Linear relationships
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Stage 4: Linear relationships · Stage 5: Linear relationships A · Stage 5: Linear relationships B · Stage 5: Linear relationships C (Path) · Mathematics Standard 11–12 – Year 11: Linear relationships
Stage 3 (Year 5, 6)
- Transum: CoordinatesUse it for: Plot points in all four quadrants.
- Interactive toolEnrichmentMathigon: Transformations and SymmetryUse it for: Interactive lessons on reflections, rotations and symmetry.
- Mathsisfun: Cartesian coordinatesUse it for: Drag a point to read coordinates in all 4 quadrants.
- NRICH: Shifting Times TablesUse it for: Spot the rule for shifted times-table sequences.
Stage 4 (Year 7, 8)
- Transum: CoordinatesUse it for: Plot points in all four quadrants.
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
- Mathigon: Fibonacci numbersUse it for: Enrichment on Fibonacci patterns in nature.
- Mathigon: Figurate numbersUse it for: Extension: triangular, square and pentagonal number patterns.
- Interactive toolStarterMathigon: Introduction to sequencesUse it for: Spot and describe number patterns from pictures.
- Mathigon: Sierpinski triangleUse it for: Enrichment on self-similar patterns and powers.
- Interactive toolStarterMaths Is Fun: SequencesUse it for: Number patterns and rules.
- Mathsisfun: Cartesian coordinatesUse it for: Drag a point to read coordinates in all 4 quadrants.
- Interactive toolStarterNRICH: Interactive Number PatternsUse it for: Describe and extend number patterns, then write the rule.
- NRICH: Shifting Times TablesUse it for: Spot the rule for shifted times-table sequences.
- PhET Function BuilderUse it for: Input-output machines for writing rules and functions.
- Corbettmaths practice questions: CoordinatesUse it for: Free printable graded practice questions (with answers) on coordinates for drill or a quick check.
- Corbettmaths practice questions: Graphs: real life linear graphsUse it for: Free printable graded practice questions (with answers) on graphs: real life linear graphs for drill or a quick check.
- Corbettmaths practice questions: Linear graphs: drawing (xy table)Use it for: Free printable graded practice questions (with answers) on linear graphs: drawing (xy table) for drill or a quick check.
- Corbettmaths practice questions: Sequences: nth termUse it for: Free printable graded practice questions (with answers) on sequences: nth term for drill or a quick check.
- Corbettmaths practice questions: Sequences: patternsUse it for: Free printable graded practice questions (with answers) on sequences: patterns for drill or a quick check.
- WorksheetDrillKuta free worksheet: Coordinate plane word problemsUse it for: Printable skills-practice sheet with answer key on coordinate plane word problems; good for drill or homework.
- WorksheetDrillKuta free worksheet: Systems of equations by graphingUse it for: Printable skills-practice sheet with answer key on systems of equations by graphing; good for drill or homework.
- NRICH: Charlie's Delightful MachineUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Cubes Within CubesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Seven SquaresUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- Visual Patterns (Fawn Nguyen)Use it for: Hundreds of growing picture patterns; students find the rule and predict step 43.
- VideoStarterCorbettmaths video: CoordinatesUse it for: Short worked-example video on coordinates to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Graphs: real life linear graphsUse it for: Short worked-example video on graphs: real life linear graphs to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: drawing (xy table)Use it for: Short worked-example video on linear graphs: drawing (xy table) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Sequences: nth termUse it for: Short worked-example video on sequences: nth term to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Sequences: patternsUse it for: Short worked-example video on sequences: patterns to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Simultaneous equations (graphical)Use it for: Short worked-example video on simultaneous equations (graphical) to model the method before practice or for flipped revision.
- VideoStarterEddie Woo (WooTube): Basic Linear Relationships playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on linear relationships; play a clip to model a method or for revision.
- Unit/PlanningStage 4 Unit 14 – analysing patterns (sample unit of learning)
- Unit/PlanningStage 4 Unit 3 – representing numbers (sample unit of learning)
Stage 5 (Year 9, 10)
- Desmos Classroom: Marbleslides (Lines)Use it for: Students adjust line equations and domains so marbles hit stars.
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
- Interactive toolStarterMathigon: Rigid transformationsUse it for: Drag-and-drop translations, reflections and rotations on the plane.
- Mathigon: Sierpinski triangleUse it for: Enrichment on self-similar patterns and powers.
- Interactive toolStarterMathigon: SymmetryUse it for: Find lines of symmetry and rotational symmetry interactively.
- Interactive toolEnrichmentMathigon: Transformations and SymmetryUse it for: Interactive lessons on reflections, rotations and symmetry.
