What is being learnt?

Number and Algebra

Number and place value

• Identify and describe factors and multiples of whole numbers and use them to solve problems 
• Use estimation and rounding to check the reasonableness of answers to calculations 
• Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies
• Solve problems involving division by a one digit number, including those that result in a remainder 
• Use efficient mental and written strategies and apply appropriate digital technologies to solve problems

Fractions and decimals

• Compare and order common unit fractions and locate and represent them on a number line 
• Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator 
• Recognise that the place value system can be extended beyond hundredth

Money and financial mathematics

• Create simple financial plans

Patterns and algebra

• Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction
• Use equivalent number sentences involving multiplication and division to find unknown quantities

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Measurement and Geometry 

Using units of measurement

• Choose appropriate units of measurement for length, area, volume, capacity and mass
• Calculate the perimeter and area of rectangles using familiar metric units
• Compare 12- and 24-hour time systems and convert between them

Shape

• Connect three-dimensional objects with their nets and other two-dimensional representations 

Location and transformation

• Use a grid reference system to describe locations. Describe routes using landmarks and directional language
• Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries
• Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original

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Statistics and Probability 

Chance

• List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions
• Recognise that probabilities range from 0 to 1

Data representation and interpretation

• Pose questions and collect categorical or numerical data by observation or survey 
• Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies
• Describe and interpret different data sets in context 

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By the end of Year 5 students will be able to:

• Solve simple problems involving the four operations using a range of strategies;
• Check the reasonableness of answers using estimation and rounding;
• Identify and describe factors and multiples;
• Explain plans for simple budgets;
• Connect three-dimensional objects with their two-dimensional representations;
• Describe transformations of two-dimensional shapes and identify line and rotational symmetry;
• Compare and interpret different data sets;
• Order decimals and unit fractions and locate them on number lines;
• Add and subtract fractions with the same denominator;
• Continue patterns by adding and subtracting fractions and decimals 
• Find unknown quantities in number sentences;
•  Use appropriate units of measurement for length, area, volume, capacity and mass, and calculate perimeter and area of rectangles;
• Convert between 12 and 24 hour time;
• Use a grid reference system to locate landmarks;
• Measure and construct different angles;
• List outcomes of chance experiments with equally likely outcomes and assign probabilities between 0 and 1;
• Pose questions to gather data, and construct data displays appropriate for the data.

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Reference/s:

1. Australian Curriculum, Assessment and Reporting Authority (ACARA), http://www.australiancurriculum.edu.au/Year5