Keywords: Right Triangles (28)

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Are They Similar?
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Are They Similar?

In this problem, students are given a picture of two triangles that ... (more)

In this problem, students are given a picture of two triangles that appear to be similar, but whose similarity cannot be proven without further information. Asking students to provide a sequence of similarity transformations that maps one triangle to the other focuses them on the work of standard G-SRT.2, using the definition of similarity in terms of similarity transformations. (less)

Subject:
Mathematics and Statistics
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
Illustrative Mathematics
Institute for Mathematics and Education
Provider Set:
Illustrative Mathematics
Illustrative Mathematics
Author:
Illustrative Mathematics
Bank Shot
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Bank Shot

This task asks students to use similarity to solve a problem in ... (more)

This task asks students to use similarity to solve a problem in a context that will be familiar to many, though most students are accustomed to using intuition rather than geometric reasoning to set up the shot. (less)

Subject:
Mathematics and Statistics
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
Illustrative Mathematics
Institute for Mathematics and Education
Provider Set:
Illustrative Mathematics
Illustrative Mathematics
Author:
Illustrative Mathematics
Calculating Volumes of Compound Objects

Calculating Volumes of Compound Objects

This lesson unit is intended to help teahcers assess how well students ... (more)

This lesson unit is intended to help teahcers assess how well students solve problems involving measurement, and in particular, to identify and help students who have the following difficulties; computing measurements using formulas; decomposing compound shapes into simpler ones; using right triangles and their properties to solve real-world problems. (less)

Subject:
Mathematics and Statistics
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Catching the Perfect SAR Waves!
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Catching the Perfect SAR Waves!

Students learn the importance of the Pythagorean theorem as applied in radar ... (more)

Students learn the importance of the Pythagorean theorem as applied in radar imaging. They use a sensor unit with IRED (infrared emitting diode) to measure triangle distances and the theorem to calculate and verify distances. Student groups calibrate the sensor units to ensure accurate distance measurements. A "pretend" outdoor radar imaging model is provided to groups for sensor unit testing. (less)

Subject:
Mathematics
Engineering
Physics
Material Type:
Activities and Labs
Instructional Material
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Luis Avila, Mounir Ben Ghalia
RET-ENET Program, Electrical Engineering Department,
TeachEngineering.org
Dilating a Line
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Dilating a Line

This task gives students the opportunity to verify that a dilation takes ... (more)

This task gives students the opportunity to verify that a dilation takes a line that does not pass through the center to a line parallel to the original line, and to verify that a dilation of a line segment (whether it passes through the center or not) is longer or shorter by the scale factor. (less)

Subject:
Mathematics and Statistics
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
Illustrative Mathematics
Institute for Mathematics and Education
Provider Set:
Illustrative Mathematics
Illustrative Mathematics
Author:
Illustrative Mathematics
Finding the Area of an Equilateral Triangle
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Finding the Area of an Equilateral Triangle

This tasks examines how to calculate the area of an equilateral triangle ... (more)

This tasks examines how to calculate the area of an equilateral triangle using high school geometry. (less)

Subject:
Mathematics and Statistics
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
Illustrative Mathematics
Institute for Mathematics and Education
Provider Set:
Illustrative Mathematics
Illustrative Mathematics
Author:
Illustrative Mathematics
The Four-Square Quilt
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The Four-Square Quilt

In this activity, learners arrange triangles together to make patterns to create ... (more)

In this activity, learners arrange triangles together to make patterns to create paper quilts. Learners experiment arranging the triangles in different ways to make various designs. Use this activity to illustrate how triangles can be combined to make other shapes, reflection, and the different types of triangles (isosceles, right, equilateral, scalene). This resource includes the quilt templates and shapes. (less)

Subject:
Mathematics
Science and Technology
Engineering
Physics
Technology
Education
Material Type:
Activities and Labs
Instructional Material
Lesson Plans
Provider:
Exploratorium
Science and Math Informal Learning Educators (SMILE)
Provider Set:
Exploratorium
SMILE Pathway: Science and Math Activities in One Search
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
G-MG Coins in a Circular Pattern
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G-MG Coins in a Circular Pattern

