# Mathematics

## Proficiencies

**Understanding **includes making connections between representations of numbers, partitioning and combining numbers flexibly, extending place value to decimals, using appropriate language to communicate times, and describing properties of symmetrical shapes.

**Fluency** includes recalling multiplication tables, communicating sequences of simple fractions, using instruments to measure accurately, creating patterns with shapes and their transformations, and collecting and recording data.

**Problem Solving **includes formulating, modelling and recording authentic situations involving operations, comparing large numbers with each other, comparing time durations, and using properties of numbers to continue patterns.

**Reasoning **includes using generalising from number properties and results of calculations, deriving strategies for unfamiliar multiplication and division tasks, comparing angles, communicating information using graphical displays and evaluating the appropriateness of different displays.

## Achievement Standard

By the end of the year students are expected to:

- choose appropriate strategies for calculations involving multiplication and division;
- recognise common equivalent fractions in familiar contexts and make connections between fraction and decimal notations up to two decimal places;
- solve simple purchasing problems;
- identify unknown quantities in number sentences;
- describe number patterns resulting from multiplication;
- compare areas of regular and irregular shapes using informal units;
- solve problems involving time duration;
- interpret information contained in maps;
- identify dependent and independent events;
- describe different methods for data collection and representation, and evaluate their effectiveness;
- use the properties of odd and even numbers;
- recall multiplication facts to 10 x 10 and related division facts;
- locate familiar fractions on a number line;
- continue number sequences involving multiples of single digit numbers;
- use scaled instruments to measure temperatures, lengths, shapes and objects;
- convert between units of time;
- create symmetrical shapes and patterns;
- classify angles in relation to a right angle;
- list the probabilities of everyday events;
- construct data displays from given or collected data.