Problem-Solving
In F–2, students solve problems when they use mathematics to represent unfamiliar or meaningful situations. In Years 3–6, students solve problems when they use mathematics to represent unfamiliar or meaningful situations and plan their approaches. In Years 7–8, …
Problem-Solving | Portfolios | Mathematics proficiencies | Resources
Toowoomba Grammar School
The mathematics coordinator at Toowoomba Grammar led the staff to undertake a change in the way mathematics was taught in the school. The focus was on differentiation of the curriculum to meet the learning needs of the students. The coordinator felt that …
Toowoomba Grammar School | Illustrations of practice | Mathematics proficiencies | Resources
Hale School
The Hale School took an initiative to assist students to develop strategies to ingrain ways of thinking mathematically into their learning. They took on a focus of problem-based learning and realised, with the implementation of the Australian Curriculum: …
Hale School | Illustrations of practice | Mathematics proficiencies | Resources
Reasoning
In F–2, students develop an increasingly sophisticated capacity for logical thought and actions. Students are reasoning mathematically when they explain their thinking. In Years 3–6, students develop an increasingly sophisticated capacity for logical …
Reasoning | Portfolios | Mathematics proficiencies | Resources
Measurement and geometry: The combined area of spaces - WS3
Students were asked to solve the following problem: ‘The school has been donated 36 square metres of artificial grass that need to be laid in the upper playground to create two quiet areas. Draw at least two possible solutions on grid paper displaying …
Measurement and geometry: The combined area of spaces - WS3 | Samples | Mathematics proficiencies | Resources
Number and algebra: Fractions and decimals and percentages – WS4
Students were given the following problem to solve: ‘A school is enclosed by a fence that has sides of equal length. 60% of the whole fence has been painted black. How many different ways can you draw what the fence might look like? Look at each of your …
Number and algebra: Fractions and decimals and percentages – WS4 | Samples | Mathematics proficiencies | Resources
Number and algebra: Simplifying fractions - WS7
Students were asked to solve a problem, where they had to determine the missing numerator in a fraction. They were given a set of clues to calculate the numerator.
Number and algebra: Simplifying fractions - WS7 | Samples | Mathematics proficiencies | Resources
Number and algebra: My thinkboard - WS2
The students were presented with a basket containing five skipping ropes. They were told that previously there was a basket full of skipping ropes and were asked to list three different solutions to how many skipping ropes had gone missing. Students gave …
Number and algebra: My thinkboard - WS2 | Samples | Mathematics proficiencies | Resources
Number and algebra: Game show – Licence to solve – WS6
Students participated in a dice rolling game where they rolled two number dice and an operation die to determine the mathematical operation to be performed. The winner was the student with the highest number.
Number and algebra: Game show – Licence to solve – WS6 | Samples | Mathematics proficiencies | Resources
Number and algebra: Archers in the plane – WS9
Students were asked to find the coordinates of a point where an archery target could be placed such that it is equidistant from three archers.
Number and algebra: Archers in the plane – WS9 | Samples | Mathematics proficiencies | Resources