Revised for the Most Recent TEKS Student Practice Book Sample Booklet Grade 6 Mathematics (Revised TEKS) Lori Mammen Editorial Director A Research-Based Series for Texas For more than two decades, we have helped you achieve student success on Texas tests by providing the highest quality test-prep materials. With STAAR MASTER ®, we continue our commitment to create research-based content that engages students and makes teaching easier. The TEKS for mathematics have undergone significant changes, and we have revised our STAAR MASTER® Student Practice Books for Math accordingly. The most prominent changes include: • Reorganization of mathematics strands • An all-new strand addressing “Personal Financial Literacy” • An increased depth of understanding as to why and how mathematics processes work STAAR MASTER® Sample Booklet Since 1982 Newly Revised Math! This page may not be reproduced. Revised for the 2014–2015 eligible TEKS R Grades 3–8 arch Ba sed Rese Mathematics The TEKS for mathematics have undergone significant changes, and we have revised our STAAR MASTER® Student Practice Books for Math accordingly. T The most prominent changes include: • Reorganization of mathematics strands • An all-new strand addressing “Personal Financial Literacy” • An increased depth of understanding as to why and how mathematics processes work O Order today and use 2013–2014 funds Sto get a head-start on new changes. Small Pack (15–29 copies) E E Subject E M English Versions M Math, Gr. 3 M M Math, Gr. 4 M M Math, Gr. 5 M M Math, Gr. 6 Math, Gr. 7 M S M Math, Gr. 8 M Spanish Versions M M Math, Gr. 3 M Math, Gr. 4 A M Math, Gr. 5 Class Pack (30–59 copies) School Pack (60+ copies) ® Small Pack (15–29 copies) ClassPractice Pack copies)Pricing School$Pack (60+ copies) $ MASTER $ (30–59 STAAR Student Book Small Pack (15–29 copies) Class Pack (30–59 copies) School Pack (60+ copies) $ Small ECS99041-1529 Pack (15–29 copies) $ ECS99041-1529 ECS99232-1529 $23.99 each ECS99041-1529 ECS99232-1529 ECS99249-1529 ECS99041-1529 ECS99232-1529 ECS99249-1529 ECS99256-1529 ECS99232-1529 ECS99249-1529 ECS99256-1529 ECS99263-1529 ECS99249-1529 ECS99256-1529 ECS99263-1529 ECS99270-1529 $ (30–59 copies) Class ECS99041-3059 Pack $ ECS99041-3059 ECS99232-3059 $20.99 each ECS99041-3059 ECS99232-3059 ECS99249-3059 ECS99041-3059 ECS99232-3059 ECS99249-3059 ECS99256-3059 ECS99232-3059 ECS99249-3059 ECS99256-3059 ECS99263-3059 ECS99249-3059 ECS99256-3059 ECS99263-3059 ECS99270-3059 ECS99546-1529 ECS99522-1529 ECS99546-1529 ECS99539-1529 ECS99546-1529 ECS99546-1529 ECS99546-3059 ECS99522-3059 ECS99546-3059 ECS99539-3059 ECS99546-3059 ECS99546-3059 $Pack (60+ copies) SchoolECS99041-60 $ ECS99041-60 ECS99232-60 $17.99 each ECS99041-60 ECS99232-60 ECS99249-60 ECS99041-60 ECS99232-60 ECS99249-60 ECS99256-60 ECS99232-60 ECS99249-60 ECS99256-60 ECS99263-60 ECS99249-60 ECS99256-60 ECS99263-60 ECS99270-60 ECS99263-60 ECS99270-60 ECS99539-60 ECS99539-60 ECS99546-60 ECS99522-60 ECS99539-60 ECS99546-60 ECS99539-60 ECS99546-60 ECS99546-60 Available Fall 2014—FREE Teacher Guide (a $15.00 value) included with each pack. One free Teacher Guide included for every 30 copies of books when you order 30+ copies. Please note: All pre-publication orders will be shipped as products are released. Availability and delivery dates cannot be guaranteed. Each shipment will be invoiced separately unless you request one invoice. We accept school P.O., . C F Call for more information. Pre-Publication offer ends July 15, 2014 SOLE SOURCE bl d ecslearningsystems.com/staarmaster ECS Learning Systems, Inc. is the SOLE SOURCE for STAAR MASTER® 1.800.688.3224 (t) • 1.877.688.3226 (f) • C-STAAR-FLI-0614 2 © ECS Learning Systems, Inc. STAAR MASTER® Sample Booklet Revised for the Most Recent TEKS Since 1982 3 6 Math Student Practice Book This page may not be reproduced. ecslearningsystems.com © ECS Learning Systems, Inc. 3 STAAR MASTER® Sample Booklet ECS99041 Revised for the Most Recent TEKS Reading • Mathematics • Writing • Social Studies • Science • Algebra I English and Spanish versions This page may not be reproduced. Credible Same ECS quality • based on most recent eligible TEKS and STAAR® test