Mr Scott's Shed
topics
Real numbersRational and irrational numbers, surds, recurring decimals, operations with integers, and constructing irrational lengths with a ruler and set square.17 downloadsIndicesThe index laws for multiplying, dividing and raising powers, zero and negative indices, and scientific notation for very large and very small measurements.33 downloadsAlgebraSimplifying expressions, expanding brackets and binomial products, and factorising using common factors, grouping and monic quadratics.35 downloadsLinear relationshipsMidpoint, gradient and distance on the Cartesian plane, equations and graphs of straight lines, parallel and perpendicular lines, direct proportion, linear models and linear inequalities.65 downloadsQuadraticsRecognising quadratic relationships, graphing parabolas and their transformations, the three forms of a quadratic, and solving quadratic equations with graphs, square roots and factorising.73 downloadsFinanceCost, revenue, profit and break-even points, wages, salaries, overtime, commission and super, and simple interest on savings and loans, including re-investing the interest.29 downloadsScale and similaritySimilar right-angled triangles, scale factors, and what enlargement does to lengths, areas and volumes, with investigations on geometry algorithms, estimating heights and distances, and scale diagrams.33 downloadsTrigonometryPythagoras' theorem, the sine, cosine and tangent ratios, finding unknown sides and angles in right-angled triangles, and solving problems with angles of elevation, depression and bearings.37 downloadsMeasurementArea of plane and composite shapes, nets, surface area and volume of prisms and cylinders, and the accuracy of measurements.53 downloadsProbabilityRelative frequency, Venn diagrams and two-way tables with "and" and "or", arrays and tree diagrams, drawing with and without replacement, multi-stage events and simulations.35 downloadsStatisticsTypes of data, choosing and reading data displays, back-to-back stem-and-leaf plots, grouped histograms, the shape of data, comparing data sets, opinion polls, statistics in the media and running your own investigation.45 downloads
scope and sequence

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

1Real numbersAC9M9N01On the website

Lessons

  1. 1.01 Rational and irrational numbersAC9M9N01
  2. 1.02 Operations with integersAC9M9N01
  3. Investigation: Construct irrational numbersAC9M9N01

Curriculum outcomes

AC9M9N01Number

recognise that the real number system includes the rational numbers and the irrational numbers, and solve problems involving real numbers using digital tools

Open Real numbers

2IndicesAC9M9A01On the website

Lessons

  1. 2.01 Multiplication lawAC9M9A01
  2. 2.02 Division lawAC9M9A01
  3. 2.03 Power of a power lawAC9M9A01
  4. 2.04 Zero and negative indicesAC9M9A01
  5. 2.05 Scientific notationAC9M9A01

Curriculum outcomes

AC9M9A01Algebra

apply the exponent laws to numerical expressions with integer exponents and extend to variables

Open Indices

3AlgebraFrom earlier yearsAC9M9A02AC9M9A05On the website

Lessons

  1. 3.01 Algebra reviewFrom earlier years
  2. 3.02 Distributive lawAC9M9A02
  3. 3.03 Binomial expansionAC9M9A02
  4. 3.04 Algebraic factorsAC9M9A02
  5. 3.05 Factorise by groupingAC9M9A02
  6. Investigation: Calendar expressionsAC9M9A05

Curriculum outcomes

AC9M9A02Algebra

simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions

AC9M9A05Algebra

use mathematical modelling to solve applied problems involving change including financial contexts; formulate problems, choosing to use either linear or quadratic functions; interpret solutions in terms of the situation; evaluate the model and report methods and findings

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 Algebra

4Linear relationshipsAC9M9N01AC9M9A03AC9M9A05AC9M9A06AC9M9M03AC9M9M05On the website

Lessons

  1. 4.01 MidpointAC9M9A03
  2. 4.02 GradientAC9M9A03
  3. 4.03 Distance between two pointsAC9M9A03AC9M9M03
  4. Investigation: Transformations of linear graphsAC9M9A06
  5. 4.04 Gradient-intercept formAC9M9A03AC9M9A05
  6. 4.05 Linear graphsAC9M9A03AC9M9A05
  7. 4.06 Parallel and perpendicular linesAC9M9A03
  8. 4.07 Equation of a straight lineAC9M9A03
  9. 4.08 Direct proportionAC9M9A05
  10. 4.09 Model linear equationsAC9M9A05AC9M9M05
  11. 4.10 Linear inequalitiesAC9M9N01

Curriculum outcomes

AC9M9N01Number

recognise that the real number system includes the rational numbers and the irrational numbers, and solve problems involving real numbers using digital tools

AC9M9A03Algebra

find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane

AC9M9A05Algebra

use mathematical modelling to solve applied problems involving change including financial contexts; formulate problems, choosing to use either linear or quadratic functions; interpret solutions in terms of the situation; evaluate the model and report methods and findings

