Mr Scott's Shed
topics
Whole numbersAdding, subtracting, multiplying and dividing whole numbers, the order of operations, estimating, calculators and writing number sentences.47 downloadsPowers, factors and multiplesThe number laws, square numbers and square roots, powers and powers of ten, factors, multiples and primes, prime factorisation, and the HCF and LCM.55 downloadsIntegersPositive and negative whole numbers on the number line, comparing and ordering them, and adding and subtracting integers.23 downloadsFractionsReading, comparing and ordering fractions (including negative fractions), equivalent fractions, and adding, subtracting, multiplying and dividing fractions and mixed numbers.55 downloadsDecimalsPlace value, comparing and ordering decimals, the four operations with decimals, converting between fractions and decimals, and rounding to a sensible accuracy.39 downloadsPercentagesChanging between fractions, decimals and percentages, comparing percentages, writing one amount as a percentage of another, finding percentages of amounts, and using a calculator for percentage problems.33 downloadsRatios and ratesWriting ratios to compare amounts, equivalent and simplified ratios, and sharing a quantity in a given ratio or finding the whole from one part.21 downloadsAlgebraUsing letters to stand for numbers, writing expressions from words, substituting values into formulas, and collecting like terms.27 downloadsEquationsWhat an equation is, checking solutions, writing rules for tables and patterns, and solving one-step and two-step equations.27 downloadsNumber planeReading and plotting points on the number plane in all four quadrants, and making tables of values and straight-line graphs from rules, patterns and real data.21 downloadsAngles, lines and shapesMeasuring and drawing angles, angles on parallel lines, triangles and quadrilaterals, angle sums of polygons and algorithms that sort shapes.29 downloadsLength and areaUnits of length, perimeter, the area of rectangles, triangles, parallelograms and composite shapes, and the circumference of a circle.53 downloadsSolids and volumeNets of prisms and pyramids, drawing and visualising solids, volume with unit cubes, units of volume and capacity, the volume of right prisms, and how changing one measurement changes a formula.39 downloadsTransformationsTranslations, reflections and rotations of shapes on grids and the number plane, combining transformations, tessellations, and line and rotational symmetry.41 downloadsProbabilityThe language of chance, probabilities as fractions, decimals and percentages from 0 to 1, theoretical and experimental probability, and simulations.29 downloadsStatisticsTypes of data, frequency tables, the mean, median, mode and range, outliers, and reading and drawing dot plots, column graphs, stem-and-leaf plots, pie charts and line graphs.53 downloads
scope and sequence

The order we work through Year 7 Maths, and the Australian Curriculum (version 9) outcomes each topic covers. Click a topic to see its lessons and what each outcome means.

1Whole numbersFrom earlier yearsOn the website

Lessons

  1. 1.01 Addition and subtractionFrom earlier years
  2. 1.02 MultiplicationFrom earlier years
  3. 1.03 DivisionFrom earlier years
  4. 1.04 Order of operations with whole numbersFrom earlier years
  5. 1.05 Check reasonableness of calculationsFrom earlier years
  6. Investigation: How long does it take to count to a million?From earlier years
  7. 1.06 Number calculations with technologyFrom earlier years
  8. 1.07 Write mathematical statementsFrom earlier years

Curriculum outcomes

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 Whole numbers

2Powers, factors and multiplesAC9M7N01AC9M7N03AC9M7A02On the website

Lessons

  1. 2.01 Number operation propertiesAC9M7A02
  2. 2.02 Square numbersAC9M7N01
  3. 2.03 Square rootsAC9M7N01
  4. 2.04 Powers of whole numbersAC9M7N03
  5. 2.05 Powers of tenAC9M7N03
  6. 2.06 Factors and multiplesAC9M7A02
  7. 2.07 Prime factorisationsAC9M7A02
  8. Investigation: Celtic knotsAC9M7A02
  9. 2.08 HCF and LCMAC9M7A02
  10. Investigation: The sieve of EratosthenesAC9M7A02

Curriculum outcomes

AC9M7N01Number

describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems

AC9M7N03Number

represent natural numbers in expanded notation using place value and powers of 10

AC9M7A02Algebra

formulate algebraic expressions using constants, variables, operations and brackets

Open Powers, factors and multiples

3IntegersAC9M7N07On the website

Lessons

  1. 3.01 Integers and the number lineAC9M7N07
  2. 3.02 Compare integersAC9M7N07
  3. Investigation: Life-size number lineAC9M7N07
  4. 3.03 Add and subtract integersAC9M7N07

