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:

• skip count forwards and backwards by any single digit number starting from any starting point;
• recognise, model, represent and order numbers to 10,000;
• partition numbers to 10,000 using place value;
• apply place value to partition, rearrange and regroup numbers to at least 10,000 to solve problems;
• develop increasingly efficient mental strategies for computation, including partitioning and split;
• solve simple word problems involving addition or subtraction;
• combine knowledge of addition and subtraction facts and partitioning to aid computation;
• recall multiplication facts for single-digit numbers (2s, 5s and 10s) and for related division facts;
• calculate and model multiples of unit fractions for halves, thirds and quarters up to a complete whole;
• explain the terms numerator and denominator;
• correctly count out change from financial transactions;
• explore simple number sequences based on multiples;
• continue number patterns involving addition and subtraction;
• identify symmetry in the natural and constructed environment;
• create simple grid maps to show position and pathways;
• identify and describe flips, slides and turns in natural and built environments;
• compare angles in real situations;
• use metric units to measure, order and compare lengths, perimeters, masses and capacities of shapes or objects;
• tell and represent time to the nearest minute (digital and analogue clocks);
• identify and describe prisms and pyramids in natural and built environments;
• conduct chance experiments and list possible outcomes;
• create data displays using simple column graphs;
• interpret and compare student made data displays and describe their similarities and differences.