# Year 7 Curriculum

Investigate index notation and represent whole numbers as products of powers of prime numbers.

(ACMNA150)

Investigate and use square roots of perfect square numbers.

(ACMNA151)

Apply the associative, commutative and distributive laws to aid mental and written computation.

(ACMNA152)

Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line.

(ACMNA153)

Solve problems involving addition and subtraction of fractions, including those with unrelated denominators.

(ACMNA154)

Multiply and divide fractions and decimals using efficient written strategies and digital technologies.

(ACMNA155)

Express one quantity as a fraction of another, with and without the use of digital technologies.

(ACMNA156)

Round decimals to a specified number of decimal places.

(ACMNA157)

Connect fractions, decimals and percentages and carry out simple conversions.

(ACMNA158)

Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies.

(ACMNA173)

Recognise and solve problems involving simple ratios.

(ACMNA174)

Investigate and calculate ‘best buys’, with and without digital technologies.

(ACMNA175)

Introduce the concept of variables as a way of representing numbers using letters.

(ACMNA176)

Create algebraic expressions and evaluate them by substituting a given value for each variable.

(ACMNA177)

Extend and apply the laws and properties of arithmetic to algebraic terms and expressions.

(ACMNA178)

Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point.

(ACMNA179)

Solve simple linear equations.

(ACMNA180)

Investigate, interpret and analyses graphs from authentic data.

Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving.

(ACMMG160)

Calculate volumes of rectangular prisms.

(ACMMG161)

Draw different views of prisms and solids formed from combinations of prisms.

(ACMMG181)

Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries.

(ACMMG163)

Identify corresponding, alternate and co interior angles when two straight lines are crossed by a transversal.

(ACMMG164)

Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning.

(ACMMG166)

Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral.

(ACMMG165)

Classify triangles according to their side and angle properties and describe quadrilaterals.

Construct sample spaces for single step experiments with equally likely outcomes.

(ACMSP168)

Assign probabilities to the outcomes of events and determine probabilities for events.

(ACMSP169)

Identify and investigate issues involving numerical data collected from primary and secondary sources.

(ACMSP170)

Construct and compare a range of data displays including stemandleaf plots and dot plots.

(ACMSP171)

Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data.

(ACMSP172)

Describe and interpret data displays using median, mean and range.

**End of year 7 achievement standard**

Number and Algebra

Students solve problems involving the order, 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 all four operations with fractions, decimals, percentages and their equivalences, and express fractions in their simplest form. Students compare the cost of items to make financial decisions, with and without the use of digital technology. They make simple estimates to judge the reasonableness of results. Students use variables to represent arbitrary numbers and connect the laws and properties of number to algebra and substitute numbers into algebraic expressions. They assign ordered pairs to given points on the Cartesian plane and interpret and analyse graphs of relations from real data. Students develop simple linear models for situations, make predictions based on these models, solve related equations and check their solutions.

Measurement and Geometry

Students use formulas for the area and perimeter of rectangles. They classify triangles and quadrilaterals and represent transformations of these shapes on the Cartesian plane, with and without the use of digital technology. Students name the types of angles formed by a transversal crossing parallel lines and solve simple numerical problems involving these lines and angles. They describe different views of three-dimensional objects, and use models, sketches and digital technology to represent these views. Students calculate volumes of rectangular prisms.

Statistics and Probability

Students identify issues involving the collection of discrete and continuous data from primary and secondary sources. They construct stemandleaf plots and dotplots. Students identify or calculate mean, mode, median and range for data sets, using digital technology for larger data sets. They describe the relationship between the median and mean in data displays. Students determine the sample space for simple experiments with equally likely outcomes, and assign probabilities outcomes.

**Extracted from http://www.education.vic.gov.au/school/teachers/support/Pages/ausvels.aspx referencing the Victorian Essential Learning Standards within the Australian Curriculum.*