Interactive
CK-12 Foundation

Reference Angles and Angles in the Unit Circle: Exploring Reference Angles

For Students 10th - 12th Standards
A steal of a deal — get four angles for the value of one. An interactive resource allows individuals to visualize all four angles that have the same reference angle. Pupils answer questions by using the interactive to create the...
Instructional Video25:49
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Flipped Math

Unit Circle and Radians

For Students 9th - 12th Standards
Measure angles is easy as pi. Pupils review special right triangles to find exact values for trigonometric functions. Scholars learn about radians and how they connect to measurements in degrees. They find exact and approximate values of...
Handout
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Curated OER

Math Handbook: Trigonometry

For Students 9th - 12th Standards
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and...
Worksheet
Curated OER

Tangent Properties

For Students 10th
For this geometry worksheet, 10th graders solve problems based on the properties of lines tangent to one or more circles. Constructions are included. The one page worksheet contains eight questions. Answers are...
Lesson Plan
Curated OER

Tangents to a Circle

For Teachers 9th - 10th
Students construct tangent lines. In this geometry activity, students identify the point of tangency, secant and tangent lines. They graph the lines on the Ti and make observations.
Lesson Plan
Curated OER

Chors, Secants, Tangents

For Teachers 9th - 12th
Students identify the relationship between chords, secants and circles. In this geometry lesson, students calculate the length of the chords. They sketch the secant lines on a circle.
Lesson Plan
Curated OER

Secant Line Approximation of the Tangent Line

For Teachers 9th - 11th
Pupils perform operation with secant and tangent lines. In this calculus lesson, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a circle, using Cabri.
Lesson Plan
Curated OER

Slope and Tangent

For Teachers 9th - 11th
Young scholars differentiate between the slope and the tangent of the horizontal. In this precalculus lesson, students examine slopes created by tangent lines. They observe the angle formed using properties of the unit circle.
Lesson Plan
Curated OER

Circle Conjectures

For Teachers 9th - 11th Standards
Students are given diagrams and are asked to make a conjecture. In this geometry lesson, students make conjectures of circles. They complete a lab activity to reinforce making conjectures. The first activity addresses a common core...
Lesson Plan
Curated OER

Circular Motion

For Teachers 5th - 8th
Students investigate circular motion in two different activities. In the first, students observe the path of a rolling marble on a paper plate. In the second, students play a game of catch using a tennis ball inside a plastic bag. ...
Lesson Plan
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1
Curated OER

The Unit Circle

For Teachers 9th - 11th Standards
Students solve problems using the unit circle. In this precalculus lesson plan, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
Worksheet
Curated OER

Triangle and Circle Trigonometry

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students apply advanced triangle and circle trigonometry to solve application problems. The three page worksheet contains sixteen problems. Answers are not included.
Worksheet
Curated OER

Geometry Review

For Students 10th
In this geometry review worksheet, 10th graders solve and complete 33 different problems that include identifying various geometric figures and parts of a circle. First, they find the radius of each circle given its diameter. Then,...
Worksheet
Curated OER

Analysis Review Sheet

For Students 10th - 12th
In this analysis review worksheet, learners solve 3 complex inequalities, graph 2 absolute value inequalities, and write the equations for altitudes and tangent lines for 4 problems.
Lesson Plan
Curated OER

Investigating the properties of a circle

For Teachers 7th - 10th
Students use wax paper to look at different properties of circles such as chords, tangent lines, inscribed angles, and inscribed angles in a semi-circle, as well as finding the center of the circle, and use GSP to investigate cyclic...
Lesson Plan
Curated OER

Geometry of Circles - Week 7 (Area & Circumference)

For Teachers 12th - Higher Ed
In this circle worksheet, students solve problems involving the circumference, area and arc length in a circle. They explore the union of circles and semicircles, as well as the line segments tangent to the circle. This two-page...
Lesson Plan
Curated OER

Geometry of Circles: Week 7

For Teachers 10th - Higher Ed
In this circle worksheet, pupils determine the number of degrees in a minor arc, find the area of a circle, find the area of a shaded region. This two-page worksheet contains six problems.
Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Lesson Plan
EngageNY

Secant Angle Theorem, Exterior Case

For Teachers 9th - 12th Standards
It doesn't matter whether secant lines intersect inside or outside the circle, right? Scholars extend concepts from the previous lesson to investigate angles created by secant lines that intersect at a point exterior to the circle....
Interactive
Curated OER

Ten Multiple-Choice Circle Problems

For Students 9th - 10th
In this circle worksheet, students solve ten multiple-choice questions concerned with the area, radius, diameter, and circumference of a circle.  The solutions are provided by clicking on the "show answers" button on the bottom of...
Assessment
EngageNY

Algebra II Module 2: Mid-Module Assessment

For Students 10th - 12th Standards
Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.
Assessment
EngageNY

Mid-Module Assessment Task: Pre-Calculus Module 4

For Students 11th - 12th Standards
Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...
Assessment
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1
Balanced Assessment

Bicycle Chain II

For Students 9th - 12th Standards
Apply geometric concepts to a design problem. Individuals examine the structural setup of the chain on a bicycle and use the measurements of the circles to determine the length of the chain. 
Worksheet
Curated OER

Tangent Properties

For Students 10th - 12th
In this pre-calculus worksheet, students solve for angles formed by a tangent line and a circle. There are 6 different worksheets containing 8-10 problems per sheet.

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