Mr Scott's Shed
topics
Real numbersThe four operations with integers, negative fractions and negative decimals, rational and irrational numbers, recurring decimals and the index laws.53 downloadsPercentagesConverting between fractions, decimals and percentages, finding the whole, percentage increase and decrease, profit and loss, and GST, discounts and commission.35 downloadsRatios and ratesSimplifying and sharing in ratios, maps and scale drawings, rates and unit rates, pay, interest and exchange rates, and finding the best buy.33 downloadsTimeElapsed time, 12-hour and 24-hour time, timetables, Australian and world time zones, daylight saving and the International Date Line.23 downloadsAlgebraSubstituting into formulas, adding, subtracting, multiplying and dividing algebraic terms, simplifying expressions, expanding brackets and factorising.39 downloadsLinear relationshipsSolving equations, tables of values, graphing straight lines on the Cartesian plane, multi-step equations, intersecting lines and inequalities.43 downloadsGeometryAngles in triangles, congruent and similar figures, the congruence and similarity tests for triangles, enlargements, and proving the properties of quadrilaterals.43 downloadsPythagoras' theoremSquares and square roots, a proof of Pythagoras' theorem, finding the hypotenuse and the shorter sides of right-angled triangles, and using the theorem to solve real problems.35 downloadsMeasurementPerimeter and circumference, area of polygons, circles and composite shapes, units of area, volume and capacity, and the volume of right prisms.71 downloadsProbabilityProbabilities for one and two-step experiments, complements, intersection and union, Venn diagrams, two-way tables, mutually exclusive events and simulations.35 downloadsStatisticsMeasures of centre and spread, sampling methods, bias, comparing samples with populations, and planning and running a statistical investigation.31 downloads
scope and sequence

The order we work through Year 8 Maths, and the Australian Curriculum (version 9) outcomes each topic covers. Click a topic to see its lessons and what each outcome means.

1Real numbersFrom earlier yearsAC9M8N01AC9M8N02AC9M8N03AC9M8N04AC9M8N05On the website

Lessons

  1. 1.01 Add and subtract integersFrom earlier years
  2. 1.02 Multiply and divide integersAC9M8N04
  3. 1.03 Four operations with integersAC9M8N04
  4. 1.04 Negative fractionsAC9M8N04AC9M8N05
  5. 1.05 Negative decimalsAC9M8N04AC9M8N05
  6. 1.06 Rational and irrational numbersAC9M8N01
  7. 1.07 Recurring and terminating decimalsAC9M8N03
  8. Investigation: Golden ratioAC9M8N01
  9. 1.08 Index lawsAC9M8N02

Curriculum outcomes

AC9M8N01Number

recognise irrational numbers in applied contexts, including square roots and π

AC9M8N02Number

establish and apply the exponent laws with positive integer exponents and the zero-exponent, using exponent notation with numbers

AC9M8N03Number

recognise terminating and recurring decimals, using digital tools as appropriate

AC9M8N04Number

use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate

AC9M8N05Number

use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts; formulate problems, choosing efficient calculation strategies and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model

From earlier years: these lessons revise skills students learnt in earlier years that this year's curriculum builds on, so they aren't linked to an outcome code for this year.

Open Real numbers

2PercentagesFrom earlier yearsAC9M8N05On the website

Lessons

  1. 2.01 Percentage, decimal and fraction conversionFrom earlier years
  2. 2.02 Find the wholeFrom earlier years
  3. 2.03 Percentage increase and decreaseAC9M8N05
  4. Investigation: PercentagesAC9M8N05
  5. 2.04 Profit and lossAC9M8N05
  6. 2.05 Consumer percentagesAC9M8N05

Curriculum outcomes

AC9M8N05Number

use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts; formulate problems, choosing efficient calculation strategies and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model

From earlier years: these lessons revise skills students learnt in earlier years that this year's curriculum builds on, so they aren't linked to an outcome code for this year.

