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New Singapore Maths Curriculum (Scope And Sequence) For 7th Grade / Secondary 1

Our Singapore Math books for 7th Grade / Secondary 1 are written in English and based on Singapore Math curriculum for 7th Grade / Secondary 1, which covers the following topics.

If your child uses our Singapore Math books for 7th Grade / Secondary 1, he will be able to:

Arithmetic

  • Whole numbers

    • The four operations

      • use the four operations for calculations with whole numbers
    • Ordering

      • order numbers
      • use the following symbols correctly: =, ≠, >, <, ≥, ≤
    • Factors and multiples

      • use prime numbers, common factors and common multiples
  • Fractions and decimals

    • Concept and notation

      • use fractions and decimals
      • convert fractions to decimals, and vice versa
    • Ordering

      • compare and order fractions and decimals
    • The four operations

      • use the four operations for calculations with fractions and decimals
  • Approximation and estimation

    • Rounding off

      • round off numbers and measures to a specified degree of accuracy
    • Estimation

      • make estimates of numbers and measures
  • Use of a scientific calculator

    • use the relevant keys of a scientific calculator
  • Squares, square roots, cubes and cube roots

    • find squares, square roots, cubes and cube roots of numbers
  • Number sequences

    • continue a given number sequence
  • Measures and money

    • Mass, length, time and money

      • solve problems involving the use of units of mass, length, time, money
  • Ratio, proportion and rate

    • Ratio and proportion

      • find the ratio of two or more quantities
      • state the relationship between ratio and fraction
      • use direct and inverse proportion
      • solve problems involving ratio and proportion
    • Rate

      • recognize and use common measures of rate
      • solve problems involving rate
  • Percentage

    • convert between
      • percentage and fraction
      • percentage and decimal
    • calculate a given percentage of a quantity
    • express one quantity as a percentage of another
    • calculate percentage increase/decrease
    • solve problems involving percentage
  • Simple financial transactions

    • solve problems on personal and household finance, and simple financial transactions
    • extract data from tables and charts to solve problems
  • Real numbers

    • Integers

      • manipulate integers (positive, negative and zero)
    • Rational and irrational numbers

      • recognize rational and irrational numbers
      • manipulate rational numbers
      • find an approximate value of an irrational number with a calculator

Mensuration

  • Perimeter and area

    • find the perimeters and areas of squares, rectangles, triangles, parallelograms, trapeziums and circles
    • solve problems involving the perimeters and areas of squares, rectangles, triangles, parallelograms, trapeziums and circles
  • Volume and surface area

    • find the volumes and surface areas of cubes, cuboids, prisms and cylinders
    • solve problems involving the volumes and surface areas of cubes, cuboids, prisms and cylinders

Algebra

  • Algebraic expressions and formulae

    • use letters to represent numbers
    • express basic arithmetic processes algebraically
    • substitute numbers for words and letters in formulae and expressions
  • Simple algebraic manipulation

    • manipulate simple algebraic expressions
  • Simple linear equations

    • solve simple linear equations
    • solve problems involving linear equations

Geometry

  • Simple plane figures

    • identify the following plane figures:
      • triangles: isosceles triangles, equilateral triangles, right-angled triangles, acute-angled triangles, obtuse-angled triangles and scalene triangles
      • special quadrilaterals: squares, rectangles, parallelograms, rhombuses, trapeziums and kites
      • polygons: pentagons, hexagons, octagons and decagons
  • Simple solid figures

    • identify the following simple solid figures: cubes, cuboids, prisms, cylinders, pyramids, cones and spheres
  • Angle properties

    • Angles formed with a common vertex

      • calculate unknown angles involving:
        • adjacent angles on a straight line
        • vertically opposite angles
        • angles at a point
    • Angles formed with parallel lines

      • calculate unknown angles involving:
        • corresponding angles
        • alternate angles
        • interior angles between parallel lines
    • Angle properties of a triangle

      • calculate unknown angles involving:
        • angle sum of a triangle
        • base angles of an isosceles triangle
        • angles of an equilateral triangle
        • exterior angle of a triangle
    • Angle properties of squares, rectangles, parallelograms and rhombuses

      • calculate unknown angles using the angle properties of
        • squares
        • rectangles
        • parallelograms
        • rhombuses
    • Geometrical construction of simple geometrical figures

      • measure line segments and angles
      • draw line segments, angles, parallel lines and perpendicular lines
      • construct angle bisectors and perpendicular bisectors
      • construct simple geometrical figures from given data

Statistics

  • Handling data

    • collect, classify and tabulate data
    • read and interpret tables and statistical diagrams
    • construct a bar graph, pie chart, pictogram, dot diagram, line graph, stem and leaf diagram, and histogram with equal intervals

Problem solving

  • Problem solving heuristics

    • use appropriate heuristics to solve problems
  • Practical uses of mathematics

    • solve mathematical problems in everyday life

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