Grade 9 Mathematics (Grade 9) Scheme of Work

Wk.	Lsn	Strand	Sub-strand	Lesson Learning Outcomes	Learning Experiences	Key Inquiry Question(s)	Learning Resources	Assessment Methods	Reflection
1	1	Measurements	Area: pentagons, hexagons and surface area of prisms and pyramids.	By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Area: pentagons, hexagons and surface area of prisms and pyramids..	Learners use cut-outs, models and nets to calculate areas of regular polygons and surface areas of prisms and pyramids.	How do we determine the area of different surfaces?	KICD Grade 9 Mathematics curriculum design, number cards, charts, mathematical tables, calculators, IT devices, graph books, rulers, compasses, protractors, models, maps, globes and learner portfolios.	Assess model work, calculations, sketches and oral responses.	Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Area: pentagons, hexagons and surface area of prisms and pyramids. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.
2	1	Measurements	Area: sectors, segments, cones and spheres.	By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Area: sectors, segments, cones and spheres..	Learners draw sectors and segments, open cones into nets and use formulae to determine surface area of cones and spheres.	How do surface-area formulae help us solve real-life problems?	KICD Grade 9 Mathematics curriculum design, number cards, charts, mathematical tables, calculators, IT devices, graph books, rulers, compasses, protractors, models, maps, globes and learner portfolios.	Use area exercises, diagrams, peer correction and exit ticket.	Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Area: sectors, segments, cones and spheres. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.
3	1	Measurements	Volume of Solids: prisms, pyramids, cones, frustums and spheres.	By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Volume of Solids: prisms, pyramids, cones, frustums and spheres..	Learners collect containers and objects, identify solid models and use formulae to calculate volume of different solids.	How do we determine the volume of different solids? How do we use the volume of solids in real life situations?	KICD Grade 9 Mathematics curriculum design, number cards, charts, mathematical tables, calculators, IT devices, graph books, rulers, compasses, protractors, models, maps, globes and learner portfolios.	Assess volume worksheet, model identification, practical activity and teacher observation.	Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Volume of Solids: prisms, pyramids, cones, frustums and spheres. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.
4	1	Measurements	Mass, Volume, Weight and Density: mass conversion and weighing.	By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Mass, Volume, Weight and Density: mass conversion and weighing..	Learners discuss weighing tools, weigh objects, convert mass units and relate weighing to consumer awareness.	How do you weigh materials and objects?	KICD Grade 9 Mathematics curriculum design, number cards, charts, mathematical tables, calculators, IT devices, graph books, rulers, compasses, protractors, models, maps, globes and learner portfolios.	Use weighing activity, conversion exercise, observation checklist and oral questioning.	Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Mass, Volume, Weight and Density: mass conversion and weighing. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.
5	1	Measurements	Mass, Volume, Weight and Density: density and real-life application.	By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Mass, Volume, Weight and Density: density and real-life application..	Learners relate mass and volume to density, find density of materials and discuss application in daily life.	How are mass, volume and density related?	KICD Grade 9 Mathematics curriculum design, number cards, charts, mathematical tables, calculators, IT devices, graph books, rulers, compasses, protractors, models, maps, globes and learner portfolios.	Assess density calculations, experiment notes and learner explanation.	Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Mass, Volume, Weight and Density: density and real-life application. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.
6	1	Measurements	Time, Distance and Speed: speed, average speed, velocity and acceleration.	By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Time, Distance and Speed: speed, average speed, velocity and acceleration..	Learners measure distance and time in school activities, calculate speed and acceleration and compare speed with velocity.	How do we observe speed in daily activities?	KICD Grade 9 Mathematics curriculum design, number cards, charts, mathematical tables, calculators, IT devices, graph books, rulers, compasses, protractors, models, maps, globes and learner portfolios.	Use track-event data, calculations, group discussion and short quiz.	Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Time, Distance and Speed: speed, average speed, velocity and acceleration. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.
7	1	Measurements	Time, Distance and Speed: longitudes and local time.	By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Time, Distance and Speed: longitudes and local time..	Learners use maps and globes to identify longitudes, relate longitudes to time and calculate local time differences.	Why does time vary in different places of the world?	KICD Grade 9 Mathematics curriculum design, number cards, charts, mathematical tables, calculators, IT devices, graph books, rulers, compasses, protractors, models, maps, globes and learner portfolios.	Assess map work, time-zone calculations and oral responses.	Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Time, Distance and Speed: longitudes and local time. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.
8	1	Measurements	Money: currencies and currency exchange.	By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Money: currencies and currency exchange..	Learners identify currencies, compile a collage, find exchange rates and convert Kenya shillings to other currencies and back.	Why do we change currencies from one form to another?	KICD Grade 9 Mathematics curriculum design, number cards, charts, mathematical tables, calculators, IT devices, graph books, rulers, compasses, protractors, models, maps, globes and learner portfolios.	Assess currency conversion, collage, IT task and written responses.	Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Money: currencies and currency exchange. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.
9	1	Measurements	Money: import duty, excise duty and value added tax.	By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Money: import duty, excise duty and value added tax..	Learners use shopping receipts and examples to determine VAT, import duty and excise duty on goods and services.	What are the types of taxes the government levy on its citizens?	KICD Grade 9 Mathematics curriculum design, number cards, charts, mathematical tables, calculators, IT devices, graph books, rulers, compasses, protractors, models, maps, globes and learner portfolios.	Use tax calculations, receipt analysis and oral questioning.	Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Money: import duty, excise duty and value added tax. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.
10	1	Measurements	Approximations and Errors: estimates, actual measurements and errors.	By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Approximations and Errors: estimates, actual measurements and errors..	Learners estimate and measure length, area, volume, capacity and mass, compare estimates with actual measurements and determine errors.	How do we estimate measurements of different quantities?	KICD Grade 9 Mathematics curriculum design, number cards, charts, mathematical tables, calculators, IT devices, graph books, rulers, compasses, protractors, models, maps, globes and learner portfolios.	Assess measurement table, error calculations and practical checklist.	Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Approximations and Errors: estimates, actual measurements and errors. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.
11	1	Measurements	Approximations and Errors: percentage error and application.	By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Approximations and Errors: percentage error and application..	Learners work out percentage errors from estimated and actual measurements and discuss where approximations are useful.	Why are approximations useful in measurements?	KICD Grade 9 Mathematics curriculum design, number cards, charts, mathematical tables, calculators, IT devices, graph books, rulers, compasses, protractors, models, maps, globes and learner portfolios.	Use percentage-error exercise, real-life scenarios and corrections.	Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Approximations and Errors: percentage error and application. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.
12	1	Mathematics Skills	Integrated measurement task.	By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Integrated measurement task..	Learners solve a mixed task involving area, volume, density, speed, time, money and approximation using appropriate formulae and tools.	How can measurement skills help us make accurate decisions?	KICD Grade 9 Mathematics curriculum design, number cards, charts, mathematical tables, calculators, IT devices, graph books, rulers, compasses, protractors, models, maps, globes and learner portfolios.	Assess integrated rubric, portfolio evidence and remediation notes.	Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Integrated measurement task. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.
13	1	Mathematics Skills	Term 2 review and assessment on measurements.	By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Term 2 review and assessment on measurements..	Learners revise all measurement sub-strands, complete assessment, correct work and set targets for geometry and data handling.	Which measurement ideas need more practice?	KICD Grade 9 Mathematics curriculum design, number cards, charts, mathematical tables, calculators, IT devices, graph books, rulers, compasses, protractors, models, maps, globes and learner portfolios.	File marks, corrected work, learner support notes and teacher reflection.	Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Term 2 review and assessment on measurements. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

