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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....
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Lesson Plan
EngageNY

Equations for Tangent Lines to Circles

For Teachers 9th - 12th Standards
Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through (p, 0).
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Lesson Plan
Virginia Department of Education

Arc Length and Area of a Sector

For Teachers 9th - 11th Standards
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
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Activity
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Curated OER

Inscribing a Hexagon in a Circle

For Teachers 9th - 11th Standards
This activity is a follow-on activity to inscribing a square in a circle. The overall problem is more complex. It deals with geometric constructions, properties of triangles, and regular hexagons. The final part of the activity finds the...
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Lesson Plan
EngageNY

Rectangles Inscribed in Circles

For Teachers 9th - 10th Standards
Putting a rectangular object into a circular one—didn't the astronauts on Apollo 13 have to do something like this? Learners first construct the center of a circle using perpendiculars. They then discover how to inscribe a rectangle in a...
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Lesson Plan
EngageNY

The Inscribed Angle Alternate – A Tangent Angle

For Teachers 9th - 12th Standards
You know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their newfound...
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Lesson Plan
EngageNY

Cyclic Quadrilaterals

For Teachers 9th - 12th Standards
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
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Assessment
Inside Mathematics

Circles in Triangles

For Teachers 9th - 12th Standards
Challenge the class with inscribed circles in triangles. The assessment task requests class members use their knowledge of circles and right triangles to prove two triangles are congruent. They go on to utilize their knowledge of...
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Lesson Plan
Curated OER

Building Bridges

For Teachers 7th - 9th
Students identify the different types of bridges. Using the internet, they research information on how they are built by completing a scavenger hunt. Locating a specific area, they determine which type of bridge would be appropriate and...
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Worksheet
Curated OER

The Merry Go Round Problem

For Students 9th
In this algebra worksheet, 9th graders analyze a concetric circle to determine the area a worker must paint in two different colors. They must decide from which angle he start painting because of the location of the merry go round. There...
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Lesson Plan
Curated OER

Jazz and Math: Improvisation Permutations

For Teachers 5th - 12th
Students explore the various rhythmic combinations in jazz and blues music. They watch a video segment, apply a mathematical formula to calculate the number of possible rhythmic combinations, and perform a combination of notes and...
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Lesson Plan
Curated OER

Jazz and Math: Improvisation Permutations

For Teachers 9th - 12th
Students observe that there are myriad combinations of rhythms to choose from when improvising jazz and blues music, and recognize that while the variations seem infinite, they are in fact finite. They notate a 12 bar blues progression...
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Lesson Plan
Texas Instruments

Getting Started with Cabri Jr.

For Teachers 9th - 12th Standards
Pupils construct geometric figures using Cabri Jr. in this constructing geometric figures using Cabri Jr. lesson. They familiarize themselves with Cabri Jr. and construct segments and triangles. Your learners will use various tools to...
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Worksheet
Curated OER

Chandra Studies and Expanding Supernova Shell

For Students 7th - 9th
In this supernova instructional activity, students read about the expanding supernova shell that was discovered by the Chandra X-ray Observatory. Students solve two problems including finding the scale of the given images and determining...
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Worksheet
Curated OER

Inscribed and Central Angles in a Circle

For Students 8th - 10th
In this geometry worksheet, learners find the missing angle that is inscribed inside of a circle. They define vocabularies related to the circle. There are 17 questions.
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Worksheet
Curated OER

Arc and Angles Formed by Secants and Tangents

For Students 9th - 11th
In this calculus instructional activity, students solve problems by finding the line of tangency and measure of the arcs and angles form by a secant line. There are 9 questions.
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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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Lesson Plan
Curated OER

Parabolas

For Teachers 10th - 11th
In this algebra worksheet, students solve parabolas using the standard and vertex forms. They find the vertex and asymptote and graph the parabola. There are 64 problems.
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Lesson Plan
Curated OER

Creating a Cyclic Quadrilateral

For Teachers 9th - 12th Standards
Identify and make conjecture about properties of cyclic quadrilaterals. Students use the TI Navigator to create different shapes and draw conclusions.
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Lesson Plan
Curated OER

Measuring the Earth

For Teachers 10th - 11th
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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Worksheet
Curated OER

Extra Problems - Week 13 (Functions)

For Students 12th - Higher Ed
In this function instructional activity, students complete a variety of problems. They explore logarithms, find the y-intercept, identify the y-intercept, and complete distance problems. This seven-page instructional activity contains 30...
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Lesson Plan
Curated OER

Relationships Among Arc and Angle Measures in Circles

For Teachers 9th - 12th
Students 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...
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Lesson Plan
Curated OER

DEAD MAN'S CURVE

For Teachers 9th
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...
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Lesson Plan
Curated OER

Circle, Secants

For Teachers 9th - 11th
Students identify the secant segment of a circle. In this geometry instructional activity, students investigate secant lines formed outside the circle. They use Cabri software to create drawings and explore circles and secants.

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