Year 7 Lesson Sequence

Sequenced from Year 7 Content Descriptors using the included time allocation. Each content descriptor block runs across consecutive lessons, moving from explicit instruction through guided/independent practice to problem-solving and consolidation.

LessonStrandCodeLesson Focus
1NumberAC9M7N03Explicit instruction: place value and expanded notation for large numbers
2NumberAC9M7N03Powers of 10 and expanded notation practice
3NumberAC9M7N03Problem-solving with place value and powers of 10; consolidation
4NumberAC9M7N02Explore factors and prime numbers; sieve of Eratosthenes
5NumberAC9M7N02Prime factorisation using factor trees
6NumberAC9M7N02Exponent notation for products of prime factors
7NumberAC9M7N02Problem-solving and consolidation: prime factorisation & exponents
8NumberAC9M7N01Explicit instruction: perfect squares and square roots
9NumberAC9M7N01Estimating and calculating square roots; guided practice
10NumberAC9M7N01Problem-solving with squares and square roots; consolidation
11NumberAC9M7N07Explore integers on a number line; comparing and ordering
12NumberAC9M7N07Adding integers: explicit instruction and guided practice
13NumberAC9M7N07Subtracting integers: explicit instruction and guided practice
14NumberAC9M7N07Problem-solving with integer addition/subtraction; consolidation
15MeasurementAC9M7M01Explicit instruction: area of triangles using established formula
16MeasurementAC9M7M01Area of parallelograms; guided practice
17MeasurementAC9M7M01Composite shapes: combining triangle and parallelogram areas
18MeasurementAC9M7M01Problem-solving with area; consolidation and check
19MeasurementAC9M7M02Explicit instruction: volume of rectangular prisms
20MeasurementAC9M7M02Volume of triangular prisms; guided practice
21MeasurementAC9M7M02Composite/right prism volume problems
22MeasurementAC9M7M02Problem-solving with volume; consolidation and check
23AlgebraAC9M7A01Introduce variables representing everyday formulas
24AlgebraAC9M7A01Substituting values into formulas; guided practice
25AlgebraAC9M7A01Applying formulas to real-world contexts
26AlgebraAC9M7A01Problem-solving and consolidation: formulas and substitution
27AlgebraAC9M7A02Explicit instruction: forming expressions from word descriptions
28AlgebraAC9M7A02Expressions with brackets and multiple operations
29AlgebraAC9M7A02Translating real contexts into algebraic expressions
30AlgebraAC9M7A02Problem-solving and consolidation: algebraic expressions
31AlgebraAC9M7A03Explicit instruction: solving one-step equations
32AlgebraAC9M7A03Solving two-step equations; guided practice
33AlgebraAC9M7A03Equations with brackets and like terms
34AlgebraAC9M7A03Verifying solutions by substitution
35AlgebraAC9M7A03Problem-solving: forming and solving equations from context
36AlgebraAC9M7A03Consolidation and check: linear equations
37SpaceAC9M7SP01Explore representations of 3D objects in 2D (nets, views)
38SpaceAC9M7SP01Drawing and interpreting different 2D representations
39SpaceAC9M7SP01Reasoning about advantages/disadvantages of representations
40SpaceAC9M7SP01Problem-solving and consolidation: 2D representations
41SpaceAC9M7SP02Explicit instruction: classifying triangles by side/angle properties
42SpaceAC9M7SP02Classifying quadrilaterals by properties
43SpaceAC9M7SP02Classifying other polygons; guided practice
44SpaceAC9M7SP02Reasoning about relationships between shape properties
45SpaceAC9M7SP02Problem-solving and consolidation: classifying shapes
46MeasurementAC9M7M05Investigate interior angle sum of a triangle (inquiry task)
47MeasurementAC9M7M05Applying triangle angle sum to find unknown angles
48MeasurementAC9M7M05Extending to interior angle sum of other polygons
49MeasurementAC9M7M05Problem-solving and consolidation: angle sums
50MeasurementAC9M7M04Explicit instruction: corresponding and alternate angles
51MeasurementAC9M7M04Co-interior angles; guided practice
52MeasurementAC9M7M04Identifying angle relationships in diagrams
53MeasurementAC9M7M04Solving problems and justifying reasoning with angle rules
54MeasurementAC9M7M04Consolidation and check: parallel lines and transversals
55NumberAC9M7N04Explicit instruction: fractions, decimals, percentages as equivalent forms
56NumberAC9M7N04Converting between fractions, decimals and percentages
57NumberAC9M7N04Representing rational numbers on a number line
58NumberAC9M7N04Problem-solving and consolidation: equivalent representations
59NumberAC9M7N05Explicit instruction: rounding decimals to given accuracy
60NumberAC9M7N05Estimation strategies to check reasonableness
61NumberAC9M7N05Problem-solving and consolidation: rounding and estimation
62NumberAC9M7N06Explicit instruction: adding and subtracting fractions
63NumberAC9M7N06Multiplying and dividing fractions; guided practice
