Pythagoras & trigonometry
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Stage 5: Trigonometry A · Stage 5: Trigonometry B · Stage 5: Trigonometry C (Path) · Stage 5: Trigonometry D (Path) · Mathematics Standard 11–12 – Year 12 – Standard 2: Trigonometry · Mathematics Extension 1 11–12 – Year 11: Further trigonometry
Stage 4 (Year 7, 8)
- 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 toolEnrichmentMathigon: Triangles and TrigonometryUse it for: Interactive lessons building to Pythagoras and trig ratios.
Stage 5 (Year 9, 10)
- 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: Sine and cosine rulesUse it for: Explore where the sine and cosine rules come from, then apply them.
- Interactive toolEnrichmentMathigon: Triangles and TrigonometryUse it for: Interactive lessons building to Pythagoras and trig ratios.
- Interactive toolStarterMathigon: Trigonometry (interactive course)Use it for: Introduce sine, cosine and tangent as constant ratios in similar right-angled triangles.
- Interactive toolStarterMaths Is Fun: Area of a triangle (½ab sin C)Use it for: Area rule for non-right triangles.
- Interactive toolStarterMaths Is Fun: Interactive unit circleUse it for: Drag a point round the unit circle to see sine, cosine and tangent values.
- Interactive toolStarterMaths Is Fun: Pythagoras in 3DUse it for: Clear worked explanation of Pythagoras in 3D with questions at the end.
- Interactive toolStarterMaths Is Fun: SOHCAHTOAUse it for: Trig ratios with an interactive triangle.
- Interactive toolStarterMaths Is Fun: The law of cosinesUse it for: Cosine rule with examples.
- Interactive toolStarterMaths Is Fun: The law of sinesUse it for: Sine rule with examples.
- Interactive toolStarterMathsisfun: Sine, cosine, tangentUse it for: Drag a triangle to see ratios stay constant.
- PhET Trig TourUse it for: Connect the unit circle to sin, cos and tan graphs.
- SimulationEnrichmentPhET Vector AdditionUse it for: Extension: resultant displacement links to bearings problems.
- Corbettmaths practice questions: Angles: bearingsUse it for: Free printable graded practice questions (with answers) on angles: bearings for drill or a quick check.
- Corbettmaths practice questions: Pythagoras: 3DUse it for: Free printable graded practice questions (with answers) on pythagoras: 3d for drill or a quick check.
- Corbettmaths practice questions: Trigonometry introductionUse it for: Free printable graded practice questions (with answers) on trigonometry introduction for drill or a quick check.
- Corbettmaths practice questions: Trigonometry: 3DUse it for: Free printable graded practice questions (with answers) on trigonometry: 3d for drill or a quick check.
- Corbettmaths practice questions: Trigonometry: Exact valuesUse it for: Free printable graded practice questions (with answers) on trigonometry: exact values for drill or a quick check.
- Corbettmaths practice questions: Trigonometry: Sine graphUse it for: Free printable graded practice questions (with answers) on trigonometry: sine graph for drill or a quick check.
- Corbettmaths practice questions: Trigonometry: sine rule (sides)Use it for: Free printable graded practice questions (with answers) on trigonometry: sine rule (sides) for drill or a quick check.
- WorksheetDrillKuta free worksheet: Finding trig ratiosUse it for: Printable skills-practice sheet with answer key on finding trig ratios; good for drill or homework.
- WorksheetDrillKuta free worksheet: Inverse trig ratiosUse it for: Printable skills-practice sheet with answer key on inverse trig ratios; good for drill or homework.
- WorksheetDrillKuta free worksheet: Solving right trianglesUse it for: Printable skills-practice sheet with answer key on solving right triangles; good for drill or homework.
- WorksheetDrillKuta free worksheet: Special right triangles (exact values)Use it for: Printable skills-practice sheet with answer key on special right triangles (exact values); good for drill or homework.
- WorksheetDrillKuta free worksheet: Trig ratiosUse it for: Printable skills-practice sheet with answer key on trig ratios; good for drill or homework.
- WorksheetDrillKuta free worksheet: Trigonometry and areaUse it for: Printable skills-practice sheet with answer key on trigonometry and area; good for drill or homework.
- WorksheetDrillKuta free worksheet: Trigonometry to find anglesUse it for: Printable skills-practice sheet with answer key on trigonometry to find angles; good for drill or homework.
- WorksheetDrillKuta free worksheet: Trigonometry to find side lengthsUse it for: Printable skills-practice sheet with answer key on trigonometry to find side lengths; good for drill or homework.
- WorksheetDrillTransum: TrigonometryUse it for: Levelled right-angled trig practice.
- NRICH: Round and Round and RoundUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Same HeightUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Sine ProblemUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Trig RepsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- VideoStarterCorbettmaths video: Angles: back bearingsUse it for: Short worked-example video on angles: back bearings to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Angles: bearingsUse it for: Short worked-example video on angles: bearings to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Pythagoras: 3DUse it for: Short worked-example video on pythagoras: 3d to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry introductionUse it for: Short worked-example video on trigonometry introduction to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry missing anglesUse it for: Short worked-example video on trigonometry missing angles to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry missing sidesUse it for: Short worked-example video on trigonometry missing sides to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: 3DUse it for: Short worked-example video on trigonometry: 3d to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: Cosine graphUse it for: Short worked-example video on trigonometry: cosine graph to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: Exact valuesUse it for: Short worked-example video on trigonometry: exact values to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: Sine graphUse it for: Short worked-example video on trigonometry: sine graph to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: Tangent graphUse it for: Short worked-example video on trigonometry: tangent graph to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: area of a triangleUse it for: Short worked-example video on trigonometry: area of a triangle to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: cosine rule (angles)Use it for: Short worked-example video on trigonometry: cosine rule (angles) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: cosine rule (sides)Use it for: Short worked-example video on trigonometry: cosine rule (sides) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: sine rule (ambiguous case)Use it for: Short worked-example video on trigonometry: sine rule (ambiguous case) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: sine rule (angles)Use it for: Short worked-example video on trigonometry: sine rule (angles) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: sine rule (sides)Use it for: Short worked-example video on trigonometry: sine rule (sides) to model the method before practice or for flipped revision.
- Unit/PlanningStage 5 Unit 2 – working with triangles (sample unit of learning)
- Unit/PlanningStage 5 Unit 9 – surveying (sample unit of learning)
- Unit/PlanningStage 5 Year 10 – the unit circle 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.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
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.