AC9M9A06Algebra

experiment with the effects of the variation of parameters on graphs of related functions, using digital tools, making connections between graphical and algebraic representations, and generalising emerging patterns

AC9M9M03Measurement

solve spatial problems, applying angle properties, scale, similarity, Pythagoras’ theorem and trigonometry in right-angled triangles

AC9M9M05Measurement

use mathematical modelling to solve practical problems involving direct proportion, rates, ratio and scale, including financial contexts; formulate the problems and interpret solutions in terms of the situation; evaluate the model and report methods and findings

Open Linear relationships

5QuadraticsAC9M9A04AC9M9A05AC9M9A06On the website

Lessons

  1. 5.01 Quadratic relationshipsAC9M9A04
  2. 5.02 Graphs and features of quadraticsAC9M9A04AC9M9A06
  3. Investigation: Transformations of quadraticsAC9M9A06
  4. 5.03 Basic quadraticsAC9M9A06
  5. 5.04 Vertical translationsAC9M9A06
  6. 5.05 Horizontal translationsAC9M9A06
  7. 5.06 Turning point formAC9M9A04AC9M9A05
  8. 5.07 Factorised formAC9M9A04AC9M9A05
  9. 5.08 Standard formAC9M9A04AC9M9A05
  10. 5.09 Solutions to quadraticsAC9M9A04AC9M9A05
  11. 5.10 Solve algebraicallyAC9M9A04AC9M9A05
  12. 5.11 Solve by factorisationAC9M9A04AC9M9A05
  13. Investigation: Other non-linear graphsAC9M9A06

Curriculum outcomes

AC9M9A04Algebra

identify and graph quadratic functions, solve quadratic equations graphically and numerically, and solve monic quadratic equations with integer roots algebraically, using graphing software and digital tools as appropriate

AC9M9A05Algebra

use mathematical modelling to solve applied problems involving change including financial contexts; formulate problems, choosing to use either linear or quadratic functions; interpret solutions in terms of the situation; evaluate the model and report methods and findings

AC9M9A06Algebra

experiment with the effects of the variation of parameters on graphs of related functions, using digital tools, making connections between graphical and algebraic representations, and generalising emerging patterns

Open Quadratics

6FinanceBuilds on earlier workAC9M9A05On the website

Lessons

  1. Investigation: FinancesAC9M9A05
  2. 6.01 Cost, profit, revenueAC9M9A05
  3. 6.02 IncomeAC9M9A05
  4. 6.03 Simple interestBuilds on earlier work
  5. 6.04 Re-investing with simple interestBuilds on earlier work

Curriculum outcomes

AC9M9A05Algebra

use mathematical modelling to solve applied problems involving change including financial contexts; formulate problems, choosing to use either linear or quadratic functions; interpret solutions in terms of the situation; evaluate the model and report methods and findings

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

Open Finance

7Scale and similarityAC9M9M03AC9M9M05AC9M9SP01AC9M9SP02AC9M9SP03On the website

Lessons

  1. Investigation: Algorithms in geometryAC9M9SP03
  2. 7.01 Similar right-angled trianglesAC9M9M03AC9M9SP01
  3. 7.02 Scale factorsAC9M9M03AC9M9M05AC9M9SP02
  4. Investigation: Guessing distanceAC9M9M05
  5. 7.03 Scale and areaAC9M9M03AC9M9SP02
  6. 7.04 Scale and volumeAC9M9SP02
  7. Investigation: Scale diagramsAC9M9M03

Curriculum outcomes

AC9M9M03Measurement

solve spatial problems, applying angle properties, scale, similarity, Pythagoras’ theorem and trigonometry in right-angled triangles

AC9M9M05Measurement

use mathematical modelling to solve practical problems involving direct proportion, rates, ratio and scale, including financial contexts; formulate the problems and interpret solutions in terms of the situation; evaluate the model and report methods and findings

AC9M9SP01Space

recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity

AC9M9SP02Space

apply the enlargement transformation to shapes and objects using dynamic geometry software as appropriate; identify and explain aspects that remain the same and those that change

AC9M9SP03Space

design, test and refine algorithms involving a sequence of steps and decisions based on geometric constructions and theorems; discuss and evaluate refinements

Open Scale and similarity

8TrigonometryAC9M9M03AC9M9SP01AC9M9SP03On the website

Lessons

  1. 8.01 Pythagoras' theoremAC9M9M03AC9M9SP01
  2. Investigation: The triangle inequalityAC9M9M03AC9M9SP03
  3. Investigation: Ratios in trianglesAC9M9SP01
  4. 8.02 Trigonometric ratiosAC9M9SP01
  5. 8.03 Side lengthsAC9M9SP01
  6. 8.04 AnglesAC9M9SP01
  7. 8.05 Applications of trigonometryAC9M9M03

