Ratios, rates & proportion
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Focus areas in this topic
Stage 4: Ratios and rates · Stage 5: Variation and rates of change A (Path) · Stage 5: Variation and rates of change B (Path) · Mathematics Standard 11–12 – Year 12 – Standard 1: Ratios and rates · Mathematics Standard 11–12 – Year 12 – Standard 2: Ratios and rates · Mathematics Extension 2 11–12 – Year 12: Further integration
Stage 4 (Year 7, 8)
- GameDrillMath Playground: Thinking Blocks RatioUse it for: Model ratio word problems with bar models.
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolStarterMaths Is Fun: ProportionsUse it for: Solving proportion problems.
- Interactive toolStarterMaths Is Fun: RatiosUse it for: What ratios are and how to simplify them.
- SimulationStarterPhET Proportion PlaygroundUse it for: Explore equivalent ratios with paint mixtures and necklaces.
- SimulationStarterPhET Ratio and ProportionUse it for: Feel proportional relationships by moving two hands at a fixed ratio.
- PhET Unit RatesUse it for: Use double number lines for unit price and best-buy problems.
- Corbettmaths practice questions: Graphs: distance-time graphsUse it for: Free printable graded practice questions (with answers) on graphs: distance-time graphs for drill or a quick check.
- Corbettmaths practice questions: Number: best buysUse it for: Free printable graded practice questions (with answers) on number: best buys for drill or a quick check.
- Corbettmaths practice questions: Ratio: simplifyingUse it for: Free printable graded practice questions (with answers) on ratio: simplifying for drill or a quick check.
- Corbettmaths practice questions: Speed, distance and timeUse it for: Free printable graded practice questions (with answers) on speed, distance and time for drill or a quick check.
- WorksheetDrillKuta free worksheet: Comparing rates (best buys)Use it for: Printable skills-practice sheet with answer key on comparing rates (best buys); good for drill or homework.
- WorksheetDrillKuta free worksheet: Equivalent ratiosUse it for: Printable skills-practice sheet with answer key on equivalent ratios; good for drill or homework.
- WorksheetDrillKuta free worksheet: Introduction to ratiosUse it for: Printable skills-practice sheet with answer key on introduction to ratios; good for drill or homework.
- WorksheetDrillKuta free worksheet: Part-part-whole ratiosUse it for: Printable skills-practice sheet with answer key on part-part-whole ratios; good for drill or homework.
- WorksheetDrillKuta free worksheet: Proportion word problemsUse it for: Printable skills-practice sheet with answer key on proportion word problems; good for drill or homework.
- WorksheetDrillKuta free worksheet: Unit ratesUse it for: Printable skills-practice sheet with answer key on unit rates; good for drill or homework.
- WorksheetDrillTransum: Ratios vs FractionsUse it for: Self-marking practice relating ratios to fractions of the whole.
- NRICH: How Far Does It Move?Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Mixing LemonadeUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Mixing PaintsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- Open Middle: Finding Equivalent Ratios 2Use it for: Fill-the-boxes puzzle using digits 0-9 once; many paths to an optimal answer, good extension.
- VideoStarterCorbettmaths video: Graphs: distance-time graphsUse it for: Short worked-example video on graphs: distance-time graphs to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Number: best buysUse it for: Short worked-example video on number: best buys to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Proportion: unitary methodUse it for: Short worked-example video on proportion: unitary method to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Ratio: express as fractions or %Use it for: Short worked-example video on ratio: express as fractions or % to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Ratio: given one valueUse it for: Short worked-example video on ratio: given one value to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Ratio: sharing the totalUse it for: Short worked-example video on ratio: sharing the total to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Ratio: simplifyingUse it for: Short worked-example video on ratio: simplifying to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Speed, distance and timeUse it for: Short worked-example video on speed, distance and time to model the method before practice or for flipped revision.
- VideoStarterEddie Woo (WooTube): Basic Ratios & Rates playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on ratios & rates; play a clip to model a method or for revision.
- Unit/PlanningStage 4 Unit 13 – ratio and rates (sample unit of learning)
Stage 5 (Year 9, 10)
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolStarterMaths Is Fun: Directly and inversely proportionalUse it for: Direct and inverse variation explained with examples and questions.
- Corbettmaths practice questions: Graphs: conversion graphs (interpret)Use it for: Free printable graded practice questions (with answers) on graphs: conversion graphs (interpret) for drill or a quick check.
- Corbettmaths practice questions: Graphs: filling containersUse it for: Free printable graded practice questions (with answers) on graphs: filling containers for drill or a quick check.
- Corbettmaths practice questions: Proportion: GraphsUse it for: Free printable graded practice questions (with answers) on proportion: graphs for drill or a quick check.
- Corbettmaths practice questions: Proportion: directUse it for: Free printable graded practice questions (with answers) on proportion: direct for drill or a quick check.
- WorksheetDrillKuta free worksheet: Direct and inverse variationUse it for: Printable skills-practice sheet with answer key on direct and inverse variation; good for drill or homework.
- WorksheetDrillKuta free worksheet: Direct variationUse it for: Printable skills-practice sheet with answer key on direct variation; good for drill or homework.
- VideoStarterCorbettmaths video: Graphs: conversion graphs (interpret)Use it for: Short worked-example video on graphs: conversion graphs (interpret) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Graphs: filling containersUse it for: Short worked-example video on graphs: filling containers to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Proportion: GraphsUse it for: Short worked-example video on proportion: graphs to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Proportion: directUse it for: Short worked-example video on proportion: direct to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Proportion: inverseUse it for: Short worked-example video on proportion: inverse to model the method before practice or for flipped revision.
- Unit/PlanningStage 5 Unit 6 – constant rates of change (sample unit of learning)
- Unit/PlanningStage 5 Year 10 – maths in science elective (sample unit of learning)
Standard Year 11 (Year 11)
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Corbettmaths practice questions: Speed, distance and timeUse it for: Free printable graded practice questions (with answers) on speed, distance and time for drill or a quick check.
- WorksheetDrillKuta free worksheet: Direct variationUse it for: Printable skills-practice sheet with answer key on direct variation; good for drill or homework.
- VideoStarterCorbettmaths video: Speed, distance and timeUse it for: Short worked-example video on speed, distance and time to model the method before practice or for flipped revision.
Advanced Year 11 (Year 11)
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
Standard Year 12 (Year 12)
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Unit/PlanningMathematics Standard (2024) Year 12 Unit 2 – managing events (part 1)
Extension 1 (Year 11, 12)
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
Advanced Year 12 (Year 12)
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
Extension 2 (Year 12)
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.