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