STAAR ZINGERS GRADE 7 MATHEMATICS. Solving the Most-Missed STAAR Test Items NEW TEKS. Use with Your Students!

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1 GRADE 7 MATHEMATICS STAAR ZINGERS NEW TEKS Solving the Most-Missed STAAR Test Items Use with Your Students! Challenging test items engage students. Interactive instruction promotes student thinking. Guided practice builds test-taking confidence. STAAR is a registered trademark of the Teas Education Agenc, which does not endorse this program or its content.

2 STAAR GRADE 7 MATHEMATICS REFERENCE MATERIALS Centimeters LENGTH Customar Metric 1 mile (mi) = 1,760 ards (d) 1 kilometer (km) = 1,000 meters (m) 1 ard (d) = 3 feet (ft) 1 meter (m) = 100 centimeters (cm) 1 foot (ft) = 12 inches (in.) 1 centimeter (cm) = 10 millimeters (mm) VOLUME AND CAPACITY Customar Metric 1 gallon (gal) = 4 quarts (qt) 1 liter (L) = 1,000 milliliters (ml) 1 quart (qt) = 2 pints (pt) 1 pint (pt) = 2 cups (c) 1 cup (c) = 8 fluid ounces (fl oz) WEIGHT AND MASS Customar Metric 1 ton (T) = 2,000 pounds (lb) 1 kilogram (kg) = 1,000 grams (g) 1 pound (lb) = 16 ounces (oz) 1 gram (g) = 1,000 milligrams (mg) Copright 2017 b Sirius Education Solutions LLC. All rights reserved. No part of this work ma be reproduced or distributed in an form or b an means, electronic, mechanical, photocoping, scanning, recording, or stored in a database or retrieval sstem, without the prior written permission of the publisher. STAAR is a registered trademark of the Teas Education Agenc. The Teas Education Agenc does not endorse this program or its content. Sirius Education Solutions LLC is not affiliated with the Teas Education Agenc or the State of Teas. STAAR test questions copright b the Teas Education Agenc. All rights reserved. Printed in Teas. ISBN: Possession of this publication in print format does not entitle users to convert this publication, or an portion of it, into electronic format. Thank ou for respecting the copright and supporting the hard work involved in creating this product.

3 Table of Contents Included in Unlawful to photocop or project without permission Sirius Education Solutions Welcome Letter...ii Using the Grade 7 Mathematics Zingers....iii STAAR Problem-Solving Strategies: 3 Kes to Success.... v Great Griddables...viii 1 Zingers Solving the Most-Missed STAAR Test Items (Spring 2016) Percent Answering Incorrect TEKS Correlations to Grade 7 Math: Readiness Review and Practice Zinger 1 53% 7.3B Lesson 1 2 Zinger 2 49% 7.4D Lesson 2 4 Zinger 3 55% 7.5C Lesson 3 6 Zinger 4 53% 7.5C Lesson 3 8 Page Zinger 5 62% 7.11A Lesson 4 10 Zinger 6 67% 7.11A Lesson 4 12 Zinger 7 59% 7.7A Lesson 6 14 Zinger 8 53% 7.7A Lesson 6 16 Zinger 9 57% 7.9B Lesson 7 18 Zinger 10 70% 7.9B Lesson 7 20 Zinger 11 67% 7.9C Lesson 8 22 Zinger 12 56% 7.9A Lesson 9 24 Zinger 13 74% 7.6I Lesson Zinger 14 48% 7.6G Lesson Zinger 15 55% 7.6C Supporting Success 2 30 Zinger 16 70% 7.11B Supporting Success 5 32 Zinger 17 52% 7.11C Supporting Success 6 34 Zinger 18 64% 7.13A Supporting Success 7 36 Zinger 19 50% 7.13E Supporting Success 9 38 Zinger 20 57% 7.13F Supporting Success On Your Own Mied Readiness Practice (13 STAAR Test Items) TEKS Correlations to Grade 7 Math: Readiness Review and Practice TEKS Date Due Correlations to Grade 7 Math: Readiness Review and Practice 1 7.3B Lesson B Lesson A Lesson A Lesson A Lesson C Lesson H Lesson A Lesson D Lesson C Lesson I Lesson G Lesson A Lesson 9 Done Reference Materials... inside front cover & back cover Table of Contents i

