Curriculum Shule Direct Kenya Secondary School Form 1 Mathematics

Mathematics Form 1 Syllabus

  1. Natural Numbers
    1. Place values of numbers
      1. Identify the place values of the numbers
    2. Round off numbers to the nearest tens, hundreds, thousands, millions and billions
      1. Round off numbers to the nearest tens, hundreds, thousands, millions and billions
    3. Odd numbers, Even numbers and prime numbers
      1. What are Odd numbers, Even numbers and prime numbers
    4. Word problems involving natural numbers
      1. Word problems involving natural numbers
  2. Factors
    1. Factors of composite numbers
      1. Factors of composite numbers
    2. Prime factors
      1. Prime factors
      2. Factors in power form
  3. Divisibility tests
    1. Divisibility test of numbers by 2,3,4,
      1. Divisibility test of numbers by 2,3,4,
    2. Divisibility test of numbers by 5,6,8
      1. Divisibility test of numbers by 5,6,8
    3. Divisibility test of numbers by 9,10 and 11
      1. Divisibility test of numbers by 9,10 and 11
  4. Greatest Common Divisor (GCD)/ Highest Common Factor (HCF)
    1. Greatest common divisor of a set of numbers
      1. Greatest common divisor of a set of numbers
      2. Application of GCD
  5. Least Common Multiple (L.C.M.)
    1. Least Common Multiple (L.C.M.)
      1. Multiples of a number
      2. LCM of a set of numbers
      3. Application of LCM in real life situations
  6. Integers
    1. Integers
      1. Integers
      2. The number line
      3. Operation on integers
      4. Order of operations
      5. Applications to real life situations
  7. Fractions
    1. Fractions
      1. Fractions
      2. Proper, improper fractions and mixed numbers
      3. Conversions of improper fractions to mixed fractions and vice versa
      4. Comparing fractions
      5. Operations on fractions
      6. Order of operations on fractions
      7. Word problems involving fractions in real life situations
  8. Decimals
    1. Decimals
      1. Fractions and decimals
      2. Recurring decimals
      3. Recurring decimals and fractions
      4. Decimal places
      5. Standard form
      6. Operations on decimals
      7. Order of operations
      8. Real life problems involving decimals
  9. Squares and Square Roots
    1. Squares and Square Roots
      1. Squares by multiplications
      2. Squares from tables
      3. Square roots by factorization
      4. Square roots from tables
  10. Algebraic Expressions
    1. Algebraic Expressions
      1. Letters of numbers
      2. Algebraic expressions including algebraic fractions
      3. Simplification of algebraic expressions
      4. Factorization by grouping
      5. Removal of brackets
      6. Substitution and evaluation
      7. Problem solving in real life situation
  11. Rates, Ratio, Percentages and Proportion
    1. Rates, Ratio, Percentages and Proportion
      1. Rates
      2. Solving problems involving rates
      3. Ratio
      4. Comparing quantities using ratio
      5. Increase and decrease in a given ratio
      6. Comparing ratios
      7. Proportion: direct and inverse
      8. Solve problems involving direct and inverse proportions
      9. Fractions and decimals as percentages
      10. Percentage increase and decrease
      11. Application of rates,ratios,percentages and proportion to real life situations
  12. Length
    1. Length
      1. Units of length
      2. Conversion of units of length from one form to another
      3. Significant figures
      4. Perimeter
      5. Circumference (include length of arcs)
  13. Area
    1. Area
      1. Units of area
      2. Conversion of units of area
      3. Area of regular plane figures
      4. Area of irregular plane shapes
      5. Surface area of cube, cuboid and cylinder
  14. Volume and Capacity
    1. Volume and Capacity
      1. Units of volume
      2. Conversion of units of volume
      3. Units of capacity
      4. Conversion of units of capacity
      5. Relationship between volume and capacity
      6. Solving problems involving volume and capacity
  15. Mass, Density and Weight
    1. Mass, Density and Weight
      1. Mass and units of mass
      2. Density
      3. Problem solving involving real life experiences on mass, volume and density and weight
      4. Weight and units of weight
      5. Mass and weight
  16. Time
    1. Time
      1. Units of time
      2. 12 hour and 24 hour systems
      3. Travel time-tables
      4. Problem solving involving travel time-tables
  17. Linear Equations
    1. Linear Equations
      1. Linear equations in one unknown
      2. Simultaneous linear equations
      3. Formation and solution of linear equations in one and two unknowns from given real life situations
  18. Commercial Arithmetic
    1. Commercial Arithmetic
      1. Currency
      2. Current currency exchange rates
      3. Currency conversion
      4. Profit and loss
      5. Percentage profit and loss
      6. Discounts and commission
      7. Percentage discounts and commissions
  19. Co-ordinates and Graphs
    1. Co-ordinates and Graphs
      1. Cartesian plane
      2. Cartesian co-ordinates
      3. Points on the cartesian plane
      4. Choice of appropriate scale
      5. Table of values for a given linear relation
      6. Linear graphs
      7. Graphical solutions of simultaneous linear equations
      8. Interpretation of graphs
  20. Angles and Plane Figures
    1. Angles and Plane Figures
      1. Types of angles
      2. Angles on a straight line
      3. Angles at a point
      4. Angles on a transversal
      5. Corresponding angles
      6. Angle properties of polygons
      7. Application to real life situations
  21. Geometrical Constructions
    1. Geometrical Constructions
      1. Construction of lines and angles using a ruler and compasses only
      2. Construction of perpendicular and parallel lines using a ruler and a set square only
      3. Proportional division of a line
      4. Construction of regular polygons (up to a hexagon)
      5. Construction of irregular polygons (up to a hexagon)
  22. Scale Drawing
    1. Scale Drawing
      1. Types of scales
      2. Choices of scales
      3. Sketches from given information and scale drawing
      4. Bearings
      5. Beaings, distance and locating points
      6. Angles of elevation and depression
      7. Solving problems involving bearings, scale drawings, angles of elevation and depression
      8. Simple surveying techniques
  23. Common Solids
    1. Common Solids
      1. Common solids e.g cubes,cuboids,pyramids,prisms,cones,spheres, cylinders etc
      2. Sketches of solids
      3. Nets of solids
      4. Models of solids from nets
      5. Surface area of solids from nets (include vubes, cuboids, cones, pyramids, prisms)
      6. Distance between two points on the surface of a solid

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