arc
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
3 | 3 |
Measurements
|
Circles - Length of an arc
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
3 | 4 |
Measurements
|
Circles - Length of an arc
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
3 | 5 |
Measurements
|
Circles - Length of an arc (continued)
|
By the end of the
lesson, the learner
should be able to:
-Calculate the length of an arc for different angles -Value the use of arc length in problem solving |
-Draw and cut out a circle of radius 4 cm -Fold the circular cut out into four equal parts and cut along the fold lines -Work out the length of the arc of the quarter circle -Apply the formula for arc length based on the angle subtended at the center |
How do we determine the length of an arc for different angles?
|
MENTOR Mathematics Learner's Book pg. 92-93
-Plain paper -Pair of scissors -Ruler |
-Observation
-Oral questions
-Written tests
|
|
4 | 1 |
Measurements
|
Circles - Perimeter of a sector
|
By the end of the
lesson, the learner
should be able to:
-Calculate the perimeter of a sector of a circle -Show interest in relating the perimeter of a sector to its parts |
-Draw and cut out a circle of radius 5 cm -Fold the circular cut out into four equal parts and cut along the fold lines -Work out the perimeter of the quarter circle -Define a sector as a region bound by two radii and an arc -Calculate the perimeter as the sum of the arc length and the two radii |
How do we use sectors of a circle in real life situations?
|
MENTOR Mathematics Learner's Book pg. 94-95
-Plain paper -Pair of scissors -Ruler |
-Observation
-Oral questions
-Written assignments
|
|
4 | 2 |
Measurements
|
Circles - Perimeter of a sector (continued)
|
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 |
-Observation
-Oral questions
-Written tests
|
|
4 | 3 |
Measurements
|
Circles - Perimeter of a sector (continued)
|
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 |
-Observation
-Oral questions
-Written tests
|
|
4 | 4 |
Measurements
|
Circles - Perimeter of a sector (continued)
|
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 |
-Observation
-Oral questions
-Written tests
|
|
4 | 5 |
Measurements
|
Area - Area of a circle
|
By the end of the
lesson, the learner
should be able to:
-Calculate the area of a circle -Show interest in finding the area of circles |
-Go to the field and use a peg, string, tape measure and wood ash to draw circles of different radii -Work out the area of each circle using the formula A = πr² -Compare the areas of circles of different radii |
How do we use area in real life situations?
|
MENTOR Mathematics Learner's Book pg. 99
-Peg -String -Tape measure -Wood ash |
-Observation
-Oral questions
-Written assignments
|
|
5 | 1 |
Measurements
|
Area - Area of a circle in real life
|
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 |
-Observation
-Oral questions
-Written tests
|
|
5 | 2 |
Measurements
|
Area - Area of a circle in real life
|
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 |
-Observation
-Oral questions
-Written tests
|
|
5 | 3 |
Measurements
|
Area - Area of a circle in real life
|
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 |
-Observation
-Oral questions
-Written tests
|
|
5 | 4 |
Measurements
|
Area - Area of a circle in real life
|
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 |
-Observation
-Oral questions
-Written tests
|
|
5 | 5 |
Measurements
|
Area - Area of a circle in real life
|
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 |
-Observation
-Oral questions
-Written tests
|
|
6 | 1 |
Measurements
|
Area - Area of a sector
|
By the end of the
lesson, the learner
should be able to:
-Calculate the area of a sector of a circle -Appreciate the relationship between angle and area of a sector |
-Draw a circle of radius 7 cm on plain paper and divide it into two equal parts -Find the area of the shaded part (semicircle) -Draw another circle and divide it into 4 equal parts -Find the area of one part (quarter circle) -Derive the formula for area of a sector |
How do we calculate the area of a sector?
|
MENTOR Mathematics Learner's Book pg. 102-103
-Ruler -Plain paper -Pair of compasses |
-Observation
-Oral questions
-Written assignments
|
|
6 | 2 |
Measurements
|
Area - Area of a sector
|
By the end of the
lesson, the learner
should be able to:
-Calculate the area of a sector of a circle -Appreciate the relationship between angle and area of a sector |
-Draw a circle of radius 7 cm on plain paper and divide it into two equal parts -Find the area of the shaded part (semicircle) -Draw another circle and divide it into 4 equal parts -Find the area of one part (quarter circle) -Derive the formula for area of a sector |
How do we calculate the area of a sector?
