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The Tangent Ratio worksheet

Suitable for Year groups: 9, 10, 11
GCSE Tier:
Foundation/Higher
Targeting grades: 4-5
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Prerequisite knowledge: Labelling sides in right angled triangles. Solving equations. Substitution.
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The Tangent Ratio worksheet description

The worksheet is thoughtfully structured to reinforce the tangent ratio through practice, offering problems that ensure a balance of conceptual understanding and procedural fluency.

In Section A, students get to grips with writing the value of tan θ as a fraction for four provided triangles.

Section B transitions to calculating angles using the tangent ratio.

Learners move on to calculating side lengths in Section C; here they will use the tangent ratio to determine the length of the opposite or adjacent side.

Section D challenges students with 4 problems involving finding unknown side lengths and angles in shapes. Here learners will have to find right-angled triangles within shapes such as a rectangle, trapezia, and an isosceles triangle.

It is a valuable resource for students aiming to enhance their trigonometry skills systematically.

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