Curriculum Shule Direct Tanzania Secondary School Form 2 Mathematics (New)

Mathematics (New) Form 2 Syllabus

  1. RATES AND VARIATIONS
    1. Rates<strong> </strong>
      1. Describe the concepts of rates and variations
    2. Variations<strong> </strong>
      1. Describe the concepts ofvariations and solve therelated problems.
  2. CONGRUENCE
    1. Concept of Congruence.
      1. Describe the concepts of congruence
    2. Postulates, Theorem and Proofs.
      1. Explain the concept of Postulates, Theorem and Proofs AND Solve the related problems.
      2. Explain postulates, proofs, and theorems of congruent triangles
    3. Congruence of Triangles.
      1. Explain the concept of congruence between two triangles.
      2. Recognize properties of congruent triangles
  3. SIMILARITY
    1. Similar Figures.
      1. Describe the concept of Similarity.
    2. Similar Triangles.
      1. Recognize properties of similar triangles and solve the related problems.
    3. Similarity Theorems
      1. Explore Similarity Theorems and solve the related Problems.
  4. ALGEBRA
    1. Binary operations
      1. Explore the basic tenets of binary operations and solve the related problems.
    2. Transposition of formulae
      1. Describe the concept of Transposition of formulae and solve the related problems
    3. Quadratic Expressions
      1. Explore the basic tenets of quadratic expressions<em>.</em>
    4. Factorization of Quadratic Expressions
      1. Explain the concept of factorization of quadratic expressions.
      2. Explore the different methods of factorizing quadratic expressions.
    5. Quadratic Equations
      1. Solve quadratic equations by using different methods <em>(factorization, </em><em>Completing the square, </em><em>and quadratic formula).</em>
  5. EXPONENTS AND RADICALS
    1. Exponents
      1. Explore the basic concepts of exponents.
    2. Laws of Exponents
      1. Identify and use laws of exponents involving positive, negative, and zero exponents AND use the laws to solve the related problems.
    3. Exponential Equations
      1. Identify exponential equations and use appropriate methods to solve them.
    4. Fractional Exponents
      1. Explore fractional exponents and solve the related problems.
    5. Radicals
      1. Describe the concept of Radicals and workout the related problems.
      2. Perform operations on radicals.
    6. Rationalization of Denominators
      1. Explore the concept of Rationalization of Denominators and solve the related problems
      2. Finding roots of Numbers by Calculators
  6. LOGARITHMS
    1. Standard form of Numbers
      1. Write numbers in standard form (Scientific notation).
    2. Concept of Logarithms
      1. Explain the Concept of Logarithms
    3. Laws of Logarithms
      1. Explore the Laws of Logarithms and use the laws of logarithms to solve problems.
    4. Logarithms of numbers
      1. Explore the basic tenets of Logarithms of numbers and solve the related problems.
    5. Anti-Logarithms
      1. Explore the basic ideas behind the Anti- Logarithms and solve the related problems.
    6. Application of Logarithms
      1. Apply the concept and laws of logarithms to solve different related mathematical problems.
  7. SETS
    1. Concept of a set
      1. Explore the basic tenets of sets.
    2. Types of Sets
      1. Explore the different types of sets and their Subsets.
    3. Operations on Sets
      1. Perform different operations with sets (union, intersection, and complement of a set).
    4. Venn Diagrams
      1. Represent different sets in a Venn diagram
      2. Find the number of elements in a set.
  8. TRIGONOMETRY
    1. Trigonometric Ratios
      1. Explore the concept of trigonometry and Trigonometric ratios.
    2. Trigonometric Ratios of Special angles
      1. Explore the special angles and their corresponding trigonometric ratios.
    3. Relationship Between Trigonometric Ratios
      1. Explore the relationship Between Trigonometric Ratios of an angle and solve the related problems.
    4. Calculating Trigonometric Ratios with a Calculator
      1. Use a Calculator to find the trigonometric ratios of a given angle.
    5. Inverse of Trigonometric Ratios
      1. Explain the Concept of Inverse of Trigonometric Ratios and workout the related problems.
    6. The angle of Elevation and Depression
      1. Explain the concept of angles of Elevation and Depression and solve the related problems.

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