Mathematics

Proficiencies

Understanding includes making connections between representations of numbers, using fractions to represent probabilities, comparing and ordering fractions and decimals and representing them in various ways, describing transformations and identifying line and rotational symmetry.

Fluency includes choosing appropriate units of measurement for calculation of perimeter and area, using estimation to check the reasonableness of answers to calculations and using instruments to measure angles.

Problem-Solving includes formulating and solving authentic problems using whole numbers and measurements and creating financial plans.

Reasoning includes investigating strategies to perform calculations efficiently, continuing patterns involving fractions and decimals, interpreting results of chance experiments,  posing appropriate questions for data investigations and interpreting data sets.

Achievement Standard

By the end of the year students are expected to:

• apply place value to partition, rearrange and regroup numbers in the hundreds of thousands to assist calculation and solve problems;
• solve problems using appropriate mental, written and technology-based computations depending on the nature of the problem (including word problems);
• check the reasonableness of answers using estimation and rounding;
• identify and describe factors and multiples;
• identify the relationship between fractions, decimals and percentages;
• compare, order and represent decimals;
• add and subtract fractions with the same denominators;
• continue patterns by adding and subtracting fractions and decimals;
• create a simple financial plan;
• develop an understanding of the GST and can identify the GST component of invoices and receipts;
• follow a mathematical algorithm involving branching and repetition;
• use equivalent number sentences involving multiplication and division to find unknown quantities;
• use appropriate units of measurement for length, area, volume, capacity and mass, and calculate perimeter and area;
• convert between 12 and 24 hour time;
• create a variety of two-dimensional nets to make three-dimensional objects;
• describe transformations of two-dimensional shapes and identify line and rotational symmetry;
• use a grid reference system to locate landmarks and describe routes using directional language;
• measure and construct different angles;
• pose questions to gather data, and construct, compare and interpret different data sets;
• list outcomes of chance experiments with equally likely outcomes and assign probabilities between 0 and 1.