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# Circles (Geometry - Unit 12)

Teacher Mine
212 Followers
8th - 11th, Homeschool
Subjects
Standards
Resource Type
Formats Included
• Zip
Pages
75 pages
Teacher Mine
212 Followers

#### Also included in

1. Cover ALL THE ANGLES with this Geometry Full Curriculum Bundle!This is a bundle that currently contains presentation notes, glossaries, practice worksheets, section quizzes, unit tests, study guides, weekly reviews, quarter tests, bellringers, and all items do have keys included. Updates may be adde
\$249.00
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### Description

Get your head aROUND circles with a unit that has all the important info you need!

This is a unit bundle that currently contains presentation notes, student follow-along notes handouts, glossary, glossary cards, 7 practice worksheets, 6 section quizzes, a study guide, and a unit test (multiple-choice & short-answer versions). Other items will be added over time, and the price will be modified as necessary during this process.

I am and have been a high school Geometry teacher for 20+ years, and all of the content has been used in my classroom.

The notes introduce each concept along with a few examples. They are in-depth enough to cover a topic well, and, at the same time, are brief enough to allow you to add related topics/examples of your choice without being overwhelming or stifling your own creativity/flexibility.

The topics included are:

1) Circle Basics - including identifying parts of a circle, applying the relationships between angles and arcs, and converting between radians and degrees

2) Distance & Area in a Circle - including the circumference of a circle, the area of a circle, arc length, sector area, and segment area

3) Angles Associated with Circles - including angles formed by lines intersecting inside/outside of a circle, angles formed by a tangent & radius, opposite angles of an inscribed quadrilateral, angles formed by a tangent and a chord, and an angle inscribed in a semicircle

4) Segments Associated with Circles - including the bisection of a chord/arc when the diameter is perpendicular to the chord, the congruence of two tangents intersecting outside a circle, chords equidistant from the center, and segment relationships for intersections inside or outside of a circle

5) Equations & Graphs of Circles - including multiple combinations of given information to relate the radius/diameter, center, equation, and graph of a circle

6) Vocabulary - 45 terms/theorems/postulates

The preview contains a sampling of the notes, assessments, and practice.

Related Units

Geometry Basics: Introducing Points, Lines, Planes, & Angles (Geometry - Unit 1)

Reasoning & Proof: Using Logic (Geometry - Unit 2)

Parallel & Perpendicular Lines (Geometry - Unit 3)

2D & 3D Shapes: Perimeter, Area, & Volume (Geometry - Unit 4)

Congruence (Geometry - Unit 5)

Transformations (Geometry - Unit 6)

Relationships in Triangles (Geometry - Unit 7)

Constructions (Geometry - Unit 8)

Similarity (Geometry - Unit 10)

Right Triangles & Trigonometry (Geometry - Unit 11)

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Total Pages
75 pages
Included
Teaching Duration
3 Weeks
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### Standards

to see state-specific standards (only available in the US).
Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
Identify and describe relationships among inscribed angles, radii, and chords.
Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.