Learning Area / Learning Area Details

Mathematics - Grade 10- Term 1

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    By - Joseph

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Learning Area Requirements

1. Learning Area Requirements 

For effective implementation of Grade 10 Mathematics, the following learning area requirements should be met:

A. Learner Competencies

Learners should be able to:

  • Apply mathematical concepts in real-life situations.

  • Demonstrate logical reasoning, critical thinking, and problem-solving skills.

  • Use mathematical tools, digital devices, and representations to explore concepts.

  • Communicate mathematical ideas clearly using appropriate formats (symbols, diagrams, graphs, tables).

  • Work collaboratively during group tasks and projects.

  • Reflect on mathematical processes and correct errors.

B. Teaching Expectations

Teachers should:

  • Guide learners through discovery-based and inquiry-based learning.

  • Provide real-life tasks that relate mathematics to everyday contexts.

  • Integrate digital tools (calculators, math apps, simulations).

  • Scaffold learning from simple to complex skills.

  • Use continuous assessment tools (quizzes, observations, portfolios, exercises).

C. Learning Environment Requirements

The environment should:

  • Allow for group work, discussions, and practical exploration.

  • Support safe and effective use of mathematical instruments and digital resources.

  • Encourage creativity, curiosity, and active participation.

Learning Area Description

2. Learning Area Description

The Grade 10 Mathematics learning area focuses on developing learners’ numeracy, logical reasoning, and analytical thinking skills. It equips learners with the ability to:

  • Understand and apply core mathematical concepts such as algebra, geometry, trigonometry, measurement, statistics, and number theory.

  • Solve real-life and abstract mathematical problems through structured reasoning.

  • Interpret, analyze, and represent data using mathematical tools.

  • Explore patterns, relationships, and mathematical structures.

  • Use appropriate mathematical language, symbols, and models to communicate ideas.

Learning Area Outcomes

3. Key Learning Resources

A. Physical Resources

  • Mathematical sets (rulers, protractors, compasses, set squares)

  • Calculators (scientific calculator recommended)

  • Graph books

  • Textbooks based on Curriculum Design Mathematics Grade 10

  • Charts and mathematical posters

  • Geometrical models (3D shapes)

  • Classroom board and markers

B. Digital Resources

  • Computers/tablets

  • Mathematics simulation apps (e.g., GeoGebra, Desmos)

  • Online videos demonstrating mathematical procedures

  • Projectors for demonstrations

  • Digital quizzes/forms for assessment

Learning Area Curriculum

  • 6 chapters
  • 80 lectures
  • 26 quizzes
  • N/A total length
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1 Real Numbers-Reciprocal of Real Numbers
10 Min

This lesson introduces Grade 10 learners to reciprocals of real numbers and how to compute them through division. It builds understanding of how real numbers operate, how reciprocals relate to multiplication and division, and how they are applied in real-life situations such as scaling, rates, physics, business calculations, and proportional reasoning.


2 Maths -Grade 10-Term 1-Introduction to Indices (Index Form and Laws of Indices) [Quiz]
16 Min


3 Introduction to Indices (Index Form and Laws of Indices)
40 Min

This lesson introduces learners to indices by expressing numbers in index form and deriving the basic laws of indices using factors, laying a foundation for further work in logarithms.


4 Finding the Reciprocal of Real Numbers
10 Min

This video demonstrates step-by-step methods of finding reciprocals of integers, fractions, and decimals, with practical examples suitable for Grade 10 Mathematics learners


5 Finding the Reciprocal of Real Numbers
40 Min

This lesson builds learners’ understanding of reciprocals of real numbers by focusing on methods of finding and applying reciprocals in mathematical computations and real-life situations.


6 Maths -Grade 10-Term 1-Reciprocal of Real Numbers [Quiz]
20 Min


7 Real Numbers -Reciprocal of Real Numbers
40 Min

This lesson introduces Grade 10 learners to reciprocals of real numbers and how to compute them through division. It builds understanding of how real numbers operate, how reciprocals relate to multiplication and division, and how they are applied in real-life situations such as scaling, rates, physics, business calculations, and proportional reasoning.


8 Maths -Grade 10-Term 1-Rational Numbers (Examples & Classification) [Quiz]
12 Min


9 What Are Rational Numbers? (Fractions, Decimals & Integers)
40 Min

This lesson explores rational numbers in depth, focusing on identifying examples, writing rational numbers in different forms, and distinguishing them from other real numbers. Learners practice converting decimals to fractions, classifying numbers, and identifying rational numbers in everyday life. The lesson uses practical examples and activities based on the CBC approach.


10 What Are Rational Numbers? (Fractions, Decimals & Integers)
10 Min

This video simplifies rational numbers using everyday examples, covering fractions, decimals, integers, and repeating decimal conversions. Suitable for Grade 10 learners, it includes examples, explanations, and quick exercises that reinforce classification skills.


