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Basic Mathematics Topics - Form Two

 

TOPIC 1: Exponents And Radicals

  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 

  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

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

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

TOPIC 6: Similarity

 

  1. Similar Figures

    • Identify similar polygons

    • Prove similarity theorems of triangles

TOPIC 7: Geometric And Transformations

  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

TOPIC 8: Pythagoras Theorem

  1. Proof of Pythagoras Theorem

    • Prove the pythagoras theorem

  2. Application of Pythagoras Theorem

    • Apply the pythagoras theorem to solve daily life problems

TOPIC 9: Trignometry

  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

TOPIC 10: Sets

  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

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

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