Open Percentages

3Ratios and ratesAC9M8M05AC9M8M07On the website

Lessons

  1. 3.01 RatiosAC9M8M07
  2. 3.02 Maps and scaleAC9M8M07
  3. 3.03 RatesAC9M8M05AC9M8M07
  4. 3.04 Financial ratesAC9M8M05AC9M8M07
  5. 3.05 Best buysAC9M8M05AC9M8M07

Curriculum outcomes

AC9M8M05Measurement

recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure

AC9M8M07Measurement

use mathematical modelling to solve practical problems involving ratios and rates, including financial contexts; formulate problems; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model

Open Ratios and rates

4TimeFrom earlier yearsAC9M8M04On the website

Lessons

  1. 4.01 Elapsed timeFrom earlier years
  2. 4.02 12 and 24 hour timeAC9M8M04
  3. 4.03 Time zones and the date lineAC9M8M04
  4. Investigation: Plan with time zonesAC9M8M04

Curriculum outcomes

AC9M8M04Measurement

solve problems involving duration, including using 12- and 24-hour time across multiple time zones

From earlier years: these lessons revise skills students learnt in earlier years that this year's curriculum builds on, so they aren't linked to an outcome code for this year.

Open Time

5AlgebraAC9M8A01AC9M8A02On the website

Lessons

  1. 5.01 SubstitutionAC9M8A02
  2. 5.02 Add and subtract algebraic termsAC9M8A01
  3. 5.03 Multiply and divide algebraic termsAC9M8A01
  4. 5.04 Simplify algebraic expressionsAC9M8A01
  5. 5.05 The distributive lawAC9M8A01
  6. 5.06 Numeric factorsAC9M8A01

Curriculum outcomes

AC9M8A01Algebra

create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties

AC9M8A02Algebra

graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution

Open Algebra

6Linear relationshipsFrom earlier yearsBuilds on earlier workAC9M8A02AC9M8A03AC9M8A04On the website

Lessons

  1. 6.01 Solve equationsFrom earlier years
  2. 6.02 Tables of valuesAC9M8A02AC9M8A03
  3. 6.03 Linear graphsAC9M8A02AC9M8A03AC9M8A04
  4. Investigation: Linear solutionsAC9M8A04
  5. 6.04 Multi-step equationsBuilds on earlier work
  6. 6.05 Intersecting linesAC9M8A02
  7. 6.06 InequalitiesAC9M8A02AC9M8A03
  8. Investigation: Experiment with linear inequalitiesAC9M8A04

Curriculum outcomes

AC9M8A02Algebra

graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution

AC9M8A03Algebra

use mathematical modelling to solve applied problems involving linear relations, including financial contexts; formulate problems with linear functions, choosing a representation; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model

AC9M8A04Algebra

experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns

From earlier years: these lessons revise skills students learnt in earlier years that this year's curriculum builds on, so they aren't linked to an outcome code for this year.

Builds on earlier work: these lessons extend skills from earlier lessons and years, so they are not linked to a new outcome code.

Open Linear relationships

7GeometryAC9M8SP01AC9M8SP02AC9M8SP03AC9M8SP04On the website

Lessons

  1. 7.01 Angles and trianglesAC9M8SP01
  2. 7.02 Transformations and congruenceAC9M8SP01AC9M8SP04
  3. 7.03 Congruent trianglesAC9M8SP01AC9M8SP04
  4. 7.04 Transformations and similarityAC9M8SP01AC9M8SP04
  5. 7.05 Similar trianglesAC9M8SP01AC9M8SP04
  6. Investigation: Determine congruence or similarityAC9M8SP04
  7. 7.06 Properties of quadrilateralsAC9M8SP02
  8. Investigation: 3D coordinate systemsAC9M8SP03

Curriculum outcomes

AC9M8SP01Space

identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations

AC9M8SP02Space

establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning

AC9M8SP03Space

describe the position and location of objects in 3 dimensions in different ways, including using a three-dimensional coordinate system with the use of dynamic geometric software and other digital tools

AC9M8SP04Space

design, create and test algorithms involving a sequence of steps and decisions that identify congruency or similarity of shapes, and describe how the algorithm works

Open Geometry

8Pythagoras' theoremFrom earlier yearsAC9M8N01AC9M8M06On the website

Lessons

  1. 8.01 Squares and square rootsFrom earlier years
  2. Investigation: Proof of Pythagoras' theoremAC9M8M06
  3. 8.02 Pythagoras' theoremAC9M8N01AC9M8M06
  4. 8.03 Find the hypotenuseAC9M8M06
  5. 8.04 Find a short sideAC9M8M06
  6. 8.05 Applications of Pythagoras' theoremAC9M8M06

Curriculum outcomes

AC9M8N01Number

recognise irrational numbers in applied contexts, including square roots and π

AC9M8M06Measurement

use Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles

From earlier years: these lessons revise skills students learnt in earlier years that this year's curriculum builds on, so they aren't linked to an outcome code for this year.