11 Maths -Grade 10-Term 1-Rational and Irrational Numbers [Quiz]
24 Min


12 Real Numbers-Rational and Irrational Numbers
20 Min

This educational video explains the difference between rational and irrational numbers using real-life examples and clear visual demonstrations. It is ideal for Grade 10 learners and helps reinforce classification skills using number lines, fractions, and decimal properties.


13 Real Numbers-Rational and Irrational Numbers
40 Min

This lesson introduces Grade 10 learners to rational and irrational numbers, focusing on their identification, classification, and real-life applications. Learners analyze examples, explore number patterns, and classify real numbers into rational and irrational categories through activities and discussions. The lesson builds a strong foundation for later topics in algebra and number systems.


14 Maths -Grade 10-Term 1-Introduction to Real Numbers – Odd, Even, Prime, Composite [Quiz]
24 Min


15 Real Numbers-Introduction to Real Numbers – Odd, Even, Prime, Composite
10 Min

This instructional video provides a clear explanation of real numbers and their classification into odd, even, prime, and composite categories. It features step-by-step examples suitable for Grade 10 learners, helping them visualize number properties and understand how these classifications apply in daily life.


16 Real Numbers-Introduction to Real Numbers – Odd, Even, Prime, Composite
40 Min

This lesson introduces Grade 10 learners to Real Numbers, focusing on identifying their meaning and classifying whole numbers as odd, even, prime, and composite. It emphasizes conceptual understanding through examples, group activities, and real-world applications of real numbers in daily situations such as counting, measurements, and digital operations.


1 Laws of Indices – Computations and Applications
40 Min

This lesson focuses on applying the laws of indices to solve mathematical computations, enabling learners to simplify complex expressions efficiently and accurately.


2 Maths -Grade 10-Term 1-Laws of Indices (Derivation and Application) [Quiz]
16 Min


3 Laws of Indices (Derivation and Application)
30 Min

This video explains the laws of indices through step-by-step derivations and worked examples, helping Grade 10 learners understand and apply index rules correctly.


4 Laws of Indices (Derivation and Application)
40 Min

This lesson deepens learners’ understanding of indices by deriving and applying the laws of indices to simplify mathematical expressions, forming a foundation for logarithms.


5 Laws of Indices – Computations and Applications
30 Min

This video demonstrates how to apply the laws of indices in numerical and algebraic computations, using clear worked examples suitable for Grade 10 learners.


6 Antilogarithms (Using Tables and Calculators)
40 Min

This lesson introduces antilogarithms as the inverse of logarithms and guides learners to determine original numbers using tables and calculators.


7 Maths -Grade 10-Term 1-Laws of Indices –Antilogarithms (Using Tables and Calculators) [Quiz]
12 Min


8 Antilogarithms (Using Tables and Calculators)
15 Min

This video explains the concept of antilogarithms and demonstrates how to find them using logarithm tables and calculators with clear Grade 10–level examples.


9 Maths -Grade 10-Term 1-Laws of Indices –Determining Common Logarithms Using Tables and Calculators [Quiz]
12 Min


10 Determining Common Logarithms Using Tables and Calculators
11 Min

This video explains how to determine common logarithms using tables and calculators, with clear step-by-step examples designed for Grade 10 Mathematics learners.


11 Determining Common Logarithms Using Tables and Calculators
40 Min

This lesson equips learners with skills to determine common logarithms using tables and calculators, strengthening their understanding of the relationship between indices and logarithms.


12 Maths -Grade 10-Term 1-Laws of Indices – Relationship Between Indices and Logarithms (Base 10) [Quiz]
16 Min


13 Relationship Between Indices and Logarithms (Base 10)
10 Min

This video explains the relationship between indices and logarithms to base 10 and demonstrates how to find common logarithms using tables and calculators, suitable for Grade 10 learners.


14 Relationship Between Indices and Logarithms (Base 10)
40 Min

This lesson introduces common logarithms by relating index notation to logarithm notation to base 10 and guiding learners to determine logarithmic values using tables and calculators.


15 Maths -Grade 10-Term 1-Laws of Indices – Generating and Using Laws of Indices [Quiz]
16 Min


16 Generating and Using Laws of Indices
40 Min

This lesson guides learners to generate and apply the laws of indices using repeated multiplication, enabling them to simplify mathematical computations efficiently.


17 Maths -Grade 10-Term 1-Laws of Indices – Computations and Applications [Quiz]
16 Min


1 Maths -Grade 10-Term 1-Quadratic Expressions and Equations -Applying and Factorising Quadratic Expressions [Quiz]
16 Min


2 Maths -Grade 10-Term 1-Quadratic Expressions and Equations -Forming and Solving Quadratic Equations by Factorisation [Quiz]
12 Min


3 Forming and Solving Quadratic Equations by Factorisation
N/A

10


4 Forming and Solving Quadratic Equations by Factorisation
40 Min

"Grade 10 Mathematics Week 4 Lesson 5 focuses on forming quadratic equations from different situations and solving them by factorisation, with clear real-life applications.


