# Lesson 5 Homework Practice The Pythagorean Theorem Answers To Logo

**Pentominoes. Oh, is this fun!!**

This site provides a variety of practice for all concepts in math.

Check it out. Not all is free on this one.

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Multiplication mystery see how knowing one fact can open more than one block

**http://www.harcourtschool.com/activity/mult/mult.html**

**http://www.k111.k12.il.us/king/math.htm#Tessellations**

**Graphing Mole**

**http://funbasedlearning.com/algebra/graphing/default.htm**

**Puzzles and Games**

**http://www.cut-the-knot.org/SimpleGames/RFWH.shtml**

**http://www.cut-the-knot.org/games.shtml**

Fun things to do

http://redstudio.moma.org/

http://swarmsketch.com/

http://www.lovelinerider.com/html/Play/20061225/224.html

On-line Textbook for advanced math

**Pre-Algebra ****www.pre-alg.com**

User Name: | PREALG05 |

Lesson objective: Apply the Pythagorean Theorem to distance in 3D space.

This lesson provides an opportunity for students to apply their knowledge and understanding of calculating distance to a real-life situation. Students are asked to find the diagonal space in gift boxes to see if gifts with certain lengths will fit inside.

Key Concept students will use:

- We can use the relationships shown in the Pythagorean Theorem to solve problems given particular pieces of information about the problem.

Skills students will use:

- Use rational approximations of irrational numbers to compare the size of irrational numbers. (8.NS.A.2)
- Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. (8.G.B.7)
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. (8.G.B.8)

Students engage in Mathematical Practice 1 (make sense of problems and persevere in solving them) as they develop a strategy to find distance in three dimensions, then apply that strategy to see if the gifts will fit in the boxes.

**Key vocabulary: **

- 3-dimensional space
- diagonal
- Pythagorean Theorem

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