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Illustrative Mathematics
Satellite
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...
Curated OER
Circles
Tenth graders explore and define the radius and diameter of a circle. In this geometry instructional activity, 10th graders calculate the circumference and area of a circle using real world objects and shapes. They discuss chords...
Curated OER
Slopes and Slope Intercepts
Students identify the slope of an equation using various methods. In this algebra lesson plan, students graph linear equations and calculate the slopes using the x and y intercept to solve the equations and graph the lines. They use the...
Curated OER
Circles
In this geometry instructional activity, students solve problems by finding the diameter, radius and chord of a circle. They also solve for the area of the circle. There are 10 questions with an answer key.
Curated OER
Unit Circle Lesson Plan
Students identify different locations on a unit circle. In this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them...
Curated OER
Defining the Circular Functions
In this calculus worksheet, students solve values involving trigs and the unit circle. They identify graphs of sine, cosine and tangents. They solve for angles using the unit circle and the calculator.
Alabama Learning Exchange
Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine
Young scholars explore the concept of sine and cosine. In this sine and cosine lesson, students work in groups to graph sine and cosine functions. Young scholars examine how coefficients in various parts of each parent...
Curated OER
Circle Proofs
In this circle proofs worksheet, 10th graders complete 4 different problems that include circle proofs. They respond to each of the questions that deal with circle proofs. Then, students read the given information and use the circle...
Curated OER
Circle Terminology
In this geometry activity, students identify radii, diameters, chords, tangents, secants and other terminology associated with circles. The one page activity contains eighteen problems. Answers are not provided.
PHET
Trig Tour
Unit circles and trigonometric graphs go hand in hand. Pupils see how traversing the unit circle allows for the creation of graphs for trigonometric functions. They also see trigonometric ratios in terms of the ordered pairs of points on...
Curated OER
Worksheet 26 - Function
In this function worksheet, pupils identify the local maximum and minimum values and angle dimensions. This one-page worksheet contains six multi-step problems.
Curated OER
Measuring the Earth
Learners identify types of arcs and angles in a circle, find the measure of arcs and angles, and solve real world problems involving lengths of segments in circles, lengths, and areas.
Curated OER
Segment Formulas Multiple Choice
In this geometry learning exercise, 10th graders use the theorems regarding circles and tangents to find the indicated missing segment length. The one page interactive learning exercise contains ten problems. Answers are...
Curated OER
Geometry Regents Bimodal
In this geometry activity, students solve problems that are bimodal. They define properties of circles and triangles. There are 117 questions.
Curated OER
Power of a Point
Pupils solve problems by finding the radius or diameter. In this geometry lesson, students identify the tangent line of a circle and use properties of circles to find the radius. They relate circles to the real world.
Curated OER
Math: Tangents
Pupils discover how to recognize tangents and how to use their properties. They investigate and use the properties of angles, arcs, chords, tangents, and secants. Students use two tangents and the properties of similar triangles to...
Center for Innovation in Mathematics Teaching
Trigonometry
This unit covers the basic trigonometry including understanding radians, how to convert between radians and degrees, the area of a circle subtended by an angle, basic properties and graphs of sine, cosine, tangent, and solving...
Curated OER
Applications of Derivatives: Concavity and Optimization
In this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
Curated OER
Unit Circle Triangle
Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
Curated OER
Arc Length Lesson
Students find the length of the arc of a circle. For this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They...
Curated OER
Angles in Standard Positions
Young scholars identify positive and negative angles using the Unit Circle. In this pre-calculus instructional activity, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants...
Curated OER
Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
University of North Texas
Math Exam 1 Review
Perfect as a review guide, this instructional activity provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets...
Curated OER
DEAD MAN'S CURVE
Ninth graders, after being given a unique scenario and a task sheet on Dead Man's Curve, calculate and explain the force needed to keep a car on a curve using a set of formulas and a geometric property of circles. They utilize and create...