Curriculum outcomes

AC9M7N07Number

compare, order and solve problems involving addition and subtraction of integers

Open Integers

4FractionsAC9M7N04AC9M7N06AC9M7N09On the website

Lessons

  1. 4.01 Identify, order and compare fractionsAC9M7N04
  2. 4.02 Negative fractionsAC9M7N04
  3. 4.03 Equivalent and simplified fractionsAC9M7N04
  4. Investigation: Fraction flowersAC9M7N04AC9M7N06AC9M7N09
  5. 4.04 Add and subtract fractionsAC9M7N06AC9M7N09
  6. Investigation: Egyptian fractionsAC9M7N04AC9M7N06AC9M7N09
  7. 4.05 Fractions of a quantityAC9M7N06
  8. 4.06 Multiply fractionsAC9M7N06
  9. 4.07 Divide fractionsAC9M7N06
  10. 4.08 Order of operations with fractionsAC9M7N06

Curriculum outcomes

AC9M7N04Number

find equivalent representations of rational numbers and represent rational numbers on a number line

AC9M7N06Number

use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies

AC9M7N09Number

use mathematical modelling to solve practical problems, involving rational numbers and percentages, including financial contexts; formulate problems, choosing representations and efficient calculation strategies, using digital tools as appropriate; interpret and communicate solutions in terms of the situation, justifying choices made about the representation

Open Fractions

5DecimalsAC9M7N05AC9M7N06On the website

Lessons

  1. 5.01 Decimals and place valueAC9M7N05
  2. 5.02 Add and subtract decimalsAC9M7N06
  3. 5.03 Convert between fractions and decimalsAC9M7N06
  4. 5.04 Multiply decimalsAC9M7N06
  5. 5.05 Divide decimalsAC9M7N06
  6. 5.06 Round decimalsAC9M7N05

Curriculum outcomes

AC9M7N05Number

round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions

AC9M7N06Number

use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies

Open Decimals

6PercentagesAC9M7N04AC9M7N06AC9M7N09On the website

Lessons

  1. 6.01 Fractions, decimals and percentagesAC9M7N04
  2. 6.02 Compare percentagesAC9M7N04
  3. 6.03 Express a quantity as a percentageAC9M7N06AC9M7N09
  4. 6.04 Percentages of a quantityAC9M7N06AC9M7N09
  5. 6.05 Percentages with technologyAC9M7N06AC9M7N09

Curriculum outcomes

AC9M7N04Number

find equivalent representations of rational numbers and represent rational numbers on a number line

AC9M7N06Number

use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies

AC9M7N09Number

use mathematical modelling to solve practical problems, involving rational numbers and percentages, including financial contexts; formulate problems, choosing representations and efficient calculation strategies, using digital tools as appropriate; interpret and communicate solutions in terms of the situation, justifying choices made about the representation

Open Percentages

7Ratios and ratesAC9M7N08AC9M7M06On the website

Lessons

  1. 7.01 Identify ratiosAC9M7N08AC9M7M06
  2. 7.02 Equivalent and simplified ratiosAC9M7N08AC9M7M06
  3. 7.03 Find part or whole measuresAC9M7N08AC9M7M06

Curriculum outcomes

AC9M7N08Number

recognise, represent and solve problems involving ratios

AC9M7M06Measurement

use mathematical modelling to solve practical problems involving ratios; formulate problems, interpret and communicate solutions in terms of the situation, justifying choices made about the representation

Open Ratios and rates

8AlgebraAC9M7A01AC9M7A02AC9M7A05On the website

Lessons

  1. 8.01 Introduction to variablesAC9M7A01
  2. 8.02 Build algebraic expressionsAC9M7A01AC9M7A02
  3. 8.03 SubstitutionAC9M7A01AC9M7A05
  4. 8.04 Collect like termsAC9M7A02

Curriculum outcomes

AC9M7A01Algebra

recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown

AC9M7A02Algebra

formulate algebraic expressions using constants, variables, operations and brackets

AC9M7A05Algebra

generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane

Open Algebra

9EquationsAC9M7A02AC9M7A03AC9M7A05On the website

Lessons

  1. 9.01 Introduction to equationsAC9M7A03
  2. 9.02 Write rules for relationshipsAC9M7A02AC9M7A05
  3. 9.03 One-step equationsAC9M7A03
  4. 9.04 Two-step equationsAC9M7A03

Curriculum outcomes

AC9M7A02Algebra

formulate algebraic expressions using constants, variables, operations and brackets

AC9M7A03Algebra

solve one-variable linear equations with natural number solutions; verify the solution by substitution

AC9M7A05Algebra

generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane

Open Equations

10Number planeAC9M7A04AC9M7A05On the website

Lessons

  1. 10.01 The number planeAC9M7A05
  2. 10.02 Directed numbers on the number planeAC9M7A05
  3. 10.03 Graphs of linear relationshipsAC9M7A04AC9M7A05

Curriculum outcomes

AC9M7A04Algebra

describe relationships between variables represented in graphs of functions from authentic data

AC9M7A05Algebra

generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane

Open Number plane

11Angles, lines and shapesFrom earlier yearsAC9M7M04AC9M7M05AC9M7SP02AC9M7SP04On the website

