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SCHEME OF WORK
Mathematics
Form 3 2025
TERM I
School


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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
1 1-2
Quadratic Expressions and Equations
Factorisation of quadratic expressions
By the end of the lesson, the learner should be able to:
Factorize quadratic expressions
Write the perfect squares
Apply factorization methods to solve problems
Q/A on revision of linear expressions
Discussions on quadratic expression patterns
Solving problems using factorization
Demonstrations on factorization techniques
Explaining step-by-step methods
Calculators, charts showing factorization patterns
KLB Mathematics Book Three Pg 1
1 3
Quadratic Expressions and Equations
Factorisation of quadratic expressions
By the end of the lesson, the learner should be able to:
Factorize quadratic expressions using different methods
Identify common factors in expressions
Apply grouping method to factorize
Q/A on previous lesson concepts
Discussions on advanced factorization
Solving complex factorization problems
Demonstrations of grouping methods
Explaining various factorization techniques
Calculators, factorization method charts
KLB Mathematics Book Three Pg 1-2
1 4
Quadratic Expressions and Equations
Factorisation of quadratic expressions
By the end of the lesson, the learner should be able to:
Factorize quadratic expressions using different methods
Identify common factors in expressions
Apply grouping method to factorize
Q/A on previous lesson concepts
Discussions on advanced factorization
Solving complex factorization problems
Demonstrations of grouping methods
Explaining various factorization techniques
Calculators, factorization method charts
KLB Mathematics Book Three Pg 1-2
1 5
Quadratic Expressions and Equations
Factorisation of quadratic expressions
By the end of the lesson, the learner should be able to:
Factorize quadratic expressions using different methods
Identify common factors in expressions
Apply grouping method to factorize
Q/A on previous lesson concepts
Discussions on advanced factorization
Solving complex factorization problems
Demonstrations of grouping methods
Explaining various factorization techniques
Calculators, factorization method charts
KLB Mathematics Book Three Pg 1-2
1 6
Quadratic Expressions and Equations
Completing squares
By the end of the lesson, the learner should be able to:
Complete the square for quadratic expressions
Write expressions in perfect square form
Identify missing terms in completing squares
Q/A on perfect square patterns
Discussions on completing square concept
Solving problems by completing squares
Demonstrations of completing square method
Explaining systematic approach
Calculators, perfect square charts
KLB Mathematics Book Three Pg 1-2
1 7
Quadratic Expressions and Equations
Completing squares
By the end of the lesson, the learner should be able to:
Complete the square for quadratic expressions
Write expressions in perfect square form
Identify missing terms in completing squares
Q/A on perfect square patterns
Discussions on completing square concept
Solving problems by completing squares
Demonstrations of completing square method
Explaining systematic approach
Calculators, perfect square charts
KLB Mathematics Book Three Pg 1-2
2 1-2
Quadratic Expressions and Equations
Completing squares
By the end of the lesson, the learner should be able to:
Factorize quadratic expression by completing square method
Apply completing square to complex expressions
Transform expressions to vertex form
Q/A on completing square basics
Discussions on advanced applications
Solving complex expressions
Demonstrations of vertex form transformation
Explaining complete methodology
Calculators, vertex form examples
KLB Mathematics Book Three Pg 3-4
2 3
Quadratic Expressions and Equations
Solving quadratic expressions by completing square
By the end of the lesson, the learner should be able to:
Solve quadratic expressions by completing square
Apply completing square method to equations
Verify solutions by substitution
Q/A on equation solving methods
Discussions on systematic solving approach
Solving equations step-by-step
Demonstrations of verification methods
Explaining solution processes
Calculators, equation solving guides
KLB Mathematics Book Three Pg 5-6
2 4
Quadratic Expressions and Equations
Solving quadratic expressions by completing square