blueprints • practice items marked with complexity level (L, M, or H) • questions labeled with “skill tags” Authentic Fresh Reflects key characteristics of STAAR® Includes challenging, original content • increased rigor • emphasis on readiness standards • more open-ended (griddable) items (mathematics and science) • assessment of process skills within context (mathematics, science, and social studies) • targeted practice in a variety of contexts • range of topics to interest students • clear and consistent page layout • complete answer keys for teachers ecslearningsystems.com We make teaching easier!SM ECS Learning Systems, Inc. P.O. Box 440 • Bulverde, TX 78163-0440 1.800.688.3224 4 © ECS Learning Systems, Inc. STAAR MASTER® Sample Booklet STAAR MASTER Selected pages from ® Student Practice Book Mathematics, Grade 6 for the State of Texas Assessments of Academic Readiness This page may not be reproduced. Teacher Guide Lori Mammen Editorial Director ISBN: 978-1-60539-931-7 Copyright infringement is a violation of Federal Law. © 2014 by ECS Learning Systems, Inc., Bulverde, Texas. All rights reserved. No part of this publication may be reproduced, translated, stored in a retrieval system, or transmitted in any way or by any means (electronic, mechanical, photocopying, recording, or otherwise) without prior written permission from ECS Learning Systems, Inc. Photocopying of graphic organizers by a classroom teacher at a non-profit school who has purchased this publication for his/her own class is permissible. Reproduction of any part of this publication for an entire school or for a school system, by for-profit institutions and tutoring centers, or for commercial sale is strictly prohibited. Printed in the United States of America. STAAR MASTER is a registered trademark of ECS Learning Systems, Inc. Disclaimer Statement ECS Learning Systems, Inc., recommends that the purchaser/user of this publication preview and use his/her own judgment when selecting lessons and activities. Please assess the appropriateness of the content and activities according to grade level and maturity of your students. The responsibility to adhere to safety standards and best professional practices is the duty of the teachers, students, and/or others who use the content of this publication. ECS Learning Systems is not responsible for any damage, to property or person, that results from the performance of the activities in this publication. STAAR is a registered trademark of Texas Education Agency. STAAR MASTER and ECS Learning Systems, Inc., are not affiliated with or sponsored by the Texas Education Agency or the State of Texas. © ECS Learning Systems, Inc. 5 STAAR MASTER® Sample Booklet This page may not be reproduced. ® STAAR MASTER® Student Practice Book, Teacher Guide—Mathematics, Grade 6 6 © ECS Learning Systems, Inc. STAAR MASTER® Sample Booklet What’s Inside the Student Practice Book? The STAAR MASTER® Student Practice Book provides practice and review material for the Mathematics portion of the State of Texas Assessments of Academic Readiness (STAAR®). • The practice items reflect the kinds of problems students might encounter on the actual STAAR assessment. • The practice items cover a broad range of grade-appropriate topics and ideas. • The practice items focus on the 2014–2015 STAAR-eligible Mathematics Texas Essential Knowledge and Skills (Texas Education Agency, 2014) standards. • Each exercise is labeled for easy identification of the TEKS-based reporting category, standard, and expectation addressed in the practice items. Items in the STAAR MASTER Student Practice Book address the following mathematical concepts: 3. One person uses an average of 60 gallons of water per day. On average, how many gallons of water would you expect a family of 4 to use in one week? Record your answer in the boxes. Then fill in the bubbles. Be sure to use the correct place value. . + • • • • • Numerical Representations and Relationships Computations and Algebraic Relationships Geometry and Measurement Data Analysis and Personal Financial Literacy Mathematical Process Standards (not a separate reporting category) Exercise Skills Tags Each exercise