# 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:

- recognise the connection between addition and subtraction and solve problems using efficient strategies for multiplication;
- model and represent unit fractions;
- represent money values in various ways;
- identify symmetry in the environment;
- match positions on maps with given information;
- recognise angles in real situations;
- interpret and compare data displays;
- count to and from 10 000;
- classify numbers as either odd or even;
- recall addition and multiplication facts for single digit numbers;
- correctly count out change from financial transactions;
- continue number patterns involving addition and subtraction;
- use metric units for length, mass and capacity;
- tell time to the nearest minute;
- make models of three-dimensional objects;
- conduct chance experiments and list possible outcomes;
- carry out simple data investigations for categorical variables.