Year 7 Mathematics lesson resources
Every Year 7 Mathematics content descriptor in the Australian Curriculum v9. Pick a descriptor to see aligned, classroom-ready resources, or generate a full lesson set from any of them in minutes.
Generate Year 7 Mathematics resources free →Algebra
- AC9M7A01Recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown
- AC9M7A02Formulate algebraic expressions using constants, variables, operations and brackets
- AC9M7A03Solve one-variable linear equations with natural number solutions; verify the solution by substitution
- AC9M7A04Describe relationships between variables represented in graphs of functions from authentic data
- AC9M7A05Generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane
- AC9M7A06Manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables
Measurement
- AC9M7M01Solve problems involving the area of triangles and parallelograms using established formulas and appropriate units
- AC9M7M02Solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units
- AC9M7M03Describe the relationship between \(π\) and the features of circles including the circumference, radius and diameter
- AC9M7M04Identify 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
- AC9M7M05Demonstrate 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
- AC9M7M06Use 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
Number
- AC9M7N01Describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems
- AC9M7N02Represent natural numbers as products of powers of prime numbers using exponent notation
- AC9M7N03Represent natural numbers in expanded notation using place value and powers of 10
- AC9M7N04Find equivalent representations of rational numbers and represent rational numbers on a number line
- AC9M7N05Round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions
- AC9M7N06Use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies
- AC9M7N07Compare, order and solve problems involving addition and subtraction of integers
- AC9M7N08Recognise, represent and solve problems involving ratios
- AC9M7N09Use 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
Probability
- AC9M7P01Identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events
- AC9M7P02Conduct 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
Space
- AC9M7SP01Represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations
- AC9M7SP02Classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships
- AC9M7SP03Describe transformations of a set of points using coordinates in the Cartesian plane, translations and reflections on an axis, and rotations about a given point
- AC9M7SP04Design 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
- AC9M7ST01Acquire 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
- AC9M7ST02Create 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
- AC9M7ST03Plan 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
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