Saskatchewan Common Mathematics Assessments Post Assessment Outcome: SS7.3 Demonstrate an understanding of 2-D relationships involving lines and angles. 1. Match the following words with the correct types of lines. Some answers may be used more than once. Level 1 _____ Parallel _____ Intersecting _____ Perpendicular _____ Vertical _____Horizontal A. B. C. 2. (a) Draw a line segment AB of length 10 cm. Level 2 (b) Use a ruler and protractor to draw a line segment parallel to AB. 3 (c) Use a ruler and compass to draw a line segment parallel to AB. 3 (d) Explain why the lines are parallel. 2 Level 2 3. (a) Draw a line segment CD of length 8 cm. (b) Use a ruler and protractor to draw a line segment that is perpendicular to CD, and that bisects line segment CD. 3 Level Use a ruler and compass to draw a line segment which is the perpendicular bisector of CD. 3 2 d) Explain how to verify your answer for parts b and c. 4. (a) Use a ruler and protractor to draw angle ABC = 80°. 2 (b) Use a ruler and protractor to draw the angle bisector of ABC. (c) Use a ruler and compass to draw the angle bisector of ABC. (d) Explain how to verify your answer for parts b and c. 3 3 2 5. Given the following triangle CDE, use a method to construct the angle bisectors of all three angles. Extend these angle bisectors and describe what you find. Level 3 E C D 6. Given the following triangle RST, use a method to construct the perpendicular bisectors of each side of the triangle. Extend these perpendicular bisectors and describe what you find. 7.R S 3 T 7. A rectangle and a right triangle can be put together in a variety of ways. If the dimensions of the structures are shown below, which of the following combinations has the smallest perimeter and by how much? Explain your answer. Teacher Section Teacher Notes: -compass, protractor, straight edge (ruler) -prior knowledge –grade 5 The teacher may need to adjust questions related to constructions depending upon the construction methods students learned. Indicator 1 SS7.3 1 a 2 2a Answer Level Question Answer Key: 2b SS7.3 3 c,g 2c SS 7.3 c,g B A A B C 3 Student answers will vary depending on the construction method used. 2d 2 3a 2 3b SS 7.3 c,i Student should explain the properties of parallel lines. On the same flat surface (same plane) Lines are the same distance apart Lines that never meet or intersect 3 Student answers will vary depending on the construction method used. 3c 3 3d 2 Student answers may vary. Perpendicular lines intersect a right angles or 90 degrees. 4a 2 Draw angle ABC = 80° 3 Student answers will vary depending on the construction method used. 4c 3 Student answers will vary depending on the construction method used. 4d 2 Student answers may vary. An angle bisector divides the angle into two equal parts. 40 + 40 = 80 degrees Answers will vary depending on the method Answers will vary depending on the method B has a perimeter of 36 cm, the others have perimeters of 40 cm 4b 5 6 7 SS 7.3 c,h h h 3 3 4 Outcome: SS7.3 Demonstrate an understanding of 2-D relationships involving lines and angles. up to Level 1 up to Level 2 up to Level 3 up to Level 4 Description of Levels: (based on Marzano, 2007) Indicators and Learning Targets for each Level: Student-friendly descriptions of learning targets. There is a partial understanding of some of the simpler details and processes. Prior knowledge is understood. No major errors or omissions regarding the simpler details or processes, but major errors or omissions regarding the complex processes may be present. No major errors or omissions regarding any of the information and/or processes that were explicitly taught. This is the target level for proficiency. In addition to level 3 performance, indepth inferences and applications go beyond what was explicitly taught. SS5.5 a -Identify and describe parallel, intersecting, perpendicular, vertical and horizontal lines. SS7.3 a -Identify and describe parallel line segments, perpendicular line segments, perpendicular bisectors, and angle bisectors. SS7.3 f,g,h,i -Construct and explain parallel and perpendicular line segments. -Construct and verify a bisector of a given angle and a perpendicular bisector of a line segment. SS7.3 j -Create and solve problems using geometric constructions. I can identify parallel, intersecting, perpendicular, vertical and horizontal lines. I can identify parallel lines, perpendicular lines, perpendicular bisectors and angle bisectors. I can construct and verify parallel lines, perpendicular lines, angle bisectors and perpendicular lines. I can create designs and solve problems using geometric constructions.