Basic Mathematics Topics - Form Two

 

TOPIC 1: Exponents And Radicals

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1. Exponents 

   • List the laws of exponents 

   • Verify the laws of exponents 

   • Apply laws of exponents in computations 

2. Radicals 

   • Simplify radicals 

   • Perform basic operations on radicals 

   • Rationalize the denominator 

   • Read square roots and cube roots of numbers from mathematical tables 

3. Transposition of Formula 

   • Re-arrange 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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1. Binary Operations 

   • Describe the binary operations 

   • Perform binary operations 

2. Brackets in Computation 

   • Perform basic operations involving brackets 

   • Simplify algebraic expressions involving the basic operations and brackets 

3. Quadratic Expressions 

   • Form a quadratic expression from two linear factors 

   • Write the general form of quadratic expression 

4. Factorization 

   • Factorize linear expressions 

   • Factorize quadratic expressions 

 

TOPIC 3: Quadratic Equations

 

1. Solving Equations

   • Determine the solution of a quadratic equation by factorization

   • Find the solution of a quadratic equation by completing the square

2. General Solution of Quadratic Equations

   • Derive the quadratic formula

   • Solve quadratic equations using quadratic formula

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TOPIC 4: Logarithms

 

1. Standard Form

   • Write numbers in standard form

   • Perform computations which involved multiplication and division of numbers expressed in standard form

2. 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

 

1. 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

 

1. Similar Figures

   • Identify similar polygons

   • Prove similarity theorems of triangles

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TOPIC 7: Geometric And Transformations

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1. Reflection

   • Describe the characteristics of reflection in a plane

   • Represent different reflections by drawings

2. Rotations

   • Describe characteristics of a rotation on a plane

   • Represent different rotation on a plane by drawings

3. Translation

   • State properties of translations

   • Represent translations drawings

4. Enlargement

   • Develop a scale of enlargement

   • Construct enlargement of a given figures

   • Draw figures to scale

   • Find actual distances represented by a scale drawings

5. Combined Transformations

   • Draw combined transformations

   • Solve simple problems on combined transformations

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TOPIC 8: Pythagoras Theorem

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1. Proof of Pythagoras Theorem

   • Prove the pythagoras theorem

2. Application of Pythagoras Theorem

   • Apply the pythagoras theorem to solve daily life problems

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TOPIC 9: Trignometry

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1. Trigonometric Rations

   • Define sine, cosine and tangent of an angle using a right angled triangle

2. 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

3. Trigonometric Tables

   • Read the trigonometric ratios from tables

   • Solve problems involving trigonometric ratios from tables

4. 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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1. 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

2. Types of Sets

   • Define a universal set and an empty set

   • Distinguish between finite and infinite sets

   • Distinguish between equivalent and equal sets

3. Subsets

   • Define a subset

   • List subsets of a given set

   • Distinguish between proper and improper subsets

   • Calculate the number of subsets in a set

4. 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

5. Venn Diagrams

   • Represent a sets by using venn diagrams

   • Interpret information from venn diagrams

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TOPIC 11: Statistics

 

1. Pictograms

   • Display Information by pictograms

   • Interpret pictograms

2. Bar Charts

   • Draw horizontal and vertical bar charts

   • Interpret bar chart

3. Line Graphs

   • Represent data using line graphs

   • Interpret line graphs

4. Pie Chart

   • Display data using pie charts

   • Interpret pie charts

5. Frequency Distribution Tables

   • Make frequency distribution tables from raw data

   • Interpret frequency distribution table form raw data

   • Interpret frequency distribution tables

6. Frequency Polygons

   • Draw frequency polygons from frequency distribution tables

   • Interpret frequency polygons

7. Histograms

   • Draw histograms from frequency distribution table

   • Interpret histograms

8. Cumulative Frequency Curves

   • Draw cumulative frequency curves from a cumulative frequency distribution table

   • Interpret a cumulative frequency curve