Unit Circle Radians
Mathematics
11th - 12th Grade
CCSS covered
Used 431+ times
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About
This quiz focuses on the unit circle and radian measure, fundamental concepts in trigonometry typically taught at the high school level, specifically grades 11-12. Students need to demonstrate mastery of several interconnected skills: converting between radian and degree measures, identifying exact trigonometric values for special angles, locating points on the unit circle using coordinate pairs, determining which quadrant contains specific angle measures, and evaluating trigonometric functions including sine, cosine, secant, and cotangent. The problems require students to memorize and apply the exact values for common angles like π/4, π/3, π/6, and their multiples, while also understanding the relationship between angle measures and their corresponding coordinates on the unit circle. Students must recognize patterns in the unit circle, understand the signs of trigonometric functions in different quadrants, and work fluently with both radian and degree notation. This quiz was created by a classroom teacher who designed it for students studying trigonometry in grades 11-12. The assessment serves multiple instructional purposes, functioning effectively as a formative assessment tool to gauge student understanding of unit circle concepts, as homework practice to reinforce memorization of special angle values, or as a warm-up activity to activate prior knowledge before introducing more complex trigonometric applications. Teachers can use this quiz to identify specific areas where students struggle with exact values or coordinate identification, allowing for targeted remediation. The variety of question types—from basic function evaluation to coordinate identification and unit conversion—provides comprehensive coverage of essential unit circle skills that students need before advancing to more complex topics like trigonometric identities and equations. This assessment aligns with standards CCSS.MATH.CONTENT.HSF.TF.A.2 and CCSS.MATH.CONTENT.HSF.TF.A.3, which focus on explaining how the unit circle determines trigonometric values and using special triangles to find exact trigonometric values.
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20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
sin π/4
Tags
CCSS.HSF.TF.A.2
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
cos 5π/6
Tags
CCSS.HSF.TF.A.2
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
cos 4π/3
Tags
CCSS.HSF.TF.A.2
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
sin 2π/3
Tags
CCSS.HSF.TF.A.2
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the exact coordinates of 3π/4 on the unit circle?
Tags
CCSS.HSF.TF.A.2
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Tags
CCSS.HSF.TF.A.2
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Tags
CCSS.HSF.TF.A.2
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