Activity
Varsity Tutors

Varsity Tutors: Hotmath: Graphing Calculator Practice Problems: Geometry

For Students 9th - 10th Standards
Practice using your graphing calculator for geometry problems, including the use of the Pythagorean Theorem and the distance formula. If you get stumped or if you would like to check your work, then select the View Solution button, which...
Lesson Plan
PBS

Pbs Learning Media: Formulas: Targeted Math Instruction

For Teachers 9th - 10th Standards
At the end of this lesson plan about formulas, students will be able to identify and apply the correct formula for a given situation, solve for any unknown component of the formulas for perimeter, circumference, and area of regular and...
Unit Plan
Khan Academy

Khan Academy: Inscribed Angle Theorem Proof

For Students 9th - 10th Standards
Proving that an inscribed angle is half of a central angle that subtends the same arc.
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 4.8 Pythagorean Identities

For Students 9th - 10th Standards
This section explores the Pythagorean Identity and how it applies to right triangles set inside unit circles, in terms of sine, cosine, and tangent functions.
Unit Plan
Cut the Knot

Cut the Knot!: Polygons: Formality and Intuition

For Students 9th - 10th
This is a very interesting site about polygons. The site begins by distinguishing between shapes whose sides intersect and polygons whose sides do not overlap. After this short introduction, you will find information regarding area and...
Handout
Wolfram Research

Wolfram Math World: Triangles

For Students 9th - 10th
This site provides detailed overviews of many of the concepts and theorems associated with triangles. Content focuses on general triangles, cevians, triangle centers, triangle circles, and triangle lines.
Handout
CK-12 Foundation

Ck 12: Geometry: Arcs and Angles Study Guide

For Students 9th - 10th Standards
This study guide on arcs and angles covers key vocabulary, arc measurement in degrees and radians, congruent arcs, bisecting arcs, and the angles on, inside, and outside a circle. Also covers formulas and theorems. It is available for...
Handout
Wolfram Research

Wolfram Math World: Heron's Formula

For Students 9th - 10th
This site provides a detailed overview of Heron's Formula. Content includes a definition, example, and formula.
Handout
Other

Platonic Realms: Conics

For Students 9th - 10th Standards
This resource provides in depth information on the conic sections. Click on the underlined words for definitions and diagrams.
Activity
Texas Instruments

Texas Instruments: Angles Formed by Intersecting Chords, Secants, and Tangents

For Teachers 9th - 10th Standards
In this activity, students will investigate properties of angles and arcs formed when chords, secants, and tangents intersect and intercept arcs in a circle. They discover several important theorems concerning circles and arc sizes. They...
Handout
University of Georgia

University of Georgia: Inter Math: Triangle Inequality

For Students 9th - 10th
This site has a description of the triangle inequality theorem along with a visual representation, and animation explaining the triangle inequality rule with the radii of circles at the segment endpoints. Links to related terms, more...
Handout
Geometry Help

Geometry Help: Chords

For Students 9th - 10th Standards
Explains the basic concept of chords with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Tangent Lines

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This concept teaches students about tangent lines and how to apply theorems related to tangents of circles.
Unit Plan
TED Talks

Ted: Ted Ed: Why Are Manhole Covers Round?

For Students 9th - 10th
Why are most manhole covers round? Sure it makes them easy to roll, and slide into place in any alignment. But there's another, more compelling reason, involving a peculiar geometric property of circles and other shapes. Marc Chamberland...
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Segments From Chords

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Looks at how to apply the Intersecting Chords Theorem.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Classifying Triangles

For Teachers 9th - 10th Standards
The goal of this task is to help students synthesize their knowledge of triangles where only two of the vertices have been given. They will need to know that a triangle inscribed in a circle, with a diameter of the circle as one side, is...
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Segments From Chords

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to apply the Intersecting Chords Theorem to solve for missing segments from chords.
Interactive
Walter Fendt

Walter Fendt: Thales' Circle

For Students 9th - 10th Standards
A short interactive activity to prove that a triangle inscribed in a semicircle is right-angled.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Special Triangles 1

For Teachers 9th - 10th Standards
Using known facts about the unit circle and isosceles triangles together with the Pythagorean Theorem, students can derive the sine and cosine of special angles. Aligns with HSF-TF.A.3.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Special Triangles 2

For Teachers 9th - 10th Standards
Using known facts about the unit circle and isosceles triangles together with the Pythagorean Theorem, students can derive the sine and cosine of special angles. Aligns with HSF-TF.A.3.
Activity
Texas Instruments

Texas Instruments: Real Numbers

For Teachers 9th - 10th Standards
Students learn to identify real numbers as rational numbers and irrational numbers. They review rational numbers as repeating decimals, and irrational numbers as non-repeating decimals. They also review commutative, associative,...
Interactive
Mangahigh

Mangahigh: Pyramid Panic: Basic Shapes to Advanced Geometry

For Students 9th - 10th Standards
Guide a mummy safely through the burial chambers of a pyramid as you solve length and area problems in basic to advanced geometry. There are four game zones that deal with circles and triangles, quadrilaterals, the Pythagorean Theorem,...
Handout
Other

Dans Math: Lessons: Trigonometry

For Students 9th - 10th
College professor Dan Bach reviews basic trig concepts, including trig functions, right triangles, circles, radians, and polar coordinates. Site includes animated graphs and detailed examples.
Handout
Math Open Reference

Math Open Reference: Diameter

For Students 9th - 10th Standards
A complete reference guide to diameters. It provides definitions, examples, and interactive activities that enhance further explanation. Includes links to related topics.

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