## MA.912.GR.6.5: Apply transformations to prove that all circles are similar.

There are 45 resources.
Title Description Thumbnail Image Curriculum Topics

## VIDEO: Algebra Applications: Functions and Relations

VIDEO: Algebra Applications: Functions and Relations

In this episode of Algebra Applications, students explore the following scenario: Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars.

Applications of Functions and Relations, Conic Sections, Relations and Functions

## Closed Captioned Video: Algebra Applications: Functions and Relations

Closed Captioned Video: Algebra Applications: Functions and Relations

The relationship between slope and grade in cycling is explored. Go on a tour of Italy through the mountains of Tuscany and apply students' understanding of slope.

Applications of Functions and Relations, Conic Sections, Relations and Functions

## Closed Captioned Video: Algebra Applications: Functions and Relations, 1

Closed Captioned Video: Algebra Applications: Functions and Relations, Segment 1: Introduction

Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars. As the ship travels from Earth to Mars, parabolic, circular, and elliptical paths are explored.

Applications of Functions and Relations, Conic Sections, Relations and Functions

## Closed Captioned Video: Algebra Applications: Functions and Relations, 2

Closed Captioned Video: Algebra Applications: Functions and Relations, Segment 2: Parabolic Paths

The liftoff and pre-orbital path of the rock is described by a parabola. Students explore the properties of parabolas from the standpoint of the parametric equations that describe the horizontal and vertical directions of motion for the rocket.

Applications of Functions and Relations, Conic Sections, Relations and Functions

## Closed Captioned Video: Algebra Applications: Functions and Relations, 3

Closed Captioned Video: Algebra Applications: Functions and Relations, Segment 3: Circular Paths

The path of a rocket orbiting the Earth can be modeled with the equation of a circle. Students explore the quadratic relation and the parametric equations that can be used to model the path of a spacecraft orbiting Earth.

Applications of Functions and Relations, Conic Sections, Relations and Functions

## Closed Captioned Video: Algebra Applications: Functions and Relations, 4

Closed Captioned Video: Algebra Applications: Functions and Relations, Segment 4: Elliptical Paths

The planets orbiting the sun follow elliptical paths. In fact, the trajectory of a spacecraft traveling to Mars would also be elliptical. Students explore these various ellipses.

Applications of Functions and Relations, Conic Sections, Relations and Functions

## Closed Captioned Video: Circumcenter of a Triangle

Closed Captioned Video: Circumcenter of a Triangle

In this TI Nspire tutorial, the Geometry window is used to construct a triangle and its circumcenter. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .

Geometric Constructions with Triangles

## Closed Captioned Video: Circumscribing a Circle-Triangle

Closed Captioned Video: Circumscribing a Circle-Triangle

In this TI Nspire tutorial, the Geometry window is used to circumscribe a circle about a triangle. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .

Geometric Constructions with Triangles

## Closed Captioned Video: Geometry Applications: Circles

Closed Captioned Video: Geometry Applications: Circles

In this program we explore the properties of circles. We do this in the context of two real-world applications. In the first, we look at the design of the Roman Coliseum and explore how circular shapes could have been used to design this elliptical structure.

Applications of Circles, Definition of a Circle

## Closed Captioned Video: Geometry Applications: Circles, 1

Closed Captioned Video: Geometry Applications: Circles, Segment 1: The Basics of Circles.

We visit Chaco Canyon in New Mexico to explore the circular kivas and in the process discover how circular buildings have been used to study the heavens.

Applications of Circles, Definition of a Circle

## Closed Captioned Video: Geometry Applications: Circles, 2

Closed Captioned Video: Geometry Applications: Circles, Segment 2: Circles and Arcs.

The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes.

Applications of Circles, Definition of a Circle

## Closed Captioned Video: Geometry Applications: Circles, 3

Closed Captioned Video: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles

The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs.

Applications of Circles, Definition of a Circle

## Closed Captioned Video: Geometry Applications: Polygons, 2

Closed Captioned Video: Geometry Applications: Polygons, Segment 2: Properties of Polygons

In the ancient city of Marrakesh polygons are on display.

Definition of a Polygon, Applications of Polygons

## Geometry Applications Teachers Guide: Circles

Geometry Applications Teachers Guide: Circles

This is the Teacher's Guide that accompanies Geometry Applications: Circles.

Applications of Circles

## INSTRUCTIONAL RESOURCE: Math Examples 1

INSTRUCTIONAL RESOURCE: Math Examples--Circular Area and Circumference

This set of tutorials provides 23 examples of solving for the area and circumferences of circles and sections of circles.

Area and Circumference

## Instructional Resource: TI-Nspire Activity: Exploring the Ratio of Circumference to Radius as a Linear Function

In this TI-Nspire Activity, use the Geometry and Graphing Tools to explore the ratio of Circumference to Radius as a linear function.

Applications of Linear Functions, Applications of Circles, Geometric Constructions with Circles

## Interactive Crossword Puzzle--Circles

Interactive Crossword Puzzle--Circles

This interactive crossword puzzle tests knowledge of key terms on the topic of circles.

Definition of a Circle

## Math Clip Art--Geometry Concepts--Kite Shape 1

Math Clip Art--Geometry Concepts--Kite Shape 1

This is part of a collection of math clip art images about selected topics in Geometry. Also look at our Geometry Basics math clip art collection.

Definition of a Circle, Definition of a Polygon, Definition of a Triangle

## Math Clip Art--Geometry Concepts--Kite Shape 2

Math Clip Art--Geometry Concepts--Kite Shape 2

This is part of a collection of math clip art images about selected topics in Geometry. Also look at our Geometry Basics math clip art collection.

Definition of a Circle, Definition of a Polygon, Definition of a Triangle

## Math Clip Art--Geometry Concepts--Kite Shape 3

Math Clip Art--Geometry Concepts--Kite Shape 3

This is part of a collection of math clip art images about selected topics in Geometry. Also look at our Geometry Basics math clip art collection.

Definition of a Circle, Definition of a Polygon, Definition of a Triangle

## MATH EXAMPLES--Teacher's Guide: Circular Area and Circumference

MATH EXAMPLES--Teacher's Guide: Circular Area and Circumference

This set of tutorials provides 23 examples of solving for the area and circumferences of circles and sections of circles.

Area and Circumference

## Video Transcript: Algebra Applications: Functions and Relations

Video Transcript: Algebra Applications: Functions and Relations

This is the transcript for the video of same title. Video contents: In this episode of Algebra Applications, students explore the following scenario: Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars.

Applications of Functions and Relations, Relations and Functions

## Video Transcript: Algebra Applications: Functions and Relations, Segment 3: Circular Paths

Video Transcript: Algebra Applications: Functions and Relations, Segment 3: Circular Paths

This is the transcript for the video of same title. Video contents: The path of a rocket orbiting the Earth can be modeled with the equation of a circle.

Applications of Functions and Relations, Relations and Functions

## Video Transcript: Geometry Applications: Circles

Video Transcript: Geometry Applications: Circles

This is the transcript for the video of same title. Video contents: In this program we explore the properties of circles. We do this in the context of two real-world applications.

Applications of Circles

## Video Transcript: Geometry Applications: Circles, Segment 1: The Basics of Circles

Video Transcript: Geometry Applications: Circles, Segment 1: The Basics of Circles

This is the transcript for the video of same title. Video contents: We visit Chaco Canyon in New Mexico to explore the circular kivas and in the process discover how circular buildings have been used to study the heavens.

Applications of Circles