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.