is labeled with a “skills tag” (see Figure 1, below) for easy identification of the TEKS-based reporting category, standard, and expectation addressed in the problems. Reporting Category Reporting Category 1 Numerical Representations and Relationships Figure 1: Exercise Skills Tag 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 Figure 2: Griddable Item for Sixth-Grade Mathematics This Teacher Guide includes— • an overview of the Student Practice Book and key characteristics of the STAAR program • descriptions of STAAR MASTER complexity levels Expectation Exercise 8 6.2D: Order a set of rational numbers arising from mathematical and real-world contexts (Readiness Standard) Standard – 0 This page may not be reproduced. • Selected problems are “griddable items” (see Figure 2), which reflects the format used randomly throughout the actual STAAR assessment. (6.1A; 6.1F) This page may not be reproduced. • Several exercises address the same standard/expectation, providing repeated practice for students in a variety of contexts. Griddable Items In addition to multiple-choice items, STAAR Mathematics assessments will also use open-ended questions known as “griddable items.” This type of assessment question allows students to reach the answer without the influence of given answer choices. All STAAR Mathematics assessments will include griddable items. The Grade 6 answer grid will have eight columns, with one column designated for a positive or negative sign and one column designated for a fixed decimal point (see Figure 2, below). Correct answers are positive or negative numbers that range from -9,999.99 to 9,999.99. To indicate their answer, students must appropriately enter the number in the boxes and then fill in the corresponding bubbles. Students will not grid the units (e.g., ft). It is acceptable to grid a zero that does not affect the value of the correct answer. Students must enter a negative sign for a negative number. If the student does not mark a sign, the answer is assumed to be positive. • strategies for test preparation and mathematics instruction • a master list of STAAR-eligible standards and expectations addressed in the Mathematics TEKS • a complete answer key (with corresponding complexity levels for the practice items) © ECS Learning Systems, Inc. ! STAAR MASTER® Math, Grade 6, Teacher Guide 3 STAAR MASTER® Student Practice Book, Teacher Guide—Mathematics, Grade 6 © ECS Learning Systems, Inc. 7 This page may not be reproduced. This page may not be reproduced. STAAR MASTER® Sample Booklet Readiness vs. Supporting Standards The eligible, or tested, TEKS are divided into “readiness standards” and “supporting standards,” with greater emphasis on the former. Readiness standards address broader, deeper ideas and are deemed more critical for students to know. Supporting standards address more narrowly defined ideas and will still be assessed, although not emphasized. The STAAR MASTER® Student Practice Book mirrors this balance of readiness and supporting standards to provide meaningful, authentic student practice for the STAAR® assessment. Rigor What does rigor mean in assessment? For the STAAR program, it means the cognitive complexity of items assesses skills at a greater depth. Also, the test includes more griddable items, allowing students to arrive at answers independently through open-ended response. The STAAR MASTER Student Practice Book provides items written at varying levels of complexity to accommodate the test’s rigor. (Refer to the “Depth of Knowledge” section on this page and Box 1 on page 5 for more information about the levels of complexity in practice items.) Mathematical Process Standards In the STAAR program, mathematical process standards are not tested in isolation under a separate reporting category. These critical skills are now incorporated into the items from eligible TEKS and are reported along with those content standards. Similarly, in the STAAR MASTER Student Practice Book, students are asked to demonstrate processes and tools used in problem solving within the context of practice items for other standards. When one of these skills is incorporated into a practice item, the