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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Pythagorean Theorem

For Teachers 9th - 10th Standards
The purpose of this task is to prove the Pythagorean Theorem using similar triangles. Aligns with G-SRT.B.4.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Defining Trigonometric Ratios

For Teachers 9th - 10th Standards
The purpose of this task is to use the notion of similarity to define the sine and cosine of an acute angle. Aligns with G-SRT.C.6.
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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.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Similar Quadrilaterals

For Teachers 9th - 10th Standards
The goal of this task is to study if the analog of the AA criterion for similarity of triangles holds for different types of quadrilaterals. Aligns with HSG-SRT.A.2.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A sse.b.4: Triangle Series

For Teachers 9th - 10th
The purpose of this task is to emphasize the adjective "geometric" in the "geometric" series, namely, that the algebraic notion of a common ratio between terms corresponds to the geometric notion of a repeated similarity transformation....
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Similar Triangles

For Students 9th - 10th Standards
Twelve problems cover the topic of similar triangles. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check each step of your...
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Handout
Sonoma State University

Sonoma State University: Parallel Lines and Similar and Congruent Triangles

For Students 9th - 10th Standards
This site defines parallel lines, parallel lines cut by a transverse, and congruent triangles. It also contains links for related terms.
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Unit Plan
Cuemath

Cuemath: Pythagoras Theorem

For Students 9th - 10th Standards
In this lesson, you will learn about the Pythagoras theorem, its derivations, and equations followed by solved real-world problems on the Pythagoras theorem triangle and squares.
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Handout
Wolfram Research

Wolfram Math World: Similar Triangles

For Students 9th - 10th Standards
Find the necessary information to decide if triangles are similar at this MathWorld site.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Indirect Measurement

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Recognize similarity and use similar figures to solve problems by using indirect measurement
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Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Tube Viewer Simulation

For Students 9th - 10th
A computer simulation of viewing through various lengths of tubes at different distances. The simulation also has an exploration of focus questions. [Requires Java.]
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PPT
Sophia Learning

Sophia: Using Similar Triangles to Make Indirect Measurements: Lesson 5

For Students 9th - 10th
This lesson explains why similar triangles can be used to make indirect measurements, and provides an example. It is 5 of 5 in the series titled "Using Similar Triangles to Make Indirect Measurements."
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Handout
Wolfram Research

Wolfram Math World: Math World: Dilation

For Students 9th - 10th Standards
This MathWorld site gives a visual description of dilation and the different kinds of dilation in a similarity transformation.
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Handout
Sonoma State University

Sonoma State University: Parallel Lines and Similar and Congruent Triangles

For Students 9th - 10th Standards
This site defines eleven theorems relating to parallel lines and similar and congruent triangles. Links to the theorems and relevant term descriptions are provided.
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Unknown Type
Other

Mathematics Internet Library: Free Internet Books

For Students K - 1st Standards
Practice problem worksheets are available for students needing to study basic terms relating to triangles and other math concepts.
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Activity
Texas Instruments

Texas Instruments: Math Today Ballooning Inside the Box

For Teachers 9th - 10th Standards
In this activity Using the USATODAY infograph, "Ballooning inside the box", students will explore geometric relationships using similar triangles. Identifying triangles with two pairs of congruent angles to explore similarity properties...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Extensions, Bisections, Dissections in Rectangle

For Teachers 9th - 10th Standards
In this task, students must draw a diagram from a verbal description and use their understanding of similar triangles to find the area of a quadrilateral. Aligns with G-SRT.B.5.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe, G Srt Slope Criterion for Perpendicular Lines

For Teachers 9th - 10th Standards
The goal of this task is to use similar triangles to establish the slope criterion for perpendicular lines. Aligns with HSG-GPE.B.5 and HSG-SRT.B.5.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Tangent Line to Two Circles

For Teachers 9th - 10th Standards
The purpose of this task is to use similar triangles and setting up a proportion in order to calculate a side length. Aligns with G-SRT.B.5.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Indirect Measurement

For Students 6th - 8th
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to use similar triangles and proportions to find measurements indirectly. Students examine guided notes, review guided practice, watch...
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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Semenjaza

For Students 9th - 10th Standards
In Spanish. Interactive activities dealing with similar triangles and polygons.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Bank Shot

For Teachers 9th - 10th Standards
This task asks students to use similarity to solve a pool table problem. Students must use the fact from physics that when an object bounces off of a wall, the angle of incidence equals the angle of reflection. Aligns with G-SRT.B.5.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g, G Srt Points From Directions

For Teachers 9th - 10th Standards
For this problem, students must carefully read the description of a triangle and a fourth point that lies outside it and draw a picture to represent the problem. They must then use the Pythagorean Theorem to find side lengths. Aligns...
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Lesson Plan
Science and Mathematics Initiative for Learning Enhancement (SMILE)

Smile: Geometry Distance of Triangles Using a Protractor

For Teachers 5th - 9th Standards
Basic exercises are presented to help students understand the concept of the area of triangles and the angles of a triangle.

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