## Years 7 and 8 (Stage 4)

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**Year 7**

Mathematics explores mathematical concepts in six strands: Geometry, Measurement, Number, Algebra, Data Handling and Statistics. During year 7 students:-

- Solve problems involving the comparison, addition and subtraction of integers.
- Solve problems involving percentages and all four operations with fractions and decimals. They compare the cost of items to make financial decisions.
- Represent numbers using variables. They connect the laws and properties for numbers to algebra.
- Classify triangles and quadrilaterals. They name the types of angles formed by a transversal crossing parallel line.
- Use formulas for the area and perimeter of rectangles and calculate volumes of rectangular prisms.
- Identify issues involving the collection of data. They describe the relationship between the median and mean in data.

**Year 7 Scope and Sequence**

**Year 8 **

Mathematics continues the exploration of mathematical concepts in six strands: Geometry, Measurement, Number, Algebra, Data Handling and Statistics. During Year 8, the proficiency strands *Understanding, Fluency, Problem Solving and Reasoning* become an integral part of mathematics content across the strands: In Year 8 level:

*Understanding includes*

- describing patterns involving indices and recurring decimals
- identifying commonalities between operations with algebra and arithmetic
- connecting rules for linear relations their graphs
- explaining the purpose of statistical measures
- explaining measurements of perimeter and area

*Fluency*** includes **

- calculating accurately with simple decimals, indices and integers
- recognising equivalence of common decimals and fractions including recurring decimals
- factorising and simplifying basic algebraic expressions
- evaluating perimeters, areas of common shapes and their volumes and three dimensional objects

*Problem Solving*** includes **

- formulating, and modelling practical situations involving ratios, profit and loss
- areas and perimeters of common shapes
- using two-way tables and Venn diagrams to calculate probabilities

*Reasoning*** includes **

- Justifying the result of a calculation or estimation as reasonable
- deriving probability from its complement
- using congruence to deduce properties of triangles
- finding estimates of means and proportions of populations

**Year 8 Scope and Sequences**