Wk.

Lsn

Strand

Sub-strand

Lesson Learning Outcomes

Learning Experiences

Key Inquiry Question(s)

Learning Resources

Assessment Methods

Reflection

Measurements

Area: pentagons, hexagons and surface area of prisms and pyramids.

By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Area: pentagons, hexagons and surface area of prisms and pyramids..

Learners use cut-outs, models and nets to calculate areas of regular polygons and surface areas of prisms and pyramids.

How do we determine the area of different surfaces?

KICD Grade 9 Mathematics curriculum design, number cards, charts, mathematical tables, calculators, IT devices, graph books, rulers, compasses, protractors, models, maps, globes and learner portfolios.

Assess model work, calculations, sketches and oral responses.

Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Area: pentagons, hexagons and surface area of prisms and pyramids. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

Measurements

Area: sectors, segments, cones and spheres.

By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Area: sectors, segments, cones and spheres..

Learners draw sectors and segments, open cones into nets and use formulae to determine surface area of cones and spheres.

How do surface-area formulae help us solve real-life problems?

Use area exercises, diagrams, peer correction and exit ticket.

Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Area: sectors, segments, cones and spheres. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

Measurements

Volume of Solids: prisms, pyramids, cones, frustums and spheres.

By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Volume of Solids: prisms, pyramids, cones, frustums and spheres..

Learners collect containers and objects, identify solid models and use formulae to calculate volume of different solids.

How do we determine the volume of different solids? How do we use the volume of solids in real life situations?

Assess volume worksheet, model identification, practical activity and teacher observation.

Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Volume of Solids: prisms, pyramids, cones, frustums and spheres. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

Measurements

Mass, Volume, Weight and Density: mass conversion and weighing.

