Topic 1: Exponents And Radicals
a). Exponents
i. List the laws of exponents
ii. Verify the laws of exponents
iii. Apply laws of exponents in computations
b). Radicals
i. Simplify radicals
ii. Perform basic operations on radicals
iii. Rationalize the denominator
iv. Read square roots and cube roots of numbers from mathematical tables
c). Transposition of Formula
i. Re-arrange letters so that one letter is the subject of the formula
ii. Transpose a formulae with square roots and square
Topic 2: Algebra
a). Binary Operations
i. Describe the binary operations
ii. Perform binary operations
b). Brackets in Computation
i. Perform basic operations involving brackets
ii. Simplify algebraic expressions involving the basic operations and brackets
c). Quadratic Expressions
i. Form a quadratic expression from two linear factors
ii. Write the general form of quadratic expression
d). Factorization
i. Factorize linear expressions
ii. Factorize quadratic expressions
Topic 3: Quadratic Equations
a). Solving Equations
i. Determine the solution of a quadratic equation by factorization
ii. Find the solution of a quadratic equation by completing the square
b). General Solution of Quadratic Equations
i. Derive the quadratic formula
ii. Solve quadratic equations using quadratic formula
Topic 4: Logarithms
a). Standard Form
i. Write numbers in standard form
ii. Perform computations which involved multiplication and division of numbers expressed in standard form
b). Laws Of Logarithms
i. State the laws of logarithms
ii. Verify the laws of logarithms using the knowledge of exponents
iii. Use the laws of Logarithms to simplify logarithmic expressions
iv. Solve logarithmic equation
v. Apply laws of logarithms to find products, quotients, roots and powers of numbers
vi. Apply logarithmic tables to find products and quotients of numbers computation
vii. Apply logarithmic tables to find roots and power of numbers
Topic 5: Congruence
a). Congruence of Triangles
i. Determine the conditions for congruence of triangles
ii. Prove congruence of triangle
iii. Apply theorems on congruence of triangles to solve related problems
Topic 6: Similarity
a). Similar Figures
i. Identify similar polygons
ii. Prove similarity theorems of triangles
Topic 7: Geometric And Transformations
a). Reflection
i. Describe the characteristics of reflection in a plane
ii. Represent different reflections by drawings
b). Rotations
i. Describe characteristics of a rotation on a plane
ii. Represent different rotation on a plane by drawings
c). Translation
i. State properties of translations
ii. Represent translations drawings
d). Enlargement
i. Develop a scale of enlargement
ii. Construct enlargement of a given figures
iii. Draw figures to scale
iv. Find actual distances represented by a scale drawings
e). Combined Transformations
i. Draw combined transformations
ii. Solve simple problems on combined transformations
Topic 8: Pythagoras Theorem
a). Proof of Pythagoras Theorem
i. Prove the Pythagoras theorem
b). Application of Pythagoras Theorem
i. Apply the Pythagoras theorem to solve daily life problems
Topic 9: Trignometry
a). Trigonometric Ratios
i. Define sine, cosine, and tangent of an angle using a right-angled triangle
b). Trigonometric Ratios of Special Angles
i. Determine the sine, cosine, and tangent of 30°, 45°, and 60° without using mathematical tables
ii. Solve simple trigonometric problems related to special angles
c). Trigonometric Tables
i. Read the trigonometric ratios from tables
ii. Solve problems involving trigonometric ratios from tables
d). Angles of Elevation and Depression
i. Demonstrate angles of elevation and angles of depression
ii. Solve Problems involving angles of elevation and angles of depression
Topic 10. Sets
a). Description of a Set
i. Define a set
ii. List the members of a set
iii. Name a set
iv. Distinguish sets by listing and by stating the members
b). Types of Sets
i. Define a universal set and an empty set
ii. Distinguish between finite and infinite sets
iii. Distinguish between equivalent and equal sets
c). Subsets
i. Define a subset
ii. List subsets of a given set
iii. Distinguish between proper and improper subsets
iv. Calculate the number of subsets in a set
d). Operations With Sets
i. Find union of two sets
ii. Find the complement of a set
iii. Find the number of elements in the union and intersection of two sets
e). Venn Diagrams
i. Represent a set by using Venn diagrams
ii. Interpret information from Venn diagrams
Topic 11: Statistics
a). Pictograms
i. Display Information by pictograms
ii. Interpret pictograms
b). Bar Charts
i. Draw horizontal and vertical bar charts
ii. Interpret bar chart
c). Line Graphs
i. Represent data using line graphs
ii. Interpret line graphs
d). Pie Chart
i. Display data using pie charts
ii. Interpret pie charts
e). Frequency Distribution Tables
i. Make frequency distribution tables from raw data
ii. Interpret frequency distribution table form raw data
iii. Interpret frequency distribution tables
f). Frequency Polygons
i. Draw frequency polygons from frequency distribution tables
ii. Interpret frequency polygons
g). Histograms
i. Draw histograms from frequency distribution table
ii. Interpret histograms
h). Cumulative Frequency Curves
i. Draw cumulative frequency curves from a cumulative frequency distribution table
ii. Interpret a cumulative frequency curve