Lesson Plans

Basic Mathematics

O-Level · Form I–IV · TIE / NECTA aligned

Form I · IDDR

Numbers (Base Ten)

Class: Form I
Time: 80 minutes (double period)
Periods: 1
No. of Students: ……
Main Competence: Use whole numbers and the four basic operations to solve problems in everyday life.
Specific Competence: Read, write and identify the place value of numbers in base ten.
Sub-topic: Key concepts and applications
Teaching / Learning Resources: Chalkboard, textbook, charts, real objects and relevant digital content.
References: Basic Mathematics syllabus (TIE); approved Basic Mathematics textbook.

Stage (IDDR)	Time	Teacher’s Activities	Students’ Activities	Assessment
Introduction Utangulizi	10 min	Reviews the previous lesson and uses guiding questions and a real-life scenario to introduce Numbers (Base Ten).	Respond to questions and relate the scenario to their experience.	Oral questions to gauge prior knowledge.
Competence Development Kuendeleza umahiri	30 min	Facilitates group activities and demonstrations through which learners build understanding of Numbers (Base Ten).	Work in groups, investigate, take notes and discuss findings.	Observation of participation; checking group work.
Design / Application Kubuni	25 min	Sets a real-world task requiring learners to apply Numbers (Base Ten) and guides them as they work.	Apply the concept to solve the task and present their solutions.	Assessment of the task/product against criteria.
Realisation Kutathmini	15 min	Summarises key points, gives feedback and a short exercise/assignment.	Reflect, answer the exercise and note the assignment.	Written exercise; self- and peer-assessment.

Teacher's Self-Evaluation: ………………………………………………………………………………………………

Form I · IDDR

Fractions, Decimals & Percentage

Class: Form I
Time: 80 minutes (double period)
Periods: 1
No. of Students: ……
Main Competence: Apply fractions, decimals and percentages to solve problems involving parts of quantities and money.
Specific Competence: Simplify, compare and perform operations on fractions and decimals.
Sub-topic: Key concepts and applications
Teaching / Learning Resources: Chalkboard, textbook, charts, real objects and relevant digital content.
References: Basic Mathematics syllabus (TIE); approved Basic Mathematics textbook.

Stage (IDDR)	Time	Teacher’s Activities	Students’ Activities	Assessment
Introduction Utangulizi	10 min	Reviews the previous lesson and uses guiding questions and a real-life scenario to introduce Fractions, Decimals & Percentage.	Respond to questions and relate the scenario to their experience.	Oral questions to gauge prior knowledge.
Competence Development Kuendeleza umahiri	30 min	Facilitates group activities and demonstrations through which learners build understanding of Fractions, Decimals & Percentage.	Work in groups, investigate, take notes and discuss findings.	Observation of participation; checking group work.
Design / Application Kubuni	25 min	Sets a real-world task requiring learners to apply Fractions, Decimals & Percentage and guides them as they work.	Apply the concept to solve the task and present their solutions.	Assessment of the task/product against criteria.
Realisation Kutathmini	15 min	Summarises key points, gives feedback and a short exercise/assignment.	Reflect, answer the exercise and note the assignment.	Written exercise; self- and peer-assessment.

Teacher's Self-Evaluation: ………………………………………………………………………………………………

Form II · IDDR

Exponents & Radicals

Class: Form II
Time: 80 minutes (double period)
Periods: 1
No. of Students: ……
Main Competence: Use the laws of exponents and radicals to simplify expressions and solve problems.
Specific Competence: Apply the laws of indices to simplify powers.
Sub-topic: Key concepts and applications
Teaching / Learning Resources: Chalkboard, textbook, charts, real objects and relevant digital content.
References: Basic Mathematics syllabus (TIE); approved Basic Mathematics textbook.

