Linear Programming

Introduction to Linear Programming

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

-Understand the concept of optimization in real life
-Identify decision variables in practical situations
-Recognize constraints and objective functions
-Understand applications of linear programming

-Discuss resource allocation problems in daily life
-Identify optimization scenarios in business and farming
-Introduce decision-making with limited resources
-Use simple examples from student experiences

Exercise books
-Manila paper
-Real-life examples
-Chalk/markers

KLB Secondary Mathematics Form 4, Pages 165-167

Linear Programming

Forming Linear Inequalities from Word Problems

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

-Translate real-world constraints into mathematical inequalities
-Identify decision variables in word problems
-Form inequalities from resource limitations
-Use correct mathematical notation for constraints

-Work through farmer's crop planning problem
-Practice translating budget constraints into inequalities
-Form inequalities from production capacity limits
-Use Kenyan business examples for relevance

Exercise books
-Manila paper
-Local business examples
-Agricultural scenarios

KLB Secondary Mathematics Form 4, Pages 165-167

Linear Programming

Types of Constraints
Objective Functions

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

-Identify non-negativity constraints
-Understand resource constraints and their implications
-Form demand and supply constraints
-Apply constraint formation to various industries

-Define objective functions for maximization problems
-Define objective functions for minimization problems
-Understand profit, cost, and other objective measures
-Connect objective functions to real-world goals

-Practice with non-negativity constraints (x ≥ 0, y ≥ 0)
-Form material and labor constraints
-Apply to manufacturing and service industries
-Use school resource allocation examples

-Form profit maximization functions
-Create cost minimization functions
-Practice with revenue and efficiency objectives
-Apply to business and production scenarios

Exercise books
-Manila paper
-Industry examples
-School scenarios
Exercise books
-Manila paper
-Business examples
-Production scenarios

KLB Secondary Mathematics Form 4, Pages 165-167

Linear Programming

Complete Problem Formulation

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

-Combine constraints and objective functions
-Write complete linear programming problems
-Check formulation for completeness and correctness
-Apply systematic approach to problem setup

-Work through complete problem formulation process
-Practice with multiple constraint types
-Verify problem setup using logical reasoning
-Apply to comprehensive business scenarios

Exercise books
-Manila paper
-Complete examples
-Systematic templates

KLB Secondary Mathematics Form 4, Pages 165-167

Linear Programming

Introduction to Graphical Solution Method

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

-Understand graphical representation of inequalities
-Plot constraint lines on coordinate plane
-Identify feasible and infeasible regions
-Understand boundary lines and their significance

-Plot simple inequality x + y ≤ 10 on graph
-Shade feasible regions systematically
-Distinguish between ≤ and < inequalities
-Practice with multiple examples on manila paper

Exercise books
-Manila paper
-Rulers
-Colored pencils

KLB Secondary Mathematics Form 4, Pages 166-172

Linear Programming

Plotting Multiple Constraints

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

-Plot multiple inequalities on same graph
-Find intersection of constraint lines
-Identify feasible region bounded by multiple constraints
-Handle cases with no feasible solution

-Plot system of 3-4 constraints simultaneously
-Find intersection points of constraint lines
-Identify and shade final feasible region
-Discuss unbounded and empty feasible regions

Exercise books
-Manila paper
-Rulers
-Different colored pencils

KLB Secondary Mathematics Form 4, Pages 166-172

Linear Programming

Properties of Feasible Regions

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

-Understand that feasible region is convex
-Identify corner points (vertices) of feasible region
-Understand significance of corner points
-Calculate coordinates of corner points

-Identify all corner points of feasible region
-Calculate intersection points algebraically
-Verify corner points satisfy all constraints
-Understand why corner points are important

Exercise books
-Manila paper
-Calculators
-Algebraic methods

KLB Secondary Mathematics Form 4, Pages 166-172

Linear Programming

Properties of Feasible Regions

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

-Understand that feasible region is convex
-Identify corner points (vertices) of feasible region
-Understand significance of corner points
-Calculate coordinates of corner points

-Identify all corner points of feasible region
-Calculate intersection points algebraically
-Verify corner points satisfy all constraints
-Understand why corner points are important

Exercise books
-Manila paper
-Calculators
-Algebraic methods

KLB Secondary Mathematics Form 4, Pages 166-172

Linear Programming

Introduction to Optimization
The Corner Point Method

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

-Understand concept of optimal solution
-Recognize that optimal solution occurs at corner points
-Learn to evaluate objective function at corner points
-Compare values to find maximum or minimum

-Apply systematic corner point evaluation method
-Create organized tables for corner point analysis
-Identify optimal corner point efficiently
-Handle cases with multiple optimal solutions

-Evaluate objective function at each corner point
-Compare values to identify optimal solution
-Practice with both maximization and minimization
-Verify optimal solution satisfies all constraints

-Create systematic evaluation table
-Work through corner point method step-by-step
-Practice with various objective functions
-Identify and handle tie cases

Exercise books
-Manila paper
-Calculators
-Evaluation tables
Exercise books
-Manila paper
-Evaluation templates
-Systematic approach

KLB Secondary Mathematics Form 4, Pages 172-176

Linear Programming

The Iso-Profit/Iso-Cost Line Method

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

-Understand concept of iso-profit and iso-cost lines
-Draw family of parallel objective function lines
-Use slope to find optimal point graphically
-Apply sliding line method for optimization

-Draw iso-profit lines for given objective function
-Show family of parallel lines with different values
-Find optimal point by sliding line to extreme position
-Practice with both maximization and minimization

Exercise books
-Manila paper
-Rulers
-Sliding technique

KLB Secondary Mathematics Form 4, Pages 172-176

Linear Programming

Comparing Solution Methods

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

-Compare corner point and iso-line methods
-Understand when each method is most efficient
-Verify solutions using both methods
-Choose appropriate method for different problems

