Year 7 & 8 Maths (stage 4) | NSW Syllabus
Course Content
Year 7
Review of year 6
Make sure you have a strong understanding of primary maths before moving to highschool level work.
2. Integers
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2A Number line review
00:00 -
2B Negative Numbers
00:00 -
2C Extending the number line
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2D Using directed numbers
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2E The number plane
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2F Interpreting distance-time graphs
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2G Drawing distance-time graphs
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2H Adding and subtracting directed numbers
3. Angles and parallel lines
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3A Naming Angles
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3B Types of angles
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3C Adjacent angles
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3D Complementary and supplementary angles
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3E Angles at a point and vertically opposite
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3F Perpendicular lines
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3G Angle pairs on parallel lines
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3H Combinations of angles
00:00 -
3I Non-numerical problems
4. Number and indices
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4A Index notation and powers
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4B Divisibility tests
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4C Long division
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4D Multiples, factors, primes and composites
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4E Factor trees
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4F HCF and LCM by prime factors
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4G Square and cube roots
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4H Order of operations
5. Fractions
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5A Types of fractions
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5B Equivalent fractions
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5C Simplifying fractions
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5D First quantity as a fraction of the second
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5E Addition and subtraction
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5F Multiplication of fractions
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5G Fraction division
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5H Calculator skills
6. Drawing and building solids
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6A Identifying solids
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6B Sketching solids
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6C Solids and cross sections
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6D Building solids from cubes
7. Algebra
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7A The concept of variables
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7B Substitution into algebraic expressions
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7C Expressions involving multiplication
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7D Expressions involving division
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7E Expressions involving grouping symbols
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7F Adding and subtracting algebraic terms
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7G Multiplying algebraic terms
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7H Dividing algebraic terms
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7I Words into algebraic expressions
8 Fractions, decimals and percentages
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8A Fractions expressed in ratio form
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8C Comparing and ordering decimals
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8B Decimals
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8D Rounding decimals
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8D Rounding decimals
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8E Adding and subtracting decimals
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8F Multiplying decimals
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8G Dividing decimals
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8H Changing percentages to fractions
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8I Changing percentages to decimals
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8J Changing to percentages
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8K Finding a percentage of a quantity
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8L Comparing prices- the best buy
9 Transformations and symmetry
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9A Translation
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9B Rotation
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9C Reflection
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9D Transformation and patterns
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9E Transformation and the number plane
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9F Line symmetry
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9G Rotational symmetry
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9G Rotational symmetry
10 Probability
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10A The sample space
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10B Probability
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10C Theoretical probability
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10D Informal concept of chance
11 Data investigation
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11A Primary and secondary data
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11B Data collection
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11C Key questions
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11D Variables
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11E Frequency distribution tables
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11F Grouped data
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11G Presenting data
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11H Histogram and polygons
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11I Dot plots
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11J Stem-and-leaf plot
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11K Interpreting graphs
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11L Selecting methods of displaying data
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11M Scattergraphs
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11N Misleading graphs
12 Area, surface are and volume
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12A Area
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12B Area of a rectangle
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12C Area of triangle
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12D Area of a parallelogram
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12E Identifying faces to calculate surface area
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12F Surface area using nets
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12G Calculating surface area
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12H Volume
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12I Calculating volume
13 Data Measures
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13A Mean
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13B Mode and range
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13C Median
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13D Stem-and-leaf plots
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13E Mean, mode and median
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13F Comparing data
14 Linear equations
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14A Guess, check and improve
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14B Using concrete materials
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14C Solving equations by backtracking
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14D The balance method
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14E Algebraic solution of equations
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14F Generating equations with a given solution
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14G Solving problems using equations
15 Triangles and quadrilaterals
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15A Notation
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15B Constructing triangles
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15C Classifying triangles
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15D Angle sum of a triangle
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15E Properties of equilateral and isosceles triangles
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15F Exterior angle of a triangle
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15G Properties of special quadrilaterals
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15H Angle sum of a quadrilaterals
Year 8
2 Ratios and rates
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2A Ratio and rates
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2B Equivalent ratios review
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2C Problem solving: the unitary method
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2D Dividing a quantity in a given ratio
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2E Rates
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2F Ratio rates
3 Congruence
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3A Congruent figures
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3B Congruency tests
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3C Applying congruency tests
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3D Properties of triangles and quadrilaterals
4 Number operations and index laws
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4A Index notation
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4B Multiplying numbers with the same base
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4C Raising a number to a power
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4D Dividing numbers with the same base.
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4E The zero index
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4F Summary of index laws
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4G Multiplying and dividing directed numbers
5 Perimeter, area and capacity
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5A Area and perimeter review
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5B Area of special quadrilaterals
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5C Converting area units
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5D Volume and capacity
6 Time
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6A Analogue clocks review
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6B Digital displays review
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6C 24-hour time review
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6D Solving time problems
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6E Using a calculator
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6F Calendars
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6G Using timetables and charts
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6H Time zones
7 Percentages
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7A Percentages review
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7B Percentages of quantities
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7C Percentage change
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7D Calculating percentage change
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7E The unitary method
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7F Profit and loss
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7G Goods and services tax (GST)
8 Circles and cylinders
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8A Parts of a circle
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8B Circumference of a circle
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8C Finding the diameter and radius from the circumference
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8D Area of a circle
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8E Volume of a cylinder
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