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Number patterns and algebraic thinking description

Figuring out how a pattern works brings predictability and allows the making of generalisations. This sub-element describes how a student becomes increasingly able to identify a pattern as something that is a discernible regularity in a group of numbers …

Number patterns and algebraic thinking | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources

Number sense and algebra

Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources

Unit 1 Essential Mathematics

This unit provides students with the mathematical skills and understanding to solve problems relating to calculations, applications of measurement, the use of formulas to find an unknown quantity, and the interpretation of graphs. Teachers are encouraged …

Unit 1 | Essential Mathematics | Mathematics | Senior secondary curriculum

Unit 1 General Mathematics

This unit has three topics: ‘Consumer arithmetic’, ‘Algebra and matrices’, and ‘Shape and measurement’. ‘Consumer arithmetic’ reviews the concepts of rate and percentage change in the context of earning and managing money, and provides a fertile ground …

Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum

Unit 1 Mathematical Methods

This unit begins with a review of the basic algebraic concepts and techniques required for a successful introduction to the study of calculus. The basic trigonometric functions are then introduced. Simple relationships between variable quantities are …

Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum

Unit 2 Mathematical Methods

The algebra section of this unit focuses on exponentials and logarithms. Their graphs are examined and their applications in a wide range of settings are explored. Arithmetic and geometric sequences are introduced and their applications are studied. Rates …

Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum

Unit 1 Specialist Mathematics

Unit 1 of Specialist Mathematics contains three topics – ‘Combinatorics’, ‘Vectors in the plane’ and ‘Geometry’ – that complement the content of Mathematical Methods. The proficiency strand, Reasoning, of the F–10 curriculum is continued explicitly in …

Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum

Number and algebra: Who are we? - WS1

The learning intention of the task was to identify given numbers which occur before and after a given number on a hundreds number chart.

Number and algebra: Who are we? - WS1 | 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: 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: 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: 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: 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