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WK | LSN | STRAND | SUB-STRAND | LESSON LEARNING OUTCOMES | LEARNING EXPERIENCES | KEY INQUIRY QUESTIONS | LEARNING RESOURCES | ASSESSMENT METHODS | REFLECTION |
---|---|---|---|---|---|---|---|---|---|
2 | 1 |
NUMBERS
|
INTEGERS
|
By the end of the
lesson, the learner
should be able to:
-Make a number chart with integers. -Add any two integers from the chart. -Appreciate the use of integers in real life situation. |
In pairs, learners are guided to;
-Make a number chart with integers. -Add any two integers from the chart. |
How do we carry out the addition of integers in real life situation?
|
-Top scholar mathematics pg.
curriculum design. -Place value chart. -Top scholar mathematics grade 9 -Curriculum design grade 9. |
-Class activities.
-Making a number chart.
-Written exercise.
|
|
2 | 2 |
NUMBERS
|
INTEGERS
|
By the end of the
lesson, the learner
should be able to:
-Make number cards with integers. -Determine the product of each multiplication. -Appreciate the use of integers in real life situation. |
In pairs,learners are guided to;
-Make number cards with integers. -Determine the product of each multiplication. |
-How do we carry out multiplication of integers in real life situation?
|
-Top scholar mathematics grade 9 pg
-Curriculum design grade 9. -Place value chart. -Curriculum design 9. |
-Written exercise.
-Class activities.
|
|
2 | 3 |
NUMBERS
|
INTEGERS
|
By the end of the
lesson, the learner
should be able to:
-Make number cards with integers. -Work out combined operations of integers in different situation. -Appreciate the use of integers in real life situation. |
In groups, learners are guided on; -Making number cards.
-Working out combined operations on integers in different situations. |
-How do we carry out combined operations of integers in real life?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -Place value chart. |
-Written exercise.
-Class activities.
|
|
2 | 4 |
NUMBERS
|
CUBES AND CUBE ROOTS
|
By the end of the
lesson, the learner
should be able to:
-Use stacks of cubes to demonstrate the concept of cube. -Work out cubes of numbers by multiplication in real life. -Apply cubes in real life situations. |
In pairs,learners are guided to;
-Use status of cubes to demonstrate the concept of cube. -In pairs,work out cubes of numbers by multiplication in real life situations. |
-How do we work out the cubes of numbers by multiplication?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -Place value chart. |
-Written exercise.
-Oral questions.
|
|
2 | 5 |
NUMBERS
NUMBER |
CUBES AND CUBE ROOTS
CUBES AND CUBE ROOT |
By the end of the
lesson, the learner
should be able to:
-Discuss how to determine the volume of a cube. -Determine cubes of numbers by factor method in different situations. -Appreciate cubes in real life situations. |
In pairs,groups or individually, learner are guided;
-Discuss how to determine the volume of a cube. -Determine the cube of numbers by factor method in different situations. |
-How do we work out the cubes of numbers by factor method?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -Place value chart. |
-Written exercise.
-Oral questions
|
|
3 | 1 |
NUMBERS
|
CUBE AND CUBE ROOTS
|
By the end of the
lesson, the learner
should be able to:
-Use scientific calculator to work out problems on cube and cube roots of numbers. -Determine cubes an cube roots of different numbers using a calculator. -Appreciate use of calculator in working out cubes of different numbers. |
In pairs or individually,
-Discuss how to use a scientific calculator in calculating cubes and cube roots of different numbers. -Determine cube and cube roots of different numbers using a calculator. |
-How do we work out cube and cube root of numbers using a calculator?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -Place value chart. |
-Written excersise.
|
|
3 | 2 |
NUMBERS
NUMBER |
INDICES AND LOGARITHM
INDICES AND LOGARITHMS. |
By the end of the
lesson, the learner
should be able to:
-Discuss indices and identify the base. -Express numbers in index form in different situation. -Appreciate the use of indices and logariths in real life situations. |
In groups or pairs, learners are guided to:
-Discuss indices and identify the base. -Express numbers in index form in different situation. |
-How do we express numbers in index form?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -Multiplication tables. -Place value chart. |
-Written exercises.
-Oral questions.
|
|
3 | 3 |
NUMBERS
|
INDICES AND LOGARITHMS
INDICES AND LOGARITHS |
By the end of the
lesson, the learner
should be able to:
-State the division law of indices. -Apply the laws of indices using division in different situations. -Appreciate the use of indices in real life situations. |
In groups,learners are guided to;
- -Apply laws of indices in division. - |
-What is the law of indices in division?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -Place value chart. |
-Written exercise.
