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.
Add and Subtract Fractions
Add Fractions with Unlike Denominators
Subtract Fractions with Unlike Denominators
Addition and Subtraction Equations with Fractions
Add Two Mixed Fractions
Subtract Two Mixed Fractions
Estimate Sums and Differences of Mixed Numbers
Add Mixed Numbers with Unlike Denominators
Subtract Mixed Numbers with Unlike Denominators
Addition and Subtraction Equations with Mixed Numbers
Multiply Fractions with Models
Multiply Fractions with Models
Multiply Fractions
Multiply a Mixed Number by a Whole Number
Add, Subtract Fractions with Like Denominators
Subtract Fractions
Add Fractions
Add and Subtract Fractions with Unlike Denominators
Add and Subtract Mixed Numbers
Multiply Fractions
Multiplication with Mixed Numbers
Divide Fractions and Mixed Numbers
Divide Fractions and Mixed Numbers Up to 1/16
Divide Fractions and Mixed Numbers Up to 1/16, 1/32
Divide Fractions and Mixed Numbers Up to 1/32
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.
Multiplication Patterns Over Increasing Place Values
Increasing Multiplication Patterns with Numbers Up to 10,000
Multiply Numbers Up to 1000 Ending in Zeros
Increasing Division Patterns
Division Patterns with Zeroes
Subtraction with Numbers Up to 5000000
Numbers Up to 5000000
Multiplication
Multiplication Up to 1000
Multiplication with Operands Up to 100 III
Multiply Three or More Numbers Up to 1000
Division with Dividends Up to 60
Division with Divisors Up to 100
Division with Dividend Up to 1000
Interpret Remainders
Divide Numbers Ending in Zeroes
Division with Divisors Up to 100
Mixed Equations with Whole Numbers
Multi-Step
Extra or Missing Information
Estimate Differences
Estimate Sums with Numbers Up to 100,000
Estimate Differences
Estimate Sums
Estimate Products Up to 1000
Choose Numbers with a Particular Sum
Choose Numbers with a Particular Difference
Choose Numbers with a Particular Product
Choose Numbers with a Particular Quotient
Solve Using Guess-And-Check
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.
Multiply Decimals Up to 20 Times Factors of 10
Increasing Decimal Division Patterns
Add and Subtract Decimals Up to 10
Add and Subtract Decimal Up to 100
Add and Subtract Decimals
Multiply Decimals and Whole Numbers
Division with Decimal Quotients
Mixed Decimal Equations
Add and Subtract Money: Up to $10,000
Multiply Money Amounts
Round Decimals
Estimate Sums and Differences of Decimals Up to 100
Estimate Sums and Differences of Decimals
Estimate Products of Decimal Numbers
Choose Decimals with a Particular Sum or Difference
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.
Calculate Mean
Calculate Mode
Calculate Median
Calculate Mean, Median, Mode and Range
Mean, Median, Mode, and Range: Find the Missing Number
Interpret Charts to Find Mean, Median, Mode, and Range
Interpret Charts to Find Median
Interpret Charts to Find Mean
Interpret Charts to Find Mode