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Module 2 builds on students' previous work with units and with functions from Algebra I, and with trigonometric ratios and circles from high school Geometry. The heart of the module is the study of precise definitions of sine and cosine (as well as tangent and the co-functions) using transformational geometry from high school Geometry. This precision leads to a discussion of a mathematically natural unit of rotational measure, a radian, and students begin to build fluency with the values of the trigonometric functions in terms of radians. Students graph sinusoidal and other trigonometric functions, and use the graphs to help in modeling and discovering properties of trigonometric functions. The study of the properties culminates in the proof of the Pythagorean identity and other trigonometric identities.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Algebra
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
08/15/2014
Educational Use
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This is an introduction to finding the arc length and area of sectors of circles. Students should have the formulas for Circumference and Area of circles.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
Texas Instruments
08/07/2023
Educational Use
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0.0 stars

In this video segment you’ll discover how using concentric circles can help you determine how much paint is needed to cover the deck of a carousel.

Subject:
Geometry
Mathematics
Material Type:
Lesson
Provider:
PBS LearningMedia
Author:
New York Network
WNET
05/13/2010
Educational Use
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0.0 stars

In this activity, students will investigate the construction of circles that pass through a given number of points. They will also investigate the number of points needed to generate a unique circle in a plane.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
Texas Instruments
08/07/2023
Educational Use
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0.0 stars

Given this lesson and either the diameter or radius of a circle, you'll be able to calculate the other measure.

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Sophia Learning
12/01/2023
Educational Use
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0.0 stars

Using circumference, this segment measures the total distant traveled by two carousel riders after the carousel has rotated 10 times.

Subject:
Geometry
Mathematics
Material Type:
Lesson
Provider:
PBS LearningMedia
Author:
New York Network
WNET
05/13/2010
Unrestricted Use
CC BY
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The purpose of this task is to strengthen students' understanding of area. It could be assigned in class to individuals or small groups or given as a homework exercise to generate interesting discussions the following day. The relatively high levels of complexity and technical demand enhance its instructional value.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
05/01/2012
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Sal determines if shapes are divided into 2 or 4 equal sections.

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Material Type:
Audio/Video
Lesson
Provider:
11/14/2023
Educational Use
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This discussion examines how to complete the square in circle equations. Students learn about the math concept through definitions and examples with detailed solutions.

Subject:
Mathematics
Material Type:
Provider:
Free Math Help
12/01/2023
Educational Use
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0.0 stars

Provides advanced information about circles through the use of examples and a brief video lesson. [1:00]

Subject:
Mathematics
Material Type:
Lesson
Provider:
Mathplanet
Provider Set:
Geometry
10/01/2022
Educational Use
Rating
0.0 stars

A definition, examples, and a video lesson all help to explain basic information about circles. [0:36]

Subject:
Mathematics
Material Type:
Lesson
Provider:
Mathplanet
Provider Set:
Geometry
10/01/2022
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CC BY-NC-SA
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This site teaches the Geometry of Circles to High Schoolers through a series of 1084 questions and interactive activities aligned to 9 Common Core mathematics skills.

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Interactive
Provider:
Provider Set:
11/17/2020
Educational Use
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0.0 stars

Explains the basic concept of chords with step-by-step instructions and methods for solving specific problems on your own relating to this topic.

Subject:
Mathematics
Material Type:
Author:
Ido Sarig
11/01/2022
Educational Use
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0.0 stars

Explains the basic concept of circles with step-by-step instructions and methods for solving specific problems on your own relating to this topic.

Subject:
Mathematics
Material Type:
Author:
Ido Sarig
11/01/2022
Conditional Remix & Share Permitted
CC BY-NC-SA
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This geometry lesson shows that that an inscribed angle is half of a central angle that subtends the same arc. [Geometry playlist: Lesson 24 of 31]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Geometry
Mathematics
Material Type:
Lecture
Provider:
Provider Set:
Author:
Salman Khan
02/20/2011
Educational Use
Rating
0.0 stars

Inscribed angles and polygons are investigated through examples and a video lesson. [0:42]

Subject:
Mathematics
Material Type:
Lesson
Provider:
Mathplanet
Provider Set:
Geometry
10/01/2022
Conditional Remix & Share Permitted
CC BY-NC-SA
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CK-12's Texas Instruments Geometry Student Edition Flexbook is a useful collection of exercises intended to enrich a student's understanding of basic geometric principles.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Jordan, Lori
12/14/2010
Conditional Remix & Share Permitted
CC BY-NC-SA
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In Module 3, students learn about dilation and similarity and apply that knowledge to a proof of the Pythagorean Theorem based on the Angle-Angle criterion for similar triangles.  The module begins with the definition of dilation, properties of dilations, and compositions of dilations.  One overarching goal of this module is to replace the common idea of same shape, different sizes with a definition of similarity that can be applied to geometric shapes that are not polygons, such as ellipses and circles.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Geometry
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
10/17/2013
Unrestricted Use
CC BY
Rating
0.0 stars

This task shows how to inscribe a circle in a triangle using angle bisectors. A companion task, ``Inscribing a circle in a triangle II'' stresses the auxiliary remarkable fact that comes out of this task, namely that the three angle bisectors of triangle ABC all meet in the point O.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
01/21/2013
Unrestricted Use
CC BY
Rating
0.0 stars

This task is primarily for instructive purposes but can be used for assessment as well. Parts (a) and (b) are good applications of geometric constructions using a compass and could be used for assessment purposes but the process is a bit long since there are six triangles which need to be constructed.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics