Australian Curriculum Categories

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:

**understanding**includes describing patterns in uses of indices with whole numbers, recognising equivalences between fractions, decimals, percentages and ratios, plotting points on the Cartesian plane, identifying angles formed by a transversal crossing a pair of lines, and connecting the laws and properties of numbers to algebraic terms and expressions**fluency**includes calculating accurately with integers, representing fractions and decimals in various ways, investigating best buys, finding measures of central tendency and calculating areas of shapes and volumes of prisms**problem-solving**includes formulating and solving authentic problems using numbers and measurements, working with transformations and identifying symmetry, calculating angles and interpreting sets of data collected through chance experiments**reasoning**includes applying the number laws to calculations, applying known geometric facts to draw conclusions about shapes, applying an understanding of ratio and interpreting data displays.

(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)

32 of 105 teaching
resources for those 'aha' moments

#### teaching resource

### Maths Mazes (Factors)

A set of maths mazes that allow students to demonstrate their knowledge of factors.

#### teaching resource

### Multiplication Strategies Posters

A set of nine posters with clear examples of multiplication strategies.

#### teaching resource

### Factor Trees – Worksheet

A worksheet with factor trees that are used to find the prime factors of numbers.

#### teaching resource

### Number Talks - Geometry Task Cards

Build geometric reasoning with this set of 24 task cards.

#### teaching resource

### Number Talks - Ratio and Rate Task Cards

Build number sense skills with this set of 32 task cards.

#### teaching resource

### Number Talks - Integer Operations Task Cards

Build number sense skills with this set of 24 task cards.

#### teaching resource

### Number Talks - Adding and Subtracting Fractions Task Cards

Build fractional reasoning with this set of 24 task cards.

#### teaching resource

### Number Talks - Dividing with Unit Fractions Task Cards

Build fractional reasoning with this set of 24 task cards.

#### teaching resource

### Number and Algebra Mathematics Investigation - The Solar System in Our Space

A mathematics investigation about number and the scale of the solar system, embedded in a real-world context.

#### teaching resource

### Adding, Subtracting, Multiplying and Dividing Fractions Posters

Posters outlining the processes involved when adding, subtracting, multiplying and dividing fractions.

#### teaching resource

### Volume of 3D Objects Poster

A poster highlighting the formula for finding the volume of common 3D objects.

#### teaching resource

### Working with Angles PowerPoint

A 12 slide editable PowerPoint template to use when introducing more complex angles to older students.

#### teaching resource

### Vertically Opposite Angles Poster

A poster outlining how to identify and the properties of vertically opposite angles.

#### teaching resource

### Alternate Angles Poster

A poster outlining how to identify and the properties of alternate angles.

#### teaching resource

### Finding Alternate Angles Worksheet

A worksheet to help consolidate your students' understanding of alternate angles.

#### teaching resource

### Finding Corresponding Angles Worksheet

A worksheet to help consolidate your students' understanding of corresponding angles.

#### teaching resource

### Corresponding Angles Poster

A poster outlining how to identify and the properties of corresponding angles.

#### teaching resource

### Finding Co-Interior Angles Worksheet

A worksheet to help consolidate your students' understanding of co-interior angles.

#### teaching resource

### Co-Interior Angles Poster

A poster outlining how to identify and the properties of co-interior angles.

#### teaching resource

### Finding the Angle Sum of a Quadrilateral Worksheet

A worksheet to consolidate your students' understanding of the angle sum of a quadrilaterals.

#### teaching resource

### Finding the Angle Sum of a Triangle Worksheet

A worksheet to consolidate your students' understanding of the angle sum of a triangle.

#### teaching resource

### Angle Sum of a Quadrilateral Poster

A poster outlining the angle sum of a quadrilateral.

#### teaching resource

### Supplementary Angles Worksheet

A worksheet to use when learning about supplementary angles.

#### teaching resource

### Complementary Angles Worksheet

A worksheet to use when learning about complementary angles.

#### teaching resource

### I Have, Who Has? Game - Complementary and Supplementary Angles

A whole-class game to consolidate students' understanding of complementary and supplementary angles.

#### teaching resource

### Complementary and Supplementary Angles Poster

A poster to display when learning about complementary and supplementary angles.

#### teaching resource

### Fraction Representations Posters - Whole, Halves, Quarters, Thirds and Fifths

Display these posters when working with fractions and their different representations.

#### teaching resource

### Coordinates Drawing - Rocket

Students create this rocket by following the directions.