- Interactive toolStarterMaths Is Fun: Gradient (slope)Use it for: Interactive line showing rise over run.
- Interactive toolStarterMaths Is Fun: Midpoint of a line segmentUse it for: Interactive midpoint finder.
- Interactive toolStarterMaths Is Fun: Parallel and perpendicular linesUse it for: Gradients of parallel and perpendicular lines.
- Interactive toolStarterMaths Is Fun: Point-slope formUse it for: Point-gradient form of a line explained.
- Interactive toolStarterMathsisfun: Distance between 2 pointsUse it for: Distance via Pythagoras with interactive graph.
- Interactive toolStarterMathsisfun: Equation of a Straight LineUse it for: Adjust m and b to see the line change.
- Interactive toolStarterMathsisfun: Gradient (slope)Use it for: Rise over run with interactive line.
- PhET Function BuilderUse it for: Input-output machines for writing rules and functions.
- PhET Graphing LinesUse it for: Explore gradient and intercept; the Line Game screen gives quick practice.
- SimulationDrillPhET Graphing Slope-InterceptUse it for: Graph y = mx + c by dragging slope and intercept.
- Corbettmaths practice questions: CoordinatesUse it for: Free printable graded practice questions (with answers) on coordinates for drill or a quick check.
- Corbettmaths practice questions: Coordinates: distance between 2 pointsUse it for: Free printable graded practice questions (with answers) on coordinates: distance between 2 points for drill or a quick check.
- Corbettmaths practice questions: Graphs: real life linear graphsUse it for: Free printable graded practice questions (with answers) on graphs: real life linear graphs for drill or a quick check.
- Corbettmaths practice questions: Linear graphs: drawing (xy table)Use it for: Free printable graded practice questions (with answers) on linear graphs: drawing (xy table) for drill or a quick check.
- Corbettmaths practice questions: Linear graphs: gradient of a lineUse it for: Free printable graded practice questions (with answers) on linear graphs: gradient of a line for drill or a quick check.
- Corbettmaths practice questions: Linear graphs: parallel linesUse it for: Free printable graded practice questions (with answers) on linear graphs: parallel lines for drill or a quick check.
- Corbettmaths practice questions: Linear graphs: perpendicular linesUse it for: Free printable graded practice questions (with answers) on linear graphs: perpendicular lines for drill or a quick check.
- Corbettmaths practice questions: Linear graphs: y=mx+cUse it for: Free printable graded practice questions (with answers) on linear graphs: y=mx+c for drill or a quick check.
- Corbettmaths practice questions: ReflectionsUse it for: Free printable graded practice questions (with answers) on reflections for drill or a quick check.
- Corbettmaths practice questions: RotationsUse it for: Free printable graded practice questions (with answers) on rotations for drill or a quick check.
- Corbettmaths practice questions: Symmetry: lineUse it for: Free printable graded practice questions (with answers) on symmetry: line for drill or a quick check.
- Corbettmaths practice questions: Symmetry: rotationalUse it for: Free printable graded practice questions (with answers) on symmetry: rotational for drill or a quick check.
- Corbettmaths practice questions: Translations: vectorUse it for: Free printable graded practice questions (with answers) on translations: vector 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.
- WorksheetDrillKuta free worksheet: Distance formulaUse it for: Printable skills-practice sheet with answer key on distance formula; good for drill or homework.
- WorksheetDrillKuta free worksheet: Finding gradient from two pointsUse it for: Printable skills-practice sheet with answer key on finding gradient from two points; good for drill or homework.
- WorksheetDrillKuta free worksheet: Finding slope (gradient)Use it for: Printable skills-practice sheet with answer key on finding slope (gradient); good for drill or homework.
- WorksheetDrillKuta free worksheet: Graphing lines in slope-intercept formUse it for: Printable skills-practice sheet with answer key on graphing lines in slope-intercept form; good for drill or homework.
- WorksheetDrillKuta free worksheet: Graphing lines in standard (general) formUse it for: Printable skills-practice sheet with answer key on graphing lines in standard (general) form; good for drill or homework.
- WorksheetDrillKuta free worksheet: Midpoint formulaUse it for: Printable skills-practice sheet with answer key on midpoint formula; good for drill or homework.
- WorksheetDrillKuta free worksheet: ReflectionsUse it for: Printable skills-practice sheet with answer key on reflections; good for drill or homework.
- WorksheetDrillKuta free worksheet: Reflections of shapesUse it for: Printable skills-practice sheet with answer key on reflections of shapes; good for drill or homework.
- WorksheetDrillKuta free worksheet: RotationsUse it for: Printable skills-practice sheet with answer key on rotations; good for drill or homework.
