Differentiation

Introduction to Rate of Change

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

-Understand concept of rate of change in daily life
-Distinguish between average and instantaneous rates
-Identify examples of changing quantities
-Connect rate of change to gradient concepts

-Discuss speed as rate of change of distance
-Examine population growth rates
-Analyze temperature change throughout the day
-Connect to gradients of lines from coordinate geometry

Exercise books
-Manila paper
-Real-world examples
-Graph examples

KLB Secondary Mathematics Form 4, Pages 177-182

Differentiation

Average Rate of Change
Instantaneous Rate of Change

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

-Calculate average rate of change between two points
-Use formula: average rate = Δy/Δx
-Apply to distance-time and other practical graphs
-Understand limitations of average rate calculations

-Calculate average speed between two time points
-Find average rate of population change
-Use coordinate points to find average rates
-Compare average rates over different intervals

Exercise books
-Manila paper
-Calculators
-Graph paper
-Tangent demonstrations
-Motion examples

KLB Secondary Mathematics Form 4, Pages 177-182

Differentiation

Gradient of Curves at Points

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

-Find gradient of curve at specific points
-Use tangent line method for gradient estimation
-Apply limiting process to find exact gradients
-Practice with various curve types

-Draw tangent lines to curves on manila paper
-Estimate gradients using tangent slopes
-Use the limiting approach with chord sequences
-Practice with parabolas and other curves

Exercise books
-Manila paper
-Rulers
-Curve examples

KLB Secondary Mathematics Form 4, Pages 178-182

Differentiation

Introduction to Delta Notation

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

-Understand delta (Δ) notation for small changes
-Use Δx and Δy for coordinate changes
-Apply delta notation to rate calculations
-Practice reading and writing delta expressions

-Introduce delta as symbol for "change in"
-Practice writing Δx, Δy, Δt expressions
-Use delta notation in rate of change formulas
-Apply to coordinate geometry problems

Exercise books
-Manila paper
-Delta notation examples
-Symbol practice

KLB Secondary Mathematics Form 4, Pages 182-184

Differentiation

The Limiting Process
Introduction to Derivatives

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

-Understand concept of limit in differentiation
-Apply "as Δx approaches zero" reasoning
-Use limiting process to find exact derivatives
-Practice systematic limiting calculations

-Demonstrate limiting process with numerical examples
-Show chord approaching tangent as Δx → 0
-Calculate limits using table of values
-Practice systematic limit evaluation

Exercise books
-Manila paper
-Limit tables
-Systematic examples
-Derivative notation
-Function examples

KLB Secondary Mathematics Form 4, Pages 182-184

Differentiation

Derivative of Linear Functions

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

-Find derivatives of linear functions y = mx + c
-Understand that derivative of linear function is constant
-Apply to straight line gradient problems
-Verify using limiting process

-Find derivative of y = 3x + 2 using definition
-Show that derivative equals the gradient
-Practice with various linear functions
-Verify results using first principles

Exercise books
-Manila paper
-Linear function examples
-Verification methods

KLB Secondary Mathematics Form 4, Pages 184-188

Differentiation

Derivative of y = x^n (Basic Powers)

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

-Find derivatives of power functions
-Apply the rule d/dx(x^n) = nx^(n-1)
-Practice with x², x³, x⁴, etc.
-Verify using first principles for simple cases

-Derive d/dx(x²) = 2x using first principles
-Apply power rule to various functions
-Practice with x³, x⁴, x⁵ examples
-Verify selected results using definition

Exercise books
-Manila paper
-Power rule examples
-First principles verification

KLB Secondary Mathematics Form 4, Pages 184-188

Differentiation

Derivative of Constant Functions
Derivative of Coefficient Functions

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

-Understand that derivative of constant is zero
-Apply to functions like y = 5, y = -3
-Explain geometric meaning of zero derivative
-Combine with other differentiation rules

-Show that horizontal lines have zero gradient
-Find derivatives of constant functions
-Explain why rate of change of constant is zero
-Apply to mixed functions with constants

Exercise books
-Manila paper
-Constant function graphs
-Geometric explanations
-Coefficient examples
-Rule combinations