Lessons

  1. 11.01 Measure anglesFrom earlier years
  2. 11.02 Parallel lines and transversalsAC9M7M04
  3. 11.03 TrianglesAC9M7M05AC9M7SP02
  4. 11.04 QuadrilateralsAC9M7M05AC9M7SP02
  5. Investigation: Sort shapes with algorithmsAC9M7SP04

Curriculum outcomes

AC9M7M04Measurement

identify corresponding, alternate and co-interior relationships between angles formed when parallel lines are crossed by a transversal; use them to solve problems and explain reasons

AC9M7M05Measurement

demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the interior angle sum of other shapes and the size of unknown angles

AC9M7SP02Space

classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships

AC9M7SP04Space

design and create algorithms involving a sequence of steps and decisions that will sort and classify sets of shapes according to their attributes, and describe how the algorithms work

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 Angles, lines and shapes

12Length and areaFrom earlier yearsAC9M7M01AC9M7M03On the website

Lessons

  1. 12.01 Units of lengthFrom earlier years
  2. 12.02 PerimeterFrom earlier years
  3. 12.03 Perimeter of composite shapesFrom earlier years
  4. 12.04 Area of rectangles and squaresAC9M7M01
  5. 12.05 Area of trianglesAC9M7M01
  6. 12.06 Area of parallelogramsAC9M7M01
  7. 12.07 Area of composite shapesAC9M7M01
  8. Investigation: Explore circlesAC9M7M03
  9. 12.08 Circumference of a circleAC9M7M03

Curriculum outcomes

AC9M7M01Measurement

solve problems involving the area of triangles and parallelograms using established formulas and appropriate units

AC9M7M03Measurement

describe the relationship between π and the features of circles including the circumference, radius and diameter

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 Length and area

13Solids and volumeAC9M7A06AC9M7M02AC9M7SP01On the website

Lessons

  1. 13.01 Nets of solidsAC9M7SP01
  2. 13.02 Visualise solidsAC9M7SP01
  3. 13.03 Volume using unit cubesAC9M7M02
  4. 13.04 Units of volumeAC9M7M02
  5. 13.05 Volume of right prismsAC9M7M02
  6. 13.06 Attributes in measurement formulaAC9M7A06

Curriculum outcomes

AC9M7A06Algebra

manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables

AC9M7M02Measurement

solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units

AC9M7SP01Space

represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations

Open Solids and volume

14TransformationsFrom earlier yearsAC9M7SP03On the website

Lessons

  1. 14.01 Transformation of shapesFrom earlier years
  2. 14.02 TranslationsAC9M7SP03
  3. 14.03 ReflectionsAC9M7SP03
  4. 14.04 RotationsAC9M7SP03
  5. 14.05 Multiple transformationsAC9M7SP03
  6. Investigation: TessellationsAC9M7SP03
  7. 14.06 Line and rotational symmetryAC9M7SP03

Curriculum outcomes

AC9M7SP03Space

describe transformations of a set of points using coordinates in the Cartesian plane, translations and reflections on an axis, and rotations about a given point

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 Transformations

15ProbabilityAC9M7P01AC9M7P02On the website

Lessons

  1. 15.01 Language of probabilityAC9M7P01
  2. 15.02 Probability as a numberAC9M7P01
  3. 15.03 Theoretical probabilityAC9M7P01
  4. 15.04 Experimental probabilityAC9M7P01
  5. Investigation: SimulationsAC9M7P02

Curriculum outcomes

AC9M7P01Probability

identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events

AC9M7P02Probability

conduct repeated chance experiments and run simulations with a large number of trials using digital tools; compare predictions about outcomes with observed results, explaining the differences

Open Probability

16StatisticsFrom earlier yearsAC9M7A04AC9M7ST01AC9M7ST02AC9M7ST03On the website

Lessons

  1. 16.01 Types of dataFrom earlier years
  2. 16.02 Frequency tablesFrom earlier years
  3. 16.03 Summarise dataAC9M7ST01
  4. 16.04 OutliersAC9M7ST01
  5. 16.05 Dot plots and column graphsAC9M7ST02
  6. 16.06 Stem-and-leaf plotsAC9M7ST02
  7. 16.07 Pie chartsAC9M7ST02
  8. 16.08 Line graphsAC9M7A04
  9. Investigation: Statistical investigationsAC9M7ST01AC9M7ST02AC9M7ST03

Curriculum outcomes

AC9M7A04Algebra

describe relationships between variables represented in graphs of functions from authentic data

AC9M7ST01Statistics

acquire data sets for discrete and continuous numerical variables and calculate the range, median, mean and mode; make and justify decisions about which measures of central tendency provide useful insights into the nature of the distribution of data

AC9M7ST02Statistics

create different types of numerical data displays including stem-and-leaf plots using software where appropriate; describe and compare the distribution of data, commenting on the shape, centre and spread including outliers and determining the range, median, mean and mode

AC9M7ST03Statistics

plan and conduct statistical investigations involving data for discrete and continuous numerical variables; analyse and interpret distributions of data and report findings in terms of shape and summary statistics

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