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Understanding Pythagorean Triples and Patterns

Understanding Pythagorean Triples and Patterns

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Practice Problem

Hard

CCSS
8.G.B.8, 8.G.A.2, HSA-SSE.B.3B

+3

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.8.G.B.8
,
CCSS.8.G.A.2
,
CCSS.HSA-SSE.B.3B
CCSS.HSG.SRT.C.8
,
CCSS.HSF-IF.C.8A
,
CCSS.HSG.CO.B.6
,
The video tutorial introduces the Pythagorean theorem and explores Pythagorean triples, which are sets of whole numbers that satisfy the theorem. It identifies patterns in these triples and presents formulas to generate them. The tutorial further explains a generalized formula for creating Pythagorean triples and provides examples to illustrate its application. The video concludes with a discussion on the significance of these patterns and formulas in understanding right triangles.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a Pythagorean triple?

5, 6, 7

2, 3, 4

3, 4, 5

1, 2, 3

Tags

CCSS.8.G.B.8

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the pattern observed in the Pythagorean triples like 3-4-5 and 5-12-13?

'c' is 'b+3'

'a' increases by 2

'c' is 'b+2'

'a' increases by 3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the formula generating Pythagorean triples with odd 'a', what is 'b' when 'x' is 3?

4

5

6

7

Tags

CCSS.8.G.B.8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the formula for even 'a' triples, what is the relationship between 'c' and 'b'?

'c' is 'b+3'

'c' is 'b+1'

'c' is 'b+2'

'c' is 'b+4'

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for 'b' in the even 'a' triples?

1/2 x^2 + 1/2

1/4 x^2 + 1

1/4 x^2 - 1

1/2 x^2 - 1/2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the generalized formula for 'b' in triples where 'c' is 'b+8'?

1/8 x^2 - 4

1/2 x^2 - 4

1/16 x^2 - 4

1/4 x^2 - 4

Tags

CCSS.8.G.B.8

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the generalized formula, what is the value of 'z' for triples where 'c' is 'b+9'?

8

9

10

11

Tags

CCSS.HSG.SRT.C.8

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