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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
-
Solutions of equations
-
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
-
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
-
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
-
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
-
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
-
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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