# Mathematics

## Proficiencies

**Understanding** includes connecting number calculations with counting sequences, partitioning and combining numbers flexibly, identifying and describing the relationship between addition and subtraction and between multiplication and division.

**Fluency** includes counting numbers in sequences readily, using informal units repeatedly to compare measurements, using the language of chance to describe outcomes of familiar chance events and describing and comparing time durations.

**Problem Solving** includes formulating problems from authentic situations, making models and using number sentences that represent problem situations and matching transformations with their original shape.

**Reasoning** includes using known facts to derive strategies for unfamiliar calculations, comparing and contrasting related models of operations and creating and interpreting simple representations of data.

## Achievement Standard

By the end of the year students are expected to:

**Number and Algebra**

- count to and from, and order numbers up to 1000;
- perform simple addition and subtraction calculations, using a range of strategies;
- find the total value of simple collections of Australian notes and coins;
- represent multiplication and division by grouping into sets and divide collections and shapes into halves, quarters and eighths;
- recognise increasing and decreasing number sequences involving 2s, 3s, 5s and 10s, identify the missing element in a number sequence, and use digital technology to produce sequences by constant addition.

**Measurement and Geometry**

- order shapes and objects, using informal units for a range of measures;
- tell time to the quarter hour and use a calendar to identify the date, days, weeks and months included in seasons and other events;
- draw two-dimensional shapes, specify their features and explain the effects of one-step transformations;
- recognise the features of three-dimensional objects. They interpret simple maps of familiar locations.

**Statistics and Probability**

- collect data from relevant questions to create lists, tables and picture graphs with and without the use of digital technology;
- interpret data in context. Students describe outcomes of familiar events using everyday language.