KLB Secondary Mathematics Form 4, Pages 184-188

Differentiation

Derivative of Polynomial Functions

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

-Find derivatives of polynomial functions
-Apply term-by-term differentiation
-Practice with various polynomial degrees
-Verify results using first principles

-Differentiate y = x³ + 2x² - 5x + 7
-Apply rule to each term separately
-Practice with various polynomial types
-Check results using definition for simple cases

Exercise books
-Manila paper
-Polynomial examples
-Term-by-term method

KLB Secondary Mathematics Form 4, Pages 184-188

Differentiation

Applications to Tangent Lines

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

-Find equations of tangent lines to curves
-Use derivatives to find tangent gradients
-Apply point-slope form for tangent equations
-Solve problems involving tangent lines

-Find tangent to y = x² at point (2, 4)
-Use derivative to get gradient at specific point
-Apply y - y₁ = m(x - x₁) formula
-Practice with various curves and points

Exercise books
-Manila paper
-Tangent line examples
-Point-slope applications

KLB Secondary Mathematics Form 4, Pages 187-189

Differentiation

Applications to Normal Lines
Introduction to Stationary Points

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

-Find equations of normal lines to curves
-Use negative reciprocal of tangent gradient
-Apply to perpendicular line problems
-Practice with normal line calculations

-Find normal to y = x² at point (2, 4)
-Use negative reciprocal relationship
-Apply perpendicular line concepts
-Practice normal line equation finding

Exercise books
-Manila paper
-Normal line examples
-Perpendicular concepts
-Curve sketches
-Stationary point examples

KLB Secondary Mathematics Form 4, Pages 187-189

Differentiation

Types of Stationary Points

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

-Distinguish between maximum and minimum points
-Identify points of inflection
-Use first derivative test for classification
-Apply gradient analysis around stationary points

-Analyze gradient changes around stationary points
-Use sign analysis of dy/dx
-Classify stationary points by gradient behavior
-Practice with various function types

Exercise books
-Manila paper
-Sign analysis charts
-Classification examples

KLB Secondary Mathematics Form 4, Pages 189-195

Differentiation

Finding and Classifying Stationary Points

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

-Solve dy/dx = 0 to find stationary points
-Apply systematic classification method
-Use organized approach for point analysis
-Practice with polynomial functions

-Work through complete stationary point analysis
-Use systematic gradient sign testing
-Create organized solution format
-Practice with cubic and quartic functions

Exercise books
-Manila paper
-Systematic templates
-Complete examples

KLB Secondary Mathematics Form 4, Pages 189-195

Differentiation

Curve Sketching Using Derivatives

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

-Use derivatives to sketch accurate curves
-Identify key features: intercepts, stationary points
-Apply systematic curve sketching method
-Combine algebraic and graphical analysis

-Sketch y = x³ - 3x² + 2 using derivatives
-Find intercepts, stationary points, and behavior
-Use systematic curve sketching approach
-Verify sketches using derivative information

Exercise books
-Manila paper
-Curve sketching templates
-Systematic method

KLB Secondary Mathematics Form 4, Pages 195-197

Differentiation

Introduction to Kinematics Applications
Acceleration as Second Derivative

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

-Apply derivatives to displacement-time relationships
-Understand velocity as first derivative of displacement
-Find velocity functions from displacement functions
-Apply to motion problems

-Find velocity from s = t³ - 2t² + 5t
-Apply v = ds/dt to motion problems
-Practice with various displacement functions
-Connect to real-world motion scenarios

Exercise books
-Manila paper
-Motion examples
-Kinematics applications
-Second derivative examples
-Motion analysis

KLB Secondary Mathematics Form 4, Pages 197-201

Differentiation

Motion Problems and Applications

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

-Solve complete motion analysis problems
-Find displacement, velocity, acceleration relationships
-Apply to real-world motion scenarios
-Use derivatives for motion optimization

-Analyze complete motion of falling object
-Find when particle changes direction
-Calculate maximum height in projectile motion
-Apply to vehicle motion problems