-Oral questions.
|
|
3 | 4 |
NUMBERS
|
INDICES AND LOGARITHM
INDICES AND LOGARITHM |
By the end of the
lesson, the learner
should be able to:
-Express logarithms in index form. - Relate powers of 10 to common logarithms in different situations. - Appreciate the use of indices and logarithms in real life situations. |
Learners are guided in pairs, groups or individually to:
-Express logarithm in index form - Relate powers of 10 to common logarithms in different situations. |
How can we write logarithm in index form?.
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -Mathematical table. -Mathematical tables -Calculator. |
-Class activities
-Written test
-Assignment
|
|
3 | 5 |
NUMBERS
|
COMPOUND PROPOTIONS AND RATE OF WORK
COMPOUND PROPOTIONS AND RATES OF WORK. |
By the end of the
lesson, the learner
should be able to:
-Divide quantities into proportional parts in real life situations - Express proportional parts as a fraction -Appreciate the use of compound proportions and rates in real life situations |
Learners are guided in pairs to :
-Divide quantities into proportional parts in real life situations -Express proportional parts as a fraction. |
What are proportions?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. |
-Class activities
-Written test
-Assignment
-Oral questions
-observation
|
|
4 | 1 |
NUMBERS
|
COMPOUND PROPOTIONS AND RATES OF WORK
COMPOUND PROPOTION AND RATES OF WORK |
By the end of the
lesson, the learner
should be able to:
-Compare and write different ratios -relare different proportional parts in real life situations -appreciate the use of compound proportions and rates of work in real life situations. |
Learners in groups , pairs or individually are guided to;
-compare and write different ratios -relate different proportional parts in real life situations |
How can we divide quantities into proportional parts?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -multiplication tables -place value apparatus -number charts |
-Class activities
-observation
-Written test
-Assignment
|
|
4 | 2 |
NUMBERS
|
COMPOUND PROPOTIONS AND RATES OF WORK
|
By the end of the
lesson, the learner
should be able to:
-Discuss and compare various ratios -relate different proportional parts in real life situations - appreciate the use of compound proportions and rates of work in real life situations. |
Learners are guided to :
-discuss and compare various ratios -relate different proportional parts in real life situations |
How can we relate ratios?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -multiplication table |
-Class activities
-Written test
-Assignment
|
|
4 | 3 |
NUMBERS
|
COMPOUND PROPOTIONS AND RATES OF WORK
MATRICES |
By the end of the
lesson, the learner
should be able to:
-Define compound proportions -work out compound proportions using the ratio method in different situation -Appreciate the use of compound proportions and rates of work in real life situations. |
Learners are guided to ;
-define compound proportions -work out compound proportions using the ratio method in different situations |
What is a compound proportion?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -multiplication tables. -multiplication table |
-Oral questions
-Class activities
-Assignment
|
|
4 | 4 |
NUMBERS
|
MATRICES
|
By the end of the
lesson, the learner
should be able to:
-Arrange items in rows and columns and discuss how to represent a matrix -determine the order of a matrix in different situations -appreciate the use of a matrix in real life situations. |
Learners are guided in pairs to arrange items in rows and columns and discuss how to represent a matrix
-determine the order of a matrix in real life situation. |
What is a row and a column?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -A chart with rows and columns. |
-Class activities
-Written test
-Assignment
|
|
4 | 5 |
NUMBERS
ALGEBRA |
MATRICES
|
By the end of the
lesson, the learner
should be able to:
-Identify the position of each item or element in terms of rows and column -Stating the order of matrix. -appreciate the use of matrices in real life situations. |
Learners are guided in pairs to:
-explain and give an example of an element in a matrix -discuss and identify the position of each item in terms of row and column in matrix -determine the position of items in a matrix in different situations |
What is an element in a matrix?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -A chart with rows and columns. |
-Class activities
-Written test
-Assignment
|
|
5 | 1 |
ALGEBRA
|
MATRICES
|
By the end of the
lesson, the learner
should be able to:
-Discuss what is represented by the rows and what is represented by the columns from two or more matrices to carry out addition or subtraction. -carry out addition of matrices -appreciate the use of matrices in real life situation. |
Learners are guided in pairs , groups or individually to :
-discuss what is represented by the rows and what is represented by columns in a matrix -to carry out addition of matrices |
How can you add matrices?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -A chart with rows and columns. - Multiplication tables. |
-Class activities
-Written test
-Assignment
|
|
5 | 2 |
ALGEBRA
|
EQUATION OF A STRAIGHT LINE
EQUATION OF A STRAIGHT LINE |
By the end of the
lesson, the learner
should be able to:
-Discuss steepness concerning gradient from the immediate environment -identify the gradient in real life situations -Appreciate gradient and its purpose in real life situations |
Learners are guided in pairs, groups or individually to:
-discuss steepness concerning gradient from the immediate environment. -identify the gradient in real life situation |
What is gradient?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -Environment -Realia. -Ruler -Geometrical set. -Pencil. |
-Class activities
-assignment.
