Use the diagram to answer question Tree

Transcription

1 Use the diagram to answer question Tree 1. A fence was placed around a tree as shown in the diagram. The measures of two of the angles formed by the fence are 50 and 30. What is the measure of the third angle? A. 10 B. 100 C. 170 D. 280

2 1. Which triangle is a right triangle? A B C D

3 Please write your response in the space provided. Use the figures below to answer question 1. X Y 1. Triangle X is an equilateral triangle. Triangle Y is an obtuse triangle. Part A Part B Part C How are the triangles alike? How are the triangles different? Is it possible for an equilateral triangle to also be an obtuse triangle? Explain your answer

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5 1. The base of a flower vase is circular in shape with a diameter of 6 inches. What is the area of the base in square inches? (Use 3.14 for π. ) A B C D

6 Use the diagram below to answer question 1. X 1. Ryan built a craft stick bridge. What type of angle is angle X? A. Acute B. Obtuse C. Right D. Straight

7 MCA-II Item Sampler Answer Key Grade 6 Mathematics Item # Correct Answer Item Type Strand Sub- Strand Benchmark Cognitive Level B MC V B 1 A D MC V B 2 A See Annotation CR V B 2 B A MC V B 3 B A MC V B 4 A

8 MCA-II Item Sampler Rubric, Sample Responses and Answer Annotations Grade 6 Mathematics Rubric: Score Description 4 The response includes the 4 following scoring points: correct similarity in Part A correct difference in Part B explanation includes describing properties of equilateral or obtuse triangles in Part C explanation clearly states why a triangle cannot have properties of both equilateral and obtuse triangles in Part C 3 The response includes 3 of the 4 scoring points. 2 The response includes 2 of the 4 scoring points. 1 The response includes 1 of the 4 scoring points. OR The response includes some relevant work. 0 The response is incorrect or irrelevant. Sample Answer: Part A The interior angles add up to 180º. OR They both have an acute angle. OR Other acceptable similarity Part B The angles in triangle X are all the same. The angles in triangle Y are all different. OR Triangle Y has an obtuse angle and triangle X does not. OR Other acceptable difference Part C No, because all of the angles in an equilateral triangle equal 60º. One of the angles in an obtuse triangle has to be greater than 90º. OR Other acceptable explanation

9 Score Point 4: The response has a correct similarity and difference and a complete explanation addressing both equilateral and obtuse triangles.

10 Score Point 4: The response has a correct similarity and difference and a complete explanation addressing both equilateral and obtuse triangles.

11 Score Point: 3 The response has a correct difference and a complete explanation addressing both equilateral and obtuse triangles. The similarity uses language that does not meet grade level expectations.

12 Score Point: 3 The response has a correct similarity and difference, but the explanation in Part C includes an incorrect statement about obtuse triangles.

13 Score Point: 2 The response has a correct similarity and the explanation addresses the properties of an equilateral triangles. The difference is not specific enough, and a reference to obtuse triangles in Part C is missing.

14 Score Point: 2 The response has a correct similarity. The example of a difference includes an incorrect statement about triangle Y. The explanation in Part C touches on both equilateral and obtuse triangles, but the connection between the facts is missing.

15 Score Point: 1 The response has a correct similarity. The difference is a repetition of the given information and includes irrelevant information. The explanation is incorrect.

16 Score Point: 1 The response has a correct difference. The similarity is a repetition of the given information. The explanation is incomplete.

17 Score Point: 0 The response shows no relevant work.

18 Score Point: 0 The response shows no relevant work.