- WorksheetDrillKuta free worksheet: Rotations of shapesUse it for: Printable skills-practice sheet with answer key on rotations of shapes; good for drill or homework.
- WorksheetDrillKuta free worksheet: Systems of equations by graphingUse it for: Printable skills-practice sheet with answer key on systems of equations by graphing; good for drill or homework.
- WorksheetDrillKuta free worksheet: TranslationsUse it for: Printable skills-practice sheet with answer key on translations; good for drill or homework.
- WorksheetDrillKuta free worksheet: Translations of shapesUse it for: Printable skills-practice sheet with answer key on translations of shapes; good for drill or homework.
- WorksheetDrillKuta free worksheet: Writing linear equationsUse it for: Printable skills-practice sheet with answer key on writing linear equations; good for drill or homework.
- NRICH: Charlie's Delightful MachineUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Cubes Within CubesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Eight Hidden SquaresUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Parallel LinesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Perpendicular LinesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Surprising TransformationsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Translating LinesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- VideoStarterCorbettmaths video: Coordinates: distance between 2 pointsUse it for: Short worked-example video on coordinates: distance between 2 points to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Coordinates: midpoint of a lineUse it for: Short worked-example video on coordinates: midpoint of a line to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Graphs: real life linear graphsUse it for: Short worked-example video on graphs: real life linear graphs to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: drawing (xy table)Use it for: Short worked-example video on linear graphs: drawing (xy table) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: drawing using y=mx+cUse it for: Short worked-example video on linear graphs: drawing using y=mx+c to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: equation through 2 pointsUse it for: Short worked-example video on linear graphs: equation through 2 points to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: find equation of a lineUse it for: Short worked-example video on linear graphs: find equation of a line to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: gradient between pointsUse it for: Short worked-example video on linear graphs: gradient between points to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: gradient of a lineUse it for: Short worked-example video on linear graphs: gradient of a line to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: parallel linesUse it for: Short worked-example video on linear graphs: parallel lines to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: perpendicular linesUse it for: Short worked-example video on linear graphs: perpendicular lines to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: x=a graphsUse it for: Short worked-example video on linear graphs: x=a graphs to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: y=a graphsUse it for: Short worked-example video on linear graphs: y=a graphs to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: y=mx+cUse it for: Short worked-example video on linear graphs: y=mx+c to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: ReflectionsUse it for: Short worked-example video on reflections to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: RotationsUse it for: Short worked-example video on rotations to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Simultaneous equations (graphical)Use it for: Short worked-example video on simultaneous equations (graphical) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Symmetry: lineUse it for: Short worked-example video on symmetry: line to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Symmetry: rotationalUse it for: Short worked-example video on symmetry: rotational to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Translations: vectorUse it for: Short worked-example video on translations: vector to model the method before practice or for flipped revision.
- VideoStarterEddie Woo (WooTube): Basic Linear Relationships playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on linear relationships; play a clip to model a method or for revision.
- Unit/PlanningStage 5 Unit 13 – bivariate relationships (sample unit of learning)
- Unit/PlanningStage 5 Unit 2 – working with triangles (sample unit of learning)
- Unit/PlanningStage 5 Unit 6 – constant rates of change (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.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
- SimulationDrillPhET Graphing Slope-InterceptUse it for: Graph y = mx + c by dragging slope and intercept.
- Corbettmaths practice questions: Graphs: real life linear graphsUse it for: Free printable graded practice questions (with answers) on graphs: real life linear graphs for drill or a quick check.
- Corbettmaths practice questions: Linear graphs: drawing (xy table)Use it for: Free printable graded practice questions (with answers) on linear graphs: drawing (xy table) for drill or a quick check.
- Corbettmaths practice questions: Linear graphs: y=mx+cUse it for: Free printable graded practice questions (with answers) on linear graphs: y=mx+c 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: Graphs: real life linear graphsUse it for: Short worked-example video on graphs: real life linear graphs to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: drawing using y=mx+cUse it for: Short worked-example video on linear graphs: drawing using y=mx+c to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: find equation of a lineUse it for: Short worked-example video on linear graphs: find equation of a line to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: y=mx+cUse it for: Short worked-example video on linear graphs: y=mx+c to model the method before practice or for flipped revision.
- Unit/PlanningMathematics Standard (2024) Year 11 Unit 2 – show me the money (19 lessons)
- Unit/PlanningMathematics Standard (2024) Year 11 Unit 3 – making things (13 lessons)
Advanced Year 11 (Year 11)
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
Standard Year 12 (Year 12)
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
Extension 1 (Year 11, 12)
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
Advanced Year 12 (Year 12)
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
Extension 2 (Year 12)
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.