64NumberAC9M7N06Operations with decimals: addition, subtraction
65NumberAC9M7N06Operations with decimals: multiplication, division
66NumberAC9M7N06Calculating percentages of quantities
67NumberAC9M7N06Efficient calculation strategies across fractions/decimals/percentages
68NumberAC9M7N06Problem-solving: mixed operations with rational numbers
69NumberAC9M7N06Consolidation and check: four operations with rational numbers
70NumberAC9M7N08Explicit instruction: representing and simplifying ratios
71NumberAC9M7N08Equivalent ratios and scaling; guided practice
72NumberAC9M7N08Solving problems involving ratios
73NumberAC9M7N08Problem-solving and consolidation: ratios
74MeasurementAC9M7M06Mathematical modelling cycle: formulating ratio problems
75MeasurementAC9M7M06Interpreting and solving ratio-based practical problems
76MeasurementAC9M7M06Communicating and justifying ratio solutions
77MeasurementAC9M7M06Consolidation and check: modelling with ratios
78NumberAC9M7N09Mathematical modelling: formulating financial problems
79NumberAC9M7N09Solving problems involving percentages in financial contexts
80NumberAC9M7N09Using digital tools for efficient calculation strategies
81NumberAC9M7N09Interpreting and communicating modelling solutions
82NumberAC9M7N09Consolidation and check: modelling with rational numbers/percentages
83AlgebraAC9M7A04Explore graphs of functions from authentic data
84AlgebraAC9M7A04Describing relationships shown in graphs
85AlgebraAC9M7A04Interpreting graphs in real-world contexts
86AlgebraAC9M7A04Problem-solving and consolidation: graph relationships
87AlgebraAC9M7A05Generating tables of values from growing patterns
88AlgebraAC9M7A05Generating tables of values from function rules
89AlgebraAC9M7A05Plotting relationships on the Cartesian plane
90AlgebraAC9M7A05Problem-solving and consolidation: patterns and Cartesian plane
91AlgebraAC9M7A06Manipulating formulas with several variables
92AlgebraAC9M7A06Using digital tools (spreadsheets) to explore formulas
93AlgebraAC9M7A06Describing effects of systematic variation in variables
94AlgebraAC9M7A06Problem-solving and consolidation: formulas and digital tools
95MeasurementAC9M7M03Explore relationship between circumference, diameter and π (inquiry)
96MeasurementAC9M7M03Relating radius, diameter and circumference; guided practice
97MeasurementAC9M7M03Problem-solving and consolidation: circle features and π
98SpaceAC9M7SP03Explicit instruction: translations on the Cartesian plane
99SpaceAC9M7SP03Reflections on an axis; guided practice
100SpaceAC9M7SP03Rotations about a given point
101SpaceAC9M7SP03Describing transformations using coordinates
102SpaceAC9M7SP03Problem-solving and consolidation: transformations
103SpaceAC9M7SP04Introduce algorithms: sequences of steps and decisions
104SpaceAC9M7SP04Designing algorithms to sort shapes by attributes
105SpaceAC9M7SP04Testing and describing how classification algorithms work
106SpaceAC9M7SP04Problem-solving and consolidation: algorithms for shapes
107StatisticsAC9M7ST01Acquiring data sets for discrete and continuous variables
108StatisticsAC9M7ST01Calculating range, median, mean and mode
109StatisticsAC9M7ST01Justifying which measure best suits a data set
110StatisticsAC9M7ST01Problem-solving and consolidation: measures of central tendency
111StatisticsAC9M7ST02Creating numerical data displays including stem-and-leaf plots
112StatisticsAC9M7ST02Using software to create and compare data displays
113StatisticsAC9M7ST02Describing shape, centre, spread and outliers
114StatisticsAC9M7ST02Problem-solving and consolidation: data displays
115StatisticsAC9M7ST03Planning a statistical investigation
116StatisticsAC9M7ST03Collecting data for discrete and continuous variables
117StatisticsAC9M7ST03Analysing and interpreting data distributions
118StatisticsAC9M7ST03Reporting findings: shape and summary statistics
119StatisticsAC9M7ST03Peer review and refining statistical reports
120StatisticsAC9M7ST03Consolidation and check: statistical investigations
121ProbabilityAC9M7P01Explicit instruction: identifying sample spaces
122ProbabilityAC9M7P01Assigning probabilities to outcomes
123ProbabilityAC9M7P01Predicting relative frequencies for related events
124ProbabilityAC9M7P01Problem-solving with single-stage events
125ProbabilityAC9M7P01Consolidation and check: sample space and probability
126ProbabilityAC9M7P02Conducting repeated chance experiments
127ProbabilityAC9M7P02Running simulations with digital tools
128ProbabilityAC9M7P02Comparing predictions with observed results
129ProbabilityAC9M7P02Explaining differences between predicted and observed outcomes
130ProbabilityAC9M7P02Consolidation and check: chance experiments and simulations; course review