Year 7 Maths
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Skills are grouped by curriculum strand. Exact Australian Curriculum wording remains available on every card.
Number
We are learning to describe the relationship between perfect square numbers and square roots, and use squares and square roots of perfect square numbers to solve problems
ExampleA square array has 9 rows of 9 tiles. Which statement is correct?
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
Number
We are learning to represent natural numbers as products of powers of prime numbers using exponent notation
ExampleWhat is the prime factorisation of 360?
represent natural numbers as products of powers of prime numbers using exponent notation
Number
We are learning to represent natural numbers in expanded notation using place value and powers of 10
ExampleIn 7,052,304, what value is represented by the digit 7 identified in 10^6 place?
represent natural numbers in expanded notation using place value and powers of 10
Number
We are learning to find equivalent representations of rational numbers and represent rational numbers on a number line
ExampleWhich decimal and percentage are equivalent to 1/2?
find equivalent representations of rational numbers and represent rational numbers on a number line
Number
We are learning to round decimals to a given accuracy appropriate to the context and use rounding and estimation to check the reasonableness of solutions
ExampleRound 47.386 to the nearest whole number
round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions
Number
We are learning to use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation…
ExampleCalculate 3/4 + 0.35
use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies
Number
We are learning to compare, order and solve problems involving addition and subtraction of integers
ExampleWhich statement is true?
compare, order and solve problems involving addition and subtraction of integers
Number
We are learning to recognise, represent and solve problems involving ratios
ExampleWhat does the ratio 1:4 mean?
recognise, represent and solve problems involving ratios
Number
use mathematical modelling to solve practical problems, involving rational numbers and percentages, including financial contexts; formulate problems, choosing…
ExampleA lift starts at floor 0, goes up 5 floors, then down 8 floors. What is the final floor?
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
Algebra
We are learning to recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown
ExampleIn A = l × w, what does l represent?
recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown
Algebra
We are learning to formulate algebraic expressions using constants, variables, operations and brackets
ExampleWhich expression represents a+a+a+a+a+a+a?
formulate algebraic expressions using constants, variables, operations and brackets
Algebra
We are learning to solve one-variable linear equations with natural number solutions and verify the solution by substitution
ExampleIs x=5 a solution to 3x+4=19?
solve one-variable linear equations with natural number solutions; verify the solution by substitution
Algebra
We are learning to describe relationships between variables represented in graphs of functions from authentic data
ExampleAn electricity-use graph rises sharply at 7 pm. What does this show?
describe relationships between variables represented in graphs of functions from authentic data
Algebra
We are learning to generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane
ExampleFor y = 3x + 2, what is y when x = 5?
generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane
Algebra
We are learning to manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables
ExampleFor V = lwh, l = 10 and w = 4 are fixed. What happens to V if h doubles?
manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables
Measurement
We are learning to solve problems involving the area of triangles and parallelograms using established formulas and appropriate units
ExampleWhy is the area of a triangle with base b and perpendicular height h equal to 1/2 bh?
solve problems involving the area of triangles and parallelograms using established formulas and appropriate units
Measurement
We are learning to solve problems involving the volume of right prisms, including rectangular and triangular prisms, using established formulas and appropriate units
ExampleWhich formula gives the volume V of any prism with constant cross-sectional area B and perpendicular prism length h?
solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units
Measurement
We are learning to describe relationships between features of circles, including radius, diameter and circumference, and use these relationships to solve problems
ExampleWhich statement about the radius and diameter is always true?
describe the relationship between π and the features of circles including the circumference, radius and diameter
Measurement
identify corresponding, alternate and co-interior relationships between angles formed when parallel lines are crossed by a transversal; use them to solve problems and…
ExampleAngles in matching corners when a transversal crosses parallel lines are called:
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
Measurement
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…
ExampleThe sum of the interior angles of any triangle is:
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
Measurement
use mathematical modelling to solve practical problems involving ratios; formulate problems, interpret and communicate solutions in terms of the situation, justifying…
ExampleRatio 4:9 represents how many total parts?
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
Space
We are learning to represent three-dimensional objects in two dimensions and judge which representation is fit for a stated purpose
ExampleA net is best described as:
represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations
Space
We are learning to classify triangles, quadrilaterals and other polygons from defining side and angle properties
ExampleWhy is a triangle made from fixed-length hinged strips rigid?
classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships
Space
We are learning to describe translations, reflections and rotations of point sets using coordinate rules in the Cartesian plane
ExampleA Year 7 student is solving a problem involving translate a triangle. Which option is mathematically valid?
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
Space
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…
ExampleA Year 7 student is solving a problem involving write a translation algorithm. Which option is mathematically valid?
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
Statistics
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…
ExampleWhat is the mean of a numerical data set?
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
Statistics
create different types of numerical data displays including stem-and-leaf plots using software where appropriate; describe and compare the distribution of data…
ExampleA Year 7 student is solving a problem involving construct a stem plot. Which option is mathematically valid?
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
Statistics
plan and conduct statistical investigations involving data for discrete and continuous numerical variables; analyse and interpret distributions of data and report…
ExampleWhat is the first step in a statistical investigation?
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
Probability
We are learning to identify sample spaces for single-stage chance events, assign probabilities and predict relative frequencies
ExampleWhat is a sample space?
identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events
Probability
conduct repeated chance experiments and run simulations with a large number of trials using digital tools; compare predictions about outcomes with observed results…
ExampleA coin simulator runs 50 trials and gives 22 heads. Relative frequency of heads is:
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