Year 7 Content Descriptors
Algebra
Fluency
- recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown AC9M7A01
- manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables AC9M7A06
- solve one-variable linear equations with natural number solutions; verify the solution by substitution AC9M7A03 Understanding
- recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown AC9M7A01
- formulate algebraic expressions using constants, variables, operations and brackets AC9M7A02
- describe relationships between variables represented in graphs of functions from authentic data AC9M7A04
- generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane AC9M7A05
Measurement
Fluency
- 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 AC9M7M04
- solve problems involving the area of triangles and parallelograms using established formulas and appropriate units AC9M7M01
- solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units AC9M7M02
Fluency and Reasoning
- 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 AC9M7M05
Problem-solving
- 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 AC9M7M06
Understanding
- describe the relationship between π and the features of circles including the circumference, radius and diameter AC9M7M03
Number
Understanding
- represent natural numbers as products of powers of prime numbers using exponent notation AC9M7N02
- represent natural numbers in expanded notation using place value and powers of 10 AC9M7N03
Fluency
- 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 AC9M7N01
- compare, order and solve problems involving addition and subtraction of integers AC9M7N07
- round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions AC9M7N05
- use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies AC9M7N06
- find equivalent representations of rational numbers and represent rational numbers on a number line AC9M7N04
- recognise, represent and solve problems involving ratios AC9M7N08
Fluency and Reasoning
- 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 AC9M7N09
Probability
Problem-solving
- 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 AC9M7P02
Reasoning
- identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events AC9M7P01
Understanding and Fluency
- identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events AC9M7P01
Statistics
Fluency
- 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 AC9M7ST01
- 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 AC9M7ST02
Problem-solving
- 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 AC9M7ST03
Reasoning
- 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 AC9M7ST01
- 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 AC9M7ST02
Understanding
- 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 AC9M7ST01
- 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 AC9M7ST02
Space
Understanding and Fluency
- 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 AC9M7SP03
Understanding
- classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships AC9M7SP02
- represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations AC9M7SP01
Problem-solving
- 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 AC9M7SP04
Estimated Time Allocation for 130x 45 Minute Lessons.
| Strand | Code | Content Descriptor | Lessons |
|---|---|---|---|
| Number | AC9M7N01 | Perfect squares and square roots | 3 |
| Number | AC9M7N02 | Products of powers of prime numbers (exponent notation) | 4 |
| Number | AC9M7N03 | Expanded notation, place value, powers of 10 | 3 |
| Number | AC9M7N04 | Equivalent representations of rational numbers; number line | 4 |
| Number | AC9M7N05 | Rounding and estimation | 3 |
| Number | AC9M7N06 | Four operations with fractions, decimals, percentages | 8 |
| Number | AC9M7N07 | Addition and subtraction of integers | 4 |
| Number | AC9M7N08 | Ratios | 4 |
| Number | AC9M7N09 | Modelling with rational numbers/percentages (financial contexts) | 5 |
| Algebra | AC9M7A01 | Variables in formulas; substitution | 4 |
| Algebra | AC9M7A02 | Formulate algebraic expressions | 4 |
| Algebra | AC9M7A03 | Solve one-variable linear equations | 6 |
| Algebra | AC9M7A04 | Relationships in graphs from authentic data | 4 |
| Algebra | AC9M7A05 | Tables of values, patterns, Cartesian plane | 4 |
| Algebra | AC9M7A06 | Manipulate formulas with several variables (digital tools) | 4 |
| Measurement | AC9M7M01 | Area of triangles and parallelograms | 4 |
| Measurement | AC9M7M02 | Volume of right prisms | 4 |
| Measurement | AC9M7M03 | π and features of circles | 3 |
| Measurement | AC9M7M04 | Angle relationships, parallel lines and transversals | 5 |
| Measurement | AC9M7M05 | Interior angle sum of triangles and other shapes | 4 |
| Measurement | AC9M7M06 | Modelling problems involving ratios | 4 |
| Space | AC9M7SP01 | Representing objects in 2D | 4 |
| Space | AC9M7SP02 | Classify triangles, quadrilaterals, polygons | 5 |
| Space | AC9M7SP03 | Transformations (translation, reflection, rotation) | 5 |
| Space | AC9M7SP04 | Algorithms for sorting/classifying shapes | 4 |
| Statistics | AC9M7ST01 | Range, median, mean, mode | 4 |
| Statistics | AC9M7ST02 | Numerical data displays (incl. stem-and-leaf) | 4 |
| Statistics | AC9M7ST03 | Statistical investigations | 6 |
| Probability | AC9M7P01 | Sample space, probabilities, relative frequency | 5 |
| Probability | AC9M7P02 | Chance experiments and simulations | 5 |