The proficiency strands understanding, fluency, problem-solving and reasoning are an integral part of mathematics content across the three content strands: number and algebra, measurement and geometry, and statistics and probability. The proficiencies reinforce the significance of working mathematically within the content and describe how the content is explored or developed. They provide the language to build in the developmental aspects of the learning of mathematics. The achievement standards reflect the content and encompass the proficiencies.
At this year level:
(source: www.australiancurriculum.edu.au)
By the end of Year 7, students solve problems involving the comparison, addition and subtraction of integers. They make the connections between whole numbers and index notation and the relationship between perfect squares and square roots. They solve problems involving percentages and all four operations with fractions and decimals. They compare the cost of items to make financial decisions. Students represent numbers using variables. They connect the laws and properties for numbers to algebra. They interpret simple linear representations and model authentic information. Students describe different views of three-dimensional objects. They represent transformations in the Cartesian plane. They solve simple numerical problems involving angles formed by a transversal crossing two lines. Students identify issues involving the collection of continuous data. They describe the relationship between the median and mean in data displays.
Students use fractions, decimals and percentages, and their equivalences. They express one quantity as a fraction or percentage of another. Students solve simple linear equations and evaluate algebraic expressions after numerical substitution. They assign ordered pairs to given points on the Cartesian plane. Students use formulas for the area and perimeter of rectangles and calculate volumes of rectangular prisms. Students classify triangles and quadrilaterals. They name the types of angles formed by a transversal crossing parallel line. Students determine the sample space for simple experiments with equally likely outcomes and assign probabilities to those outcomes. They calculate mean, mode, median and range for data sets. They construct stem-and-leaf plots and dot-plots.
(source: www.australiancurriculum.edu.au)
Teach your students how to find equivalent fractions by using a number line, shaded models or a fraction chart with this teaching presentation.
Use a fraction wall to practise finding equivalent fractions and comparing fractions with this set of differentiated worksheets.
A set of nine posters with clear examples of multiplication strategies.
A 2D shapes poster with 16 common shapes, as well as information characterising each shape.
Practise placing equivalent fractions on a number line with this cut-and-paste worksheet.
Three worksheets to use when teaching your students how to add and subtract fractions.
A worksheet using fractions with common denominators.
A worksheet with factor trees that are used to find the prime factors of numbers.
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A worksheet to deepen students' understanding of decimals.
A two-page worksheet to use when addressing the concepts of 2D shapes and symmetry.
A shopping catalogue and worksheet to use when working on financial mathematics.
A set of maths mazes that allow students to demonstrate their knowledge of factors.
A poster explaining the difference between capacity and volume.
A 17 slide editable PowerPoint Template to use when teaching your students how to add and subtract fractions.
Posters outlining the processes involved when adding, subtracting, multiplying and dividing fractions.
Four pages of worksheets using positive and negative numbers.
A poster displaying 2D Symmetry concepts including Reflection and Rotational Symmetry.
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A mathematics investigation about number and the scale of the solar system, embedded in a real-world context.
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A 12 slide editable PowerPoint template to use when introducing more complex angles to older students.
A mathematics investigation about decimals and percentages, embedded in a real-world context.
A visual poster examining the difference between reflection, translation and rotation.