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Partner PracticePythagorean Theorem
Worksheet + Reflection
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Directions:
1. Copy enough worksheets so that half of the class will get Practice #1 and the other half will get Practice #2.
2. Give students time to simplify the expressions independently.
3. Once complete, students can find a partner who has the other worksheet (or you can have the partners chosen ahead of time). The answers are the same for each problem. Talk about each one. If they have two different answers, students should talk it out and figure out which answer is correct.
4. Once finished, students can fill out the reflections sheet together.
©2014 Math on the Move
Name ____________________Pract ice #1For each problem, use the Pythagorean Theorem to find the missing length. Show your work, and round your answers to the nearest tenth.
21
43
5A 51-foot ladder is leaning up against a building. The top of the ladder reaches the wall at a height of 50 feet. How far is the bottom of the ladder from the building?
5
7
x
x
24
10
x4.5
12
x50
40
Show your work and explain in words how you completed the following problems:
2
5
x4.5
12
A 51-foot ladder is leaning up against a building. The top of the ladder reaches the wall at a height of 50 feet. How far is the bottom of the ladder from the building?
From a Love
©2014 Math on the Move
21
43
5
Name ____________________Pract ice #2For each problem, use the Pythagorean Theorem to find the missing length. Show your work, and round your answers to the nearest tenth.
A ladder is leaning up against a building. The bottom of the ladder is 6 feet from the building. The top of the ladder reaches the wall at a height of 8 feet. How long is the ladder?
x
x
15
48
54.6
x
9.3
6
x
28.3
10
17.3
Show your work and explain in words how you completed the following problems:
2
5
x
9.3
6
A ladder is leaning up against a building. The bottom of the ladder is 6 feet from the building. The top of the ladder reaches the wall at a height of 8 feet. How long is the ladder?
From a Love
©2014 Math on the Move
Names ________________________Ref lect ion Sheet __________________________
Answer the following questions. Each person should take a turn talking for each question, then record your responses.
1. Was there a question that you each got a different answer? ________a. If so, which question was it? What was the reason for the mistake?
b. How did you figure out which answer was correct?
2. Choose one problem and discuss how you can use estimation to determine whether or not you have the correct solution. Show your work in estimating the solution below.
3. Discuss why it is helpful to know more than one method to solve a problem. Record your answer below.
Problem:
Estimated answer (with work)
From a Love
©2014 Math on the Move
Name ____________________Practice #1For each problem, use the Pythagorean Theorem to find the missing length. Show your work, and round your answers to the nearest tenth.
21
43
5
21
43
5
Name ____________________Practice #2For each problem, use the Pythagorean Theorem to find the missing length. Show your work, and round your answers to the nearest tenth.
A 51-foot ladder is leaning up against a building. The top of the ladder reaches the wall at a height of 50 feet. How far is the bottom of the ladder from the building?
A ladder is leaning up against a building. The bottom of the ladder is 6 feet from the building. The top of the ladder reaches the wall at a height of 8 feet. How long is the ladder?
5
7
x xx
x
x
4.5
x
24
10
15
12
x50
40 48
54.6
9.3
6
x
28.3
10
17.3
KEY KEY
8.6
26
10 feet
11.1
30
8.6
26
11.1
30
10 feet
From a Love
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