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Extrema on an Interval
Learners explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
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Segments Formed by Intersectiong Chords, Secants, and Tangents
Learners investigate the properties of segments formed which chords, secants, and tangents, intersect. The dynamic nature of Cabri Jr. allows students to form and verify conjectures regarding segment relationships.
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Segment Formulas Multiple Choice
In this geometry instructional activity, 10th graders use the theorems regarding circles and tangents to find the indicated missing segment length. The one page interactive instructional activity contains ten problems. Answers are...
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Circles
In this geometry worksheet, 10th graders apply the circle segment theorems to determine the indicated segment length. The one page worksheet contains twenty problems. Answers are not provided.
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Relationships Among Arc and Angle Measures in Circles
Pupils follow the directions on the attached worksheet to construct shapes using Geometer's Sketchpad. To start the lesson, it is suggested that the teacher guide the students through the initial problem. When constructions are completed...
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Intro to Trigonometry
After being introduced to the basic trigonometry functions, middle schoolers calculate the height of school landmarks. They experiment with different angles to find the correct height.
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Measuring the Earth
Students 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.
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Integrals with Even Powers of Secant and Tangent
Learners integrate integrals that involve even powers of tangents and secants. They work several problems that require the use of integration, and the identity tan^2x+1=sec^2x. Students use integration by parts for the first integral....
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Investigating the properties of a circle
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...