- Exponents And Radicals
- Exponents
- List the laws of exponents
- Verify the laws of exponents
- Apply laws of exponents in computations

- Radicals
- Simplify radicals
- Perform basic operations on radicals
- Rationalize the denominator
- Read square roots and cube roots of numbers from mathematical tables

- Transposition of Formula
- Re-arrange letters so that one letter is the subject of the formula
- Transpose a formulae with square roots and square

- Algebra
- Binary Operations
- Describe the binary operations
- Perform binary operations

- Brackets in Computation
- Perform basic operations involving brackets
- Simplify algebraic expressions involving the basic operations and brackets

- Quadratic Expressions
- Form a quadratic expression from two linear factors
- Write the general form of quadratic expression

- Factorization
- Factorize linear expressions
- Factorize quadratic expressions

- Quadratic Equations
- Solving Equations
- Determine the solution of a quadratic equation by factorization
- Find the solution of a quadratic equation by completing the square

- General Solution of Quadratic Equations
- Derive the quadratic formula
- Solve quadratic equations using quadratic formula

- Logarithms
- Standard Form
- Write numbers in standard form
- Perform computations which involved multiplication and division of numbers expressed in standard form

- Laws Of Logarithms
- State the laws of logarithms
- Verify the laws of logarithms using the knowledge of exponents
- Use the laws of Logarithms to simplify logarithmic expressions
- Solve logarithmic equation
- Apply laws of logarithms to find products, quotients, roots and powers of numbers
- Apply logarithmic tables to find products and quotients of numbers computation
- Apply logarithmic tables to find roots and power of numbers

- Congruence
- Congruence of Triangles
- Determine the conditions for congruence of triangles
- Prove congruence of triangle
- Apply theorems on congruence of triangles to solve related problems

- Similarity
- Similar Figures
- Identify similar polygons
- Prove similarity theorems of triangles

- Geometric And Transformations
- Reflection
- Describe the characteristics of reflection in a plane
- Represent different reflections by drawings

- Rotations
- Describe characteristics of a rotation on a plane
- Represent different rotation on a plane by drawings

- Translation
- State properties of translations
- Represent translations drawings

- Enlargement
- Develop a scale of enlargement
- Construct enlargement of a given figures
- Draw figures to scale
- Find actual distances represented by a scale drawings

- Combined Transformations
- Draw combined transformations
- Solve simple problems on combined transformations

- Pythagoras Theorem
- Proof of Pythagoras Theorem
- Prove the Pythagoras theorem

- Application of Pythagoras Theorem
- Apply the Pythagoras theorem to solve daily life problems

- Trigonometry
- Trigonometric Rations
- Define sine, cosine and tangent of an angle using a right angled triangle

- Trigonometric Ratios of Special Angles
- Determine the sine, cosine and tangent of 30°, 45° and 60° without using mathematical tables
- Solve simple trigonometric problems related to special angles

- Trigonometric Tables
- Read the trigonometric ratios from tables
- Solve problems involving trigonometric ratios from tables

- Angles of Elevation and Depression
- Demonstrate angles of elevation and angles of depression
- Solve Problems involving angles of elevation and angles of depression

- Sets
- Description of a Set
- Define a set
- List the members of a set
- Name a set
- Distinguish sets by listing and by stating the members

- Types of Sets
- Define a universal set and an empty set
- Distinguish between finite and infinite sets
- Distinguish between equivalent and equal sets

- Subsets
- Define a subset
- List subsets of a given set
- Distinguish between proper and improper subsets
- Calculate the number of subsets in a set

- Operations With Sets
- Find union of two sets
- Find the compliment of a set
- Find the number of elements in the union and intersection of two sets

- Venn Diagrams
- Represent a sets by using venn diagrams
- Interpret information from venn diagrams

- Statistics
- Pictograms
- Display Information by pictograms
- Interpret pictograms

- Bar Charts
- Draw horizontal and vertical bar charts
- Interpret bar chart

- Line Graphs
- Represent data using line graphs
- Interpret line graphs

- Pie Chart
- Display data using pie charts
- Interpret pie charts

- Frequency Distribution Tables
- Make frequency distribution tables from raw data
- Interpret frequency distribution table form raw data
- Interpret frequency distribution tables

- Frequency Polygons
- Draw frequency polygons from frequency distribution tables
- Interpret frequency polygons

- Histograms
- Draw histograms from frequency distribution table
- Interpret histograms

- Cumulative Frequency Curves
- Draw cumulative frequency curves from a cumulative frequency distribution table
- Interpret a cumulative frequency curve

## MATHEMATICS FORM 2 SYLLABUS

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