Open Pythagoras' theorem

9MeasurementFrom earlier yearsBuilds on earlier workAC9M8N01AC9M8M01AC9M8M02AC9M8M03On the website

Lessons

  1. 9.01 PerimeterFrom earlier years
  2. 9.02 Circumference of a circleAC9M8N01AC9M8M03
  3. 9.03 Perimeter of composite shapesAC9M8M01
  4. 9.04 Estimation and units of areaAC9M8M01
  5. 9.05 Area of rectangles, triangles and parallelogramsFrom earlier years
  6. 9.06 Area of composite shapesAC9M8M01
  7. 9.07 Area of trapeziums, kites, and rhombusesBuilds on earlier work
  8. Investigation: Area of circlesAC9M8N01AC9M8M03
  9. 9.08 Area of a circleAC9M8M03
  10. 9.09 More composite areasBuilds on earlier work
  11. 9.10 Units of volume and capacityAC9M8M02
  12. 9.11 Volume of right prismsAC9M8M02

Curriculum outcomes

AC9M8N01Number

recognise irrational numbers in applied contexts, including square roots and π

AC9M8M01Measurement

solve problems involving the area and perimeter of irregular and composite shapes using appropriate units

AC9M8M02Measurement

solve problems involving the volume and capacity of right prisms using appropriate units

AC9M8M03Measurement

solve problems involving the circumference and area of a circle using formulas and appropriate units

From earlier years: these lessons revise skills students learnt in earlier years that this year's curriculum builds on, so they aren't linked to an outcome code for this year.

Builds on earlier work: these lessons extend skills from earlier lessons and years, so they are not linked to a new outcome code.

Open Measurement

10ProbabilityAC9M8P01AC9M8P02AC9M8P03On the website

Lessons

  1. 10.01 Calculate probabilityAC9M8P02
  2. 10.02 Intersection and unionAC9M8P01AC9M8P02
  3. 10.03 Venn diagramsAC9M8P02
  4. 10.04 Two-way tablesAC9M8P02
  5. 10.05 Mutually exclusive eventsAC9M8P02
  6. Investigation: Probability simulationsAC9M8P03

Curriculum outcomes

AC9M8P01Probability

recognise that complementary events have a combined probability of one; use this relationship to calculate probabilities in applied contexts

AC9M8P02Probability

determine all possible combinations for 2 events, using two-way tables, tree diagrams and Venn diagrams, and use these to determine probabilities of specific outcomes in practical situations

AC9M8P03Probability

conduct repeated chance experiments and simulations, using digital tools to determine probabilities for compound events, and describe results

Open Probability

11StatisticsFrom earlier yearsAC9M8ST01AC9M8ST02AC9M8ST03AC9M8ST04On the website

Lessons

  1. 11.01 Measures of centre and spreadFrom earlier years
  2. Investigation: Random samplingAC9M8ST01
  3. 11.02 Sampling methodsAC9M8ST01AC9M8ST02
  4. 11.03 BiasAC9M8ST01
  5. 11.04 Compare samples to populationsAC9M8ST03
  6. Investigation: Plan and conduct statistical investigationsAC9M8ST04

Curriculum outcomes

AC9M8ST01Statistics

investigate techniques for data collection including census, sampling, experiment and observation, and explain the practicalities and implications of obtaining data through these techniques

AC9M8ST02Statistics

analyse and report on the distribution of data from primary and secondary sources using random and non-random sampling techniques to select and study samples

AC9M8ST03Statistics

compare variations in distributions and proportions obtained from random samples of the same size drawn from a population and recognise the effect of sample size on this variation

AC9M8ST04Statistics

plan and conduct statistical investigations involving samples of a population; use ethical and fair methods to make inferences about the population and report findings, acknowledging uncertainty

From earlier years: these lessons revise skills students learnt in earlier years that this year's curriculum builds on, so they aren't linked to an outcome code for this year.

Open Statistics