Mathematics · Year 5

Interpret, compare and order numbers with more than 2 decimal places, including numbers greater than one, using place value understanding; represent these on a number line AC9M5N01 Compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line AC9M5N03 Recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents AC9M5N04 Solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies AC9M5N05 Solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction AC9M5N07

Express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another AC9M5N02 Solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers AC9M5N06

Check and explain the reasonableness of solutions to problems including financial contexts using estimation strategies appropriate to the context AC9M5N08 Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems, choosing operations and efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation AC9M5N09

Create and use algorithms involving a sequence of steps and decisions and digital tools to experiment with factors, multiples and divisibility; identify, interpret and describe emerging patterns AC9M5N10

Recognise and explain the connection between multiplication and division as inverse operations and use this to develop families of number facts AC9M5A01 Find unknown values in numerical equations involving multiplication and division using the properties of numbers and operations AC9M5A02

Choose appropriate metric units when measuring the length, mass and capacity of objects; use smaller units or a combination of units to obtain a more accurate measure AC9M5M01 Solve practical problems involving the perimeter and area of regular and irregular shapes using appropriate metric units AC9M5M02 Compare 12- and 24-hour time systems and solve practical problems involving the conversion between them AC9M5M03

Estimate, construct and measure angles in degrees, using appropriate tools including a protractor, and relate these measures to angle names AC9M5M04

Connect objects to their nets and build objects from their nets using spatial and geometric reasoning AC9M5SP01

Construct a grid coordinate system that uses coordinates to locate positions within a space; use coordinates and directional language to describe position and movement AC9M5SP02 Describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise what changes and what remains the same, and identify any symmetries AC9M5SP03

Acquire, validate and represent data for nominal and ordinal categorical and discrete numerical variables to address a question of interest or purpose using software including spreadsheets; discuss and report on data distributions in terms of highest frequency (mode) and shape, in the context of the data AC9M5ST01 Interpret line graphs representing change over time; discuss the relationships that are represented and conclusions that can be made AC9M5ST02 Plan and conduct statistical investigations by posing questions or identifying a problem and collecting relevant data; choose appropriate displays and interpret the data; communicate findings within the context of the investigation AC9M5ST03

List the possible outcomes of chance experiments involving equally likely outcomes and compare to those which are not equally likely AC9M5P01 Conduct repeated chance experiments including those with and without equally likely outcomes, observe and record the results ; use frequency to compare outcomes and estimate their likelihoods AC9M5P02