By the end of the lesson, the learner should be able to:
Solve quadratic expressions by completing square
Apply completing square method to equations
Verify solutions by substitution
Q/A on equation solving methods
Discussions on systematic solving approach
Solving equations step-by-step
Demonstrations of verification methods
Explaining solution processes
Calculators, equation solving guides
KLB Mathematics Book Three Pg 5-6
2 5
Quadratic Expressions and Equations
Solving quadratic expressions by factorization
By the end of the lesson, the learner should be able to:
Solve quadratic expressions by factorization
Apply zero product property
Choose appropriate factorization method
Q/A on factorization techniques
Discussions on solving strategies
Solving equations using factorization
Demonstrations of zero product rule
Explaining method selection
Calculators, method selection charts
KLB Mathematics Book Three Pg 7
2 6
Quadratic Expressions and Equations
Solving quadratic expressions by factorization
By the end of the lesson, the learner should be able to:
Solve quadratic expressions by factorization
Apply zero product property
Choose appropriate factorization method
Q/A on factorization techniques
Discussions on solving strategies
Solving equations using factorization
Demonstrations of zero product rule
Explaining method selection
Calculators, method selection charts
KLB Mathematics Book Three Pg 7
2 7
Quadratic Expressions and Equations
Solving quadratic expressions by factorization
By the end of the lesson, the learner should be able to:
Solve quadratic expressions by factorization
Apply zero product property
Choose appropriate factorization method
Q/A on factorization techniques
Discussions on solving strategies
Solving equations using factorization
Demonstrations of zero product rule
Explaining method selection
Calculators, method selection charts
KLB Mathematics Book Three Pg 7
3 1-2
Quadratic Expressions and Equations
The quadratic formula
By the end of the lesson, the learner should be able to:
Solve quadratic expressions using the quadratic formula
Apply quadratic formula to any quadratic equation
Derive the quadratic formula
Q/A on formula derivation steps
Discussions on formula applications
Solving equations using formula
Demonstrations of derivation process
Explaining formula structure
Calculators, formula derivation charts
KLB Mathematics Book Three Pg 7-9
3 3
Quadratic Expressions and Equations
The quadratic formula
By the end of the lesson, the learner should be able to:
Solve quadratic expressions using the quadratic formula
Apply formula to complex coefficients
Interpret discriminant values
Q/A on formula mastery
Discussions on discriminant meaning
Solving complex equations
Demonstrations of discriminant analysis
Explaining nature of roots
Calculators, discriminant interpretation guides
KLB Mathematics Book Three Pg 7-9
3 4
Quadratic Expressions and Equations
The quadratic formula
By the end of the lesson, the learner should be able to:
Solve quadratic expressions using the quadratic formula
Apply formula to complex coefficients
Interpret discriminant values
Q/A on formula mastery
Discussions on discriminant meaning
Solving complex equations
Demonstrations of discriminant analysis
Explaining nature of roots
Calculators, discriminant interpretation guides
KLB Mathematics Book Three Pg 7-9
3 5
Quadratic Expressions and Equations
Formation of quadratic equations
By the end of the lesson, the learner should be able to:
Form a quadratic equation from word problem
Create equations from given roots
Apply sum and product of roots
Q/A on roots and coefficients relationship
Discussions on equation formation
Solving word problems leading to equations
Demonstrations of equation creation
Explaining formation processes
Calculators, word problem templates
KLB Mathematics Book Three Pg 9-10
3 6
Quadratic Expressions and Equations
Formation of quadratic equations
By the end of the lesson, the learner should be able to:
Form a quadratic equation from word problem
Create equations from given roots
Apply sum and product of roots
Q/A on roots and coefficients relationship
Discussions on equation formation
Solving word problems leading to equations
Demonstrations of equation creation
Explaining formation processes
Calculators, word problem templates
KLB Mathematics Book Three Pg 9-10
3 7
Quadratic Expressions and Equations
Graphs of quadratic functions
By the end of the lesson, the learner should be able to:
Draw a table of the quadratic functions
Plot coordinates accurately
Construct systematic value tables
Q/A on coordinate geometry basics
Discussions on table construction
Solving plotting problems
Demonstrations of systematic plotting
Explaining table creation methods
Graph papers, calculators, plotting guides
KLB Mathematics Book Three Pg 12-15
4 1-2
Quadratic Expressions and Equations
Graphs of quadratic functions
By the end of the lesson, the learner should be able to:
Draw graphs of quadratic functions
Identify vertex and axis of symmetry
Find intercepts from graphs
Q/A on graph plotting techniques
Discussions on graph features
Solving graphing problems
Demonstrations of feature identification
Explaining graph properties
Graph papers, calculators, rulers
KLB Mathematics Book Three Pg 12-15
4 3
Quadratic Expressions and Equations
Graphical solutions of quadratic equation
By the end of the lesson, the learner should be able to:
Draw graphs of quadratic functions
Solve quadratic equations using the graphs
Find roots as x-intercepts
Q/A on graph-equation relationships
Discussions on graphical solutions
Solving equations graphically
Demonstrations of root finding
Explaining intersection concepts
Graph papers, calculators, rulers
KLB Mathematics Book Three Pg 15-17
4 4
Quadratic Expressions and Equations
Graphical solutions of quadratic equation
By the end of the lesson, the learner should be able to:
Draw graphs of quadratic functions
Solve quadratic equations using the graphs
Find roots as x-intercepts
Q/A on graph-equation relationships
Discussions on graphical solutions
Solving equations graphically
Demonstrations of root finding
Explaining intersection concepts
Graph papers, calculators, rulers
KLB Mathematics Book Three Pg 15-17
4 5
Quadratic Expressions and Equations
Graphical solutions of quadratic equation
By the end of the lesson, the learner should be able to:
Draw graphs of quadratic functions
Solve quadratic equations using the graphs
Find roots as x-intercepts
Q/A on graph-equation relationships
Discussions on graphical solutions
Solving equations graphically
Demonstrations of root finding
Explaining intersection concepts
Graph papers, calculators, rulers
KLB Mathematics Book Three Pg 15-17
4 6
Quadratic Expressions and Equations
Graphical solutions of quadratic equation
By the end of the lesson, the learner should be able to:
Draw graphs of quadratic functions
Solve quadratic equations using the graphs
Find roots as x-intercepts
Q/A on graph-equation relationships
Discussions on graphical solutions
Solving equations graphically
Demonstrations of root finding
Explaining intersection concepts
Graph papers, calculators, rulers
KLB Mathematics Book Three Pg 15-17
4 7
Quadratic Expressions and Equations
Graphical solutions of quadratic equation
By the end of the lesson, the learner should be able to:
Solve quadratic equations using the graphs
Verify algebraic solutions graphically
Estimate solutions from graphs
Q/A on solution verification
Discussions on estimation techniques
Solving complex graphical problems
Demonstrations of verification methods
Explaining accuracy in estimation
Graph papers, calculators, estimation guides
KLB Mathematics Book Three Pg 17-19
5 1-2
Quadratic Expressions and Equations
Surds
Graphical solutions of simultaneous equations
Rational and irrational numbers
By the end of the lesson, the learner should be able to:
Draw tables for simultaneous equations
Find the graphical solutions of simultaneous equations
Solve systems involving quadratic and linear equations
Classify numbers as rational and irrational numbers
Identify rational and irrational numbers
Distinguish between rational and irrational forms
Q/A on simultaneous equation concepts
Discussions on intersection analysis
Solving systems of equations
Demonstrations of intersection finding
Explaining solution interpretation
Q/A on number classification concepts
Discussions on rational vs irrational properties
Solving classification problems
Demonstrations of number identification
Explaining decimal representations
Graph papers, calculators, intersection analysis guides
Calculators, number classification charts
KLB Mathematics Book Three Pg 19-21
KLB Mathematics Book Three Pg 78
5 3
Surds
Rational and irrational numbers
By the end of the lesson, the learner should be able to:
Classify numbers as rational and irrational numbers
Identify rational and irrational numbers
Distinguish between rational and irrational forms
