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This task requires students to apply the Pythagorean Theorem.

Subject:
Math
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
05/01/2012 Educational Use
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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.

Subject:
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Luis Avila
Mounir Ben Ghalia
10/14/2015 Unrestricted Use
CC BY
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This task is for instruction purposes. Part (b) is subtle and the solution presented here uses a "dynamic" view of triangles with two side lengths fixed. This helps pave the way toward what students will see later in trigonometry but some guidance will likely be needed in order to get students started on this path.

Subject:
Math
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
08/17/2012 Conditional Remix & Share Permitted
CC BY-NC-SA
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The purpose of this lesson is to use what has been learned about squares and square roots to find the side lengths of a right triangle.

Included is a YouTube video to support Grade 8 Blended Learning Math - Unit 1.5: Square Roots and Pythagorean Theorem - The Pythagorean Theorem.

Subject:
Math
Material Type:
Activity/Lab
Homework/Assignment
Lesson
Provider:
Sun West Distance Learning Centre (DLC)
12/05/2023 Conditional Remix & Share Permitted
CC BY-NC-SA
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The purpose of this lesson is to look at various triangles and explore how to identify right triangles using Pythagorean Theorem.

Included is a YouTube video to support Grade 8 Blended Learning Math - Unit 1.6: Square Roots and Pythagorean Theorem - Exploring the Pythagorean Theorem.

Subject:
Math
Material Type:
Activity/Lab
Homework/Assignment
Lesson
Provider:
Sun West Distance Learning Centre (DLC)
12/05/2023 Conditional Remix & Share Permitted
CC BY-NC-SA
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The purpose of this lesson is to use the Pythagorean Theorem and its corresponding algebraic expression solve a variety of problems.

Included is a YouTube video to support Grade 8 Blended Learning Math - Unit 1.7: Square Roots and Pythagorean Theorem - Applying the Pythagorean Theorem.

Subject:
Math
Material Type:
Activity/Lab
Homework/Assignment
Lesson
Provider:
Sun West Distance Learning Centre (DLC)
12/05/2023 Conditional Remix & Share Permitted
CC BY-NC-SA
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The purpose of this lesson is to approximate the square roots of non-perfect squares.

Included is a YouTube video to support Grade 9 Blended Learning Math - Unit 1.2: Square Roots and Surface Areas - Square Roots of Non-Perfect Squares.

Subject:
Math
Material Type:
Activity/Lab
Homework/Assignment
Lesson
Provider:
Sun West Distance Learning Centre (DLC)
12/05/2023 Conditional Remix & Share Permitted
CC BY-NC-SA
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The purpose of this lesson is to determine the surface area of composite objects made from right rectangular prisms and right cylinders.

Included is a YouTube video to support Grade 9 Blended Learning Math - Unit 1.4: Square Roots and Surface Areas - Surface Areas of Objects Made from Other Composite Objects.

Subject:
Math
Material Type:
Activity/Lab
Homework/Assignment
Lesson
Provider:
Sun West Distance Learning Centre (DLC)
12/05/2023 Conditional Remix & Share Permitted
CC BY-NC-SA
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The purpose of this lesson is to discover the relationship between a radius and a tangent, then solve related problems.

Included is a YouTube video to support Grade 9 Blended Learning Math - Unit 8.1: Circle Geometry - Properties of Tangents to a Circle.

Subject:
Math
Material Type:
Activity/Lab
Homework/Assignment
Lesson
Provider:
Sun West Distance Learning Centre (DLC)
12/05/2023 Conditional Remix & Share Permitted
CC BY-NC-SA
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The purpose of this lesson is to relate a chord, its perpendicular bisector and the center of a circle. Then, solve problems using these relationships.

Included is a YouTube video to support Grade 9 Blended Learning Math - Unit 8.2: Circle Geometry - Properties of Chords in a Circle.

Subject:
Math
Material Type:
Activity/Lab
Homework/Assignment
Lesson
Provider:
Sun West Distance Learning Centre (DLC)
12/05/2023 Educational Use
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0.0 stars

Students use simple materials to design an open spectrograph so they can calculate the angle light is bent when it passes through a holographic diffraction grating. A holographic diffraction grating acts like a prism, showing the visual components of light. After finding the desired angles, students use what they have learned to design their own spectrograph enclosure.

Subject:
Physics
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
10/14/2015 Conditional Remix & Share Permitted
CC BY-NC-SA
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"The Core Knowledge Foundation provides open access to content-rich curriculum materials for preschool through grade 8, including the Core Knowledge Curriculum Series™, with many materials now available and many more in development."