|
|
5 | 3 |
ALGEBRA
|
EQUATION OF A STRAIGHT LINE
|
By the end of the
lesson, the learner
should be able to:
-Draw a straight line and interpret a Cartesian plane. -determine the gradient of a line from two known points -appreciate gradient and its uses in real life situation. |
Learners are guided in pairs , groups or individually to;
-draw and interpret a Cartesian plane -determine the gradient of a line from two known points. |
How can we deter mine the gradient of a line from two known points?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -Ruler -Geometrical set. -Pencil. -Graph book. -place value chart. -graph book |
-Class activities
-observation
-Assignment
|
|
5 | 4 |
ALGEBRA
|
EQUATION OF A STRAIGHT LINE
|
By the end of the
lesson, the learner
should be able to:
-Find the gradient between two points -determine the equation of a straight line given two points -appreciate the use of equations of straight lines in real life situations |
Learners are guided in pairs, groups or individually to:
-find the gradient between two points -determine the equation of a straight line given two points |
How can we determine the equation of a straight line from two points?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -Place value chart. -graph book -Ruler -Geometrical set. |
-Class activities
-observation
-Assignment
|
|
5 | 5 |
ALGEBRA
|
EQUATION OF A STRAIGHT LINE
|
By the end of the
lesson, the learner
should be able to:
-Identify the x –coordinate and y- coordinates from a given point -determine the equation of a straight line from a known point and a gradient -appreciate the use of equation of a straight line in real life situations |
The
learners are guided to identify the x - coordinates and y –coordinates from a given point -determine the equation of a straight line from a known point and a gradient |
How can you determine the equation of a straight line from a known point and a gradient?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. - Ruler -Geometrical set. -Pencil. -A Cartesian plane. -Ruler. |
-Class activity
-observation
-Written test
-Assignment
|
|
6 |
Midterm |
||||||||
7 | 1 |
ALGEBRA
|
EQUATION OF A STRAIGHT LINE
|
By the end of the
lesson, the learner
should be able to:
-Explain the variables and constant s in the equation of a straight line y mx+c -express the equation of a straight line in the form of y= mx+c -appreciate the use of equations of straight lines in real life |
Learners are guided in pairs, groups or individually to :
-explain the variables and constant in the equation of a straight line Y = MX+C -express the equation of a straight line in the form y = mx+c |
What are the variables and constants in the equation of a straight line y mx +c?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -Ruler -Geometrical set. -Graph book. -A Cartesian plane. |
-Class activities
-Written tests
-Assignment
|
|
7 | 2 |
ALGEBRA
|
EQUATION OF A STRAIGHT LINE
|
By the end of the
lesson, the learner
should be able to:
-Determine the gradient and the y coordinates of the points where the line cuts the y axis -Interpret the equation Y = MX+C in different situations -appreciate the use of equations of straight lines in rel life |
Learners are guided in pairs, groups or individually to;
-determine the gradient and the y coordinates of the point where the line cuts the y axis -interpret the equation Y = MX +C in different situations |
How do you determine the gradient and the y coordinate of the point where the line cuts the y axis?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -Ruler -Geometrical set. -Pencil. -A Graph -A Cartesian plane. Ruler -A graph book. |
-Class activities
-Written test
-Assignment
|
|
7 | 3 |
ALGEBRA
|
EQUATION OF A STRAIGHT LINE
LINEAR INEQUALITIES |
By the end of the
lesson, the learner
should be able to:
-explain the variables and constants in the equation of a straight line y =mx +c -determine the x and y intercepts of a straight line -appreciate the use of equations of straight lines in real life situations |
Learners are guided to;
-explain the variables and constants in the equation of a straight line Y = MX+C -determine the x and y intercepts of a straight line. |
How can you determine the x and y intercepts of a straight line?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. - Ruler -Geometrical set. -Pencil. -A Graph book. -A Cartesian plane. |
-Class activities
-Written test
-Assignment
|
|
7 | 4 |
ALGEBRA
|
LINEAR INEQUALITIES
|
By the end of the
lesson, the learner
should be able to:
-Discuss simple inequality statements -Represent linear inequalities in one unknown graphically -Appreciate the use of linear inequalities in real life -Enjoy solving problems using linear inequalities |
Learners are guided in pairs, groups or individually to;
-discuss simple inequality statements -represent linear inequalities in one unknown graphically -indicate and discuss the region that satisfies the inequalities |
How do we represent linear inequalities in graphs?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -graph books. -Cartesian plane. -graph books |
-Oral questions
-Written tests
-Assignment
|
|
7 | 5 |
ALGEBRA
|
LINEAR INEQUALITIES
|
By the end of the
lesson, the learner
should be able to:
-discuss and generate a table of values -represent linear inequality in two unknowns graphically -appreciate and enjoy solving linear inequalities in real life situations |
Learners are guided in pairs, groups or individually to;
-discuss and generate a table of values -represent linear inequality in two unknowns graphically |
How can you determine linear inequality in two unknowns graphically?