Q/A on number classification concepts
Discussions on rational vs irrational properties
Solving classification problems
Demonstrations of number identification
Explaining decimal representations
Calculators, number classification charts
KLB Mathematics Book Three Pg 78
5 4
Surds
Rational and irrational numbers
By the end of the lesson, the learner should be able to:
Classify numbers as rational and irrational numbers
Identify rational and irrational numbers
Distinguish between rational and irrational forms
Q/A on number classification concepts
Discussions on rational vs irrational properties
Solving classification problems
Demonstrations of number identification
Explaining decimal representations
Calculators, number classification charts
KLB Mathematics Book Three Pg 78
5 5
Surds
Rational and irrational numbers
By the end of the lesson, the learner should be able to:
Classify numbers as rational and irrational numbers
Identify rational and irrational numbers
Distinguish between rational and irrational forms
Q/A on number classification concepts
Discussions on rational vs irrational properties
Solving classification problems
Demonstrations of number identification
Explaining decimal representations
Calculators, number classification charts
KLB Mathematics Book Three Pg 78
5 6
Surds
Rational and irrational numbers
By the end of the lesson, the learner should be able to:
Classify numbers as rational and irrational numbers
Identify rational and irrational numbers
Distinguish between rational and irrational forms
Q/A on number classification concepts
Discussions on rational vs irrational properties
Solving classification problems
Demonstrations of number identification
Explaining decimal representations
Calculators, number classification charts
KLB Mathematics Book Three Pg 78
5 7
Surds
Order of surds and simplification
By the end of the lesson, the learner should be able to:
State the order of surds
Identify surd orders correctly
Simplify surds to lowest terms
Q/A on surd definition and properties
Discussions on surd order concepts
Solving order identification problems
Demonstrations of surd simplification
Explaining simplification techniques
Calculators, surd order examples
KLB Mathematics Book Three Pg 78-79
6 1-2
Surds
Simplification of surds practice
Addition of surds
By the end of the lesson, the learner should be able to:
Simplify surds using factorization
Express surds in simplest form
Apply systematic simplification methods
Add surds with like terms
Combine surds of the same order
Simplify surd addition expressions
Q/A on factorization techniques
Discussions on factor identification
Solving extensive simplification problems
Demonstrations of step-by-step methods
Explaining perfect square extraction
Q/A on like term concepts
Discussions on surd addition rules
Solving addition problems systematically
Demonstrations of combining techniques
Explaining when surds can be added
Calculators, factor trees, simplification worksheets
Calculators, addition rule charts
KLB Mathematics Book Three Pg 79-80
6 3
Surds
Addition of surds
By the end of the lesson, the learner should be able to:
Add surds with like terms
Combine surds of the same order
Simplify surd addition expressions
Q/A on like term concepts
Discussions on surd addition rules
Solving addition problems systematically
Demonstrations of combining techniques
Explaining when surds can be added
Calculators, addition rule charts
KLB Mathematics Book Three Pg 79-80
6 4
Surds
Addition of surds
By the end of the lesson, the learner should be able to:
Add surds with like terms
Combine surds of the same order
Simplify surd addition expressions
Q/A on like term concepts
Discussions on surd addition rules
Solving addition problems systematically
Demonstrations of combining techniques
Explaining when surds can be added
Calculators, addition rule charts
KLB Mathematics Book Three Pg 79-80
6 5
Surds
Addition of surds
By the end of the lesson, the learner should be able to:
Add surds with like terms
Combine surds of the same order
Simplify surd addition expressions
Q/A on like term concepts
Discussions on surd addition rules
Solving addition problems systematically
Demonstrations of combining techniques
Explaining when surds can be added
Calculators, addition rule charts
KLB Mathematics Book Three Pg 79-80
6 6
Surds
Subtraction of surds
By the end of the lesson, the learner should be able to:
Subtract surds with like terms