4 Dear Students, There are man important qualities of character and intelligence that the STAAR tests are not designed to measure as this cartoon shows. Qualities Not Measured b STAAR Tests Persistence Curiosit Enthusiasm COURAGE Leadership Creativit Civic-Minded Resourcefulness Sense of Wonder Big-Picture Thinking Compassion Reliabilit Motivation Humor Empath Sense of Beaut Humilit Resilience Positivit What the STAAR Grade 7 Mathematics test does measure is our abilit to solve specific kinds of math problems. The lessons in this workbook will teach ou how to approach and successfull answer STAAR test questions. These skills are fun to learn, so ou will probabl enjo the lessons. Zingers Solving the Most-Missed Test Items Zingers challenge and support all students to think in was that help them solve STAAR problems. Each Zinger presents one of the most difficult released STAAR test items and guides ou to: read for understanding, plan and solve the problem, and reflect on the solution process. Finall, ou practice with a similar test item to appl what ou learned. Practicing Smart Is the Secret to STAAR Success There is a secret to success on the STAAR tests practice, practice, and more practice. However, not all practice is the same... so ou want to practice smart. First, practice with test questions that are likel to appear on the actual STAAR test. That s eas, since this workbook is full of them! Net, focus on our weaknesses the tpes of questions that ou most need to improve. Think of it like this: if our basketball shot needs improvement, ou don t practice dribbling. Instead, ou practice shooting. Focusing on our weaknesses also means analzing each test question ou get wrong. Wh did ou get it wrong? If our basketball shot is off, ou identif what ou are doing wrong (aiming too far left) and correct it with our net shot (aim further right). When ou practice, give each question our full attention. (Take a short break after ou answer the question.) Your attention is a muscle that ou can build b using it, one practice test question at a time. Do ou believe unfocused, slopp practice of our basketball shot will help ou perform during a big game? Your attention is our greatest power. You develop it with practice. Preparing for the STAAR test can actuall be a fun challenge. And when ou practice smart, ou are building life skills at the same time ou prepare for the STAAR test! DsleicKids.net Unlawful to photocop or project without permission Sirius Education Solutions Your partners in STAAR success, The Sirius Education Team ii Welcome Letter

5 Unlawful to photocop or project without permission Using the Grade 7 Mathematics Zingers Challenge Yourself Cover up the instruction and tr to solve the problem on our own. 1 READ and UNDERSTAND Good problem solvers carefull read and reread the problem. Use the interactive questions to help ou identif ke facts such as: What information is given? What does the problem ask for? What ke concepts do ou need? 2 PLAN and SOLVE Eamine what two students think as the attempt to solve the problem. The students often use different methods to solve the problem. The might make mistakes. Correcting these mistakes helps ou avoid making common mistakes on the STAAR test. 1 2 TEKS with full tet ZINGER 13 READ and UNDERSTAND Read the problem carefull. 56% of students missed this one! The dimensions of a triangular prism are shown in the diagram. What is the volume of the triangular prism in cubic centimeters? F 480 cm 3 G 192 cm 3 H 240 cm 3 J 384 cm 3 1. The diagram shows a triangular. 2. The base of the prism is a triangle whose height is centimeters and whose base is centimeters. Another side of the triangle measures centimeters. 3. The height of the triangular prism is centimeters. 4. You are asked to find the area volume of the triangular prism. PLAN and SOLVE Read what each student thinks. Camilla thinks... The Reference Sheet formula for the volume of a prism is V = Bh. B means the area of one of the two base triangles. The area of a triangle is A = 1_ bh = 1_ (6)(4) = So, the volume of the prism is V = Bh = 12(16) = 192. M choice is G. 5. Camilla correctl incorrectl copies the formulas from the Reference Sheet before substituting. Wow, 56% of the students tested missed this problem! 7.9A Solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pramids, and triangular pramids. 6 cm 4 cm 16 cm 5 cm STAAR Grade #14 Fill in the blanks. Nadia thinks... The area of each triangular base is A = 1_ bh = 1_ (6)(4) = So the area of both bases is 2(12) = 24. The volume is the area of the bases times the height, or 24(16) = 384. M choice is J. Circle the answer. 6. Nadia correctl incorrectl finds the area of the triangular bases. 26 Grade 7 Mathematics STAAR Zingers Solving the Most-Missed STAAR Test Items Sirius Education Solutions 3 LOOK BACK What do ou think? What did ou learn from the other students solution processes? Reflecting on the problem will help ou remember it when ou see similar problems on the STAAR test. 4 GUIDED PRACTICE Now it s our turn to solve a similar problem. Use the step-b-step solution to avoid careless errors. With practice, ou can solve the problems most students missed! 5 INDEPENDENT PRACTICE Appl what ou learned with more practice. After this, ou will feel more confident that ou can succeed on the STAAR test. After all, ou just solved one of the hardest problems! LOOK BACK Answer each question. 7. Eplain the mistake that Nadia makes. 8. Compare the meaning of h in V = Bh to the meaning of h in A = 1 2 bh. 9. The correct answer choice is F G H J. GUIDED PRACTICE Read the problem carefull. The dimensions of a square pramid are shown in the diagram. What is the volume of the pramid in cubic centimeters? A 480 cm 3 B 224 cm 3 C 784 cm 3 D 672 cm The formula for the volume of a pramid is V = 1 Bh V = Bh The height of this pramid is centimeters. 12. The base of this pramid is a. The formula for the area of the base, B, is A = bh A = 1 bh, so B = 12(12) 12(14) Substituting into the volume formula gives V = 1 3 (142 )(12) V = 1 3 (122 )(14). 14. The correct answer choice is A B C D. INDEPENDENT PRACTICE Solve each problem. 12 cm 15. The base of a triangular pramid has an area of 20 square feet. The height of the pramid is 36 feet. The volume of the pramid is cubic feet. 16. A wooden block in the shape of a rectangular prism has a base that measures 2 inches b 3 inches. The height of the block is 5 inches. The volume of the block is cubic inches. When taking the STAAR Grade 7 Math test, ou will have both graph paper and scratch paper. You will also have a Reference Sheet that is on the inside of the covers of this workbook. Using the Grade 7 Mathematics Zingers Show our thinking. 14 cm Complete the stepb-step solutions. Zinger iii