Exercise books
-Manila paper
-Complete motion examples
-Real scenarios

KLB Secondary Mathematics Form 4, Pages 197-201

Differentiation

Introduction to Optimization

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

-Apply derivatives to find maximum and minimum values
-Understand optimization in real-world contexts
-Use calculus for practical optimization problems
-Connect to business and engineering applications

-Find maximum area of rectangle with fixed perimeter
-Apply calculus to profit maximization
-Use derivatives for cost minimization
-Practice with geometric optimization

Exercise books
-Manila paper
-Optimization examples
-Real applications

KLB Secondary Mathematics Form 4, Pages 201-204

Differentiation

Geometric Optimization Problems
Business and Economic Applications

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

-Apply calculus to geometric optimization
-Find maximum areas and minimum perimeters
-Use derivatives for shape optimization
-Apply to construction and design problems

-Find dimensions for maximum area enclosure
-Optimize container volumes and surface areas
-Apply to architectural design problems
-Practice with various geometric constraints

Exercise books
-Manila paper
-Geometric examples
-Design applications
-Business examples
-Economic applications

KLB Secondary Mathematics Form 4, Pages 201-204

Differentiation

Advanced Optimization Problems

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

-Solve complex optimization with multiple constraints
-Apply systematic optimization methodology
-Use calculus for engineering applications
-Practice with advanced real-world problems

-Solve complex geometric optimization problems
-Apply to engineering design scenarios
-Use systematic optimization approach
-Practice with multi-variable situations

Exercise books
-Manila paper
-Complex examples
-Engineering applications

KLB Secondary Mathematics Form 4, Pages 201-204

Matrices and Transformations

Transformation on a Cartesian plane
Basic Transformation Matrices
Identification of transformation matrix

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

-Define transformation in mathematics
-Identify different types of transformations
-Plot objects and their images on Cartesian plane
-Relate transformation to movement of objects

-Q/A on coordinate geometry review
-Drawing objects and their images on Cartesian plane
-Practical demonstration of moving objects (reflection, rotation)
-Practice identifying transformations from diagrams
-Class discussion on real-life transformations

Square boards
-Peg boards
-Graph papers
-Mirrors
-Rulers
-Protractors
-Calculators
Graph papers
-Exercise books
-Matrix examples

KLB Secondary Mathematics Form 4, Pages 1-6

Matrices and Transformations

Two Successive Transformations
Complex Successive Transformations
Single matrix of transformation for successive transformations

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

-Apply two transformations in sequence
-Understand that order of transformations matters
-Find final image after two transformations
-Compare results of different orders

-Physical demonstration of successive transformations
-Step-by-step working showing AB ≠ BA
-Drawing intermediate and final images
-Practice with reflection followed by rotation
-Group work comparing different orders

Square boards
-Peg boards
-Graph papers
-Colored pencils
-Rulers
-Calculators
Calculators
-Matrix multiplication charts
-Exercise books

KLB Secondary Mathematics Form 4, Pages 15-17

Matrices and Transformations

Matrix Multiplication Properties
Identity Matrix and Transformation

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

-Understand that matrix multiplication is not commutative (AB ≠ BA)
-Apply associative property: (AB)C = A(BC)
-Calculate products of 2×2 matrices accurately
-Solve problems involving multiple matrix operations

-Detailed demonstration showing AB ≠ BA with examples
-Practice calculations with various matrix pairs
-Associativity verification with three matrices
-Problem-solving session with complex matrix products
-Individual practice from textbook exercises

Calculators
-Exercise books
-Matrix worksheets
-Formula sheets
-Graph papers
-Matrix examples

KLB Secondary Mathematics Form 4, Pages 21-24

Matrices and Transformations

Inverse of a matrix
Determinant and Area Scale Factor

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

-Calculate inverse of 2×2 matrix using formula
-Understand that AA⁻¹ = A⁻¹A = I
-Determine when inverse exists (det ≠ 0)
-Apply inverse matrices to find inverse transformations

-Formula for 2×2 matrix inverse derivation
-Multiple worked examples with different matrices
-Practice identifying singular matrices (det = 0)
-Finding inverse transformations using inverse matrices
-Problem-solving exercises Ex 1.5

