Unit Circle Practice
Authored by Ashley Sexton
Mathematics
10th - 12th Grade
CCSS covered
Used 466+ times
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About
This quiz focuses on the unit circle and trigonometric functions, specifically covering sine and cosine values at key angles in both degree and radian measures. The content is appropriate for grades 10-12, aligning with Algebra 2, Trigonometry, or Pre-Calculus coursework. Students need to understand the fundamental concept of the unit circle as a circle with radius 1 centered at the origin, where each point (x,y) represents (cos θ, sin θ) for angle θ. They must memorize or derive exact trigonometric values for special angles (30°, 45°, 60°, 90°, and their multiples), convert between degree and radian measure, and understand the signs of trigonometric functions in each quadrant. The questions assess students' ability to locate points on the unit circle, determine exact values using reference angles, and apply quadrant analysis to determine where trigonometric functions are positive or negative. Created by Ashley Sexton, a Mathematics teacher in the US who teaches grades 10-12. This comprehensive unit circle practice quiz serves as an excellent tool for formative assessment, homework assignments, or review sessions before major tests. Teachers can use this quiz as a warm-up activity to activate prior knowledge or as practice to reinforce memorization of key trigonometric values. The variety of question formats—from basic function evaluations to coordinate identification and quadrant analysis—makes it versatile for different instructional needs. This assessment aligns with Common Core standards HSF.TF.A.2 (explaining how the unit circle determines trigonometric values) and HSF.TF.A.3 (using special triangles to determine geometrically the values of sine and cosine), as well as supporting the development of mathematical practices through pattern recognition and strategic problem-solving with the unit circle.
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Based on your unit circle cos(0o)=
Tags
CCSS.HSF.TF.A.2
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Based on your unit circle sin(90o)=
Tags
CCSS.HSF.TF.A.2
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
sin(5π/3)=
Tags
CCSS.HSF.TF.A.2
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
sin(7π/4)
Tags
CCSS.HSF.TF.A.2
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
sin(3π/2)
Tags
CCSS.HSF.TF.A.2
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the value of sine at 210°?
1/2
-1/2
√3 / 2
-√3 / 2
Tags
CCSS.HSF.TF.A.2
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the value of cosine at 135°?
0
1/2
√2 /2
-√2 /2
Tags
CCSS.HSF.TF.A.2
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