New Singapore Maths Curriculum (Scope And Sequence) For 8th Grade / Secondary 2Our Singapore Maths books for 8th Grade / Secondary 2 are written in English and based on Singapore Math curriculum for 8th Grade / Secondary 2, which covers the following topics. If your child uses our Singapore Maths books for 8th Grade / Secondary 2, he will be able to: Arithmetic -
Arithmetic problems - solve problems involving measures, money, ratio, proportion, rate and speed, percentage, personal and household finance and simple financial transactions
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Standard form - read and write numbers in standard form A x 10n where n is a positive or negative integer, and 1 ≤ A < 10
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Number sequences - formulate the algebraic expression for the general term of a number sequence
Mensuration -
Volume and surface area - find the volumes and surface areas of spheres, pyramids and cones
- solve problems involving the volumes and surface areas of spheres, pyramids and cones
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Arc length and sector area - express arc length as a fraction of circumference and sector area as a fraction of the area of a circle
- find arc length and sector area
- solve problems involving arc length and sector area
Algebra -
Algebraic manipulation and formulae - expand products of simple algebraic expressions
- factorize algebraic expressions of the form:
ax + ay
ax + bx + kay + kby
a2x2 . b2y2
a2 ± 2ab + b2
ax2 + bx + c - manipulate simple algebraic fractions
- transform simple formulae
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Solutions of equations -
Simultaneous linear equations - solve simultaneous linear equations in two unknowns
- solve problems involving simultaneous linear equations
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Simple fractional equations - solve fractional equations involving numerical and linear algebraic denominators
- solve problems involving simple fractional equations
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Quadratic equations - solve quadratic equations by factorization
- solve problems involving quadratic equations
Graphs -
Graphs of linear and quadratic functions - use cartesian coordinates in two dimensions
- draw graphs of linear and quadratic functions
- use graphical methods to solve simultaneous linear equations
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Graphs in practical situations - interpret and use graphs in practical situations
- draw graphs using data from practical situations
Geometry -
Motion geometry -
Reflection, rotation, translation, enlargement - draw the reflection of a simple plane figure in horizontal or vertical lines
- draw the rotation of a simple plane figure, about the origin of the x-y plane, or a vertex or a mid-point of an edge of the figure, through multiples of 90°
- draw the translation of a simple plane figure in the x-y plane
- draw an enlargement of a given plane figure
- identify reflection, rotation, translation and enlargement of a given plane figure
- draw the image of a figure involving combined movements
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Similar and congruent figures - recognise similar and congruent figures
- find unknown sides/angles of similar/congruent figures
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Angle properties of polygon - calculate
- the sum of interior angles of a polygon
- the sum of exterior angles of a polygon
- calculate unknown angles of a polygon
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Scale drawing - read and make scale drawings
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Symmetry -
Line symmetry and rotational symmetry - identify line and rotational symmetry of plane figures
- use symmetrical properties of triangles, quadrilaterals and regular polygons
- use symmetrical properties of prisms, cylinders, pyramids and cones
Statistics -
Averages - find mean, median and mode
Trigonometry -
Pythagoras' theorem - state Pythagoras’ theorem
- apply Pythagoras’ theorem to find a side of a right-angled triangle
- solve problems applying Pythagoras’ theorem
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Trigonometrical ratios: sine, cosine and tangent - state the sine, cosine and tangent ratios for an acute angle of a right-angled triangle
- find the values of the trigonometrical ratios with a calculator
- apply the sine, cosine or tangent ratio for an acute angle to find
- a side of a right-angled triangle
- an angle of a right-angled triangle
- solve trigonometrical problems in two dimensions
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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