 New Singapore Maths Curriculum (Scope And Sequence) For 8th Grade / Secondary 2

Our 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
• Standard form

• read and write numbers in standard form A x 10n where n is a positive or negative integer, and 1 ≤ A < 10
• 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
• 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

• Simultaneous linear equations

• solve simultaneous linear equations in two unknowns
• solve problems involving simultaneous linear equations
• Simple fractional equations

• solve fractional equations involving numerical and linear algebraic denominators
• solve problems involving simple fractional 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
• Graphs in practical situations

• interpret and use graphs in practical situations
• draw graphs using data from practical situations

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
• Similar and congruent figures

• recognise similar and congruent figures
• find unknown sides/angles of similar/congruent figures
• 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
• Scale drawing

• read and make scale drawings

• 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
• 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
• Practical uses of mathematics

• solve mathematical problems in everyday life

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