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
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Ordering - order numbers
- use the following symbols correctly: =, ≠, >, <, ≥, ≤
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Factors and multiples - use prime numbers, common factors and common multiples
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Fractions and decimals -
Concept and notation - use fractions and decimals
- convert fractions to decimals, and vice versa
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Ordering - compare and order fractions and decimals
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The four operations - use the four operations for calculations with fractions and decimals
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Approximation and estimation -
Rounding off - round off numbers and measures to a specified degree of accuracy
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Estimation - make estimates of numbers and measures
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Use of a scientific calculator - use the relevant keys of a scientific calculator
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Squares, square roots, cubes and cube roots - find squares, square roots, cubes and cube roots of numbers
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Number sequences - continue a given number sequence
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Measures and money -
Mass, length, time and money - solve problems involving the use of units of mass, length, time, money
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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
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Rate - recognize and use common measures of rate
- solve problems involving rate
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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
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Simple financial transactions - solve problems on personal and household finance, and simple financial transactions
- extract data from tables and charts to solve problems
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Real numbers -
Integers - manipulate integers (positive, negative and zero)
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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
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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
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Simple algebraic manipulation - manipulate simple algebraic expressions
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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
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Simple solid figures - identify the following simple solid figures: cubes, cuboids, prisms, cylinders, pyramids, cones and spheres
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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
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Angles formed with parallel lines - calculate unknown angles involving:
- corresponding angles
- alternate angles
- interior angles between parallel lines
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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
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Angle properties of squares, rectangles, parallelograms and rhombuses - calculate unknown angles using the angle properties of
- squares
- rectangles
- parallelograms
- rhombuses
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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
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Practical uses of mathematics - solve mathematical problems in everyday life
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