Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean...
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![Page 1: Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean Theorem. Questions courtesy of the Smarter Balanced Assessment.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697c01b1a28abf838ccf752/html5/thumbnails/1.jpg)
Claim 1Smarter Balanced Sample Items
Grade 8 - Target H
Understand and apply the Pythagorean Theorem.
Questions courtesy of the Smarter Balanced Assessment Consortium Item Specifications – Version 3.0Slideshow organized by SMc Curriculum – www.ccssmathactivities.com
![Page 2: Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean Theorem. Questions courtesy of the Smarter Balanced Assessment.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697c01b1a28abf838ccf752/html5/thumbnails/2.jpg)
A right triangle is shown. Enter the value of x.
#1
![Page 3: Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean Theorem. Questions courtesy of the Smarter Balanced Assessment.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697c01b1a28abf838ccf752/html5/thumbnails/3.jpg)
Rubric:(1 point) Student enters correct value.
Answer: 2.6
#1 Answer
![Page 4: Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean Theorem. Questions courtesy of the Smarter Balanced Assessment.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697c01b1a28abf838ccf752/html5/thumbnails/4.jpg)
A right square pyramid is shown. The height of the pyramid is 4 units. The distance from the center of the base of the pyramid to vertex D is 3 units, as shown. Enter the length of segment AD, in units.
#2
![Page 5: Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean Theorem. Questions courtesy of the Smarter Balanced Assessment.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697c01b1a28abf838ccf752/html5/thumbnails/5.jpg)
Rubric:(1 point) Student enters correct value.
Answer: 5
#2 Answer
![Page 6: Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean Theorem. Questions courtesy of the Smarter Balanced Assessment.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697c01b1a28abf838ccf752/html5/thumbnails/6.jpg)
A 13-foot ladder is leaning on a tree. The bottom of the ladder is on the ground at a distance of 5 feet from the base of the tree. The base of the tree and the ground form a right angle as shown. Enter the distance between the ground and the top of the ladder, x, in feet.
#3
![Page 7: Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean Theorem. Questions courtesy of the Smarter Balanced Assessment.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697c01b1a28abf838ccf752/html5/thumbnails/7.jpg)
Rubric:(1 point) Student enters correct value.
Answer: 12
#3 Answer
![Page 8: Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean Theorem. Questions courtesy of the Smarter Balanced Assessment.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697c01b1a28abf838ccf752/html5/thumbnails/8.jpg)
The table shows the side lengths for some triangles. Determine whether the side lengths define a right triangle. Select Yes if it is a right triangle. Select No if it cannot be a right triangle.
#4
![Page 9: Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean Theorem. Questions courtesy of the Smarter Balanced Assessment.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697c01b1a28abf838ccf752/html5/thumbnails/9.jpg)
Rubric:(1 point) Student correctly classifies triangles.
Answer: N, N, Y
#4 Answer
![Page 10: Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean Theorem. Questions courtesy of the Smarter Balanced Assessment.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697c01b1a28abf838ccf752/html5/thumbnails/10.jpg)
A coordinate plane is shown with labeled points. What is the distance between point A and point B on the coordinate plane?
A. 5
B. 6
C. 10
D. 14
#5
![Page 11: Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean Theorem. Questions courtesy of the Smarter Balanced Assessment.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697c01b1a28abf838ccf752/html5/thumbnails/11.jpg)
Rubric:(1 point) Student selects the distance between point A and point B.
Answer: C
#5 Answer
![Page 12: Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean Theorem. Questions courtesy of the Smarter Balanced Assessment.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697c01b1a28abf838ccf752/html5/thumbnails/12.jpg)
What is the distance between points (5, 2) and (-3, -4) on the coordinate plane?
A.5B.6C.10D.14
#6
![Page 13: Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean Theorem. Questions courtesy of the Smarter Balanced Assessment.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697c01b1a28abf838ccf752/html5/thumbnails/13.jpg)
Rubric:(1 point) Student selects the distance between point A and point B.
Answer: C
#6 Answer
![Page 14: Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean Theorem. Questions courtesy of the Smarter Balanced Assessment.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697c01b1a28abf838ccf752/html5/thumbnails/14.jpg)
The points show different locations in Joe’s town. Each unit represents 1 mile. What is the distance, in miles, between Joe’s Home and the Park? Round your answer to the nearest tenth.
#7
![Page 15: Claim 1 Smarter Balanced Sample Items Grade 8 - Target H Understand and apply the Pythagorean Theorem. Questions courtesy of the Smarter Balanced Assessment.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697c01b1a28abf838ccf752/html5/thumbnails/15.jpg)
Rubric:(1 point) The student finds the distance.
Answer: 3.6
#7 Answer