|
- Top Scholar mathematics grade 9 pg.
-Curriculum design grade 9. -graph books -Cartesian plane -Graph book. -Cartesian plane. |
-Oral questions
-Written tests
-Assignment
|
|
8 | 1 |
MEASUREMENTS
|
AREA OF A PENTAGON
AREA OF A HEXAGON |
By the end of the
lesson, the learner
should be able to:
; -Identify and state number of sides in a pentagon. -Work out area of a pentagon. -Solve more problems involving area of pentagon. -Develop genuine interest in calculating the area of pentagon. |
In groups and individually, learners are guided to;
-Identify and recognizing the number of sides in a pentagon. -Naming different objects with pentagonal shapes. -Working the area of different pentagons using formula. -Work out more problems on area of pentagons. -Make paper cut outs of pentagons and relating them with real day to day objects. |
-How many sides does a pentagon have?
|
-Mentors Mathematics learners book grade 9 page 73-74.
-Paper cut outs. -Charts with different pentagons with different measurements. -Pair of scissors. -Manilla paper. -A ruler and a pair of protractor. -Mentors Mathematics learners book grade 9 page 74-76. |
-Checklist
-Written exercise.
-Oral question.
-Assessment rubrics.
|
|
8 | 2 |
MEASUREMENTS
|
SURFACE AREA OF A RECTANGULAR PRISM
SURFACE AREA OF TRIANGULAR BASED PRISM |
By the end of the
lesson, the learner
should be able to:
-Draw a rectangular prism. -Work out the surface area of a rectangular prism. -Work out more problems on surface area of rectangular prism. |
In pairs, Learners are guided to;
-Listing objects which are rectangular prism in shape. -Working out the surface area of a rectangular prism. -Work on more problems on the surface area of a rectangular prism. -Making various models of rectangular prism. |
-How many faces,edges and vertices do a rectangular prism have?
|
-Mentors Mathematics learners book grade 9 page 77-78.
-Boxes -Pair of scissors. -Manilla paper. -Glue -Plain papers. -Ruler. -Mentors Mathematics learners book grade 9 page 78-80. |
-Checklist
-Written exercise.
-Oral question.
-Assessment rubrics.
|
|
8 | 3 |
MEASUREMENTS
|
SURFACE AREA OF PYRAMID
Surface area of a rectangular based pyramid. |
By the end of the
lesson, the learner
should be able to:
-Draw a triangular based pyramid. -Discuss the number faces,edges and vertices in a triangular based pyramid. -Use locally available materials to model triangular based pyramid and display them in class for peer assessment. -Work out the surface area of triangular based pyramid. -Show genuine interest in calculating surface area of triangular based pyramid. |
In groups or pairs, learners are guided to;
-Draw and listing the number of faces,edges and vertices in a triangular based pyramid. -Model triangular based pyramid using locally available materials. -Work out the surface area of triangular based pyramid. -Solve more problems on surface area of triangular based prism. |
-How many faces,vertices and edges does a triangular based pyramid have?
-Which objects are triangular based pyramid in shape?
|
-Mentors Mathematics learners book grade 9 page 81-82.
-Boxes -Pair of scissors. -Manilla paper. -Glue -Plain papers. -Ruler. -Mentors Mathematics learners book grade 9 page 82-83. |
-Checklist
-Written exercise.
-Oral question.
-Assessment rubrics.
|
|
8 | 4 |
MEASUREMENTS
MEAREMENTS |
Surface area of a square based pyramid.
Area of a circle |
By the end of the
lesson, the learner
should be able to:
-Draw a square based pyramid. -Discuss the number of faces,vertices and edges. -Use locally available materials to model a square based pyramid. -Calculate the surface area of square based pyramid. -Show genuine interest in calculating surface area of a square based pyramid. |
In groups and individually, learners are guided to;
-Draw and find out number of faces,vertices and edges in a square based pyramid. -Model square based pyramid using locally available materials. -Calculate the surface area of a square based pyramid. -Work out more problems on surface area of square based pyramid. |
-How many faces,vertices and edges does a square based pyramid have?
