Curriculum Shule Direct Tanzania Secondary School Form 1 Mathematics (New)

Mathematics (New) Form 1 Syllabus

  1. CONCEPT OF MATHEMATICS
    1. Meaning of Mathematics
      1. Explain the Basic Concepts of Mathematics
    2. Branches of Mathematics
      1. State and Explain the Main Branches of Mathematics.
    3. Relationship between Mathematics and Other Subjects
      1. Explain the Relationship between Mathematics and Other Subjects.
    4. The Importance of Mathematics
      1. Explain the Importance of Mathematics.
    5. Topic Summary
  2. NUMBERS
    1. Concept of Numbers
      1. Explain the Concept of Numbers
    2. Rational Numbers
      1. Explain the Concept of Rational Numbers.
      2. Represent Rational Numbers on a Number Line
      3. Convert Repeating/Recurring Decimals into Fractions and Vice Versa
    3. Irrational Numbers
      1. Explain the Concept of Irrational Numbers
      2. Represent Irrational Numbers on a Number Line
    4. Real Numbers
      1. Explain the Concept of Real Numbers
    5. Inequalities in Real Numbers
      1. Explain the Concept of Linear Inequalities and Solve Related Problems
      2. Represent Real Numbers on a Number Line
      3. Make Comparisons of Real Numbers
    6. Absolute Value of Real Numbers
      1. Explain the Concept of the Absolute Value of a Real Number and Solve Related Problems
    7. Topic Summary
  3. APPROXIMATIONS
    1. Meaning of Approximation
      1. Explore the Concept of Approximations (Rounding Off, Significant Figures, and Decimal Places)
    2. Rounding Off Numbers
      1. Explain the Concept of Rounding Off Numbers
      2. Round Off Numbers by Place Value
      3. Round Off Numbers by Decimal Places
    3. Significant Figures
      1. Explain the Concept of Significant Figures
      2. Round Off Numbers Using Significant Figures
    4. Approximations in Calculations
      1. Use Approximations in Computations and Measurements of Quantities in Various Contexts
    5. Topic Summary
  4. RATIOS AND PROPORTIONS
    1. Ratios
      1. Explain the Concept of Ratios and Solve Related Problems.
    2. Proportions
      1. Explain the Concept of Proportions
      2. Explain Proportional Parts and Solve Related Problems
    3. Topic Summary
  5. ALGEBRA
    1. Algebraic Expressions
      1. Explore the Basic Concepts of Algebraic Expressions
      2. Simplify Algebraic Expressions
    2. Algebraic Equations
      1. Explore the Basic Concepts of Algebraic Equations
      2. Form Linear Algebraic Equations in One Unknown
      3. Solve Linear Equations in One Unknown
      4. Formulate and Solve Linear Equations from Word Problems
    3. Linear Simultaneous Equations
      1. Explore the Basic Concepts of Equations in Two Unknowns (Simultaneous Equations).
      2. Solve Linear Simultaneous Equations Using the Elimination Method
      3. Solve Linear Simultaneous Equations Using the Substitution Method
      4. Formulate and Solve Word Problems Involving Linear Simultaneous Equations
    4. Solution of Inequalities with One Unknown
      1. Explain the Concept of Linear Inequalities in One Unknown
      2. Solve Inequalities in One Unknown
    5. Topic Summary
  6. COORDINATE GEOMETRY
    1. Basic Concepts of Coordinate Geometry
      1. Explore the basic tenets of coordinate geometry and solve the related problems
    2. Gradient of a Straight Line
      1. Explain the Concept of the Gradient (Slope) of a Straight Line and Solve Related Problems
    3. Equation of a Straight Line
      1. Explore the Basic Idea Behind the Equation of a Straight line and Find the Solutions to the Related Problems.
      2. Find the Equation of a Straight Line Given Its Gradient and One Point on it
    4. General Equation of a Straight Line
      1. Explain the Concept of General Equation of the Straight line and Write the Linear Equations in the General Form, that is ax+by+c=0 and y=mx+c
    5. Graphing Linear Equations
      1. Graphing of Linear equations by table of values
      2. Explain the Concept of Intercepts (x and y intercepts) of Straight Lines
      3. Graph Linear Equations Using Intercepts
    6. Solving Linear Simultaneous Equations Graphically
      1. Explore the Basic Ideas Behind the Graphs of Linear Equations in Solving Linear Simultaneous Equations Graphically and Use Graphs to Solve Linear Simultaneous Equations.
    7. Topic Summary

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