ALEX Classroom Resource

  

Understanding the Pythagorean Theorem

  Classroom Resource Information  

Title:

 Understanding the Pythagorean Theorem

URL:

 https://aptv.pbslearningmedia.org/resource/mkcpt.math.g.underpythagorean/understanding-the-pythagorean-theorem/

Content Source:

 PBS
Type: Audio/Video

Overview:

In this video, learn how to use the Pythagorean Theorem to find the distance between two points on a coordinate grid. In the accompanying classroom activity, students apply what they learned in the video as they solve similar problems and discuss solution strategies. To get the most from this lesson, students should be comfortable using the Pythagorean Theorem to find an unknown side of a right triangle, graphing points on the coordinate plane, and finding the distance between points with the same x- or y- values.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 8
28. Apply the Pythagorean Theorem to determine unknown side lengths of right triangles, including real-world applications
Unpacked Content
Evidence Of Student Attainment:
Students: Given real-world and mathematical problems in two and three dimensions,
  • Apply the Pythagorean Theorem in order to solve problems and justify solutions and solution paths for finding side lengths in right triangles within the problem contexts.
Teacher Vocabulary:
  • Pythagorean Theorem
Knowledge:
Students know:
  • The Pythagorean Theorem.
  • Appropriate labeling of a right triangle, leg and hypotenuse.
Skills:
Students are able to:
  • Solve equations involving one variable and square root.
  • Represent real-world and mathematical contexts involving right triangles in a variety of formats (drawings, equations).
  • Justify solutions and solution paths using conceptual understandings and vocabulary related to the Pythagorean Theorem (right angle, hypotenuse).
Understanding:
Students understand that:
  • the properties of right triangles can be used to solve problems.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.8.28.1: Discuss strategies for solving real-world and mathematical problems.
M.8.28.2: Solve problems using the Pythagorean Theorem, with or without a calculator.
M.8.28.3: Identify right triangles.
M.8.28.4: Demonstrate how to find square roots, with or without a calculator.
M.8.28.5: Solve problems with exponents, with or without a calculator.

Prior Knowledge Skills:
  • Define exponent, numerical expression, algebraic expression, variable, base, power, square of a number, and cube of a number.
  • Compute a numerical expression with exponents, with or without a calculator.
  • Restate exponential numbers as repeated multiplication.
  • Choose the correct value to replace each variable in the expression (Substitution).
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.8.27 Use the pythagorean theorem to find the hypotenuse when given the measures of two legs in a real-world context. Limit to Pythagorean triples.
Mathematics
MA2019 (2019)
Grade: 8
Accelerated
50. Apply the Pythagorean Theorem to determine unknown side lengths of right triangles, including real-world applications. [Grade 8, 28]
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Given real-world and mathematical problems in two and three dimensions, apply the Pythagorean Theorem in order to solve problems and justify solutions and solution paths for finding side lengths in right triangles within the problem contexts.
Teacher Vocabulary:
  • Pythagorean Theorem
  • Right triangle
  • hypotenuse
  • leg
Knowledge:
Students know:
  • Pythagorean Theorem.
  • Appropriate labeling of a right triangle, (leg and hypotenuse).
Skills:
Students are able to:
  • Solve equations involving one variable and square root.
  • Represent real-world and mathematical contexts involving right triangles in a variety of formats (e.g., drawings, equations).
  • Justify solutions and solution paths using conceptual understandings and vocabulary related to the Pythagorean Theorem (e.g., right angle, hypotenuse).
Understanding:
Students understand that:
  • The properties of right triangles can be used to solve problems.
Diverse Learning Needs:
Tags: distance, hypotenuse, leg, Pythagorean Theorem, right triangle, squares, triangles
License Type: Public Domain
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
AccessibilityVideo resources: includes closed captioning or subtitles
Comments

This resource includes an activity page.

  This resource provided by:  
Author: Kristy Lacks
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