6 ZINGER A Model and solve one-variable, two-step equations and inequalities. READ and UNDERSTAND Read the problem carefull. 67% of students missed this one! Walter and Brian each have a CD collection. The number of CDs in Walter s collection can be represented b. The number of CDs in Brian s collection is 3 times the number in Walter s collection. The total number of CDs in both collections is 144. What is, the number of CDs in Walter s collection? STAAR Grade #20 F 108 H 72 G 48 J The variable represents the number of CDs Walter Brian has. 2. You are asked to find the number of CDs Walter Brian has. 3. Brian has times as man CDs as Walter. 4. Together, Walter and Brian have a total of CDs. PLAN and SOLVE Read what each student thinks. Yumiko thinks... = Walter s CDs Brian has 3 times that man, so that s 3. 3 = 144, so = = 48 Walter has 48 CDs. M choice is G. 5. Yumiko s equation 3 = 144 does does not correctl describe the information in the problem. Lourdes thinks... Walter and Brian have a total of 144 CDs. Walter has and Brian has 3 times as man, so Brian has 3. I can write the equation + 3 = 144 or 4 = 144. Then = = 36. M choice is J. 6. Lourdes correctl incorrectl solves the equation + 3 = 144. Unlawful to photocop or project without permission Sirius Education Solutions LOOK BACK Answer each question. 7. Lourdes first writes a description in words and then translates the words into an equation inequalit. 12 Grade 7 Mathematics STAAR Zingers Solving the Most-Missed STAAR Test Items

7 8. Yumiko s equation does not include Walter s Brian s CDs in the total. 9. The correct answer choice is F G H J. Unlawful to photocop or project without permission GUIDED PRACTICE Read the problem carefull. Two teams are participating in a bird count. The Blue team counted birds. The Red team counted twice as man birds as the Blue team. Together, the Blue and Red teams counted 72 birds in all. What is, the number of birds counted b the Blue team? A 36 B 24 C 72 D You are asked to find, which represents the number of birds counted b the Blue Red team. 11. The number of birds counted b the Red team is represented b Together, the Blue and Red teams counted birds in all. This sentence translates to the equation + = = The correct answer choice is A B C D. Sirius Education Solutions INDEPENDENT PRACTICE Solve each problem. 14. Emilia scored points plaing a game. Sarah scored twice as man points as Emilia. Together the scored a total of 9 points. How man points did Emilia score? Emilia scored points. 15. On Saturda, Murph biked miles. On Sunda, he biked 3 times as far as he did on Saturda. His total distance biked for both das was 8 miles. How far did Murph bike on Saturda? Murph biked miles on Saturda. 16. During the first two weeks at his new job, Damian earned a total of $500. He earned dollars during the first week. During the second week, he earned 4 times as much as he did the first week. How much did Damian earn during the first week? Damian earned $ during the first week. Zinger 6 13