Apply subtraction rules to surds
Simplify surd subtraction expressions
Q/A on subtraction principles
Discussions on surd subtraction methods
Solving subtraction problems
Demonstrations of systematic approaches
Explaining subtraction verification
Calculators, subtraction worksheets
KLB Mathematics Book Three Pg 80
6 7
Surds
Subtraction of surds
By the end of the lesson, the learner should be able to:
Subtract surds with like terms
Apply subtraction rules to surds
Simplify surd subtraction expressions
Q/A on subtraction principles
Discussions on surd subtraction methods
Solving subtraction problems
Demonstrations of systematic approaches
Explaining subtraction verification
Calculators, subtraction worksheets
KLB Mathematics Book Three Pg 80
7 1-2
Surds
Multiplication of surds
By the end of the lesson, the learner should be able to:
Multiply surds of the same order
Apply multiplication rules to surds
Simplify products of surds
Q/A on multiplication concepts
Discussions on surd multiplication laws
Solving multiplication problems
Demonstrations of product simplification
Explaining multiplication principles
Calculators, multiplication rule guides
KLB Mathematics Book Three Pg 80-82
7 3
Surds
Multiplication of surds
By the end of the lesson, the learner should be able to:
Multiply surds of the same order
Apply multiplication rules to surds
Simplify products of surds
Q/A on multiplication concepts
Discussions on surd multiplication laws
Solving multiplication problems
Demonstrations of product simplification
Explaining multiplication principles
Calculators, multiplication rule guides
KLB Mathematics Book Three Pg 80-82
7 4
Surds
Multiplication of surds
By the end of the lesson, the learner should be able to:
Multiply surds of the same order
Apply multiplication rules to surds
Simplify products of surds
Q/A on multiplication concepts
Discussions on surd multiplication laws
Solving multiplication problems
Demonstrations of product simplification
Explaining multiplication principles
Calculators, multiplication rule guides
KLB Mathematics Book Three Pg 80-82
7 5
Surds
Multiplication of surds
By the end of the lesson, the learner should be able to:
Multiply surds of the same order
Apply multiplication rules to surds
Simplify products of surds
Q/A on multiplication concepts
Discussions on surd multiplication laws
Solving multiplication problems
Demonstrations of product simplification
Explaining multiplication principles
Calculators, multiplication rule guides
KLB Mathematics Book Three Pg 80-82
7 6
Surds
Multiplication of surds
By the end of the lesson, the learner should be able to:
Multiply surds of the same order
Apply multiplication rules to surds
Simplify products of surds
Q/A on multiplication concepts
Discussions on surd multiplication laws
Solving multiplication problems
Demonstrations of product simplification
Explaining multiplication principles
Calculators, multiplication rule guides
KLB Mathematics Book Three Pg 80-82
7 7
Surds
Multiplication of surds
By the end of the lesson, the learner should be able to:
Multiply surds of the same order
Apply multiplication rules to surds
Simplify products of surds
Q/A on multiplication concepts
Discussions on surd multiplication laws
Solving multiplication problems
Demonstrations of product simplification
Explaining multiplication principles
Calculators, multiplication rule guides
KLB Mathematics Book Three Pg 80-82
8 1-2
Surds
Division of surds
By the end of the lesson, the learner should be able to:
Divide surds of the same order
Apply division rules to surds
Simplify quotients of surds
Q/A on division concepts
Discussions on surd division methods
Solving division problems systematically
Demonstrations of quotient simplification
Explaining division techniques
Calculators, division worksheets
KLB Mathematics Book Three Pg 81-82
8 3
Surds
Division of surds
By the end of the lesson, the learner should be able to:
Divide surds of the same order
Apply division rules to surds
Simplify quotients of surds
Q/A on division concepts
Discussions on surd division methods
Solving division problems systematically
Demonstrations of quotient simplification
Explaining division techniques
Calculators, division worksheets
KLB Mathematics Book Three Pg 81-82
8 4
Surds
Division of surds
By the end of the lesson, the learner should be able to:
Divide surds of the same order
Apply division rules to surds
Simplify quotients of surds
Q/A on division concepts
