# Mathematics

## Proficiencies

**Understanding** includes connecting number representations with number sequences, partitioning and combining numbers flexibly, representing unit fractions, using appropriate language to communicate times and identifying environmental symmetry.

**Fluency** includes recalling multiplication facts, using familiar metric units to order and compare objects, identifying and describing outcomes of chance experiments, interpreting maps and communicating positions.

**Problem Solving** includes formulating and modelling authentic situations involving planning methods of data collection and representation, making models of three-dimensional objects and using number properties to continue number patterns.

**Reasoning** includes using generalising from number properties and results of calculations, comparing angles, creating and interpreting variations in the results of data collections and data displays.

## Achievement Standard

By the end of the year students are expected to:

**Number and Algebra**

- count and order numbers to and from 10,000;
- recognise the connection between addition and subtraction, and solve problems using efficient strategies for multiplication with and without the use of digital technology;
- recall addition and multiplication facts for single-digit numbers;
- represent money values in various ways and correctly count out change from financial transactions;
- model and represent unit fractions for halves, thirds, quarters, fifths and eighths, and multiples of these up to one;
- classify numbers as either odd or even, continue number patterns involving addition or subtraction, and explore simple number sequences based on multiples.

**Measurement and Geometry**

- use metric units for length, mass and capacity;
- tell time to the nearest minute;
- identify symmetry in natural and constructed environments;
- use angle size as a measure of turn in real situations and make models of three-dimensional objects;
- match positions on maps with given information and create simple maps.

**Statistics and Probability**

- carry out simple data investigations for categorical variables;
- interpret and compare data displays;
- conduct chance experiments, list possible outcomes and recognise variations in results.