5 Application and Factorisation of Quadratic Expressions
10 Min

This video explains how to apply quadratic expressions in numerical cases and factorise quadratic expressions step by step, with clear worked examples suitable for Grade 10 learners.


6 Application and Factorisation of Quadratic Expressions
40 Min

Grade 10 Mathematics Week 4 Lesson 4 focuses on applying quadratic expressions in numerical cases and factorising quadratic expressions for effective problem solving and real-life applications.


7 Applying and Factorising Quadratic Expressions
15 Min

This video demonstrates how to apply quadratic expressions in numerical cases and factorise quadratic expressions step by step, with clear examples suitable for Grade 10 learners.


8 Applying and Factorising Quadratic Expressions
40 Min

Grade 10 Mathematics Week 4 Lesson 3 focuses on applying quadratic expressions in numerical cases and factorising quadratic expressions to solve real-life problems.


9 Maths -Grade 10-Term 1-Quadratic Expressions and Equations -Quadratic Expressions and Quadratic Identities [Quiz]
12 Min


10 Quadratic Expressions and Quadratic Identities
10 Min

This video explains how to form quadratic expressions from different situations, derive quadratic identities using area models, and understand their real-life applications for Grade 10 learners


11 Quadratic Expressions and Quadratic Identities
40 Min

"Grade 10 Mathematics Week 4 Lesson 2 focuses on forming quadratic expressions, deriving quadratic identities using area models, and applying quadratic equations in real-life situations.


12 Maths -Grade 10-Term 1-Quadratic Expressions and Equations -Formation of Quadratic Expressions and Quadratic Identities [Quiz]
12 Min


13 Formation of Quadratic Expressions and Quadratic Identities
15 Min

This video explains quadratic expressions and identities step by step, using visual area models and real-life examples to help Grade 10 learners understand and apply quadratic concepts effectively.


14 Formation of Quadratic Expressions and Quadratic Identities
40 Min

This Grade 10 Mathematics lesson introduces learners to quadratic expressions and quadratic identities, focusing on forming expressions from real-life situations and deriving identities using area models in line with the CBC curriculum.


1 Relationship Between Linear Scale Factor, Area, and Volume
40 Min

This Grade 10 Mathematics lesson explores the relationship between linear scale factor, area, and volume of similar figures, enabling learners to solve real-life problems involving enlargement and similarity in line with the CBC curriculum.


2 Maths -Grade 10-Term 1-Similarity and Enlargement-Solving Problems Involving Similarity and Enlargement [Quiz]
16 Min


3 Solving Problems Involving Similarity and Enlargement
20 Min

This video explains how to solve problems involving similar figures and enlargement using scale factors, ratios, and real-life examples such as maps and models, suitable for Grade 10 learners.


4 Solving Problems Involving Similarity and Enlargement
40 Min

This Grade 10 Mathematics lesson develops learners’ ability to solve problems involving similarity and enlargement, using linear scale factor and real-life applications such as maps and scaled drawings, in line with the CBC curriculum


5 Maths -Grade 10-Term 1-Similarity and Enlargement-Construction of Images Under Enlargement [Quiz]
16 Min


6 Construction of Images Under Enlargement
N/A

This video demonstrates step-by-step construction of enlarged and reduced figures using a centre of enlargement and scale factor, with clear diagrams suitable for Grade 10 learners.


7 Construction of Images Under Enlargement
40 Min

This Grade 10 Mathematics lesson focuses on constructing images under enlargement using a given centre and scale factor, helping learners understand similarity and scaled representations in line with the CBC curriculum.


8 MEASUREMENTS AND GEOMETRY -Similarity and Enlargement. [Quiz]
16 Min


9 Similarity and Enlargemen
20 Min

This video explains the properties of similar figures, the concept of enlargement, determining the center of enlargement, and calculating the linear scale factor. Includes real-life examples for better understanding


10 Similarity and Enlargement
40 Min

This lesson introduces learners to the concepts of similar figures and enlargement in geometry. Students will explore how shapes can be proportionally scaled, understand the concept of the center of enlargement, and calculate the linear scale factor. The lesson will also highlight practical applications in architecture, maps, models, and design


11 Relationship Between Linear Scale Factor, Area, and Volume
20 Min

This video explains how linear scale factor affects area and volume of similar figures, using clear examples and problem-solving techniques suitable for Grade 10 learners.


12 Maths -Grade 10-Term 1-Similarity and Enlargement-Application of Similarity and Enlargement in Real-Life Situations [Quiz]
16 Min


13 Application of Similarity and Enlargement in Real-Life Situations
20 Min

This video demonstrates how similarity and enlargement are applied in real-life contexts such as maps, models, and architectural drawings, using clear explanations and worked examples suitable for Grade 10 learners.


