MATH TEST STAR CITY SCHOOL DISTRICT. Geometry / Module 4

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1 MATH TEST STAR CITY SCHOOL DISTRICT Geometry / Module 4 Standard Instructions for the District Administrator/Focus Teacher: Once this test is received, it should be taken to the copier on which it will be mass produced. Make a sample copy and have one person from the district take the test in its entirety. Look closely for any errors. Contact the appropriate math specialist with this information as soon as possible at (501) Eric Waldorf ext Grades K 3 Marilyn Powers ext Grades 4 5 Gigi Bird ext Grades 6 8 Kim Jones ext Algebra I, Algebra II, and Geometry A reference sheet is attached to the back of each interim assessment for Grades 3-8, Algebra I, and Geometry. There is not a reference sheet for Algebra II. The reference sheet should be the last page of each student s test. Arrange the pages appropriately. Use the same rigor of test security as with the state exams. Classroom teachers should not see the test prior to the day of testing. All bubble sheets that are to be scanned MUST have the student's bar code printed on it. Please DO NOT staple, paper clip, or apply Post-It notes to the bubble sheets. These all pose problems when scanning. Once make-up tests are given, please see that those sheets are returned to the scanning site as soon as possible. This data is automatically added to the existing report, and the report updates in seconds. Always check the web portal for the most up-to-date information on student reporting. Please submit a work order under the Support area of the portal if you have any issues with login passwords to the web portal, bubble sheets, etc. Special Instructions for this test: Please remove the answer keys for the multiple choice and open response from the interim assessment when making copies for the students. Students are allowed to use a ruler and a calculator. If you do not have enough rulers, a copy of a ruler can be found on the portal under Secondary Mathematics, Documents, Manipulatives for interim assessments.

2 MATH TEST STAR CITY SCHOOL DISTRICT Geometry / Module 4 Standard Instructions for the Classroom Teacher: Students should use a No. pencil only. Students read all parts of this assessment independently, unless otherwise noted in an Individualized Education Program (IEP). Suggested times for this test are 30 minutes for the Multiple Choice and 15 minutes for the Open Response. Calculators and rulers (inch/centimeter) are recommended tools for every assessment (3rd grade and up). Bubble sheets can be returned in any order; scanning does not require classes or periods to be separated. Please DO NOT staple, paper clip, or apply Post-It notes to the bubble sheets. These all pose problems when scanning. Once make-up tests are given, please see that those sheets are returned to the scanning site as soon as possible. This data is automatically added to the existing report, and the report updates in seconds. Always check the web portal for the most up-to-date information on student reporting. Please ensure that the Assessment ID printed on the barcoded answer sheets matches the Assessment ID on the tests. Special Instructions for this test: The End-Of-Course Mathematics Reference Sheet is attached to the back of the test. "Students, there is an End of Course Mathematics Reference Sheet attached to the back of your test that you can use for help with your calculations. You may also use a ruler and/or calculator during the test."

3 STAR CITY SCHOOL DISTRICT Math / Geometry / Module 4 Assessment ID: Juan attached an L bracket to the wall. He would like to strengthen the support by welding a brace to each end of the bracket, B and K. Name Teacher Period Use the figure below to answer question 3. If BR = 8 in. and RK = 6 in., how long does the brace, BK, need to be? A in. B. 7 in. C. 10 in. D. 14 in.. HK is the angle bisector of JHL. If m HJK = 48º, m JLH = (1x + ), and m LHJ = (8x + 10), what is m JHK? 3. What is the length of RȲ? A mm B. 8 mm C mm D mm Use the figure below to answer question 4. A. 9 B. 37 C. 58 D CN is a median of ΔCOI. Which statement is not necessarily true? A. CN IŌ B. IN NŌ C. IO = IN D. N is the midpoint of IŌ

4 STAR CITY SCHOOL DISTRICT Math Geometry Module 4 Use the figure below to answer question 5. Use the figure below to answer question The back of an envelope is shown in the figure above. What is the length of AB? A. 7 cm B. 7 cm C. 7 3 cm 7. Which proportion could not be used to find EF? D cm A. EF EG = CB CA Use the figure below to answer question 6. B. C. D. EF BA = FG BC BA FG = CB EF EF FG = HI IJ Use the figure below to answer question In the triangle above, what is sin(q)? A. B. C. D What is the approximate length of TḠ if T = 7 and AT = 7 cm? A.. cm B. 7.4 cm C. 1.5 cm D..7 cm