-Which objects are square based pyramid in shape?
|
-Mentors Mathematics learners book grade 9 page 83-84.
-Boxes -Pair of scissors. -Manilla paper. -Glue -Plain papers. -Ruler. -Mentors Mathematics learners book grade 9 page 86. -Circular objects. -A pair of compass. |
-Checklist
-Written exercise.
-Oral question.
-Assessment rubrics.
|
|
8 | 5 |
MEASUREMENTS
|
Area of a sector of a circle.
Area of a segment of a circle. |
By the end of the
lesson, the learner
should be able to:
-Define the term sector of a circle. -Demonstrate how to get sector of a circle from the main circle. -Calculate the area of sector of a circle. |
In groups or pairs, learners are guided to;
-Define the sector of a circle. -Getting sector of a circle from the main circle. -Applying the formula for calculating the area of sector of a circle (θ/360º) × πr2 -Working more problems on area of sector of a circle. |
-What is a sector of a circle?
|
-Mentors Mathematics learners book grade 9 page 86.
-Pair of scissors. -Manilla paper. -Glue -Paper cut outs. -Circular objects. -A pair of compass. -Mentors Mathematics learners book grade 9 page 87. |
-Checklist
-Written exercise.
-Oral question.
-Assessment rubrics.
|
|
9 | 1 |
MEASUREMENTS
MEASUREMENT |
Surface area of a cone.
|
By the end of the
lesson, the learner
should be able to:
-Draw a cone. -Model a cone using locally available materials. -Show genuine interest in modeling a cone. |
In groups or pairs, learners are guided to;
-Identify and draw a cone in their books. -Model a cone using locally available materials. -Discuss with peers as they model cones. |
-What is a cone ?
-Which are some of items with conical shapes ?
|
-Mentors Mathematics learners book grade 9 page 91-92.
-Pair of scissors. -Manilla paper. -Glue -Paper cut outs. -Circular objects. -A pair of compass. -Mentors Mathematics learners book grade 9 page 92-93. -A Calculator. -Black board illustration. -A chart on how to calculate the surface area of a cone. |
-Checklist
-Written exercise.
-Oral question.
|
|
9 | 2 |
MEASUREMENTS
|
Area of a sphere
Surface area of a sphere. |
By the end of the
lesson, the learner
should be able to:
-Identify spherical objects and school and home and locality. -Collect,draw and discuss spherical objects. -Make models on spherical objects. |
In groups or pairs, learners are guided to;
-Identify spherical objects at homes,schools and locality. -Draw and discuss features of a spherical objects. -Make models of spherical objects and display them in class. |
-What is a sphere?
-Which are some of items with spherical shapes ?
|
-Mentors Mathematics learners book grade 9 page 94.
-Black board illustration. -Mentors Mathematics learners book grade 9 page 95. -Balls,ball bearings,oranges. |
-Written exercise.
-Oral question.
|
|
9 | 3 |
MEASUREMENTS
|
Volume of Triangular prism
Volume of Rectangular prism/cuboid. |
By the end of the
lesson, the learner
should be able to:
-Identify triangular prisms. -Discuss how to calculate the volume of triangular prism. -Work out the volume of a triangular prism. -Appreciate working out volume of a triangular prism. |
In groups or pairs, learners are guide to;
-Determine the volume of triangular prism. -Work on more problems on volume of triangular prism. -Relating on how to work out objects with triangular prisms shapes in the locality. |
-How many vertices,edges and faces does a triangular based pyramid have?
-Which objects are triangular prism in shape?
|
-Mentors Mathematics learners book grade 9 page 98-99.
-Black board illustration. -Charts with diagrams on triangular prisms. -Models of triangular prisms. -Mentors Mathematics learners book grade 9 page 100. -Charts with diagrams on rectangular prisms. -Models of rectangular prisms. |
-Written exercise.
-Oral question.
|
|
9 | 4 |
MEASUREMENTS
|
Volume of triangular based pyramids.
Volume of rectangular based pyramids. |
By the end of the
lesson, the learner
should be able to:
-Identify triangular based pyramid. -Discuss the faces, vertices and edges in a triangular based pyramid. -Work out volume of triangular based pyramids. -Appreciate working out volume of triangular based pyramids. |
-Identify triangular based pyramid.
-Discuss the faces, vertices and edges in a triangular based pyramid and note them. -Work out volume of triangular based pyramids using the demonstrated formula. -Work out more problems on volume of triangular based pyramids. |
-How many vertices, edges and faces does a rectangular based pyramid have?