14 Application of Similarity and Enlargement in Real-Life Situations
40 Min

This Grade 10 Mathematics lesson focuses on real-life applications of similarity and enlargement, enabling learners to solve practical problems involving maps, models, area, and volume using scale factors in line with the CBC curriculum.


15 Maths -Grade 10-Term 1-Similarity and Enlargement-Relationship Between Linear Scale Factor, Area, and Volume [Quiz]
20 Min


1 Reflection and Congruence
40 Min

Learners will explore lines of symmetry, reflection transformations, and congruence in plane figures. Through guided activities, they will identify symmetry, describe reflection properties, and appreciate real‑life applications of symmetry and congruence in geometry. Learners will also observe and construct reflected images and recognize congruent shapes preserved through reflection.


2 Maths -Grade 10-Term 1-Measurements and Geometry -congruence in real life and congruence tests for triangles. [Quiz]
16 Min


3 congruence in real life and congruence tests for triangles
20 Min

This video explains congruence in triangles using SSS, SAS, ASA, and RHS tests. It demonstrates how to check for congruence with real-life examples and shows how reflection produces congruent images in geometry.


4 congruence in real life and congruence tests for triangles.
40 Min

Learners will explore the concept of congruence in geometry, including its practical applications in everyday life. They will learn how to carry out congruence tests for triangles (SSS, SAS, ASA, RHS) and understand how reflection can produce congruent figures. The lesson highlights real-life uses of congruence in design, construction, and natural patterns.


5 Maths -Grade 10-Term 1-Measurements and Geometry -Reflection of Figures on the Cartesian Plane [Quiz]
20 Min


6 Reflection of Figures on the Cartesian Plane
20 Min

This lesson demonstrates how to draw reflected images on a plane surface and Cartesian plane. It also explains how to determine the equation of a mirror line using the coordinates of an object and its reflected image, linking geometric reflection to real-life applications.


7 drawing reflected images and determining mirror line equations on plane surfaces and the Cartesian plane.
40 Min

Learners will explore reflection of figures on plane surfaces and Cartesian planes. They will practice drawing images of shapes across a given mirror line, determine equations of mirror lines from given figures and their images, and understand the real-life applications of reflection and congruence in design, architecture, and nature.


8 Maths -Grade 10-Term 1-Measurements and Geometry -Reflection and Congruence [Quiz]
16 Min


9 Reflection and Congruence
20 Min

This video lesson explains how to identify lines of symmetry in regular polygons and connects symmetry to reflection and congruence in plane figures. It demonstrates drawing and verifying symmetry lines in shapes such as triangles, quadrilaterals, and other polygons


10 Maths -Grade 10-Term 1-Measurements and Geometry -Reflection and Lines of Symmetry [Quiz]
16 Min


11 Reflection, Lines of Symmetry, and Congruence
20 Min

This video explains reflection, lines of symmetry, and congruence using clear diagrams and real-life examples, helping Grade 10 learners understand geometric transformations effectively.


12 Reflection, Lines of Symmetry, and Congruence
40 Min

This Grade 10 Mathematics lesson introduces reflection and congruence by identifying lines of symmetry in plane figures and exploring the properties of reflection, with practical and real-life applications aligned to the CBC curriculum.


1 Maths -Grade 10-Term 1-Measurements and Geometry -Rotation-determining center and angle of rotation and order of rotational symmetry. [Quiz]
20 Min


2 determining center and angle of rotation and order of rotational symmetry.
20 Min

This video explains how to determine the center and angle of rotation for a figure and its image. It also introduces rotational symmetry, illustrating how to find the order of rotational symmetry in polygons and real-life objects.


3 determining center and angle of rotation and order of rotational symmetry.
40 Min

Learners will explore rotation transformations, focusing on finding the center and angle of rotation for a given figure and its image. They will also determine the order of rotational symmetry in plane figures and understand the application of rotation in real-life contexts such as design, architecture, and machinery.


4 Rotation of Shapes on Cartesian Plane
20 Min

This video demonstrates rotation of points and figures on both plane surfaces and the Cartesian plane. It explains rotation rules, how to determine the center and angle of rotation, and shows real-life applications of rotation in machinery, design, and patterns.


5 Maths -Grade 10-Term 1-Measurements and Geometry -Rotation.-Rotation of Shapes on Cartesian Plane [Quiz]
16 Min


6 Rotation of Shapes on Cartesian Plane
40 Min

Learners will explore rotation transformations in geometry. They will determine the properties of rotation, perform rotations of figures on plane surfaces and the Cartesian plane using given centers and angles, and appreciate how rotation is applied in real-life situations such as engineering, design, and everyday objects.


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