8 ZINGER 8 7.7A Represent linear relationships using verbal descriptions, tables, graphs, and equations that simplif to the form = m + b. READ and UNDERSTAND Read the problem carefull. 53% of students missed this one! Which table contains onl values that satisf the equation = ? A B The problem gives the equation and four tables graphs. 2. You are to choose the table that contains onl values of and that make the equation true false. PLAN and SOLVE Read what each student thinks. Ricardo thinks... The equation has the form = m + b, change in so the slope, m, is 0.5. Slope is change in. All of the tables show the same change in, so I ll look at the -values. In table D, the -values begin at 14 and keep increasing b 0.5. M choice is D. C D Sage thinks... I can tell b looking at the equation that when = 0, = 14. I can eliminate A. For = 10, 0.5 is half of 10, or 5. Then I add 14 to find = 19. That eliminates B and D. When I check = 5, 15, and 20 in the equation, I get the -values in table C. M choice is C STAAR Grade #47 Unlawful to photocop or project without permission Sirius Education Solutions 3. Ricardo correctl incorrectl uses the given equation to determine the slope. 4. Sage correctl incorrectl uses mental math to find when = 0 or 10, and then eliminates answer choices. 16 Grade 7 Mathematics STAAR Zingers Solving the Most-Missed STAAR Test Items

9 LOOK BACK Answer each question. 5. Eplain the mistake that Ricardo makes. Unlawful to photocop or project without permission 6. Do ou prefer Ricardo s method of finding slope or Sage s method of substituting -values? Eplain. 7. The correct answer choice is A B C D. GUIDED PRACTICE Read the problem carefull. Which equation best represents the values in the table? F = H = G = 6 J = Substitute = 0 in each equation and find the value of. F = G = H = J = 9. Based on our answers in #8, ou can eliminate answer choices and. Sirius Education Solutions 10. Look at the remaining answer choices. Of the -values in the table, wh is = 12 a good choice to substitute in the remaining equations? 11. The correct answer choice F G H J. INDEPENDENT PRACTICE Solve the problem. 12. Which equation represents the relationship between and shown in the table? 2 13 A = + 11 C = B = + 8 D = Zinger 8 17

10 ZINGER A Solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pramids, and triangular pramids. READ and UNDERSTAND Read the problem carefull. 56% of students missed this one! The dimensions of a triangular prism are shown in the diagram. What is the volume of the triangular prism in cubic centimeters? F 480 cm 3 G 192 cm 3 H 240 cm 3 J 384 cm 3 1. The diagram shows a triangular. 2. The base of the prism is a triangle whose height is centimeters and whose base is measures centimeters. centimeters. Another side of the triangle 3. The height of the triangular prism is centimeters. 4. You are asked to find the area volume of the triangular prism. PLAN and SOLVE Read what each student thinks. Camilla thinks... The Reference Sheet formula for the volume of a prism is V = Bh. B means the area of one of the two base triangles. The area of each of the base triangles is A = 1_ 2 bh = 1_ (6)(4) = So, the volume of the prism is V = Bh = 12(16) = 192. M choice is G. 6 cm 4 cm 16 cm 5 cm STAAR Grade #14 Nadia thinks... The area of each triangular base is A = 1_ bh = 1_ (6)(4) = So the total area of the bases is 2(12) = 24. The volume is the area of the bases times the height, or 24(16) = 384. M choice is J. Unlawful to photocop or project without permission Sirius Education Solutions 5. Camilla correctl incorrectl copies the formulas from the Reference Sheet before substituting. 6. Nadia correctl incorrectl finds the area of the triangular bases. 24 Grade 7 Mathematics STAAR Zingers Solving the Most-Missed STAAR Test Items

11 LOOK BACK Answer each question. 7. Eplain the mistake that Nadia makes. Unlawful to photocop or project without permission 8. Compare the meaning of h in V = Bh to the meaning of h in A = 1 2 bh. 9. The correct answer choice is F G H J. GUIDED PRACTICE Read the problem carefull. The dimensions of a square pramid are shown in the diagram. What is the volume of the pramid in cubic centimeters? A 480 cm 3 B 224 cm 3 C 784 cm 3 D 672 cm 3 12 cm 14 cm 10. The formula for the volume of a pramid is V = 1 Bh V = Bh The height of this pramid is centimeters. Sirius Education Solutions 12. The base of this pramid is a. The formula for the area of the base, B, is A = bh A = 1 bh, so B = 12(12) 12(14) Substituting into the volume formula gives V = 1 3 (142 )(12) V = 1 3 (122 )(14). 14. The correct answer choice is A B C D. INDEPENDENT PRACTICE Solve each problem. 15. The base of a triangular pramid has an area of 20 square feet. The height of the pramid is 36 feet. The volume of the pramid is cubic feet. 16. A wooden block in the shape of a rectangular prism has a base that measures 2 inches b 3 inches. The height of the block is 5 inches. The volume of the block is cubic inches. Zinger 12 25