-Which objects are triangular prism in shape?
|
-Mentors Mathematics learners book grade 9 page 103.
-Black board illustration. -Charts with diagrams on triangular prisms. -Models of rectangular prisms. -Mentors Mathematics learners book grade 9 page 104. |
-Written exercise.
-Oral question.
|
|
9 | 5 |
MEASUREMENTS
|
Volume of square based pyramids.
Volume of cones and spheres. |
By the end of the
lesson, the learner
should be able to:
-Identify square based pyramid. -Discuss the faces, vertices and edges in a square - based pyramid. -Work out volume of square based pyramids. -Appreciate working out volume of square-based pyramids. |
-Identify square - based pyramid.
-Discuss the faces, vertices and edges in a square - based pyramid and note them. -Work out volume of square based pyramids using the demonstrated formula. -Work out more problems on volume of square based pyramids. |
-How many vertices, edges and faces does a square- based pyramid have?
-Which objects are square based prism in shape?
|
-Mentors Mathematics learners book grade 9 page 105-106.
-Black board illustration. -Charts with diagrams on square based pyramid. -Models of square based pyramids. -Mentors Mathematics learners book grade 9 page 109. -Charts with cones and spheres. -Models cones and spheres . |
-Written exercise.
-Oral question.
-Checklists
|
|
10 | 1 |
MEASUREMENTS
|
Volume of frustrum.
|
By the end of the
lesson, the learner
should be able to:
-Identify a frustum. -Modeling different types of frustrum (conical and rectangular base . -Appreciate modeling different types of frustrum. |
-Identify how a frustrum is obtained from a cone or a pyramid.
-Work out volume of pyramids using the demonstrated formula. -Work out more problems on volume of frustrums. |
-What is a frustrum?.
-Which are some of objects in shape of a frustrum.
|
-Mentors Mathematics learners book grade 9 page 109-111.
-Black board illustration. -Manila papers. -Models on different frustrum (conical and rectangular base . -Pair of scissors. -Glue. -A ruler. -Manila papers with different diagrams on frustrums. -A calculator. |
-Written exercise.
-Oral question.
|
|
10 | 2 |
MEASUREMENTS
|
Volume of frustrum.
Mass |
By the end of the
lesson, the learner
should be able to:
-Calculate volume of frustrums with different bases. -Work on more problems on frustrum volume related questions. -Show genuine interest in working out volume of frustrums with different bases. |
-Continue working out more problems on frustrums with different bases.
-Work out on an assessment on volume of solids (mixed assessment on different solids learnt). |
-Which are some of objects in shape of a frustrum.
|
-Mentors Mathematics learners book grade 9 page 109-111.
-Black board illustration. -Manila papers. -Models different frustrum(conical and rectangular base . -Pair of scissors. -Glue. -A ruler. -Mentors Mathematics learners book grade 9 page 115-117. -Beam balance. -A chart on Different units of mass and how they are related. -Objects whose mass is to be determined. |
-Written exercise.
-Oral question.
|
|
10 | 3 |
MEASUREMENTS
|
Weight
Volume |
By the end of the
lesson, the learner
should be able to:
-Define the term weight. -Convert mass to weight (W=mg). -Work out problems on mass and weight. -Work out problems on weight. -Appreciate working out problems on weight. |
-Define the term weight.
-Relate mass and weight in real life situation. - use spring balance to determine weight of different objects. -Relate each unit of mass to Kilogram (Kg). -Work out problems on weight. |
-What is weight?
-What is used to measure weight?
-What are units of measuring weight?
|
-Mentors Mathematics learners book grade 9 page 117-119.
-Spring balance. -A chart on Different units of weight and how they are related. -Objects whose weight is to be determined. -A chart on Different units of volume and how they are related. -Objects whose volume is to be determined by formula method and displacement for the irregular objects. -100cm3 beaker. |
-Written exercise.
-Oral question.
|
|
10 | 4 |
MEASUREMENTS
|
Density
|
By the end of the
lesson, the learner
should be able to:
-Define the term density. -State different units of expressing density(g/cm3 and kg/m3. -Converting units of density from one form to the other Hint 1g/cm3=1000Kg/m3. -Work out problems on converting units of density from one form to the other. -Show genuine interest in converting units of density from one form to the other. |
-Define the term density.
-Convert units of density from one form to the other. - Work out problems on converting different forms of density. -Working out more problems on converting units of density from one form to the other. |
-What is density?
-What are different units used to measure density?
|
-Mentors Mathematics learners book grade 9 page 117-119.