*Full Units
*Books for Students
*Teaching Materials
*Scope & Sequence

Subject:
Arts Education
English Language Arts
Health & Fitness
Health Education
Math
Science
Material Type:
Activity/Lab
Lesson
Primary Source
Teaching/Learning Strategy
Textbook
Unit of Study
Author:
Core Knowledge Foundation
11/01/2023 Conditional Remix & Share Permitted
CC BY-NC-SA
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In this module, students learn about translations, reflections, and rotations in the plane and, more importantly, how to use them to precisely define the concept of congruence. Throughout Topic A, on the definitions and properties of the basic rigid motions, students verify experimentally their basic properties and, when feasible, deepen their understanding of these properties using reasoning. All the lessons of Topic B demonstrate to students the ability to sequence various combinations of rigid motions while maintaining the basic properties of individual rigid motions. Students learn that congruence is just a sequence of basic rigid motions in Topic C, and Topic D begins the learning of Pythagorean Theorem.

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

Subject:
Math
Material Type:
Module
Provider:
EngageNY
09/21/2013 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:
Math
Material Type:
Module
Provider:
EngageNY
10/17/2013 Conditional Remix & Share Permitted
CC BY-NC-SA
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Module 7 begins with work related to the Pythagorean Theorem and right triangles.  Before the lessons of this module are presented to students, it is important that the lessons in Modules 2 and 3 related to the Pythagorean Theorem are taught (M2:  Lessons 15 and 16, M3:  Lessons 13 and 14).  In Modules 2 and 3, students used the Pythagorean Theorem to determine the unknown length of a right triangle.  In cases where the side length was an integer, students computed the length.  When the side length was not an integer, students left the answer in the form of x2=c, where c was not a perfect square number.  Those solutions are revisited and are the motivation for learning about square roots and irrational numbers in general.

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

Subject:
Math
Material Type:
Module
Provider:
EngageNY
02/02/2014 Educational Use
Rating
0.0 stars

Students explore the concept of similar right triangles and how they apply to trigonometric ratios. Use this lesson as a refresher of what trig ratios are and how they work. In addition to trigonometry, students explore a clinometer app on an Android® or iOS® device and how it can be used to test the mathematics underpinning trigonometry. This prepares student for the associated activity, during which groups each put a clinometer through its paces to better understand trigonometry.

Subject:
Math
Material Type:
Lesson
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Scott Burns
09/18/2014 Educational Use
Rating
0.0 stars

Students see that geometric shapes can be found in all sorts of structures as they explore the history of the Roman Empire with a focus on how engineers 2000 years ago laid the groundwork for many structures seen today. Through a short online video, brief lecture material and their own online research directed by worksheet questions, students discover how the Romans invented a structure known today as the Roman arch that enabled them to build architecture never before seen by humankind, including the amazing aqueducts. Students calculate the slope and its total drop and angle over its entire distance for an example aqueduct. Completing this lesson prepares students for the associated activity in which teams build and test model aqueducts that meet specific constraints. This lesson serves as an introduction to many other geometry—and engineering-related lessons—including statics and trusses, scale modeling, and trigonometry.

Subject:
Math
Material Type:
Lesson
Provider:
TeachEngineering
Author:
Lauchlin Blue
Malinda Zarske
Nathan Coyle
05/07/2018 Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
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Sal introduces the famous and super important Pythagorean theorem! This lesson includes an introduction video followed by examples and practice problems involving finding the hypotenuse, finding a side, finding area of an isosceles triangle, and determining if a triangle is a right triangle. It is followed by a unit on Pythagorean theorem applications.

Subject:
Math
Material Type:
Homework/Assignment
Lesson
Provider:
Author:
Salman Khan
10/10/2018 Educational Use
Rating
0.0 stars

Students explore in detail how the Romans built aqueducts using arches—and the geometry involved in doing so. Building on what they learned in the associated lesson about how innovative Roman arches enabled the creation of magnificent structures such as aqueducts, students use trigonometry to complete worksheet problem calculations to determine semicircular arch construction details using trapezoidal-shaped and cube-shaped blocks. Then student groups use hot glue and half-inch wooden cube blocks to build model aqueducts, doing all the calculations to design and build the arches necessary to support a water-carrying channel over a three-foot span. They calculate the slope of the small-sized aqueduct based on what was typical for Roman aqueducts at the time, aiming to construct the ideal slope over a specified distance in order to achieve a water flow that is not spilling over or stagnant. They test their model aqueducts with water and then reflect on their performance.

Subject:
Math
Material Type:
Activity/Lab
Provider:
TeachEngineering
Author:
Lauchlin Blue
Malinda Zarske
Nathan Coyle
05/07/2018 Rating
0.0 stars

Math Antics has amazing videos to explain concepts for Math. The videos are very clear and explicit and students love them. There are also follow up lessons, activities and worksheets teachers and students can use to solidify learning.

The videos are organized by strand, and all are free. Some of the other resources are free as well, but the cost to have full access is really low. It's just \$10 USD for a full year. That being said, it's super useful even without a paid account!

They cover numeracy, arithmetic, algorithms, fractions, mixed numbers, percentages, ratios, geometry, statistics, measurement, exponents, integers & algebra,

Subject:
Math
Material Type:
Activity/Lab
GAP 4
GAP 5
GAP 6
Lesson
Author:
Math Antics