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EngageNY

#### EngageNY Geometry Module 5: Circles With and Without Coordinates

A comprehensive 21-lesson math unit challenges high schoolers to wrap their heads around the geometry of circles. Building on a prior understanding of similarity and congruence, length and area, and the properties of geometric figures,...

Lesson Planet

#### Circles

Don't circle around the topic, but get right to the center with tons of practice regarding circles in geometry. The note-incorporated worksheet provides guided practice through many topics such as central angles, inscribed polygons and...

Lesson Planet

#### Graphic Art Contest

Creativity is endless when your mathematicians take a simple image and use transformations to create their own poster inspired by geometry. While certain rotations and reflections are required, learners will be able to create ten new...

Lesson Planet

#### Building a Recreation Center

It's all about location, location, location. Small groups work to find the best spot for a rec center to serve three different communities. Learners construct the inscribed and circumscribed circles of a triangle to find the best place....

Lesson Planet

#### Module 5: Circles A Geometric Perspective

Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...

Lesson Planet

#### Cyclic Quadrilateral – Proof

What do you call a quadrilateral in danger? A peril-lelogram! Scholars avoid danger by proving the opposite angles in a quadrilateral add up to 180 degrees. After viewing a brief video, they complete textbook exercises and a practice...

Lesson Planet

#### Angle in a Semi-Circle – Proof

Young mathematicians observe a geometric proof using a short video. They see each part of the diagram clearly labeled and the simple math written off to the side. The new knowledge helps them solve additional problems independently.

Lesson Planet

#### Circumscribed Polygon

Trigonometry teachers often go off on a tangent, and here's a activity that proves it! First, young mathematicians use a formula with tangent to prove a formula correct for area. Then, they draw conclusions about the area of a circle...

Lesson Planet

#### Module 1: Transformations and Symmetry

No need to change anything about the resource. The first of eight modules in the MVP Geometry unit focuses on transformations in the coordinate plane. It connects translations, rotations, and reflections to congruence, symmetry, and...

Lesson Planet

#### Suitcase Circle

Analyze patterns in a circular arrangement. After using a geometric construction to complete a circle, learners use proportional reasoning to make predictions. By determining the length of an arc built from suitcases, they estimate the...

Lesson Planet

#### Arcs in Circles: Lesson

Taking a major look at arcs is not minor. A segment of an extensive playlist on geometry introduces the concept of an arc in a circle. The resource demonstrates how to find the measure of an arc and defines special types of arcs.

Lesson Planet

#### Triangle Classification

Oh triangle, where are the points that will make your type? Given a line segment, pairs determine the location of a third point to create the six different types of triangles. The teacher provides a jumping off point by leading a...

Lesson Planet

#### Inscribed Circle Construction

Given a triangle, pupils construct a circle inscribed in the triangle. The scholars must determine what center of the circle to use and make the appropriate constructions to find it.

Lesson Planet

#### Inscribed Quadrilaterals

Take a supplementary look at quadrilaterals. Scholars develop a proof to show that opposite angles of a quadrilateral inscribed in a circle are supplementary. To finish, they investigate a different quadrilateral to see whether they can...

Lesson Planet

#### Circumscribed Circle Construction

Can you find a circle in a triangle? An assessment provides a triangle and asks the learners to construct a circumscribed circle. Pupils find the center of the circle and name the point of concurrency used as the center.

Lesson Planet

#### What's Your Angle?

Math can be a work of art! Reach your artistic pupils as they explore angle measures. A creative set of five problems of varying levels has young learners study interior and exterior angle measures of polygons. The introductory levels...

Lesson Planet

#### Oops! Glass Top

A short assessment asks participants to find the original radius required to replace a table top. The problem provides a hypothetical situation of having a segment of a broken glass table top. Pupils find the radius of the circular top...

Lesson Planet

#### Circles in Triangles

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...

Lesson Planet

#### Solving Problems with Circles and Triangles

After completing a task involving examining the ratio of areas of triangles and circles in a given figure, scholars examine sample responses to identify other strategies they could use to solve the problem.

EngageNY

#### Geometry Module 5: End-of-Module Assessment

The lessons are complete. Learners take an end-of-module assessment in the last installment of a 23-part module. Questions contain multiple parts, each assessing different aspects of the module.

EngageNY

#### Ptolemy's Theorem

Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.

EngageNY

#### Cyclic Quadrilaterals

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.

EngageNY

#### Geometry Module 5: Mid-Module Assessment

How can you formally assess understanding of circle concepts? Pupils take a mid-module assessment containing five questions, each with multiple parts.

EngageNY

#### Thales’ Theorem

Isn't paper pushing supposed to be boring? Learners attempt a paper-pushing puzzle to develop ideas about angles inscribed on a diameter of a circle. Learners then formalize Thales' theorem and use geometric properties to develop a proof...