standard and expectation are identified above the practice item (see Figure 3, below). Alignment According to the mandate of No Child Left Behind (2001), states are required to develop assessments that tightly align to their content standards. To ensure that this requirement is met, states and districts often conduct alignment studies. In such a study, an assessment is compared to the state’s content standards. If an assessment is rigorous, the study will not yield large disparities between the cognitive demands of the expectations and those of the assessment. (6.1E; 6.1F) 3. The table below shows a set of related numbers. a b 5 16 10 31 15 46 20 61 25 76 Which equation best represents the relationship of the numbers in the table? A B C D b = 3a a = 3b + 1 b = 3a + 1 a = b + 11 (6.1E) create and use representations to organize, record, and communicate mathematical ideas Depth of Knowledge Norman Webb’s (2002a) “depth-of-knowledge” model is currently one of the most influential alignment models in the field of education. “Depth of knowledge” describes the degree of complexity of knowledge a curricular item requires. Webb identifies four levels of depth of knowledge: recall (Level 1), skill or concept (Level 2), strategic thinking (Level 3), and extended thinking (Level 4). Distinct cognitive demands occur during each activity, or thinking process, level. The items in the STAAR MASTER Student Practice Book were aligned to the TEKS using a modified version of the “depth-of-knowledge” model (see Box 1, “Descriptions of STAAR MASTER® Complexity Levels,” page 5). During the alignment process, the complexity level of each item (designated “Low,” “Moderate,” or “High”) was determined. The level of each practice item can be found in the Answer Key. (6.1F) analyze mathematical relationships to connect and communicate mathematical ideas Figure 3: Practice Item Testing Mathematical Process Skills 4 © ECS Learning Systems, Inc. ! STAAR MASTER® Math, Grade 6, Teacher Guide STAAR MASTER® Student Practice Book, Teacher Guide—Mathematics, Grade 6 8 © ECS Learning Systems, Inc. STAAR MASTER® Sample Booklet collect and display data, or compare data. Some items also require students to apply low-complexity skills and concepts. Descriptions of STAAR MASTER ® Complexity Levels The following descriptions provide an overview of the three complexity levels used to align the STAAR MASTER® Student Practice Book items to the eligible Mathematics TEKS. Each explanation details the kinds of activities that occur within each level. However, they do not represent all of the possible thought processes for each level. 1. A designer drew the floor plan of a room on a grid as shown below. Low Complexity y 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 x Which point is located inside the room the designer drew? 3) 4— C (5 4 1 Moderate Complexity (M) Moderate-complexity items align with the TEKS at Level 2 of the Webb model. Items of moderate complexity involve both comprehension and the subsequent processing of information. Activities at this level demand more than one step in the reasoning process. Students are asked to determine how to best solve the problem. An item may ask students to generate a table of paired numbers based on a real-life situation. Items may involve using a model to solve a problem. At this cognitive level, students will need to visualize for tasks such as extending patterns and determining nonexamples. Items may involve interpreting information from a simple graph, table, or diagram. Some major concepts represented at this level include classifying geometric figures, determining probability, and using strategies to estimate. Items of this complexity may ask students to classify, organize, observe, W R X S Moderate Complexity Y T High Complexity (H) High-complexity items align with the TEKS at Level 3 and/or Level 4 of the Webb model*. Items of high complexity require students to use strategic, multi-step thinking; develop a deeper understanding of the information; and extend thinking. The problems at this level are non-routine and more abstract. Students are asked to demonstrate more flexible thinking, apply prior