Stage (IDDR)	Time	Teacher’s Activities	Students’ Activities	Assessment
Introduction Utangulizi	10 min	Reviews the previous lesson and uses guiding questions and a real-life scenario to introduce Exponents & Radicals.	Respond to questions and relate the scenario to their experience.	Oral questions to gauge prior knowledge.
Competence Development Kuendeleza umahiri	30 min	Facilitates group activities and demonstrations through which learners build understanding of Exponents & Radicals.	Work in groups, investigate, take notes and discuss findings.	Observation of participation; checking group work.
Design / Application Kubuni	25 min	Sets a real-world task requiring learners to apply Exponents & Radicals and guides them as they work.	Apply the concept to solve the task and present their solutions.	Assessment of the task/product against criteria.
Realisation Kutathmini	15 min	Summarises key points, gives feedback and a short exercise/assignment.	Reflect, answer the exercise and note the assignment.	Written exercise; self- and peer-assessment.

Teacher's Self-Evaluation: ………………………………………………………………………………………………

Form II · IDDR

Algebra

Class: Form II
Time: 80 minutes (double period)
Periods: 1
No. of Students: ……
Main Competence: Manipulate algebraic expressions and solve linear equations and inequalities.
Specific Competence: Expand, factorise and simplify algebraic expressions.
Sub-topic: Key concepts and applications
Teaching / Learning Resources: Chalkboard, textbook, charts, real objects and relevant digital content.
References: Basic Mathematics syllabus (TIE); approved Basic Mathematics textbook.

Stage (IDDR)	Time	Teacher’s Activities	Students’ Activities	Assessment
Introduction Utangulizi	10 min	Reviews the previous lesson and uses guiding questions and a real-life scenario to introduce Algebra.	Respond to questions and relate the scenario to their experience.	Oral questions to gauge prior knowledge.
Competence Development Kuendeleza umahiri	30 min	Facilitates group activities and demonstrations through which learners build understanding of Algebra.	Work in groups, investigate, take notes and discuss findings.	Observation of participation; checking group work.
Design / Application Kubuni	25 min	Sets a real-world task requiring learners to apply Algebra and guides them as they work.	Apply the concept to solve the task and present their solutions.	Assessment of the task/product against criteria.
Realisation Kutathmini	15 min	Summarises key points, gives feedback and a short exercise/assignment.	Reflect, answer the exercise and note the assignment.	Written exercise; self- and peer-assessment.

Teacher's Self-Evaluation: ………………………………………………………………………………………………

Form III · IDDR

Relations

Class: Form III
Time: 80 minutes (double period)
Periods: 1
No. of Students: ……
Main Competence: Use relations to describe how members of two sets are connected.
Specific Competence: Represent relations by arrow diagrams and graphs.
Sub-topic: Key concepts and applications
Teaching / Learning Resources: Chalkboard, textbook, charts, real objects and relevant digital content.
References: Basic Mathematics syllabus (TIE); approved Basic Mathematics textbook.

Stage (IDDR)	Time	Teacher’s Activities	Students’ Activities	Assessment
Introduction Utangulizi	10 min	Reviews the previous lesson and uses guiding questions and a real-life scenario to introduce Relations.	Respond to questions and relate the scenario to their experience.	Oral questions to gauge prior knowledge.
Competence Development Kuendeleza umahiri	30 min	Facilitates group activities and demonstrations through which learners build understanding of Relations.	Work in groups, investigate, take notes and discuss findings.	Observation of participation; checking group work.
Design / Application Kubuni	25 min	Sets a real-world task requiring learners to apply Relations and guides them as they work.	Apply the concept to solve the task and present their solutions.	Assessment of the task/product against criteria.
Realisation Kutathmini	15 min	Summarises key points, gives feedback and a short exercise/assignment.	Reflect, answer the exercise and note the assignment.	Written exercise; self- and peer-assessment.

Teacher's Self-Evaluation: ………………………………………………………………………………………………

Form III · IDDR

Functions

Class: Form III
Time: 80 minutes (double period)
Periods: 1
No. of Students: ……
Main Competence: Use functions to model and solve real-life problems.
Specific Competence: Distinguish a function from a general relation.
Sub-topic: Key concepts and applications
Teaching / Learning Resources: Chalkboard, textbook, charts, real objects and relevant digital content.
References: Basic Mathematics syllabus (TIE); approved Basic Mathematics textbook.

