Basic Mathematics Topics  Form Two
TOPIC 1: Exponents And Radicals
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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

Rearrange letters so that one letter is the subject of the formula

Transpose a formulae with square roots and square

TOPIC 2: Algebra
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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

TOPIC 3: 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

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TOPIC 4: 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

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TOPIC 5: 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

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TOPIC 6: Similarity

Similar Figures

Identify similar polygons

Prove similarity theorems of triangles

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TOPIC 7: Geometric And Transformations
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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

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TOPIC 8: Pythagoras Theorem
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Proof of Pythagoras Theorem

Prove the pythagoras theorem


Application of Pythagoras Theorem

Apply the pythagoras theorem to solve daily life problems

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TOPIC 9: Trignometry
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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

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TOPIC 10: Sets
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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

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TOPIC 11: 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