By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Mass, Volume, Weight and Density: mass conversion and weighing..

Learners discuss weighing tools, weigh objects, convert mass units and relate weighing to consumer awareness.

How do you weigh materials and objects?

Use weighing activity, conversion exercise, observation checklist and oral questioning.

Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Mass, Volume, Weight and Density: mass conversion and weighing. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

Measurements

Mass, Volume, Weight and Density: density and real-life application.

Learners relate mass and volume to density, find density of materials and discuss application in daily life.

How are mass, volume and density related?

Assess density calculations, experiment notes and learner explanation.

Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Mass, Volume, Weight and Density: density and real-life application. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

Measurements

Time, Distance and Speed: speed, average speed, velocity and acceleration.

By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Time, Distance and Speed: speed, average speed, velocity and acceleration..

Learners measure distance and time in school activities, calculate speed and acceleration and compare speed with velocity.

How do we observe speed in daily activities?

Use track-event data, calculations, group discussion and short quiz.

Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Time, Distance and Speed: speed, average speed, velocity and acceleration. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

Measurements

Time, Distance and Speed: longitudes and local time.

By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Time, Distance and Speed: longitudes and local time..

Learners use maps and globes to identify longitudes, relate longitudes to time and calculate local time differences.

Why does time vary in different places of the world?

Assess map work, time-zone calculations and oral responses.

Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Time, Distance and Speed: longitudes and local time. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

Measurements

Money: currencies and currency exchange.

By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Money: currencies and currency exchange..

Learners identify currencies, compile a collage, find exchange rates and convert Kenya shillings to other currencies and back.

Why do we change currencies from one form to another?

Assess currency conversion, collage, IT task and written responses.

Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Money: currencies and currency exchange. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

Measurements

Money: import duty, excise duty and value added tax.

By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Money: import duty, excise duty and value added tax..

Learners use shopping receipts and examples to determine VAT, import duty and excise duty on goods and services.

What are the types of taxes the government levy on its citizens?

Use tax calculations, receipt analysis and oral questioning.

Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Money: import duty, excise duty and value added tax. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

Measurements

Approximations and Errors: estimates, actual measurements and errors.

By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Approximations and Errors: estimates, actual measurements and errors..

Learners estimate and measure length, area, volume, capacity and mass, compare estimates with actual measurements and determine errors.

How do we estimate measurements of different quantities?

Assess measurement table, error calculations and practical checklist.

Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Approximations and Errors: estimates, actual measurements and errors. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

Measurements

Approximations and Errors: percentage error and application.

By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Approximations and Errors: percentage error and application..

Learners work out percentage errors from estimated and actual measurements and discuss where approximations are useful.

Why are approximations useful in measurements?

Use percentage-error exercise, real-life scenarios and corrections.

Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Approximations and Errors: percentage error and application. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

Mathematics Skills

Integrated measurement task.

By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Integrated measurement task..

Learners solve a mixed task involving area, volume, density, speed, time, money and approximation using appropriate formulae and tools.

How can measurement skills help us make accurate decisions?

Assess integrated rubric, portfolio evidence and remediation notes.

Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Integrated measurement task. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

Mathematics Skills

Term 2 review and assessment on measurements.

By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Term 2 review and assessment on measurements..

Learners revise all measurement sub-strands, complete assessment, correct work and set targets for geometry and data handling.

Which measurement ideas need more practice?

File marks, corrected work, learner support notes and teacher reflection.

Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Term 2 review and assessment on measurements. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

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Week 1 , Lesson 1

Strand: Measurements
Sub-strand: Area: pentagons, hexagons and surface area of prisms and pyramids.
Learning Outcome: By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Area: pentagons, hexagons and surface area of prisms and pyramids..
Reflection: Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Area: pentagons, hexagons and surface area of prisms and pyramids. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

Week 2 , Lesson 1

Strand: Measurements
Sub-strand: Area: sectors, segments, cones and spheres.
Learning Outcome: By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Area: sectors, segments, cones and spheres..
Reflection: Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Area: sectors, segments, cones and spheres. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.

Week 3 , Lesson 1

Strand: Measurements
Sub-strand: Volume of Solids: prisms, pyramids, cones, frustums and spheres.
Learning Outcome: By the end of the lesson, the learner should be able to demonstrate Grade 9 Mathematics (Grade 9) knowledge, skills, values and reflection related to Volume of Solids: prisms, pyramids, cones, frustums and spheres..
Reflection: Most learners were able to measure length, mass, time, volume or temperature using appropriate instruments and record results in tables with correct SI units. Support will focus on learners who need more practice on Volume of Solids: prisms, pyramids, cones, frustums and spheres. Enrichment will give faster learners an extended task or real-life application using the available lesson resources. Next step: plan remediation or proceed based on the observed learner evidence.