12 Sirius Education Solutions Zinger ZINGER 8 7.7A Represent linear relationships using verbal descriptions, tables, graphs, and equations that simplif to the form = m + b. READ and UNDERSTAND Read the problem carefull. 53% of students missed this one! Which table contains onl values that satisf the equation = ? A B The problem gives the equation and four tables graphs. 2. You are to choose the table that contains onl values of and that make the equation true false. PLAN and SOLVE Read what each student thinks. Ricardo thinks... The equation has the form = m + b, change in so the slope, m, is 0.5. Slope is change in. All of the tables show the same change in, so I ll look at the -values. In table D, the -values begin at 14 and keep increasing b 0.5. M choice is D. 3. Ricardo correctl incorrectl uses the given equation to determine the slope % C % % D % STAAR Grade #47 = Sage thinks... I can tell b looking at the equation that when = 0, = 14. I can eliminate A. For = 10, 0.5 is half of 10, or 5. Then I add 14 to find = 19. That eliminates B and D. When I check = 5, 15, and 20 in the equation, I get the -values in table C. M choice is C. 4. Sage correctl incorrectl uses mental math to find when = 0 or 10, and then eliminates answer choices. 16 Grade 7 Mathematics STAAR Zingers Solving the Most-Missed STAAR Test Items LOOK BACK Answer each question. 5. Eplain the mistake that Ricardo makes. Sample answer: The -values in each table differ b 5, so the slope in D is 0.5 = 0.1, not Do ou prefer Ricardo s method of finding slope or Sage s method of substituting -values? Eplain. Answers will var. 7. The correct answer choice is A B C D. GUIDED PRACTICE Read the problem carefull. Which equation best represents the values in the table? F = H = 4 3 G = 6 J = Substitute = 0 in each equation and find the value of. F = G = H = J = 9. Based on our answers in #8, ou can eliminate answer choices and. 10. Look at the remaining answer choices. Of the -values in the table, wh is = 12 a good choice to substitute in the remaining equations? The correct answer choice F G H J. INDEPENDENT PRACTICE Solve the problem. 12. Which equation represents the relationship between and shown in the table? A = + 11 C = B = + 8 D = Teachers@SiriusEducationSolutions.com G H (12) and 1 3 (12) are integers. To obtain a cop of the remaining answers to this, Zinger 8 17 Answers to Zingers

13 STAAR GRADE 7 MATHEMATICS REFERENCE MATERIALS LINEAR EQUATIONS Slope-intercept form = m + b 0 Inches Constant of proportionalit k = 1 CIRCUMFERENCE Circle C = 2πr or C = πd 2 AREA Triangle A = 1 h 2 b 3 Rectangle or parallelogram A = bh Trapezoid A = 1 (b + b h ) 4 Circle A = π 2 r VOLUME Prism V = Bh 5 Pramid V = 1 Bh 3 ADDITIONAL INFORMATION 6 Pi π 3.14 or π 22 7 Distance d = rt 7 Simple interest I = P rt Compound interest A = P (1 + r) t 8

14 GRADE 7 MATHEMATICS ZINGERS CONTENTS Visit SiriusEducationSolutions.com for additional STAAR EOC resources. Part 1: ZINGERS Zinger 1 53% Incorrect Zinger 2 49% Incorrect Zinger 3 55% Incorrect Zinger 4 53% Incorrect Zinger 5 62% Incorrect Zinger 6 67% Incorrect Zinger 7 59% Incorrect Zinger 8 53% Incorrect Zinger 9 57% Incorrect Zinger 10 70% Incorrect Zinger 11 67% Incorrect Zinger 12 56% Incorrect Zinger 13 74% Incorrect Zinger 14 48% Incorrect Zinger 15 55% Incorrect Zinger 16 70% Incorrect Zinger 17 52% Incorrect Zinger 18 64% Incorrect Zinger 19 50% Incorrect Zinger 20 57% Incorrect Part 2: ON YOUR OWN 13 Mied Readiness TEKS STAAR Practice Items Use with our class for free! Printed in Teas on reccled paper