5 STAR CITY SCHOOL DISTRICT Math Geometry Module 4 9. If LN is the perpendicular bisector of OM, what is the length of ON? 11. Stephanie received a card with a picture of her children. She displayed it on her desk. If the length of each edge of the card is 13 1 cm, what is the range of widths that the card can open and still form a triangle? A. 0 cm < w < 7 cm A. 3 B. 5 C. 4 D. 48 B. 0 cm < w < 13 1 cm C cm < w < 7 cm D cm < w < 13 1 cm Use the figure below to answer question 10. Use the diagram below to answer question If NP is an altitude of ΔMNO, what is the length of MO? A. 6 mm B. 15 mm C. 18 mm D. 1 mm 1. The skateboard ramp has a horizontal length of 4 inches and a height of 4 inches. What is the approximate measure of R? A. 9.7 B C D

6 STAR CITY SCHOOL DISTRICT Math Geometry Module 4 Use the figure below to answer question When standing 16 ft. from the base of the flagpole, the angle of elevation to the top of the flagpole is Which segment is an altitude of ΔADF? A. AE B. BF C. CḠ D. DF Use the figure below to answer question 14. What is the approximate height of the flagpole? A. 9.9 ft. B. 1.6 ft. C. 0.5 ft. D. 6.0 ft. 16. Johnny and Mike are playing with a paper football as shown below. 14. Which of the following best describes MO? A. perpendicular bisector B. midsegment C. median D. altitude If the football is in the shape of a right triangle, what is its approximate perimeter? A. 4. cm B. 10. cm C. 11. cm D. 1 cm 4

7 STAR CITY SCHOOL DISTRICT Math Geometry Module Becky will create origami art using a 10" 10" sheet of paper. She will fold the paper along the dotted lines shown below. Use the figure below to answer question 19. What is the length of the fold RM? A. 5 in. B. 5 3 in. C. 5 5 in. 19. An owl, O, and a hawk, H, are sitting on poles watching a mouse, M. The mouse can see each bird at the same angle of elevation. If ΔOLM ΔHAM, which ratio could be used to find tan OML? A. B D. 10 in. 18. A carpenter cuts a board at a 65 angle as shown below. C. D What is the length of the cut to the nearest tenth of an inch? A. 1.6 in. B. 4.5 in. C. 9.8 in. D in. 0. Eric, Vanessa, and Josue play for the Valley Peak hockey team as forwards. During the game, Vanessa positions herself in front of Eric and Josue to form a triangle. If Eric is 10 feet from Vanessa and 15 feet from Josue, which of the following could be the distance from Vanessa to Josue? A. 4 feet B. 14 feet C. 5 feet D. 30 feet 5

8 STAR CITY SCHOOL DISTRICT Open-Response / Geometry / Module 4 Assessment ID: Name Teacher Period GEOMETRY OPEN-RESPONSE ITEM A A. Arkansas Children's Hospital (ACH) in Little Rock is the sixth largest pediatric medical center in the U.S. Assume it is centrally located and equidistance from three large cities: Fayetteville, Jonesboro, and Texarkana. 1. Which special triangle segment would be used to determine the location of ACH in Little Rock? Justify your answer.. Draw or construct the special triangle segment from the three sides of the triangle. Justify your drawing or construction. 3. What is the approximate coordinate location of ACH? Show or explain all of your work. BE SURE TO LABEL YOUR RESPONSES 1,, AND 3. 6

9 STAR CITY SCHOOL DISTRICT Student Answer Document / Geometry / Module 4 Assessment ID: Name Teacher Period A 7

10 GEOMETRY OPEN-RESPONSE ITEM A (T..G.3D) A. Arkansas Children's Hospital (ACH) in Little Rock is the sixth largest pediatric medical center in the U.S. Assume it is centrally located and equidistance from three large cities: Fayetteville, Jonesboro, and Texarkana. 1. Which special triangle segment would be used to determine the location of ACH in Little Rock? Justify your answer.. Draw or construct the special triangle segment from the three sides of the triangle. Justify your drawing or construction. 3. What is the approximate coordinate location of ACH? Show or explain all of your work. BE SURE TO LABEL YOUR RESPONSES 1,, AND 3. RUBRIC FOR GEOMETRY OPEN-RESPONSE ITEM A (T..G.3D) Score Description 4 The student earns 5 points. The response contains no incorrect work. 3 The student earns 3½ 4½ points. The student earns 3 points. 1 The student earns ½ 1½ points or some minimal understanding is shown. 0 The student earns 0 points. No understanding is shown. B Blank No Response. No attempt to answer the item.