knowledge, make and test conjectures, and support their responses. High-complexity items may require students to make generalizations from patterns. Items may involve interpreting information from a complex graph, table, or diagram. At this cognitive level, students will need to justify the reasonableness of a solution process when more than one solution exists. Students will use concepts to solve and explain problems, such as how changes in dimensions affect the volume of a figure. A highcomplexity item may ask students to plan, reason, explain, compare, differentiate, draw conclusions, cite evidence, analyze, synthesize, apply, or prove. Some items also require students to apply low- and/or moderatecomplexity skills and concepts. (6.1A; 6.1B) 3. Izzy has a circular rug that covers about 28 square feet of her bedroom floor. What is the approximate diameter of the rug? A B C D This page may not be reproduced. (6.1A; 6.1D) 1. Mrs. Bowers challenged her math class to use the shapes shown below to create a house using one rectangle and one triangle. The house should have a total area of exactly 16 square inches. This page may not be reproduced. Low Complexity (L) Low-complexity items align with the TEKS at Level 1 of the Webb (2002a) model. Items of low complexity involve recall and reproduction. Activities and problems at this level require routine, single-step methods. An item may ask students to recognize or restate a fact, definition, or term. For example, students may need to identify attributes of a geometric figure. Items of this complexity may require students to follow a basic procedure with clearly defined steps. At this cognitive level, students may need to apply a formula or perform a simple algorithm. Some major concepts represented at this level include arithmetic facts, perimeter, and converting units of measure. A low-complexity item may ask students to identify, recognize, use, or measure information and concepts. (6.1D) High Complexity 3 ft 6 ft 8 ft 14 ft *Note: Although state standards may include expectations that require extended thinking, many large-scale assessment activities are not classified as Level 4. Performance and openended assessment may require activities at Level 4. Box 1: Descriptions of STAAR MASTER ® Complexity Levels © ECS Learning Systems, Inc. ! STAAR MASTER® Math, Grade 6, Teacher Guide 5 STAAR MASTER® Student Practice Book, Teacher Guide—Mathematics, Grade 6 © ECS Learning Systems, Inc. 9 STAAR MASTER® Sample Booklet How to Use This Book Other Suggestions for Instruction Effective Test Preparation What is the most effective way to prepare students for any mathematics competency test? Experienced educators know that the best test preparation includes three critical components— The STAAR MASTER Student Practice Book can serve as a springboard for other effective instructional strategies that help with test preparation. • a strong curriculum that is aligned with the content and skills to be assessed • effective, relevant, and varied instructional methods that allow students to learn content and skills in many different ways This page may not be reproduced. This page may not be reproduced. • targeted practice that familiarizes students with the specific content and format of the test Obviously, a strong curriculum and effective, relevant, and varied instructional methods provide the foundation for all appropriate test preparation. Contrary to what some might believe, merely “teaching the test” performs a great disservice to students. Students must acquire knowledge, practice skills, and have specific educational experiences that can never be included on tests limited by time and in scope. For this reason, resources like the STAAR MASTER® Student Practice Book should never become the heart of the curriculum or replace strong instructional methods. Targeted Practice The STAAR MASTER Student Practice Book does, however, address the final element of effective test preparation (targeted test practice). This book familiarizes students with— • the specific content of Texas’ competency test • the general format of competency tests Group Work Teachers and students can work through selected