Calculators
-Exercise books
-Formula sheets
-Graph papers
-Solve problems involving area changes under transformations

KLB Secondary Mathematics Form 4, Pages 14-15, 24-26

Matrices and Transformations

Area scale factor and determinant relationship

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

-Establish mathematical relationship between determinant and area scaling
-Explain why absolute value is needed
-Apply relationship in various transformation problems
-Understand orientation change when determinant is negative

-Mathematical proof of area scale factor relationship
-Examples with positive and negative determinants
-Discussion on orientation preservation/reversal
-Practice problems from textbook Ex 1.5
-Verification through direct area calculations

Calculators
-Graph papers
-Formula sheets
-Area calculation tools

KLB Secondary Mathematics Form 4, Pages 26-27

Matrices and Transformations

Shear Transformation

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

-Define shear transformation and its properties
-Find matrices for shear parallel to x-axis and y-axis
-Calculate images under shear transformations
-Understand that shear preserves area but changes shape

-Physical demonstration using flexible materials
-Derivation of shear transformation matrices
-Drawing effects of shear on rectangles and parallelograms
-Verification that area is preserved under shear
-Practice exercises Ex 1.6

Square boards
-Flexible materials
-Graph papers
-Rulers
-Calculators

KLB Secondary Mathematics Form 4, Pages 10-13, 28-34

Matrices and Transformations
Integration
Integration

Stretch Transformation and Review
Introduction to Reverse Differentiation
Basic Integration Rules - Power Functions

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

-Define stretch transformation and its matrices
-Calculate effect of stretch on areas and lengths
-Compare and contrast shear and stretch
-Review all transformation types and their properties

-Demonstration using elastic materials
-Finding matrices for stretch in x and y directions
-Comparison table: isometric vs non-isometric transformations
-Comprehensive review of all transformation types
-Problem-solving session covering entire unit

Graph papers
-Elastic materials
-Calculators
-Comparison charts
-Review materials
-Differentiation charts
-Exercise books
-Function examples
Calculators
-Graph papers
-Power rule charts

KLB Secondary Mathematics Form 4, Pages 28-38

Integration

Integration of Polynomial Functions
Finding Particular Solutions

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

-Integrate polynomial functions with multiple terms
-Apply linearity: ∫[af(x) + bg(x)]dx = a∫f(x)dx + b∫g(x)dx
-Handle constant coefficients and addition/subtraction
-Solve integration problems requiring algebraic simplification

-Step-by-step integration of polynomials like 3x² + 5x - 7
-Working with coefficients and constants
-Integration of expanded expressions: (x+2)(x-3)
-Practice with mixed positive and negative terms
-Exercises from textbook Exercise 10.1

Calculators
-Algebraic worksheets
-Polynomial examples
-Exercise books
Graph papers
-Calculators
-Curve examples

KLB Secondary Mathematics Form 4, Pages 223-225

Integration

Introduction to Definite Integrals
Evaluating Definite Integrals
Area Under Curves - Single Functions

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

-Define definite integrals using limit notation
-Understand the difference between definite and indefinite integrals
-Learn proper notation: ∫ₐᵇ f(x)dx
-Understand geometric meaning as area under curve

-Introduction to definite integral concept and notation
-Geometric interpretation using simple curves
-Comparison between ∫f(x)dx and ∫ₐᵇf(x)dx
-Discussion on limits of integration
-Basic examples with simple functions

Graph papers
-Geometric models
-Integration notation charts
-Calculators
Calculators
-Step-by-step worksheets
-Exercise books
-Evaluation charts
-Curve sketching tools
-Colored pencils
-Area grids

KLB Secondary Mathematics Form 4, Pages 226-228

Integration
Paper 1 Revision

Areas Below X-axis and Mixed Regions
Area Between Two Curves
Section I: Short Answer Questions

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

-Handle negative areas when curve is below x-axis
-Understand absolute value consideration for areas
-Calculate areas of regions crossing x-axis
-Apply integration to mixed positive/negative regions

-Demonstration of negative integrals and their meaning
-Working with curves that cross x-axis multiple times
-Finding total area vs net area
-Practice with functions like y = x³ - x
-Problem-solving with complex area calculations

