Interleaved Practice for Right-Angled Triangles
Engage in interleaved practice with Pythagoras, trigonometry, and angles to revise right-angled triangles. Make informed decisions on which mathematical concepts to apply based on the given figures. Solutions provided for all exercises.
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Presentation Transcript
Pythagoras, Trigonometry or Angles? Interleaved Practice These resources have been used as AO1 practice for revision of right-angled triangles, but primarily as interleaved practice with simple figures leading students to making decisions about whether or not we need Pythagoras, trigonometry or angle sums to 180o Prior knowledge needed: - Sum of interior angles in a triangle is 180o - Using Pythagoras theorem to find hypotenuse and catheti - Using the three main trigonometric ratios to calculate side lengths and angles - Basic notation conventions that demonstrate equal length sides Sheet 1: Mixture of different right-angled triangles with Sheet 2: Some of the triangles are the same but asking about a different aspect of it to alter the maths applied to find the answer [All solutions have been provided to 2 decimal places]
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u s 10mm 15m z t 36m 66o 6ft 52o 6mm 18o 9ft y 11cm x a 7mm 75o v w 7ft 30m 25o b d 20m 22o 8cm 9m 12cm 12m e 10cm 40o 58o g 10cm f 47o 2cm c
23.39m 6cm 70o 10m 8mm 10mm 8m 50o 2.5ft 6mm 15o 35o 2ft 24m 15ft 50o 40o 45o 14.14mm 75o 51.53o 40o 10mm 23.58o 12cm 15m 12cm 25m 5cm 6m 40.60o 13cm 2cm 7m
39m 36.87o 10mm 15m 68o 24o 36m 66o 6ft 52o 6mm 18o 9ft 11cm 57.13o 7mm 75o 7ft 30m 25o 9.33m 20m 22o 8cm 9m 12cm 12m 10cm 40o 58o 10cm 47o 2cm 53.13o 48.59o 6.82cm