|
MENTOR Mathematics Learner's Book pg. 102-103
-Ruler -Plain paper -Pair of compasses |
-Observation
-Oral questions
-Written assignments
|
|
6 | 3 |
Measurements
|
Area - Area of a sector
|
By the end of the
lesson, the learner
should be able to:
-Calculate the area of a sector of a circle -Appreciate the relationship between angle and area of a sector |
-Draw a circle of radius 7 cm on plain paper and divide it into two equal parts -Find the area of the shaded part (semicircle) -Draw another circle and divide it into 4 equal parts -Find the area of one part (quarter circle) -Derive the formula for area of a sector |
How do we calculate the area of a sector?
|
MENTOR Mathematics Learner's Book pg. 102-103
-Ruler -Plain paper -Pair of compasses |
-Observation
-Oral questions
-Written assignments
|
|
6 | 4 |
Measurements
|
Area - Area of a sector (continued)
|
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 |
-Observation
-Oral questions
-Written tests
|
|
6 | 5 |
Measurements
|
Area - Area of a sector (continued)
|
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 |
-Observation
-Oral questions
-Written tests
|
|
7 | 1 |
Measurements
|
Area - Surface area of cubes
|
By the end of the
lesson, the learner
should be able to:
-Work out the surface area of a cube -Appreciate the 3D nature of a cube |
-Discuss the properties of a cube -Cut a cube along its edges to separate the faces -Measure the sides of each face and calculate their areas -Find the sum of the areas of all six faces -Derive the formula for surface area of a cube |
How do we determine the surface area of a cube?
|
MENTOR Mathematics Learner's Book pg. 106-107
-Closed cube -Ruler -Pair of scissors |
-Observation
-Oral questions
-Written assignments
|
|
7 | 2 |
Measurements
|
Area - Surface area of cubes
|
By the end of the
lesson, the learner
should be able to:
-Work out the surface area of a cube -Appreciate the 3D nature of a cube |
-Discuss the properties of a cube -Cut a cube along its edges to separate the faces -Measure the sides of each face and calculate their areas -Find the sum of the areas of all six faces -Derive the formula for surface area of a cube |
How do we determine the surface area of a cube?
|
MENTOR Mathematics Learner's Book pg. 106-107
-Closed cube -Ruler -Pair of scissors |
-Observation
-Oral questions
-Written assignments
|
|
7 | 3 |
Measurements
|
Area - Surface area of cubes
|
By the end of the
lesson, the learner
should be able to:
-Work out the surface area of a cube -Appreciate the 3D nature of a cube |
-Discuss the properties of a cube -Cut a cube along its edges to separate the faces -Measure the sides of each face and calculate their areas -Find the sum of the areas of all six faces -Derive the formula for surface area of a cube |
How do we determine the surface area of a cube?
|
MENTOR Mathematics Learner's Book pg. 106-107
-Closed cube -Ruler -Pair of scissors |
-Observation
-Oral questions
-Written assignments
|
|
7 | 4 |
Measurements
|
Area - Surface area of cubes
|
By the end of the
lesson, the learner
should be able to:
-Work out the surface area of a cube -Appreciate the 3D nature of a cube |
-Discuss the properties of a cube -Cut a cube along its edges to separate the faces -Measure the sides of each face and calculate their areas -Find the sum of the areas of all six faces -Derive the formula for surface area of a cube |
How do we determine the surface area of a cube?
|
MENTOR Mathematics Learner's Book pg. 106-107
-Closed cube -Ruler -Pair of scissors |
-Observation
-Oral questions
-Written assignments
|
|
7 | 5 |
Measurements
|
Area - Surface area of cuboids
|
By the end of the
lesson, the learner
should be able to:
-Work out the surface area of a cuboid -Show interest in calculating surface areas of cuboids |
-Discuss the properties of a cuboid -Cut a cuboid along its edges to separate the faces -Measure the length and width of each face and calculate their areas -Find the sum of the areas of all six faces -Derive the formula for surface area of a cuboid |
How do we find the surface area of a cuboid?
|
MENTOR Mathematics Learner's Book pg. 108-109
-Closed cuboid -Ruler -Pair of scissors |
-Observation
-Oral questions
-Written tests
|
|
8 | 1 |
Measurements
|
Area - Surface area of cylinders
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
8 | 2 |
Measurements
|
Area - Surface area of cylinders (continued)
|
By the end of the
lesson, the learner
should be able to:
-Calculate the surface area of cylinders in real life situations -Value the use of surface area in practical contexts |
-Apply the formula for surface area of a cylinder in real-life problems -Calculate the surface area of cylindrical objects -Solve problems involving packaging and wrapping of cylindrical objects |
How do we apply the concept of surface area of cylinders in real life?
