Math Games

Concept of fraction as division
• 1.1 association of a fraction with division,
• 1.2 conversion between fractions and decimals.

Four operations
• 2.1 addition and subtraction of proper fractions without using calculators,
• 2.2 addition and subtraction of mixed numbers,
• 2.3 multiplication of a proper fractions and a proper/ improper fraction without using calculators,
• 2.4 multiplication of an improper fraction and an improper fraction,
• 2.5 multiplication of a mixed number and a whole number,
• 2.6 division of a proper fraction by a whole number without using calculators,
• 2.7 solving word problems involving the 4 operations.

Numbers up to 10 million
• 1.1 reading and writing numbers in numerals and in words,
• 1.2 rounding off numbers to the nearest 1000.

Four operations
• 2.1 multiplication and division by tens, hundreds and thousands without using calculators,
• 2.2 solving word problems involving the 4 operations,
• 2.3 estimation of answers in calculations,
• 2.4 checking reasonableness of answers.

Order of operations
• 3.1 combined operations involving the 4 operations,
• 3.2 use of brackets.

Length, mass and volume
• 1.1 conversion of a measurement from a smaller unit to a larger unit in decimal form, and vice versa,
- kilometres and metres
- metres and centimetres
- kilograms and grams
- litres and millilitres

Angles
• 1.1 angles on a straight line,
• 1.2 angles at a point,
• 1.3 vertically opposite angles.

Triangle
• 2.1 identifying and naming the following types of triangles
- isosceles triangle,
- equilateral triangle,
- right-angled triangle,
• 2.2 use of the property that the angle sum of a triangle is 180°,
• 2.3 finding unknown angles,
• 2.4 drawing a triangle from given dimensions using ruler, protractor and set squares.

Area of triangle
• 2.1 identifying the base of a triangle and its corresponding height,
• 2.2 use of formula to calculate the area of a triangle.

Parallelogram, rhombus and trapezium
• 3.1 identifying and naming parallelogram, rhombus and trapezium,
• 3.2 properties of parallelogram, rhombus and trapezium,
• 3.3 finding unknown angles,
• 3.4 drawing a square/rectangle/parallelogram/rhombus/trapezium from given dimensions using ruler, protractor and set squares.

Volume of cube and cuboid
• 3.1 building solids with unit cubes,
• 3.2 measurement of volume in cubic units,
• 3.3 drawing cubes and cuboids on an isometric grid,
• 3.4 measurement of volume in cubic centimetres (cm³)/ cubic metres (m³),
• 3.5 use of formula to calculate the volume of a cube/ cuboid,
• 3.6 finding the volume of liquid in a rectangular tank,
• 3.7 conversion between l, ml and cm³,
• 3.8 solving up to 3-step word problems involving the volume of a cube/ cuboid.

Percentage
• 1.1 expressing a part of a whole as a percentage,
• 1.2 use of the percentage symbol (%),
• 1.3 writing fractions and decimals as percentages, and vice versa,
• 1.4 finding a percentage part of a whole,
• 1.5 solving up to 2-step word problems involving percentage,
• 1.6 discount, GST and annual interest.

Four operations
• 1.1 multiplication and division of decimals (up to 3 decimal places) by tens, hundreds and thousands without using calculators,
• 1.2 solving word problems involving the 4 operations,
• 1.3 rounding off answers to a specified degree of accuracy,
• 1.4 estimation of answers in calculations,
• 1.5 checking reasonableness of answers.

Ratio
• 1.1 interpretation of a : b and a : b : c, where a, b and c are whole numbers,
• 1.2 writing equivalent ratios,
• 1.3 expressing a ratio in its simplest form,
• 1.4 finding the ratio of two or three given quantities,
• 1.5 finding the missing term in a pair of equivalent ratios,
• 1.6 finding one quantity given the other quantity and their ratio,
• 1.7 solving up to 2-step word problems involving ratio.

Average of a set of data
• 1.1 interpretation of average as "total amount ÷ number of items",
• 1.2 calculation of the average number/quantity,
• 1.3 finding the total amount given the average and the number of items,
• 1.4 solving word problems involving average.