Pythagorean Theorem: Word Problems
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Medium
Standards-aligned
James Schneider
Used 48+ times
FREE Resource
5 Slides • 6 Questions
1
Pythagorean Theorem: Word Problems
I can find the length of a missing leg or hypotenuse from a word problem.
2
How to solve a Pythagorean Theorem Word Problem.
From her house, Jen could drive due north to get to her parents' house or she could drive due east to get to her grandparents' house. It is 16 kilometers from Jen's house to her parents' house and a straight-line distance of 20 kilometers from her parents' house to her grandparents' house. How far is Jen from her grandparents' house?
3
Determine the important information
From her house, Jen could drive due north to get to her parents' house or she could drive due east to get to her grandparents' house. It is 16 kilometers from Jen's house to her parents' house and a straight-line distance of 20 kilometers from her parents' house to her grandparents' house. How far is Jen from her grandparents' house?
4
Multiple Choice
Which model represents our word problem?
(Provided compass will assist with direction)
5
Multiple Choice
What distance would be considered our hypotenuse?
Jen's house to grandparents' house
Jen's house to parent's house
grandparents' house to parent's house
6
Multiple Choice
How far is Jen from her grandparent's house?
25.6 kilometers
12 kilometers
32 kilometers
10 kilometers
7
Pythagorean Word Problem steps:
(Add to notes)
1. Read the problem.
2. Identify the important information.
3. Create and label your model.
4. Determine if you are solving for the hypotenuse length or leg length.
5. Use the corresponding procedure to solve for either hypotenuse or leg length
8
Try on your own!
9
Multiple Choice
You need a ladder that will reach the top of a 25 foot house when placed 10 feet away from the house. How tall does the ladder need to be?
25 feet
28 feet
26 feet
27 feet
10
Multiple Choice
The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 3 feet tall and 6 feet wide?
18 feet
6.7 feet
9 feet
7.6 feet
11
Multiple Choice
Tally often visits the library and her local coffee shop. From Tally's house, the library is North and the coffee shop is West. The library is 2.5 miles from Tally's house and the coffee shop is 7 miles from the library. How far is Tally's house from the coffee shop?
5 miles
5.9 miles
7.2 miles
6.5 miles
Pythagorean Theorem: Word Problems
I can find the length of a missing leg or hypotenuse from a word problem.
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