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Intermediate · ages 11 to 14 · 51 steps

Middle-school maths, Grades 6 to 8

Chapters follow the usual shape of a middle-school course: a big idea, worked examples in the topic notes, an interactive lesson to explore it, then skills to practise until you reach a SmartScore of 80.

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Unit 1

Ratios and proportional relationships

Big question: How do you compare two quantities, and keep a recipe the same when you scale it?

0 of 5
  1. Ratio RecipeGame · about 5 minPlay a round
  2. Practise: Simplifying ratiosSkill practice · about 8 minReach a SmartScore of 80
  3. Ratio and ProportionNotes and examples · about 12 minRead it, try the examples, then tick it off
  4. Direct and Inverse ProportionNotes and examples · about 12 minRead it, try the examples, then tick it off
  5. Estimation StationGame · about 4 minPlay a round
Unit 2

The number system

Big question: How do fractions, decimals and negative numbers fit on one number line?

0 of 13
  1. FractionsNotes and examples · about 12 minRead it, try the examples, then tick it off
  2. Practise: Simplifying fractionsSkill practice · about 8 minReach a SmartScore of 80
  3. Practise: Dividing fractionsSkill practice · about 8 minReach a SmartScore of 80
  4. DecimalsNotes and examples · about 12 minRead it, try the examples, then tick it off
  5. HCF and LCMNotes and examples · about 12 minRead it, try the examples, then tick it off
  6. Practise: Highest common factor and lowest common multipleSkill practice · about 8 minReach a SmartScore of 80
  7. Negative NumbersInteractive lesson · about 7 minFinish the lesson
  8. IntegersNotes and examples · about 12 minRead it, try the examples, then tick it off
  9. Practise: Adding and subtracting negative numbersSkill practice · about 8 minReach a SmartScore of 80
  10. Practise: Multiplying and dividing integersSkill practice · about 8 minReach a SmartScore of 80
  11. Integer IslandGame · about 5 minPlay a round
  12. Squares and Square RootsNotes and examples · about 12 minRead it, try the examples, then tick it off
  13. Practise: Square rootsSkill practice · about 8 minReach a SmartScore of 80
Unit 3

Expressions and equations

Big question: How can letters stand for numbers, and how do you find the one that makes a statement true?

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  1. Algebraic ExpressionsNotes and examples · about 12 minRead it, try the examples, then tick it off
  2. Practise: Evaluating algebraic expressionsSkill practice · about 8 minReach a SmartScore of 80
  3. Algebra QuestGame · about 5 minPlay a round
  4. Practise: One-step equationsSkill practice · about 8 minReach a SmartScore of 80
  5. Solving EquationsInteractive lesson · about 7 minFinish the lesson
  6. Linear Equations in One VariableNotes and examples · about 12 minRead it, try the examples, then tick it off
  7. Practise: Two-step equationsSkill practice · about 8 minReach a SmartScore of 80
  8. Equation BalanceGame · about 4 minPlay a round
  9. Exponents and PowersNotes and examples · about 12 minRead it, try the examples, then tick it off
  10. Practise: Laws of exponentsSkill practice · about 8 minReach a SmartScore of 80
  11. Practise: Scientific notationSkill practice · about 8 minReach a SmartScore of 80
  12. FactorisationNotes and examples · about 12 minRead it, try the examples, then tick it off
Unit 4

Percentages and money

Big question: How do percentages describe change, profit and interest?

0 of 5
  1. PercentageNotes and examples · about 12 minRead it, try the examples, then tick it off
  2. Practise: Percentage increase and decreaseSkill practice · about 8 minReach a SmartScore of 80
  3. Profit and LossNotes and examples · about 12 minRead it, try the examples, then tick it off
  4. Simple InterestNotes and examples · about 12 minRead it, try the examples, then tick it off
  5. Compound InterestNotes and examples · about 12 minRead it, try the examples, then tick it off
Unit 5

Geometry

Big question: How are lengths, areas and angles connected?

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  1. Perimeter and AreaNotes and examples · about 12 minRead it, try the examples, then tick it off
  2. Practise: Area of rectangles, triangles and parallelogramsSkill practice · about 8 minReach a SmartScore of 80
  3. Circles: Area and CircumferenceNotes and examples · about 12 minRead it, try the examples, then tick it off
  4. Practise: Circles, circumference and areaSkill practice · about 8 minReach a SmartScore of 80
  5. The Pythagorean TheoremInteractive lesson · about 7 minFinish the lesson
  6. Pythagoras TheoremNotes and examples · about 12 minRead it, try the examples, then tick it off
  7. Practise: Pythagorean theoremSkill practice · about 8 minReach a SmartScore of 80
  8. MensurationNotes and examples · about 12 minRead it, try the examples, then tick it off
  9. Cubes and Cube RootsNotes and examples · about 12 minRead it, try the examples, then tick it off
Unit 6

Statistics and probability

Big question: How do we describe data, and how likely is something to happen?

0 of 3
  1. Mean, Median and ModeNotes and examples · about 12 minRead it, try the examples, then tick it off
  2. Probability BasicsInteractive lesson · about 7 minFinish the lesson
  3. CorrelationInteractive lesson · about 7 minFinish the lesson
Unit 7

Functions and graphs

Big question: How does one quantity change when another does?

0 of 4
  1. Slope and Straight LinesInteractive lesson · about 7 minFinish the lesson
  2. Practise: Slope between two pointsSkill practice · about 8 minReach a SmartScore of 80
  3. Practise: Linear functions, finding ySkill practice · about 8 minReach a SmartScore of 80
  4. Coordinate BattleshipsGame · about 4 minPlay a round

FAQ

Middle-school maths, Grades 6 to 8: questions

Who is the Middle-school maths, Grades 6 to 8 path for?

Learners aged about 11 to 14. It is a intermediate path, so start at the top and move down the map at your own pace.

How many steps are there?

51 steps in 7 units, about 7.8 hours in all. Most steps take five to fifteen minutes.

Do I have to do the steps in order?

No, but the order is designed so that each unit builds on the one before. If a step feels too easy, skip ahead; if it feels too hard, go back a step.

How does it remember my progress?

In this browser, automatically. With a free account it is saved on every device you sign in on.

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