Curriculum outcomes

AC9M9M03Measurement

solve spatial problems, applying angle properties, scale, similarity, Pythagoras’ theorem and trigonometry in right-angled triangles

AC9M9SP01Space

recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity

AC9M9SP03Space

design, test and refine algorithms involving a sequence of steps and decisions based on geometric constructions and theorems; discuss and evaluate refinements

Open Trigonometry

9MeasurementAC9M9N01AC9M9A05AC9M9M01AC9M9M02AC9M9M04On the website

Lessons

  1. 9.01 AreaAC9M9N01AC9M9A05
  2. 9.02 Area of composite shapesAC9M9N01AC9M9A05
  3. 9.03 Nets of prismsAC9M9M01
  4. 9.04 Surface area of prismsAC9M9M01
  5. 9.05 Volume of prismsAC9M9M01
  6. 9.06 Accuracy of measurementAC9M9N01AC9M9M02AC9M9M04
  7. Investigation: Volume versus areaAC9M9M01
  8. 9.07 Surface area of cylindersAC9M9N01AC9M9M01
  9. 9.08 Volume of cylindersAC9M9N01AC9M9M01

Curriculum outcomes

AC9M9N01Number

recognise that the real number system includes the rational numbers and the irrational numbers, and solve problems involving real numbers using digital tools

AC9M9A05Algebra

use mathematical modelling to solve applied problems involving change including financial contexts; formulate problems, choosing to use either linear or quadratic functions; interpret solutions in terms of the situation; evaluate the model and report methods and findings

AC9M9M01Measurement

solve problems involving the volume and surface area of right prisms and cylinders using appropriate units

AC9M9M02Measurement

solve problems involving very small and very large measurements, time scales and intervals expressed in scientific notation

AC9M9M04Measurement

calculate and interpret absolute, relative and percentage errors in measurements, recognising that all measurements are estimates

Open Measurement

10ProbabilityAC9M9P01AC9M9P02AC9M9P03On the website

Lessons

  1. 10.01 Experimental probabilityAC9M9P01AC9M9P02
  2. 10.02 Venn diagrams and two-way tablesAC9M9P01AC9M9P02
  3. 10.03 Arrays and simple tree diagramsAC9M9P01AC9M9P03
  4. 10.04 With and without replacementAC9M9P01AC9M9P03
  5. 10.05 Multi-stage probabilityAC9M9P01AC9M9P03
  6. Investigation: Simulation of compound eventsAC9M9P03

Curriculum outcomes

AC9M9P01Probability

list all outcomes for compound events both with and without replacement, using lists, tree diagrams, tables or arrays; assign probabilities to outcomes

AC9M9P02Probability

calculate relative frequencies from given or collected data to estimate probabilities of events involving “and”, inclusive “or” and exclusive “or”

AC9M9P03Probability

design and conduct repeated chance experiments and simulations, using digital tools to compare probabilities of simple events to related compound events, and describe results

Open Probability

11StatisticsBuilds on earlier workAC9M9ST01AC9M9ST02AC9M9ST03AC9M9ST04AC9M9ST05On the website

Lessons

  1. 11.01 Types of dataBuilds on earlier work
  2. 11.02 Data displaysAC9M9ST01AC9M9ST02AC9M9ST04
  3. Investigation: Opinion PollsAC9M9ST01
  4. 11.03 Back-to-back stem and leafAC9M9ST03AC9M9ST04
  5. 11.04 Grouped histogramsAC9M9ST03AC9M9ST04
  6. 11.05 Shape of dataAC9M9ST03
  7. Investigation: Statistical reports in the mediaAC9M9ST01
  8. 11.06 Compare data setsAC9M9ST01AC9M9ST04
  9. Investigation: Plan and conduct statistical investigationsAC9M9ST05

Curriculum outcomes

AC9M9ST01Statistics

analyse reports of surveys in digital media and elsewhere for information on how data was obtained to estimate population means and medians

AC9M9ST02Statistics

analyse how different sampling methods can affect the results of surveys and how choice of representation can be used to support a particular point of view

AC9M9ST03Statistics

represent the distribution of multiple data sets for numerical variables using comparative representations; compare data distributions with consideration of centre, spread and shape, and the effect of outliers on these measures

AC9M9ST04Statistics

choose appropriate forms of display or visualisation for a given type of data; justify selections and interpret displays for a given context

AC9M9ST05Statistics

plan and conduct statistical investigations involving the collection and analysis of different kinds of data; report findings and discuss the strength of evidence to support any conclusions

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

Open Statistics