Graph papers
-Calculators
-Curve examples
-Colored materials
-Exercise books
-Equation solving aids
-Colored pencils
Past Paper 1 exams, Marking Schemes

KLB Secondary Mathematics Form 4, Pages 230-235

REVISION

Paper 1 Revision
Paper 1 Revision

Section I: Short Answer Questions
Section I: Mixed Question Practice

By the end of the lesson, the learner should be able to:
– practice a variety of short-answer styles – apply problem-solving strategies – build confidence in tackling compulsory questions

Teacher demonstrates approaches Students work in pairs and discuss solutions

Chalkboard, Past Papers, Calculators
Past Papers, Marking Schemes

KLB Math Bk 1–4
paper 1 question paper

Paper 1 Revision
paper 2 Revision

Section II: Structured Questions
Section I: Short Answer Questions

By the end of the lesson, the learner should be able to:
– develop detailed structured responses – organize answers step by step – apply concepts in real-life problem settings

Group brainstorming on selected structured questions Teacher gives feedback on presentation

Past Paper 1s, Marking Schemes
Graph Papers, Geometry Sets, Past Papers
Past paper 2 exams, Marking Schemes

KLB Math Bk 1–4
paper 1 question paper

paper 2 Revision

Section I: Short Answer Questions
Section I: Mixed Question Practice

By the end of the lesson, the learner should be able to:
– practice a variety of short-answer styles – apply problem-solving strategies – build confidence in tackling compulsory questions

Teacher demonstrates approaches Students work in pairs and discuss solutions

Chalkboard, Past Papers, Calculators
Past Papers, Marking Schemes

KLB Math Bk 1–4
paper 2 question paper

paper 2 Revision
Paper 1 Revision

Section II: Structured Questions
Section I: Short Answer Questions

By the end of the lesson, the learner should be able to:
– develop detailed structured responses – organize answers step by step – apply concepts in real-life problem settings

Group brainstorming on selected structured questions Teacher gives feedback on presentation

Past Paper 2s, Marking Schemes
Graph Papers, Geometry Sets, Past Papers
Past Paper 1 exams, Marking Schemes

KLB Math Bk 1–4
paper 2 question paper

Paper 1 Revision

Section I: Short Answer Questions
Section I: Mixed Question Practice
Section II: Structured Questions

By the end of the lesson, the learner should be able to:
– practice a variety of short-answer styles – apply problem-solving strategies – build confidence in tackling compulsory questions

Teacher demonstrates approaches Students work in pairs and discuss solutions

Chalkboard, Past Papers, Calculators
Past Papers, Marking Schemes
Past Paper 1s, Marking Schemes

KLB Math Bk 1–4
paper 1 question paper

Paper 1 Revision
paper 2 Revision

Section II: Structured Questions
Section I: Short Answer Questions

By the end of the lesson, the learner should be able to:
– practice extended problem solving – interpret and use graphs, diagrams and data – present answers clearly for maximum marks

Students attempt structured questions under timed conditions Peer review and corrections

Graph Papers, Geometry Sets, Past Papers
Past paper 2 exams, Marking Schemes

KLB Math Bk 1–4
paper 1 question paper

paper 2 Revision

Section I: Short Answer Questions
Section I: Mixed Question Practice
Section II: Structured Questions

By the end of the lesson, the learner should be able to:
– practice a variety of short-answer styles – apply problem-solving strategies – build confidence in tackling compulsory questions

Teacher demonstrates approaches Students work in pairs and discuss solutions

Chalkboard, Past Papers, Calculators
Past Papers, Marking Schemes
Past Paper 2s, Marking Schemes

KLB Math Bk 1–4
paper 2 question paper

paper 2 Revision
Paper 1 Revision

Section II: Structured Questions
Section I: Short Answer Questions

By the end of the lesson, the learner should be able to:
– practice extended problem solving – interpret and use graphs, diagrams and data – present answers clearly for maximum marks

Students attempt structured questions under timed conditions Peer review and corrections

Graph Papers, Geometry Sets, Past Papers
Past Paper 1 exams, Marking Schemes

KLB Math Bk 1–4
paper 2 question paper

Paper 1 Revision

Section I: Short Answer Questions
Section I: Mixed Question Practice
Section II: Structured Questions