practice exercises together, noting the kinds of problems and range of problem-solving techniques. They should discuss common errors for each kind of question and strategies for avoiding these errors. Formulating Answers Teachers may encourage students to use scratch work to formulate their own answers on paper rather than simply using mental math or guessing based on the given answer choices. After solving a problem on their own, students can read the given answer choices and determine which one, if any, matches the answer they have recorded. If they cannot find their solution among the given answer choices, they can refer to their scratch work and determine their error. Developing Test Problems Teachers may create additional problems that cover skills in a different way than those provided in the exercises. Teachers and students can also select “testtype” problems from other assigned math exercises. Developing Fundamental Understanding Teachers can promote the recognition of mathematics in everyday life by developing problems relevant to students’ daily experiences in the classroom and at home. Working through problems that relate directly to students’ experiences fosters understanding of underlying processes and mathematical tools. When students become familiar with both the content and the format of a test, they know what to expect on the actual test. This, in turn, improves their chances for success. Using STAAR MASTER® Products Used as part of the regular curriculum, the STAAR MASTER Student Practice Book allows teachers to— • pretest skills students need for the actual test • determine students’ areas of strength and/or weakness • provide meaningful test-taking practice for students • ease students’ test anxiety • communicate test expectations and content to parents 6 © ECS Learning Systems, Inc. ! STAAR MASTER® Math, Grade 6, Teacher Guide STAAR MASTER® Student Practice Book, Teacher Guide—Mathematics, Grade 6 10 © ECS Learning Systems, Inc. STAAR MASTER® Sample Booklet Answer Key $:?1 F :8;71C5?D 71A17> -;;1-= 59 ;-=19?41>1> " Reporting Category 1 Exercise 1 1. D (L) 2. B (L) 5. C (L) 3. D (L) Exercise 2 1. B (L) 2. C (L) 5. B (L) 6. D (L) 3. B (L) Exercise 3 1. D (L) 2. A (L) 5. B (M) 6. C (L) 3. D (L) Exercise 4 1. C (M) 2. D (M) 4. C (L) 4. C (L) #:01=-?1 Exercise 18 1. B (M) 2. D (L) 3. C (L) 4. B (M) Exercise 19 1. D (M) 2. D (M) 3. C (M) 4. A (M) Exercise 20 1. C (M) 2. B (M) 3. B (M) Exercise 21 1. A (M) 2. B (M) 3. B (M) 4. C (H) 3. C (M) 4. A (M) Exercise 22 1. D (M) 2. B (M) 5. C (M) 4. C (M) Exercise 23 1. C (M) 2. C (M) 3. C (M) 4. A (M) Exercise 24 1. C (M) 2. C (M) 5 A ) 3. D (M) 3. B (M) 4. D (M) ) 3. C (M) Exercise 6 534 This page may not be reproduced. Exercise 5 1. B (M) 2. B (M) 5. C (M) 4. A (L) ":B # 2 2 2 2 2 2 STAAR MASTER Mathematics References ® *All Web sites listed were active at time of publication. 2 Council of Chief State School Officers & National Governors Association Center for Best Practices. (2010, June 2). Common Core State Standards for mathematics. Retrieved March 11, 2011, from Common Core 2 State Standards Initiative Web site: http://www.corestandards.org/assets/CCSSI_Math%20Standards.pdf 2 2 Hess, K. K. (2006). Applying Webb’s depth-of-knowledge and NAEP levels of complexity in mathematics. Retrieved March 23, 2011, from National Center for the Improvement 2 of Educational Assessment (NCIEA) Web site: http://www.nciea.org/publications/DOKmath_KH08.pdf Hess, K. K. (2006). Cognitive complexity: Applying Webb DOK levels to Bloom’s taxonomy. Retrieved March 11, 2011, from National Center for the Improvement of Educational Assessment (NCIEA) Web site: http://www.nciea.org/publications/DOK_ApplyingWebb_KH08.pdf National Assessment Governing Board. (2010, September). Mathematics framework for the 2013 National Assessment of Educational Progress. Retrieved June 23, 2014, from National Assessment Governing Board, U.S. Department of Education Web site: http://www.nagb.org/content/nagb/assets/documents/ publications/frameworks/math-2013-framework.pdf No Child Left Behind Act of 2001, 20 U.S.C § 6311 et seq. (2001). T STAAR MASTER® Student Practice Book, Teacher