Year 7 Mathematics in the Australian Curriculum

AC9M7N01

describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems

AC9M7N02

represent natural numbers as products of powers of prime numbers using exponent notation

AC9M7N03

represent natural numbers in expanded notation using place value and powers of 10

AC9M7N04

find equivalent representations of rational numbers and represent rational numbers on a number line

AC9M7N05

round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions

AC9M7N06

use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies

AC9M7N07

compare, order and solve problems involving addition and subtraction of integers

AC9M7N08

recognise, represent and solve problems involving ratios

AC9M7N09

use mathematical modelling to solve practical problems, involving rational numbers and percentages, including financial contexts; formulate problems, choosing representations and efficient calculation strategies, using digital tools as appropriate; interpret and communicate solutions in terms of the situation, justifying choices made about the representation

AC9M7A01

recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown

AC9M7A02

formulate algebraic expressions using constants, variables, operations and brackets

AC9M7A03

solve one-variable linear equations with natural number solutions; verify the solution by substitution

AC9M7A04

describe relationships between variables represented in graphs of functions from authentic data

AC9M7A05

generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane

AC9M7A06

manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables

AC9M7M01

solve problems involving the area of triangles and parallelograms using established formulas and appropriate units

AC9M7M02

solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units

AC9M7M03

describe the relationship between \(π\) and the features of circles including the circumference, radius and diameter

AC9M7M04

identify corresponding, alternate and co-interior relationships between angles formed when parallel lines are crossed by a transversal; use them to solve problems and explain reasons

AC9M7M05

demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the interior angle sum of other shapes and the size of unknown angles

AC9M7M06

use mathematical modelling to solve practical problems involving ratios; formulate problems, interpret and communicate solutions in terms of the situation, justifying choices made about the representation

AC9M7SP01

represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations

AC9M7SP02

classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships

AC9M7SP03

describe transformations of a set of points using coordinates in the Cartesian plane, translations and reflections on an axis, and rotations about a given point

AC9M7SP04

design and create algorithms involving a sequence of steps and decisions that will sort and classify sets of shapes according to their attributes, and describe how the algorithms work

AC9M7ST01

acquire data sets for discrete and continuous numerical variables and calculate the range, median, mean and mode; make and justify decisions about which measures of central tendency provide useful insights into the nature of the distribution of data

AC9M7ST02

create different types of numerical data displays including stem-and-leaf plots using software where appropriate; describe and compare the distribution of data, commenting on the shape, centre and spread including outliers and determining the range, median, mean and mode

AC9M7ST03

plan and conduct statistical investigations involving data for discrete and continuous numerical variables; analyse and interpret distributions of data and report findings in terms of shape and summary statistics

AC9M7P01

identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events

AC9M7P02

conduct repeated chance experiments and run simulations with a large number of trials using digital tools; compare predictions about outcomes with observed results, explaining the differences