By the end of the lesson, the learner should be able to:
– practice a variety of short-answer styles – apply problem-solving strategies – build confidence in tackling compulsory questions

Teacher demonstrates approaches Students work in pairs and discuss solutions

Chalkboard, Past Papers, Calculators
Past Papers, Marking Schemes
Past Paper 1s, Marking Schemes

KLB Math Bk 1–4
paper 1 question paper

Paper 1 Revision
paper 2 Revision
paper 2 Revision

Section II: Structured Questions
Section I: Short Answer Questions
Section I: Short Answer Questions

By the end of the lesson, the learner should be able to:
– practice extended problem solving – interpret and use graphs, diagrams and data – present answers clearly for maximum marks

Students attempt structured questions under timed conditions Peer review and corrections

Graph Papers, Geometry Sets, Past Papers
Past paper 2 exams, Marking Schemes
Chalkboard, Past Papers, Calculators

KLB Math Bk 1–4
paper 1 question paper

paper 2 Revision

Section I: Mixed Question Practice
Section II: Structured Questions

By the end of the lesson, the learner should be able to:
– integrate knowledge to solve mixed short questions – apply logical reasoning and time management – identify common errors and correct them

Timed practice with mixed short-answer questions Class discussion of solutions

Past Papers, Marking Schemes
Past Paper 2s, Marking Schemes

Students’ Notes, Revision Texts
Paper 2 question paper

paper 2 Revision
Paper 1 Revision
Paper 1 Revision

Section II: Structured Questions
Section I: Short Answer Questions
Section I: Short Answer Questions

By the end of the lesson, the learner should be able to:
– practice extended problem solving – interpret and use graphs, diagrams and data – present answers clearly for maximum marks

Students attempt structured questions under timed conditions Peer review and corrections

Graph Papers, Geometry Sets, Past Papers
Past Paper 1 exams, Marking Schemes
Chalkboard, Past Papers, Calculators

KLB Math Bk 1–4
paper 2 question paper

Paper 1 Revision

Section I: Mixed Question Practice
Section II: Structured Questions

By the end of the lesson, the learner should be able to:
– integrate knowledge to solve mixed short questions – apply logical reasoning and time management – identify common errors and correct them

Timed practice with mixed short-answer questions Class discussion of solutions

Past Papers, Marking Schemes
Past Paper 1s, Marking Schemes

Students’ Notes, Revision Texts
paper 1 question paper

Paper 1 Revision
paper 2 Revision
paper 2 Revision

Section II: Structured Questions
Section I: Short Answer Questions
Section I: Short Answer Questions

By the end of the lesson, the learner should be able to:
– practice extended problem solving – interpret and use graphs, diagrams and data – present answers clearly for maximum marks

Students attempt structured questions under timed conditions Peer review and corrections

Graph Papers, Geometry Sets, Past Papers
Past paper 2 exams, Marking Schemes
Chalkboard, Past Papers, Calculators

KLB Math Bk 1–4
paper 1 question paper

paper 2 Revision

Section I: Mixed Question Practice
Section II: Structured Questions
Section II: Structured Questions

By the end of the lesson, the learner should be able to:
– integrate knowledge to solve mixed short questions – apply logical reasoning and time management – identify common errors and correct them

Timed practice with mixed short-answer questions Class discussion of solutions

Past Papers, Marking Schemes
Past Paper 2s, Marking Schemes
Graph Papers, Geometry Sets, Past Papers

Students’ Notes, Revision Texts
Paper 2 question paper

Paper 1 Revision

Section I: Short Answer Questions
Section I: Short Answer Questions

By the end of the lesson, the learner should be able to:
– attempt compulsory short-answer questions – show clear working for full marks – apply speed and accuracy in solving problems

Students attempt selected questions individually Peer-marking and teacher correction

Past Paper 1 exams, Marking Schemes
Chalkboard, Past Papers, Calculators

KLB Math Bk 1–4, paper 1 question paper

Paper 1 Revision

Section I: Mixed Question Practice
Section II: Structured Questions
Section II: Structured Questions