-Solve same problem using both methods
-Compare efficiency and accuracy of methods
-Practice method selection based on problem type
-Verify consistency of results

Exercise books
-Manila paper
-Method comparison
-Verification examples

KLB Secondary Mathematics Form 4, Pages 172-176

Linear Programming
Integration

Business Applications - Production Planning
Introduction to Reverse Differentiation

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

-Apply linear programming to production problems
-Solve manufacturing optimization problems
-Handle resource allocation in production
-Apply to Kenyan manufacturing scenarios

-Solve factory production optimization problem
-Apply to textile or food processing examples
-Use local manufacturing scenarios
-Calculate optimal production mix

Exercise books
-Manila paper
-Manufacturing examples
-Kenyan industry data
Graph papers
-Differentiation charts
-Exercise books
-Function examples

KLB Secondary Mathematics Form 4, Pages 172-176

Integration

Basic Integration Rules - Power Functions
Integration of Polynomial Functions

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

-Apply power rule for integration: ∫xⁿ dx = xⁿ⁺¹/(n+1) + c
-Understand the constant of integration and why it's necessary
-Integrate simple power functions where n ≠ -1
-Practice with positive, negative, and fractional powers

-Derivation of power rule through reverse differentiation
-Multiple examples with different values of n
-Explanation of arbitrary constant using family of curves
-Practice exercises with various power functions
-Common mistakes discussion and correction

Calculators
-Graph papers
-Power rule charts
-Exercise books
-Algebraic worksheets
-Polynomial examples

KLB Secondary Mathematics Form 4, Pages 223-225

Integration

Finding Particular Solutions

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

-Use initial conditions to find specific values of constant c
-Solve problems involving boundary conditions
-Apply integration to find equations of curves
-Distinguish between general and particular solutions

-Working examples with given initial conditions
-Finding curve equations when gradient function and point are known
-Practice problems from various contexts
-Discussion on why particular solutions are important
-Problem-solving session with curve-finding exercises

Graph papers
-Calculators
-Curve examples
-Exercise books

KLB Secondary Mathematics Form 4, Pages 223-225

Integration

Introduction to Definite Integrals
Evaluating Definite Integrals
Area Under Curves - Single Functions
Areas Below X-axis and Mixed Regions

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

-Understand integration as area calculation tool
-Calculate area between curve and x-axis
-Handle regions bounded by curves and vertical lines
-Apply definite integrals to find exact areas

-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

-Geometric demonstration of area under curves
-Drawing and shading regions on graph paper
-Working examples: area under y = x², y = 2x + 3, etc.
-Comparison with approximation methods from Chapter 9
-Practice finding areas of various regions

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

KLB Secondary Mathematics Form 4, Pages 226-228
KLB Secondary Mathematics Form 4, Pages 230-233

Integration
Paper 1 Revision

Area Between Two Curves
Section I: Short Answer Questions

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

-Calculate area between two intersecting curves
-Find intersection points as integration limits
-Apply method: Area = ∫ₐᵇ [f(x) - g(x)]dx
-Handle multiple intersection scenarios

-Method for finding curve intersection points
-Working examples: area between y = x² and y = x
-Step-by-step process for area between curves
-Practice with linear and quadratic function pairs
-Advanced examples with multiple intersections

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

KLB Secondary Mathematics Form 4, Pages 233-235

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

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

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

KLB Math Bk 1–4, paper 2 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

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
– attempt compulsory short-answer questions – show clear working for full marks – apply speed and accuracy in solving problems

Students attempt structured questions under timed conditions Peer review and corrections
Students attempt selected questions individually Peer-marking and teacher correction

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
KLB Math Bk 1–4, paper 1 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

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

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

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

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

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
– practice extended problem solving – interpret and use graphs, diagrams and data – present answers clearly for maximum marks

Timed practice with mixed short-answer questions Class discussion of solutions
Students attempt structured questions under timed conditions Peer review and corrections

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

Students’ Notes, Revision Texts
paper 1 question paper
KLB Math Bk 1–4
paper 1 question paper

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

KLB Math Bk 1–4, paper 2 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

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

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

paper 2 Revision

Section I: Short Answer Questions
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:
– attempt compulsory short-answer questions – show clear working for full marks – apply speed and accuracy in solving problems
– integrate knowledge to solve mixed short questions – apply logical reasoning and time management – identify common errors and correct them

Students attempt selected questions individually Peer-marking and teacher correction
Timed practice with mixed short-answer questions Class discussion of solutions

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

KLB Math Bk 1–4, paper 2 question paper
Students’ Notes, Revision Texts
Paper 2 question paper

paper 2 Revision

Section II: Structured 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

KLB Math Bk 1–4
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

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

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

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
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
– attempt compulsory short-answer questions – show clear working for full marks – apply speed and accuracy in solving problems

Group brainstorming on selected structured questions Teacher gives feedback on presentation
Students attempt selected questions individually Peer-marking and teacher correction

Past Paper 2s, Marking Schemes
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
KLB Math Bk 1–4, paper 1 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

Section II: Structured 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

KLB Math Bk 1–4
paper 1 question paper

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

KLB Math Bk 1–4, paper 2 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

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
– develop detailed structured responses – organize answers step by step – apply concepts in real-life problem settings

Teacher demonstrates approaches Students work in pairs and discuss solutions
Group brainstorming on selected structured questions Teacher gives feedback on presentation

Chalkboard, Past Papers, Calculators
Past Papers, Marking Schemes
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

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

KLB Math Bk 1–4, paper 2 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

Section II: Structured 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

KLB Math Bk 1–4
paper 2 question paper