This task complements ``Seven Circles'' I, II, and III. This is a ... (more)

This task complements ``Seven Circles'' I, II, and III. This is a hands-on activity which students could work on at many different levels and the activity leads to many interesting questions for further investigation. (less)

Subject:
Mathematics and Statistics
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
Illustrative Mathematics
Institute for Mathematics and Education
Provider Set:
Illustrative Mathematics
Illustrative Mathematics
Author:
Illustrative Mathematics
G-MG Seven Circles III
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G-MG Seven Circles III

This task provides an opportunity to model a concrete situation with mathematics. ... (more)

This task provides an opportunity to model a concrete situation with mathematics. Once a representative picture of the situation described in the problem is drawn (the teacher may provide guidance here as necessary), the solution of the task requires an understanding of the definition of the sine function. When the task is complete, new insight is shed on the ``Seven Circles I'' problem which initiated this investigation as is noted at the end of the solution. (less)

Subject:
Mathematics and Statistics
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
Illustrative Mathematics
Institute for Mathematics and Education
Provider Set:
Illustrative Mathematics
Illustrative Mathematics
Author:
Illustrative Mathematics
Geometry Problems: Circles and Triangles

Geometry Problems: Circles and Triangles

This lesson unit is intended to help teachers assess how well students ... (more)

This lesson unit is intended to help teachers assess how well students are able to use geometric properties to solve problems. In particular, the lesson will help you identify and help students who have the following difficulties: solving problems by determining the lengths of the sides in right triangles; and finding the measurements of shapes by decomposing complex shapes into simpler ones. The lesson unit will also help students to recognize that there may be different approaches to geometrical problems, and to understand the relative strengths and weaknesses of those approaches. (less)

Subject:
Mathematics and Statistics
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Inscribing and Circumscribing Right Triangles

Inscribing and Circumscribing Right Triangles

This lesson unit is intended to help teachers assess how well students ... (more)

This lesson unit is intended to help teachers assess how well students are able to use geometric properties to solve problems. In particular, it will help you identify and help students who have difficulty: decomposing complex shapes into simpler ones in order to solve a problem; bringing together several geometric concepts to solve a problem; and finding the relationship between radii of inscribed and circumscribed circles of right triangles. (less)

Subject:
Mathematics and Statistics
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Joining Two Midpoints of Sides of a Triangle
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Joining Two Midpoints of Sides of a Triangle

This task is closely related to very important material about similarity and ... (more)

This task is closely related to very important material about similarity and ratios in geometry. (less)

Subject:
Mathematics and Statistics
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
Illustrative Mathematics
Institute for Mathematics and Education
Provider Set:
Illustrative Mathematics
Illustrative Mathematics
Author:
Illustrative Mathematics
2002 llaF ,gnivloS melborP gnireenignE dna sretupmoC ot noitcudortnI

2002 llaF ,gnivloS melborP gnireenignE dna sretupmoC ot noitcudortnI

.desu si egaugnal gnimmargorp avaJ ehT .gninnalp dna ,tnemeganam ,ecneics ,gnireenigne ni ... (more)

.desu si egaugnal gnimmargorp avaJ ehT .gninnalp dna ,tnemeganam ,ecneics ,gnireenigne ni smelborp gnivlos rof seuqinhcet gnipoleved no si sisahpmE .scipot decnavda detceles dna scihparg retupmoc ,gnihcraes dna gnitros ,serutcurts atad ,sdohtem laciremun ,secafretni resu lacihparg ,stpecnoc gnimmargorp revoc smelborp gnimmargorp ylkeeW .esruoc eht fo sucof eht si tnempoleved dna ngised erawtfos detneiro-tcejbO .snoitacilppa cifitneics dna gnireenigne rof sdohtem lanoitatupmoc dna tnempoleved erawtfos latnemadnuf stneserp esruoc sihT (less)

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