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Applied Math: Angles

Angles in sports activity set for basketball, football and hockey, where students estimate angles with referent angles, test shots and throws, and use tangent to calculate a shooting angle.
Grades
Grades 7–10, Middle School, High School
File type
Microsoft Word

Updated Oct 26, 2026

Subject
Math, Trigonometry
Topic
applied math, angles in sports
Resource types
Worksheets & Printables, Worksheets

About this resource

What's inside this resource

With this resource your students will make real-life connections between angles and different sports like basketball, hockey, and football.

This resource could be used to practice after a lesson or as an assessment.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Estimate angles using referent angles
  • Calculate an angle from height and distance using the tangent ratio
  • Interpret a graph to choose the best throwing angle for distance

Teaching tips

  • Plan for gym or field time: the activities call for a basketball and hoop, a football, a hockey stick with a puck or ball and a net, and calculators with a tangent function.

Skills covered

  • Data recording — logging makes and misses for each tested angle
  • Spatial reasoning — using a rink diagram to judge scoring angles

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Resource details

Concepts & topics

Core concepts

  • Referent angles
  • Tangent ratio
  • Angle of elevation
  • Trajectory

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