11 Solution and Scoring Part Points 1 1 point possible ½ point: Correct answer: perpendicular bisector AND ½ point: Correct justification: 3 points possible Give credit for the following or equivalent. The circumcenter of a triangle is equidistance from the vertices of a triangle. The circumcenter of a triangle is the point of concurrency of the perpendicular bisector of the sides of a triangle. The intersection of the 3 perpendicular bisectors of a triangle is equal distance from the vertices of the triangle. Using perpendicular bisectors to find the location equidistance from all 3 cities. Graphical Solution: Drawn from algebraic calculations Constructed view OR ½ point: Correct and complete perpendicular bisector drawn or constructed from Texarkana to Fayetteville as shown above. AND ½ point: Justification of perpendicular bisector Give credit for the following or equivalent. Graphically with construction arcs as shown in the constructed view above. Note: Not all arcs are shown in this view because of grid size.

12 AND Algebraically using the coordinates (, ) and (1.5, 8) Midpoint:( , ) = ( 3.5, 10 ) = (1.75, 5) Slope: = = 1 m = 1 1 A point on the line passing through (1.75, 5) with a slope of 1 1 is (7.75, 5.5). The equation of the perpendicular bisector between Texarkana and Fayetteville is y = 1 1 x ½ point: Correct and complete perpendicular bisector drawn or constructed from Fayetteville to Jonesboro as shown above. AND ½ point: Justification of perpendicular bisector AND Give credit for the following or equivalent. Graphically with construction arcs as shown in the constructed view above. Note: Not all arcs are shown in this view because of grid size. Algebraically using the coordinates (1.5, 8) and (8, 7.5) Midpoint: ( , ) = ( 9.5, 15.5 ) = (4.75, 7.75) Slope: = = 1 13 m = 13 A point on the line passing through (4.75, 7.75) with a slope of 13 is (4.5, 1.5). The equation of the perpendicular bisector between Fayetteville and Jonesboro is y = 13x 54. ½ point: Correct and complete perpendicular bisector drawn or constructed from Jonesboro to Texarkana as shown above. AND ½ point: Justification of perpendicular bisector 3 1 point possible Give credit for the following or equivalent. Graphically with construction arcs as shown in the constructed view above. Note: Not all arcs are shown in this view because of grid size. Algebraically using the coordinates (8, 7.5) and (, ) Midpoint: ( , ) = ( 10, 9.5 ) = (5, 4.75) Slope: = = 11 1 m = 1 11 A point on the line passing through (5, 4.75) with a slope of 1 11 is (.5, 7.75). The equation of the perpendicular bisector between Jonesboro and Texarkana is y = 1 11 x ½ point: Correct coordinate location: approximately at (4.5, 5.5)

13 AND accept answers between (4.5, 5) and (4.5, 5.5) ½ point: Correct and complete justification of coordinate location. Give credit for the following or equivalent. Looking at the graph: The intersection point of the 3 perpendicular bisectors gives the coordinate location of ACH at approximately (4.5, 5.5). Algebraically: The intersection of the three perpendicular bisectors gives the coordinate location of ACH at approximately at (4.5, 5.5). y = 1 1 x y = 13x 54 y = 1 11 x x = 1 11 x x = x = y = 13(4.556) 54 y = 5.3 (4.56, 5.3)

14 STAR CITY SCHOOL DISTRICT Math / Geometry / Module 4 Answer Key and Alignment Answer SLE 1. C T..G.4. A T..G.3c 3. C M.3.G.5c 4. A T..G.3b 5. C T..G.5a 6. C T..G.6b 7. B M.3.G.5c 8. D T..G.6a 9. C T..G.3d 10. D T..G.3a 11. A T..G. 1. A T..G.6b 13. D T..G.3a 14. B T..G.3e 15. C T..G.6c 16. B T..G.5b 17. C T..G C T..G.6a 19. A T..G.7 0. B T..G.

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