Exponents And Radicals
Exponents
List the laws of exponents
Verify the laws of exponents
Apply laws of exponents in computations
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
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
List the members of 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
List subsets of a given set
Distinguish between proper and improper subsets
Calculate the number of subsets in a set
Operations With 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
Bar Charts
Draw horizontal and vertical bar charts
Line Graphs
Represent data using line graphs
Pie Chart
Display data using 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
Cumulative Frequency Curves
Draw cumulative frequency curves from a cumulative frequency distribution table
Interpret a cumulative frequency curve
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