The Tangent Ratio WORKSHEET

Suitable for Grades: Geometry, IM 2
CCSS: HSG.SRT.C.6
CCSS Description: Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles

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 triangles within shapes such as rectangles, trapezoids, and an isosceles triangle.

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