|
MENTOR Mathematics Learner's Book pg. 112-113
-Cylindrical objects -Calculator -Measuring tools |
-Observation
-Oral questions
-Written tests
|
|
8 | 3 |
Measurements
|
Area - Surface area of cylinders (continued)
|
By the end of the
lesson, the learner
should be able to:
-Calculate the surface area of cylinders in real life situations -Value the use of surface area in practical contexts |
-Apply the formula for surface area of a cylinder in real-life problems -Calculate the surface area of cylindrical objects -Solve problems involving packaging and wrapping of cylindrical objects |
How do we apply the concept of surface area of cylinders in real life?
|
MENTOR Mathematics Learner's Book pg. 112-113
-Cylindrical objects -Calculator -Measuring tools |
-Observation
-Oral questions
-Written tests
|
|
8 | 4 |
Measurements
|
Area - Surface area of cylinders (continued)
|
By the end of the
lesson, the learner
should be able to:
-Calculate the surface area of cylinders in real life situations -Value the use of surface area in practical contexts |
-Apply the formula for surface area of a cylinder in real-life problems -Calculate the surface area of cylindrical objects -Solve problems involving packaging and wrapping of cylindrical objects |
How do we apply the concept of surface area of cylinders in real life?
|
MENTOR Mathematics Learner's Book pg. 112-113
-Cylindrical objects -Calculator -Measuring tools |
-Observation
-Oral questions
-Written tests
|
|
8 | 5 |
Measurements
|
Area - Surface area of triangular prisms
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
9 |
Midterm |
||||||||
10 | 1 |
Measurements
|
Area - Area of irregular shapes
|
By the end of the
lesson, the learner
should be able to:
-Work out the area of irregular shapes using square grids -Appreciate the method of estimating areas of irregular shapes |
-Place a leaf on a square grid and trace its outline -Count the number of unit squares fully enclosed -Count the number of squares partially enclosed and divide by two -Add the results to estimate the area of the leaf -Discuss real-life applications of estimating irregular areas |
How do we estimate the area of irregular shapes?
|
MENTOR Mathematics Learner's Book pg. 116-118
-Square grid -Leaf -Ruler |
-Observation
-Oral questions
-Written tests
-Practical activities
|
|
10 | 2 |
Measurements
|
Area - Area of irregular shapes
|
By the end of the
lesson, the learner
should be able to:
-Work out the area of irregular shapes using square grids -Appreciate the method of estimating areas of irregular shapes |
-Place a leaf on a square grid and trace its outline -Count the number of unit squares fully enclosed -Count the number of squares partially enclosed and divide by two -Add the results to estimate the area of the leaf -Discuss real-life applications of estimating irregular areas |
How do we estimate the area of irregular shapes?
|
MENTOR Mathematics Learner's Book pg. 116-118
-Square grid -Leaf -Ruler |
-Observation
-Oral questions
-Written tests
-Practical activities
|
|
10 | 3 |
Measurements
|
Area - Area of irregular shapes
|
By the end of the
lesson, the learner
should be able to:
-Work out the area of irregular shapes using square grids -Appreciate the method of estimating areas of irregular shapes |
-Place a leaf on a square grid and trace its outline -Count the number of unit squares fully enclosed -Count the number of squares partially enclosed and divide by two -Add the results to estimate the area of the leaf -Discuss real-life applications of estimating irregular areas |
How do we estimate the area of irregular shapes?
|
MENTOR Mathematics Learner's Book pg. 116-118
-Square grid -Leaf -Ruler |
-Observation
-Oral questions
-Written tests
-Practical activities
|
|
10 | 4 |
Measurements
|
Area - Area of irregular shapes
|
By the end of the
lesson, the learner
should be able to:
-Work out the area of irregular shapes using square grids -Appreciate the method of estimating areas of irregular shapes |
-Place a leaf on a square grid and trace its outline -Count the number of unit squares fully enclosed -Count the number of squares partially enclosed and divide by two -Add the results to estimate the area of the leaf -Discuss real-life applications of estimating irregular areas |
How do we estimate the area of irregular shapes?
|
MENTOR Mathematics Learner's Book pg. 116-118
-Square grid -Leaf -Ruler |
-Observation
-Oral questions
-Written tests
-Practical activities
|
|
10 | 5 |
Measurements
|
Area - Area of irregular shapes
|
By the end of the
lesson, the learner
should be able to:
-Work out the area of irregular shapes using square grids -Appreciate the method of estimating areas of irregular shapes |
-Place a leaf on a square grid and trace its outline -Count the number of unit squares fully enclosed -Count the number of squares partially enclosed and divide by two -Add the results to estimate the area of the leaf -Discuss real-life applications of estimating irregular areas |
How do we estimate the area of irregular shapes?
|
MENTOR Mathematics Learner's Book pg. 116-118
-Square grid -Leaf -Ruler |
-Observation
-Oral questions
-Written tests
-Practical activities
|
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