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Pythagorean Theorem: What is unknown?

published by David Wees on Sun, 2018-02-04 09:49
Preview: 

This task focuses students on how structural differences in which side is unknown in a right triangle lead to different equations to find the missing side. For this task, choose one of the triangles or one of the equations for students to create.

Grade: 
Grade 8
Task Type: 
Connecting Representations
Source: 
New Visions for Public Schools
Links: 
Description of the Routine
Slides Template
Planning Document
Big Idea: 
Grade 8: The relationship between surface area and volume of 3D objects can be used to describe, measure, and compare spatial relationships.
Content: 
modelling the Pythagorean theorem, finding a missing side of a right triangle
Curricular Competency: 
Reasoning and analyzing: Develop mental math strategies and abilities to make sense of quantities
Understanding and solving: Develop, demonstrate, and apply mathematical understanding through play, inquiry, and problem solving
Understanding and solving: Visualize to explore mathematical concepts
Understanding and solving: Develop and use multiple strategies to engage in problem solving
Communicating and representing: Communicate mathematical thinking in many ways
Communicating and representing: Use mathematical vocabulary and language to contribute to mathematical discussions
Communicating and representing: Explain and justify mathematical ideas and decisions
Communicating and representing: Represent mathematical ideas in concrete, pictorial, and symbolic forms
Connecting and reflecting: Reflect on mathematical thinking

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