New Singapore Maths Curriculum (Scope And Sequence) For 7th Grade / Secondary 1Our 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, rightangled triangles, acuteangled triangles, obtuseangled 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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