-Spring balance. -A chart with different examples on converting units of density from one to the other. -Mentors Mathematics learners book grade 9 page 120-121. -A chart on worked examples on calculations involving density. |
-Written exercise.
-Oral question.
|
|
10 | 5 |
MEASUREMENTS
|
Time
Distance |
By the end of the
lesson, the learner
should be able to:
-Define time. -Relate different units of time. -Timing time taken to do various activities in class and at school(running around the field,completing a sum,a lesson,different breaks et . -Working on problems related to time. -Appreciate working out problems on time. |
-Define time.
-Highlighting different units of measuring time. -Work out more problems on time. -Model a clock face. |
-What is time?
-What are different units used to measure time?
-Which are different types of devices used to measure time?
|
-Mentors Mathematics learners book grade 9 page 123.
-A chart on worked examples on calculations involving time. -A clock face. -A stop watch. -Wrist watch. -Mentors Mathematics learners book grade 9 page 123-124. -A chart on worked examples on calculations involving distance. -A meter rule. |
-Written exercise.
-Oral question.
-Modeling a clock face.
|
|
11 | 1 |
MEASUREMENTS
|
Speed
Average Speed |
By the end of the
lesson, the learner
should be able to:
-Define the term speed. -State different units of measuring speed(m/s and Km/h) -Converting units of speed from one form to the other. -Working out different problems on speed. -Show genuine interest in calculating speed related problems. |
-Define speed.
-Highlighting different units of measuring speed. -Work out more problems on speed using the formula speed=Distance/Time. |
-What is speed?
-What is the estimate speed of an ambulance?
|
-Mentors Mathematics learners book grade 9 page 123-124.
-A chart on worked examples on calculations involving speed. -Mentors Mathematics learners book grade 9 page 126-129. -A chart on worked examples on calculations involving average speed. |
-Written exercise.
-Oral question.
|
|
11 | 2 |
MEASUREMENT
MEASUREMENTS |
Velocity.
Acceleration |
By the end of the
lesson, the learner
should be able to:
-Meaning of velocity and its units. -Difference between speed and velocity. -Work out calculations on velocity, -Recognize the difference between speed and velocity. |
In groups or pairs, learners are guided to;
-State the difference between speed and velocity. -Discuss more differences between speed and velocity. -Work on problems involving speed and velocity. |
-What is average velocity?
|
-Mentors Mathematics learners book grade 9 page 129-132.
-A chart on worked examples on calculations involving velocity. -Mentors Mathematics learners book grade 9 page 132-134. -A chart on worked examples on calculations involving acceleration. |
-Written exercise.
-Oral question.
|
|
11 | 3 |
MEASUREMENTS
|
Acceleration
Longitudes. |
By the end of the
lesson, the learner
should be able to:
-Work out different questions on acceleration. -Graphically interpreting questions on acceleration. |
-Working out more problems on acceleration.
-Interpreting the graphs and working out acceleration related questions. -Plotting graphs for accelerating bodies. |
-When is a body said to be accelerating?
|
-Mentors Mathematics learners book grade 9 page 132-134.
-A chart on worked examples on calculations involving acceleration. -Graphs on Velocity against time. -Mentors Mathematics learners book grade 9 page 135-136. -A chart on worked examples on calculations involving longitudes. -A Globe. -A pointer. -A laptop |
-Written exercise.
-Oral question.
|
|
11 | 4 |
MEASUREMENTS
|
Relating longitudes to time
Local time of places on earth along different longitudes |
By the end of the
lesson, the learner
should be able to:
-Explaining the cause of day and night. -Discuss the concept of day and night. -Relating to time on the globe. -Work out problems involving relationship between longitude and time. |
In groups or pairs, learners are guided to;
-Explain the causes of day and night. -Discuss the concept of rotation of earth and its effect. -Relate longitude to time on the globe. -Work out problems involving relationship of longitudes and time. |
-How do longitude relate to time?
|
-Mentors Mathematics learners book grade 9 page 137-138.
-A chart on worked examples on calculations involving longitudes. -A Globe. -A pointer. -Mentors Mathematics learners book grade 9 page 138-140. -Black board illustrations. |
-Written exercise.
-Oral question.
|
|
11 | 5 |
MEASUREMENTS
|
Money
|
By the end of the
lesson, the learner
should be able to:
-Identify currencies used in different countries. -Collaboratively use different print materials or digital devices to search for images of different currencies and use them to make a collage of currencies. -Discuss and identify currencies shown on the chart. -Appreciate different currencies used in different countries. |
-Identify currencies used in different countries.
-Collaboratively use different print materials or digital devices to search for images of different currencies and use them to make a collage of currencies. -Discuss and identify currencies shown on the chart. |
-How did people used to buy goods and services long time ago?
