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New Singapore Math 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
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Whole numbers
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The four operations
- use the four operations for calculations with whole numbers
-
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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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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