Discussions on surd division methods
Solving division problems systematically
Demonstrations of quotient simplification
Explaining division techniques
Calculators, division worksheets
KLB Mathematics Book Three Pg 81-82
8 5
Surds
Division of surds
By the end of the lesson, the learner should be able to:
Divide surds of the same order
Apply division rules to surds
Simplify quotients of surds
Q/A on division concepts
Discussions on surd division methods
Solving division problems systematically
Demonstrations of quotient simplification
Explaining division techniques
Calculators, division worksheets
KLB Mathematics Book Three Pg 81-82
8 6
Surds
Rationalizing the denominator
By the end of the lesson, the learner should be able to:
Rationalize the denominator of fractions
Apply rationalization techniques
Simplify expressions with surd denominators
Q/A on rationalization concepts
Discussions on denominator clearing
Solving rationalization problems
Demonstrations of conjugate methods
Explaining rationalization importance
Calculators, rationalization guides
KLB Mathematics Book Three Pg 85-87
8 7
Surds
Rationalizing the denominator
By the end of the lesson, the learner should be able to:
Rationalize the denominator of fractions
Apply rationalization techniques
Simplify expressions with surd denominators
Q/A on rationalization concepts
Discussions on denominator clearing
Solving rationalization problems
Demonstrations of conjugate methods
Explaining rationalization importance
Calculators, rationalization guides
KLB Mathematics Book Three Pg 85-87
9 1-2
Surds
Advanced rationalization techniques
By the end of the lesson, the learner should be able to:
Rationalize complex expressions
Apply advanced rationalization methods
Handle multiple term denominators
Q/A on complex rationalization
Discussions on advanced techniques
Solving challenging rationalization problems
Demonstrations of sophisticated methods
Explaining complex denominator handling
Calculators, advanced technique sheets
KLB Mathematics Book Three Pg 85-87
9 3
Surds
Advanced rationalization techniques
By the end of the lesson, the learner should be able to:
Rationalize complex expressions
Apply advanced rationalization methods
Handle multiple term denominators
Q/A on complex rationalization
Discussions on advanced techniques
Solving challenging rationalization problems
Demonstrations of sophisticated methods
Explaining complex denominator handling
Calculators, advanced technique sheets
KLB Mathematics Book Three Pg 85-87
9 4
Surds
Advanced rationalization techniques
By the end of the lesson, the learner should be able to:
Rationalize complex expressions
Apply advanced rationalization methods
Handle multiple term denominators
Q/A on complex rationalization
Discussions on advanced techniques
Solving challenging rationalization problems
Demonstrations of sophisticated methods
Explaining complex denominator handling
Calculators, advanced technique sheets
KLB Mathematics Book Three Pg 85-87
9 5
Surds
Advanced rationalization techniques
By the end of the lesson, the learner should be able to:
Rationalize complex expressions
Apply advanced rationalization methods
Handle multiple term denominators
Q/A on complex rationalization
Discussions on advanced techniques
Solving challenging rationalization problems
Demonstrations of sophisticated methods
Explaining complex denominator handling
Calculators, advanced technique sheets
KLB Mathematics Book Three Pg 85-87
9 6
Surds
Advanced rationalization techniques
By the end of the lesson, the learner should be able to:
Rationalize complex expressions
Apply advanced rationalization methods
Handle multiple term denominators
Q/A on complex rationalization
Discussions on advanced techniques
Solving challenging rationalization problems
Demonstrations of sophisticated methods
Explaining complex denominator handling
Calculators, advanced technique sheets
KLB Mathematics Book Three Pg 85-87
9 7
Surds
Advanced rationalization techniques
By the end of the lesson, the learner should be able to:
Rationalize complex expressions
Apply advanced rationalization methods
Handle multiple term denominators
Q/A on complex rationalization
Discussions on advanced techniques
Solving challenging rationalization problems
Demonstrations of sophisticated methods
Explaining complex denominator handling
Calculators, advanced technique sheets
KLB Mathematics Book Three Pg 85-87

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