Stage (IDDR)	Time	Teacher’s Activities	Students’ Activities	Assessment
Introduction Utangulizi	10 min	Reviews the previous lesson and uses guiding questions and a real-life scenario to introduce Functions.	Respond to questions and relate the scenario to their experience.	Oral questions to gauge prior knowledge.
Competence Development Kuendeleza umahiri	30 min	Facilitates group activities and demonstrations through which learners build understanding of Functions.	Work in groups, investigate, take notes and discuss findings.	Observation of participation; checking group work.
Design / Application Kubuni	25 min	Sets a real-world task requiring learners to apply Functions and guides them as they work.	Apply the concept to solve the task and present their solutions.	Assessment of the task/product against criteria.
Realisation Kutathmini	15 min	Summarises key points, gives feedback and a short exercise/assignment.	Reflect, answer the exercise and note the assignment.	Written exercise; self- and peer-assessment.

Teacher's Self-Evaluation: ………………………………………………………………………………………………

Form IV · IDDR

Coordinate Geometry

Class: Form IV
Time: 80 minutes (double period)
Periods: 1
No. of Students: ……
Main Competence: Use coordinate geometry to study lines and their properties.
Specific Competence: Find the distance, midpoint and gradient between two points.
Sub-topic: Key concepts and applications
Teaching / Learning Resources: Chalkboard, textbook, charts, real objects and relevant digital content.
References: Basic Mathematics syllabus (TIE); approved Basic Mathematics textbook.

Stage (IDDR)	Time	Teacher’s Activities	Students’ Activities	Assessment
Introduction Utangulizi	10 min	Reviews the previous lesson and uses guiding questions and a real-life scenario to introduce Coordinate Geometry.	Respond to questions and relate the scenario to their experience.	Oral questions to gauge prior knowledge.
Competence Development Kuendeleza umahiri	30 min	Facilitates group activities and demonstrations through which learners build understanding of Coordinate Geometry.	Work in groups, investigate, take notes and discuss findings.	Observation of participation; checking group work.
Design / Application Kubuni	25 min	Sets a real-world task requiring learners to apply Coordinate Geometry and guides them as they work.	Apply the concept to solve the task and present their solutions.	Assessment of the task/product against criteria.
Realisation Kutathmini	15 min	Summarises key points, gives feedback and a short exercise/assignment.	Reflect, answer the exercise and note the assignment.	Written exercise; self- and peer-assessment.

Teacher's Self-Evaluation: ………………………………………………………………………………………………

Form IV · IDDR

Areas & Perimeters

Class: Form IV
Time: 80 minutes (double period)
Periods: 1
No. of Students: ……
Main Competence: Calculate areas and perimeters of compound figures and apply them to real problems.
Specific Competence: Find areas of combined plane figures.
Sub-topic: Key concepts and applications
Teaching / Learning Resources: Chalkboard, textbook, charts, real objects and relevant digital content.
References: Basic Mathematics syllabus (TIE); approved Basic Mathematics textbook.

Stage (IDDR)	Time	Teacher’s Activities	Students’ Activities	Assessment
Introduction Utangulizi	10 min	Reviews the previous lesson and uses guiding questions and a real-life scenario to introduce Areas & Perimeters.	Respond to questions and relate the scenario to their experience.	Oral questions to gauge prior knowledge.
Competence Development Kuendeleza umahiri	30 min	Facilitates group activities and demonstrations through which learners build understanding of Areas & Perimeters.	Work in groups, investigate, take notes and discuss findings.	Observation of participation; checking group work.
Design / Application Kubuni	25 min	Sets a real-world task requiring learners to apply Areas & Perimeters and guides them as they work.	Apply the concept to solve the task and present their solutions.	Assessment of the task/product against criteria.
Realisation Kutathmini	15 min	Summarises key points, gives feedback and a short exercise/assignment.	Reflect, answer the exercise and note the assignment.	Written exercise; self- and peer-assessment.

Teacher's Self-Evaluation: ………………………………………………………………………………………………

← Back to Basic Mathematics