Skip to main content Skip to navigation

Mathematics

Filter
Filter
  1. 7

Level 7

Level 7 Description

In Level 7, students work with powers of whole numbers, use index notation, represent numbers as products of powers of prime numbers, and investigate square roots of perfect squares. They use number properties to assist with calculation and order, and to add and subtract integers. Students find equivalent fractions, represent positive and negative fractions and mixed numbers on a number line...

Show more

Level 7 Content Descriptions

Statistics and Probability

Chance Elaborations
  1. Construct sample spaces for single-step experiments with equally likely outcomes (VCMSP266)
    1. discussing the meaning of probability terminology. For example, probability, sample space, favourable outcomes, trial, events and experiments
    2. distinguishing between equally likely outcomes and outcomes that are not equally likely
  2. Assign probabilities to the outcomes of events and determine probabilities for events (VCMSP267)
    1. expressing probabilities as decimals, fractions and percentages
Data representation and interpretation Elaborations
  1. Identify and investigate issues involving numerical data collected from primary and secondary sources (VCMSP268)
    1. obtaining secondary data from newspapers, the Internet and the Australian Bureau of Statistics
    2. investigating secondary data relating to the distribution and use of non-renewable resources around the world
  2. Construct and compare a range of data displays including stem-and-leaf plots and dot plots (VCMSP269)
    1. understanding that some data representations are more appropriate than others for particular data sets, and answering questions about those data sets
    2. using ordered stem-and-leaf plots to record and display numerical data collected in a class investigation, such as constructing a class plot of height in centimetres on a shared stem-and-leaf plot for which the stems 12, 13, 14, 15, 16 and 17 have been produced
  3. Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data (VCMSP270)
    1. understanding that summarising data by calculating measures of centre and spread can help make sense of the data
  4. Describe and interpret data displays using median, mean and range (VCMSP271)
    1. using mean and median to compare data sets and explaining how outliers may affect the comparison
    2. locating mean, median and range on graphs and connecting them to real life

Level 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 transversals 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 stem-and-leaf plots and dot-plots. 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.

Scroll to the top of the page