 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

• 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

• 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

• 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

• Mass, length, time and money

• solve problems involving the use of units of mass, length, time, money

• 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

• 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

• 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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