-What is currency?
|
-Mentors Mathematics learners book grade 9 page 142-143.
-Different paper cut outs on currencies. -Black board illustrations. -Paper cut outs on currencies from different countries. -Mentors Mathematics learners book grade 9 page 143-145. |
-Written exercise.
-Oral question.
|
|
12 | 1 |
MEASUREMENTS
|
Money
Money |
By the end of the
lesson, the learner
should be able to:
- Determine export and import duties charged on goods and services in real life situation. -Discuss local goods that attracts exercise duty. -Determine exercise duty on goods and services. |
- Determine export and import duties charged on goods and services in real life situation.
-Discuss local goods that attracts exercise duty. -Determine exercise duty on goods and services. -Work out problems on import duties, export duties and exercise duty on goods and services. |
-What is import duty?
-What is export duty?
-What is exercise duty?
-Who receives the import duty, export duty and exercise duty?
|
-Mentors Mathematics learners book grade 9 page 147-149.
-Different paper cut outs on currencies. -Black board illustrations. -Paper cut outs on currencies from different countries. -Mentors Mathematics learners book grade 9 page 153-155. -Receipts. |
-Written exercise.
-Oral question.
|
|
12 | 2 |
MEASUREMENTS
|
Approximation and errors.
Money |
By the end of the
lesson, the learner
should be able to:
-Approximate quantities in measurements in different situations. -Determine errors using estimations and actual measurements. -Appreciate working out problems on errors approximation. |
-Carrying out activities of measurements of different quantities such as length, area, volume, capacity and mass using arbitrary units.
-Estimate and measure different quantities using appropriate instruments. -Compare estimates and the actual measurements and determine the error. |
-How do we estimate measurements of different quantities?
|
-Mentors Mathematics learners book grade 9 page 153-155.
-Different paper cut outs on currencies. -Black board illustrations. -Receipts. -Mentors Mathematics learners book grade 9 page 158-164. |
-Written exercise.
-Oral question.
|
|
12 | 3 |
GEOMETRY
|
Co-ordinates and graphs.
Co-ordinates and graphs |
By the end of the
lesson, the learner
should be able to:
-Identify the vertical and horizontal axes. -Plotting a straight line Y=Mx+C -Plot out points on a Cartesian plane. -Show genuine interest in plotting points on a Cartesian plot. |
In groups or pairs, learners are guided to;
-Identify vertical(y-axis) and horizontal(x-axis) on the Cartesian plane. -Plot out points on a Cartesian plane to make a straight line. -Locate the points (y coordinates and x-coordinates on a Cartesian plane). |
-How do we plot on a Cartesian plane?
|
-Mentors Mathematics learners book grade 9 page 166-168.
-Different paper cut outs on currencies. -Black board illustrations. -A Cartesian plane. -A geometrical set. -A Pencil -Mentors Mathematics learners book grade 9 page 168-172. |
-Written exercise.
-Oral question.
|
|
12 | 4 |
GEOMETRY
|
Co-ordinates and graphs
|
By the end of the
lesson, the learner
should be able to:
-Plotting perpendicular lines on a Cartesian plane. -Draw perpendicular lines on a Cartesian plane. -Relate gradients of perpendicular lines. -Appreciate drawing perpendicular lines and relating their gradients. Note;Gradient for perpendicular lines are M1×M2= -1. |
-Plotting perpendicular lines on a Cartesian plane by devising table of values.
-Draw perpendicular lines on a Cartesian plane from the table of values. -Relate gradients of perpendicular lines. |
-How are gradient of perpendicular lines related?
|
-Mentors Mathematics learners book grade 9 page 172-174.
-Different paper cut outs on currencies. -Black board illustrations. -A Cartesian plane. -A geometrical set. -A Pencil |
-Written exercise.
-Oral question.
|
|
12 | 5 |
GEOMETRY
|
Scale drawing
|
By the end of the
lesson, the learner
should be able to:
Identify compass and true bearing in real life situation. -Determine the bearing of a point from another in real life situation. -Appreciate determining the bearing of a point in real life situation. |
-Draw and discuss the compass directions and relate to the compass and true north bearings.
-Discuss and locate place from different points using bearings. -Discuss and locate places using bearing and distance. -Sketch and use a scale drawing to show the position of places from given points. |
-How do we use scale drawing in real life situation?
|
-Mentors Mathematics learners book grade 9 page 180-184.
-Different paper cut outs on currencies. -Black board illustrations. -A Cartesian plane. -A geometrical set. -A Pencil |
-Written exercise.
-Oral question.
|
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