Primary 5 Mathematics

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Fraction

- Comparing fractions
- Equivalent fractions
- Dividing a fraction by a whole number
- Dividing by a proper fraction
- Fractions and division
- Addition and subtraction of algebraic fractions with linear or quadratic denominator
- Product of a fraction and a whole number
- Product of two fractions
- Product of a mixed number and a whole number
- Solving word problems involving fractions
- Finding the middle fractions of 2 fractions
- Fractions of the remainder
- Converting fractions to decimals
- Comparing fractions and decimals and rearranging them
- Multiplying a proper/improper fraction & a whole number without a calculator
- Multiplying a proper fraction & a proper/improper fraction without a calculator
- Multiplying two improper fractions

Whole Number

- Age problems
- Basics
- Comparing and ordering numbers
- Dividing by 10, 100, 1000 and their multiples
- Factors and multiples
- Gap problems
- Multiplying by 10, 100, 1000 and their multiples
- Number notation, representations, and place values
- Numbers up to 10 million
- Order of operations
- Patterns
- Patterns in number sequences
- Place value
- Reading and writing numbers in numerals and in words
- Rounding and estimation
- Word problems involving whole numbers

Ratio

- Finding ratios
- Equivalent ratios
- Comparing three quantities
- Ratio and fraction
- Comparing ratios
- Word problems involving ratio
- Notation, representation & interpretations of a:b and a:b:c where a, b and are whole numbers
- Dividing a quantity in a given ratio
- Expressing a ratio in its simplest form
- Finding the missing term in a pair of equivalent ratios

Percentage

- Percentages as fractions and decimals
- Percentage of a quantity
- Finding percentages
- Percentage change
- Solving word problems involving percentages
- Percentage remainder
- Percentage Profit and Loss
- Percentage Discount
- Percentage Interest
- Percentage GST
- Use of %
- Expressing a part of a whole as a percentage

Angles

- Angles at a point
- Angles on a straight line
- Classifying triangles
- Drawing of angles
- Drawing triangles
- Finding unknown angles
- Finding unknown angles in geometric figures
- Complex problem solving with angles
- Right-angled, isosceles and equilateral triangles
- Sum of angles in a triangle
- Vertically opposite angles

Volume of Cubes and Cuboids

- Volume of a solid
- Drawing cubes and cuboids
- Volume of a cube and a cuboid
- Volume of a solid and liquid
- Word problems involving volume
- Converting volumes between litres, millilitres and cubic centimetres 1
- Converting volumes between litres, millilitres and cubic centimetres 2

Decimals

- Basics
- Converting measurements
- Dividing by 10, 100, 1000 and their multiples
- Multiplying by 10, 100, 1000 and their multiples
- Rounding and estimation
- Comparing fractions and decimals and rearranging them
- Solving word problems involving decimals

Quadrilaterals

- Classifying quadrilaterals: Parallelograms
- Classifying quadrilaterals: Rhombuses
- Classifying quadrilaterals: Trapeziums
- Finding unknown angles
- Drawing four
- Properties of parallelogram, rhombus and trapezium

Rate

- Word problems involving rate
- Finding rate, total number or number of units given the other two quantities
- Rate as the amount of a quantity per unit of another quantity

Graphs

- Word Problem involving tables
- Word Problem involving line graphs
- Word problem involving bar graph
- Reading and interpreting pie charts

Algebra

- Evaluating algebraic expressions
- Simplifying algebraic expressions
- Solving word problems
- Using letters to represent numbers

Geometry

- 8-point direction
- Symmetry
- Parallel and Perpendicular lines
- Shapes (Circles, semi circle)
- Lines (Straight Line)

Average

- Relationship between average, total value, and number of data
- Calculating average
- Word problems involving average

Circles

- Area of a circle
- Circumference of a circle
- Radius and diameter of a circle
- Area and circumference of circles in composite figures

Area and Perimeter

- Basics
- Area and perimeter of composite figures
- Overlapping figures
- Problem solving

Money

- Word Problem involving the exchange of money
- Solving word problems involving money

Measurement

- Length
- Mass
- Money
- Time
- Volume

Area of a Triangle

- Area of a triangle
- Area of triangle in composite figures
- Finding/Identifying height and base of a triangle

Speed

- Distance and speed
- Average Speed
- Solving word problems involving speed

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