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Learning Journey – Pythagoras’ Theorem and Trigonometry

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1 Learning Journey – Pythagoras’ Theorem and Trigonometry
I can label the hypotenuse of a right angle triangle. I can decide when to use trigonometry and Pythagoras’ Theorem. I can state the exact values of the sine, cosine and tangent of 0°, 30°, 45°, 60° and 90° angles. I can calculate the length of the hypotenuse of a right angle triangle when given the lengths of the two short sides. I can calculate the length of a short side of a right angle triangle when given the lengths of the hypotenuse and the other short side. I can leave my answers in surd form. I can use the sine, cosine and tangent ratios to calculate a missing length of a right angle triangle. I can use the sine, cosine and tangent ratios to calculate a missing angle of a right angle triangle. Given 3 sides of a triangle I can justify whether or not it is right-angled. I can use Pythagoras’ Theorem to calculate the height or missing length of an isosceles or equilateral triangle. I can use trigonometry to calculate the height or missing length and angle of an isosceles or equilateral triangle. I can use Pythagoras’ Theorem to calculate the difference between 2 coordinates. I can use Pythagoras’ Theorem to calculate missing lengths of a rectangle. I can solve multi-step problems involving trigonometry and Pythagoras’ Theorem. I can solve trigonometry problems using exact values. I can solve algebraic problems involving Pythagoras’ Theorem and trigonometry.

2 Learning Journey – Pythagoras’ Theorem and Trigonometry
I can label the hypotenuse of a right angle triangle. I can decide when to use trigonometry and Pythagoras’ Theorem. I can state the exact values of the sine, cosine and tangent of 0°, 30°, 45°, 60° and 90° angles. I can calculate the length of the hypotenuse of a right angle triangle when given the lengths of the two short sides. I can calculate the length of a short side of a right angle triangle when given the lengths of the hypotenuse and the other short side. I can leave my answers in surd form. I can use the sine, cosine and tangent ratios to calculate a missing length of a right angle triangle. I can use the sine, cosine and tangent ratios to calculate a missing angle of a right angle triangle. Given 3 sides of a triangle I can justify whether or not it is right-angled. I can use Pythagoras’ Theorem to calculate the height or missing length of an isosceles or equilateral triangle. I can use trigonometry to calculate the height or missing length and angle of an isosceles or equilateral triangle. I can use Pythagoras’ Theorem to calculate the difference between 2 coordinates. I can use Pythagoras’ Theorem to calculate missing lengths of a rectangle. I can solve multi-step problems involving trigonometry and Pythagoras’ Theorem. I can solve trigonometry problems using exact values. I can solve algebraic problems involving Pythagoras’ Theorem and trigonometry. 2 Every Q 5 3 10 1 Every Q 11 6 4 8 7 12 9

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