Numeracy learning continuum - ACARA

1 Numeracy learning continuum Level 1b Level 2 Level 3 Level 4 Level 5 Level 6. Level 1a Typically, by the end Sub-element Typically, by the end Typically, by the end Typically, by the end Typically, by the end Typically, by the end Students: of Foundation Year, of Year 2, students: of Year 4, students: of Year 6, students: of Year 8, students: of Year 10, students: students: Estimating and calculating with whole numbers element Understand and demonstrate connect and order model, represent, model, represent, identify, describe and compare, order and use different ways use numbers in concepts of counting number names.

2 Order and use order and use use numbers larger use positive and to represent very context using every day numerals and groups numbers up to four numbers up to five than one million negative numbers large and very small experiences of objects using digits digits to solve everyday numbers including numbers up to two problems scientific notation digits Estimate and recognise the effects solve everyday estimate the solution estimate a solution solve problems and solve complex solve and model calculate of adding to and addition and share to a problem and then to a problem and check calculations problems by problems involving taking away from a stories calculate the answer then check the using efficient mental estimating and complex data by collection of objects solution by recalling and written strategies calculating using estimating and addition, subtraction, efficient mental, calculating using a multiplication and written and digital variety of efficient division facts strategies mental.

3 Written and digital strategies Use money identify situations that recognise the identify and use estimate the create simple identify and justify evaluate financial involve the use of different value of combinations of coins change from simple financial plans, best value for plans to support money coins and notes in the and notes for simple purchases budgets and cost money' decisions specific financial Australian monetary purchases predictions goals system Recognise and using patterns and relationships element Recognise recognise simple describe and identify.

4 Describe identify and describe identify and describe identify trends using explain how the and use patterns in everyday continue patterns and create everyday trends in everyday pattern rules and number rules and practical application patterns and contexts patterns patterns relationships that help relationships of patterns can be relationships to identify trends used to identify trends Numeracy learning continuum Level 1b Level 2 Level 3 Level 4 Level 5 Level 6. Level 1a Typically, by the end Sub-element Typically, by the end Typically, by the end Typically, by the end Typically, by the end Typically, by the end Students: of Foundation Year, of Year 2, students: of Year 4, students: of Year 6, students: of Year 8, students: of Year 10, students: students.

5 Using fractions, decimals, percentages, ratios and rates element Interpret recognise a whole' recognise that a visualise and describe visualise, describe visualise, describe visualise and describe illustrate and order proportional and parts of a whole' whole object can be halves and quarters and order tenths, and order equivalent the proportions of relationships for reasoning within everyday divided into equal hundredths, 1-place fractions, decimals percentages, ratios fractions, decimals, contexts parts and 2-place decimals and simple and rates percentages, ratios percentages and rates Apply Level 1b is the identify quantities solve problems using solve problems solve problems using solve problems using solve problems proportional starting point for this such as more, halves and quarters using equivalent equivalent fractions, simple percentages, involving fractions, reasoning sub-element less and the fractions for tenths, decimals and simple ratios and rates decimals, same in everyday hundredths, 1-place percentages percentages.

6 Ratios comparisons and 2-place decimals and rates Using spatial reasoning element Visualise 2D sort or match objects sort and name simple identify, sort and visualise, sort, visualise, sort, visualise, describe visualise, describe shapes and 3D according to their 2D shapes and 3D describe common identify and describe describe and and apply their and analyse the way objects features objects 2D shapes and 3D symmetry, shapes compare the features understanding of shapes and objects objects and angles in the of objects such as the features and are combined and environment prisms and pyramids properties of 2D positioned in the in the environment shapes and 3D environment for objects different purposes Interpret maps demonstrate follow directions give and follow interpret information, identify and describe create and interpret create and interpret and diagrams awareness of position to demonstrate directions on maps locate positions and routes and locations.

7 2D and 3D maps, maps, models and of self and objects in understanding of and diagrams of describe routes on using grid reference models and diagrams diagrams using a relation to everyday common position familiar locations maps and diagrams systems and range of mapping contexts words and using simple directional language tools movements scales, legends and such as north or directional language north east Numeracy learning continuum Level 1b Level 2 Level 3 Level 4 Level 5 Level 6. Level 1a Typically, by the end Sub-element Typically, by the end Typically, by the end Typically, by the end Typically, by the end Typically, by the end Students: of Foundation Year, of Year 2, students: of Year 4, students: of Year 6, students: of Year 8, students: of Year 10, students: students.

8 Interpreting statistical information element Interpret display information recognise how to ask collect and describe collect, record and collect, compare, compare, interpret evaluate media data displays using real objects and answer simple data on a relevant display data as describe and interpret and assess the statistics and trends or photographs and data questions and issue based on one tables, diagrams, data as 2-way tables, effectiveness of by linking claims respond to questions interpret data in variable and display picture graphs and double column different data to data displays, about the information drawings or picture as lists, tables or column graphs graphs and sector displays of the same statistics and displayed graphs picture graphs graphs.

9 Including information representative data from digital media Interpret Level 1b is the recognise that some identify and describe describe possible describe chance describe and explain explain the likelihood chance events starting point for this events might or might familiar events that outcomes from events and compare why the actual results of multiple events sub-element not happen involve chance chance experiments observed outcomes of chance events are occurring together by using informal with predictions not always the same giving examples of chance language and using numerical as expected results situations when they recognising variations representations such might happen in results as a 75% chance of rain or 50/50 chance of snow Using measurement element Estimate and use informal measure by estimate, measure estimate.

10 Measure choose and use convert between solve complex measure with language and/or comparing objects and order using and compare the appropriate metric common metric problems involving metric units actions to describe and indicate if these direct and indirect length, temperature, units for length, area, units for volume and surface area and characteristics of measurements are comparisons and volume, capacity and volume, capacity capacity and use volume of prisms length, temperature, the same or different informal units to mass of everyday and mass to solve perimeter, area and and cylinders and mass, volume, collect and record objects using metric everyday problems volume formulas composite solids capacity and area in information about units and scaled to solve authentic familiar environments shapes and objects instruments problems Operate sequence familiar sequence familiar read digital and read digital a