By the end of the lesson, the learner should be able to:
– integrate knowledge to solve mixed short questions – apply logical reasoning and time management – identify common errors and correct them

Timed practice with mixed short-answer questions Class discussion of solutions

Past Papers, Marking Schemes
Past Paper 1s, Marking Schemes
Graph Papers, Geometry Sets, Past Papers

Students’ Notes, Revision Texts
paper 1 question paper

paper 2 Revision

Section I: Short Answer Questions
Section I: Short Answer Questions
Section I: Mixed Question Practice

By the end of the lesson, the learner should be able to:
– attempt compulsory short-answer questions – show clear working for full marks – apply speed and accuracy in solving problems

Students attempt selected questions individually Peer-marking and teacher correction

Past paper 2 exams, Marking Schemes
Chalkboard, Past Papers, Calculators
Past Papers, Marking Schemes

KLB Math Bk 1–4, paper 2 question paper

paper 2 Revision

Section II: Structured Questions

By the end of the lesson, the learner should be able to:
– develop detailed structured responses – organize answers step by step – apply concepts in real-life problem settings

Group brainstorming on selected structured questions Teacher gives feedback on presentation

Past Paper 2s, Marking Schemes
Graph Papers, Geometry Sets, Past Papers

KLB Math Bk 1–4
paper 2 question paper

Paper 1 Revision

Section I: Short Answer Questions
Section I: Short Answer Questions
Section I: Mixed Question Practice

By the end of the lesson, the learner should be able to:
– attempt compulsory short-answer questions – show clear working for full marks – apply speed and accuracy in solving problems

Students attempt selected questions individually Peer-marking and teacher correction

Past Paper 1 exams, Marking Schemes
Chalkboard, Past Papers, Calculators
Past Papers, Marking Schemes

KLB Math Bk 1–4, paper 1 question paper

Paper 1 Revision

Section II: Structured Questions

By the end of the lesson, the learner should be able to:
– develop detailed structured responses – organize answers step by step – apply concepts in real-life problem settings

Group brainstorming on selected structured questions Teacher gives feedback on presentation

Past Paper 1s, Marking Schemes
Graph Papers, Geometry Sets, Past Papers

KLB Math Bk 1–4
paper 1 question paper

paper 2 Revision

Section I: Short Answer Questions
Section I: Short Answer Questions
Section I: Mixed Question Practice

By the end of the lesson, the learner should be able to:
– attempt compulsory short-answer questions – show clear working for full marks – apply speed and accuracy in solving problems

Students attempt selected questions individually Peer-marking and teacher correction

Past paper 2 exams, Marking Schemes
Chalkboard, Past Papers, Calculators
Past Papers, Marking Schemes

KLB Math Bk 1–4, paper 2 question paper

paper 2 Revision
Paper 1 Revision

Section II: Structured Questions
Section I: Short Answer Questions

By the end of the lesson, the learner should be able to:
– develop detailed structured responses – organize answers step by step – apply concepts in real-life problem settings

Group brainstorming on selected structured questions Teacher gives feedback on presentation

Past Paper 2s, Marking Schemes
Graph Papers, Geometry Sets, Past Papers
Past Paper 1 exams, Marking Schemes

KLB Math Bk 1–4
paper 2 question paper

Paper 1 Revision

Section I: Short Answer Questions
Section I: Mixed Question Practice

By the end of the lesson, the learner should be able to:
– practice a variety of short-answer styles – apply problem-solving strategies – build confidence in tackling compulsory questions

Teacher demonstrates approaches Students work in pairs and discuss solutions

Chalkboard, Past Papers, Calculators
Past Papers, Marking Schemes

KLB Math Bk 1–4
paper 1 question paper

Paper 1 Revision

Section II: Structured Questions

By the end of the lesson, the learner should be able to:
– develop detailed structured responses – organize answers step by step – apply concepts in real-life problem settings

Group brainstorming on selected structured questions Teacher gives feedback on presentation

Past Paper 1s, Marking Schemes
Graph Papers, Geometry Sets, Past Papers

KLB Math Bk 1–4
paper 1 question paper