MEASUREMENTS

AREA OF A PENTAGON

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.

-Checklist -Written exercise. -Oral question. -Assessment rubrics.

MEASUREMENTS

AREA OF A HEXAGON
SURFACE AREA OF A RECTANGULAR PRISM
SURFACE AREA OF TRIANGULAR BASED PRISM

By the end of the lesson, the learner should be able to:

-Identify and state number of sides in a Haxagon.
-Discuss the properties of a hexagon.
-Use triangles to work out area of a hexagon.
-Solve more problems involving area of hexagon.
-Develop genuine interest in calculating the area of Hexagon.

In groups and individually, learners are guided to;
-Identify and recognizing the number of sides in a hexagon.
-Naming different objects with hexagonal shapes.
-Working the area of different Hexagons using formula (summing up areas of various triangles).
-Work out more problems on area of hexagons.
-Make paper cut outs of hexagons and display them in class relating them with real day to day objects.

-How many sides do a Hexagon have? -Which objects have Hexagonal shape?

-Mentors Mathematics learners book grade 9 page 74-76.
-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 77-78.
-Boxes
-Glue
-Plain papers.
-Ruler.
-Mentors Mathematics learners book grade 9 page 78-80.

-Checklist -Written exercise. -Oral question. -Assessment rubrics.

MEASUREMENTS

SURFACE AREA OF PYRAMID
Surface area of a rectangular based pyramid.
Surface area of a square 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.
-Mentors Mathematics learners book grade 9 page 83-84.

-Checklist -Written exercise. -Oral question. -Assessment rubrics.

MEAREMENTS
MEASUREMENTS
MEASUREMENTS

Area of a circle
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 a circle.
-Work out area of a circle using the formula A = π r².
-Show genuine interest in calculating the area of a circle.

In groups or pairs, learners are guided to;
-Define a circle.
-Relate the relationship between diameter and radius of a circle.
-Calculate the area of different circles.
-Work out more problems on area of a circle using the learnt formula.

-Mentors Mathematics learners book grade 9 page 86.
-Pair of scissors.
-Manilla paper.
-Glue
-Plain papers.
-Circular objects.
-A pair of compass.
-Paper cut outs.
-Mentors Mathematics learners book grade 9 page 87.

-Checklist -Written exercise. -Oral question. -Assessment rubrics.

MEASUREMENTS
MEASUREMENT
MEASUREMENTS

Surface area of a cone.
Area of a sphere

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.
-Mentors Mathematics learners book grade 9 page 94.

-Checklist -Written exercise. -Oral question.

MEASUREMENTS

Surface area of a sphere.
Volume of Triangular prism
Volume of Rectangular prism/cuboid.

By the end of the lesson, the learner should be able to:
- Determine the surface area of a sphere using the formula A = 4π r²
-Work out problems on surface area of a sphere.
-Appreciate working out surface area of a sphere.

In group and individually, learners are guided;
-Determine the surface area of a sphere using the formula A = 4πr²
-Work out problems on surface area of a sphere.
-Working out more problems on the surface area of a sphere.
-Relate more real spherical objects with the formula for calculating the surface area of a sphere.

-What is a sphere? -Which are some of items with spherical shapes ?

-Mentors Mathematics learners book grade 9 page 95.
-Black board illustration.
-Balls,ball bearings,oranges.
-Mentors Mathematics learners book grade 9 page 98-99.
-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.

MEASUREMENTS

Volume of triangular based pyramids.
Volume of rectangular based pyramids.
Volume of square 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.
-Mentors Mathematics learners book grade 9 page 105-106.
-Charts with diagrams on square based pyramid.
-Models of square based pyramids.

-Written exercise. -Oral question.

MEASUREMENTS

Volume of cones and spheres.
Volume of frustrum.
Volume of frustrum.

By the end of the lesson, the learner should be able to:
-Identify cones and spheres based pyramid.
-Discuss the faces, vertices and edges in a cone.
-Work out volume of cones and spheres.
-Appreciate working out volume of cones and spheres.

-Identify cones and spheres.
-Discuss the faces, vertices and edges in a cone and note them.
Work out volume of cones and spheres
-for cone
V = ¹/₃ πr²h
-for sphere
V = ⁴/₃ πr²h
- using the demonstrated formula.
-Work out more problems on volume of triangular based pyramids.

-How many vertices, edges and faces does a cone have? -Which objects are spherical in shape in shape?

-Mentors Mathematics learners book grade 9 page 109.
-Black board illustration.
-Charts with cones and spheres.
-Models cones and spheres .
-Mentors Mathematics learners book grade 9 page 109-111.
-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.

MEASUREMENTS

Volume of frustrum.
Mass
Weight
Volume

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.
-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.

MEASUREMENTS

Density
Time

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.
-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.

-Written exercise. -Oral question.

MEASUREMENTS

Distance
Speed
Average Speed

By the end of the lesson, the learner should be able to:
-Define Distance.
-Relate different units of distance.
-Estimating and measuring distance between various objects and buildings in school.
-Working on problems related to distance.
-Show genuine interest working out problems on distance.

-Define distance.
-Highlighting different units of measuring distance.
-Work out more problems on distance.
-Measuring distance using a meter ruler.

-What is distance? -What is the estimate distance from your class to staff room? -Which is the largest unit of measuring distance?

-Mentors Mathematics learners book grade 9 page 123-124.
-A chart on worked examples on calculations involving distance.
-A meter rule.
-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. -Measuring various distance in school and at home.

MEASUREMENT
MEASUREMENTS
MEASUREMENTS

Velocity.
Acceleration
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.
-Graphs on Velocity against time.

-Written exercise. -Oral question.

MEASUREMENTS

Longitudes.
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:
-Identify the longitudes on the globe.
-Relate longitude to the time on the globe.
-Search from digital devices on more information about longitudes.
-Work out problems involving longitudes.
-Appreciate identifying longitudes from the globe.

In groups or pairs, learners are guided to;
-Identify longitudes on the globe.
-Relating longitudes to the time on the globe.
-Search from internet on more information on longitudes.
-Work out problems on longitudes.

-What is a longitude?

-Mentors Mathematics learners book grade 9 page 135-136.
-A chart on worked examples on calculations involving longitudes.
-A Globe.
-A pointer.
-A laptop
-Mentors Mathematics learners book grade 9 page 137-138.
-Mentors Mathematics learners book grade 9 page 138-140.
-Black board illustrations.

-Written exercise. -Oral question.

MEASUREMENTS

Money
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.
-Mentors Mathematics learners book grade 9 page 147-149.

-Written exercise. -Oral question.

MEASUREMENTS

Money
Approximation and errors.
Money

By the end of the lesson, the learner should be able to:
-Define value added tax (VAT).
-Determine value added tax charged from local goods.
-Discuss the importance of value added tax.
-Appreciate the importance of importance tax in ones country.

-Define value added tax (VAT).
-Determine value added tax charged from local goods.
-Discuss the importance of value added tax.
-Obtain receipts from shopping or other resources to discuss and work out Value added tax(VAT).
-Search from digital devices and work out VAT of imported goods.

-What is the function of Value added tax? -Who collects VAT?

-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.

GEOMETRY

Co-ordinates and graphs.
Co-ordinates and graphs
Co-ordinates and graphs
Scale drawing

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.
-Mentors Mathematics learners book grade 9 page 172-174.
-Mentors Mathematics learners book grade 9 page 180-184.

-Written exercise. -Oral question.