Guide—Mathematics, Grade 6 © ECS Learning Systems, Inc. 11 STAAR MASTER® Sample Booklet STAAR MASTER Selected pages from ® Student Practice Book Mathematics, Grade 6 This page may not be reproduced. for the State of Texas Assessments of Academic Readiness Lori Mammen Editorial Director ISBN: 978-1-60539-925-6 Copyright infringement is a violation of Federal Law. © 2014 by ECS Learning Systems, Inc., Bulverde, Texas. All rights reserved. No part of this publication may be reproduced, translated, stored in a retrieval system, or transmitted in any way or by any means (electronic, mechanical, photocopying, recording, or otherwise) without prior written permission from ECS Learning Systems, Inc. Reproduction of any part of this publication for an entire school or for a school system, by for-profit institutions and tutoring centers, or for commercial sale is strictly prohibited. Printed in the United States of America. STAAR MASTER is a registered trademark of ECS Learning Systems, Inc. Disclaimer Statement ECS Learning Systems, Inc., recommends that the purchaser/user of this publication preview and use his/her own judgment when selecting lessons and activities. Please assess the appropriateness of the content and activities according to grade level and maturity of your students. The responsibility to adhere to safety standards and best professional practices is the duty of the teachers, students, and/or others who use the content of this publication. ECS Learning Systems is not responsible for any damage, to property or person, that results from the performance of the activities in this publication. STAAR is a registered trademark of Texas Education Agency. STAAR MASTER and ECS Learning Systems, Inc., are not affiliated with or sponsored by the Texas Education Agency or the State of Texas. 12 © ECS Learning Systems, Inc. STAAR MASTER® Sample Booklet Table of Contents Mathematics Chart Reporting Category 1 Numerical Representations and Relationships Reporting Category 2 Computations and Algebraic Relationships Reporting Category 3 Geometry and Measurement Reporting Category 4 Data Analysis and Personal Financial Literacy This page may not be reproduced. ECS Learning Systems, Inc. P. O. Box 440 Bulverde, TX 78163-0440 ecslearningsystems.com 1.800.688.3224 (t) 1.877.688.3226 (f ) [email protected] STAAR MASTER® Student Practice Book—Mathematics, Grade 6 © ECS Learning Systems, Inc. 13 STAAR MASTER® Sample Booklet Reporting Category 1 Numerical Representations and Relationships Exercise 8 6.2D: Order a set of rational numbers arising from mathematical and real-world contexts (Readiness Standard) (6.1F) (6.1A; 6.1D; 6.1F) 1. Taryn has four pieces of ribbon with 3. A recipe for trail mix is shown below. 1 foot, 0.4 foot, the lengths of — Trail Mix Recipe 2 2 foot, and 1.04 feet. Which of the — 3 ! following lists the ribbon lengths in ! This page may not be reproduced. This page may not be reproduced. order from least to greatest? ! 1 ft A 0.4 ft — 2 2 ft B 1.04 ft — 3 1 2 ft C — ft — 2 3 2 ft — 3 1 ft — 2 1.04 ft 0.4 ft 1.04 ft D 1.04 ft 0.4 ft 2 ft — 3 1 ft — 2 2. Which of the numbers below would come first if they were listed in order from least to greatest? 0.41 41.0 0.041 1.1 c dried cranberries 1 c roasted peanuts 1— 3 0.4 ft (6.1F) 4.1 ! 1 c almonds 1— 2 1.75 c raisins 4 — 10 1.4 A 0.41 4 B — Which ingredient requires the least amount in the recipe? A B C D Almonds Dried cranberries Raisins Roasted peanuts (6.1A; 6.1F) 4. A coach records the batting averages of the players on his baseball team. The batting averages of the first four players in the lineup are shown below. 10 0.255 C 0.041 D 1.4 STAAR MASTER® Student Practice Book—Math, Grade 6 0.126 0.162 Which of the following lists the batting averages in order from least to greatest? A B C D 14 0.261 0.255 0.261 0.126 0.162 0.261 0.255 0.162 0.126 0.126 0.162 0.255 0.261 © ECS Learning Systems, Inc. STAAR MASTER® Student Practice Book—Mathematics, Grade 6 14 © ECS Learning Systems, Inc. 0.162 0.126 0.261 0.255 STAAR MASTER® Sample Booklet Reporting Category 2 Computations and Algebraic Relationships Exercise 13 6.4A: Compare two rules verbally, numerically, graphically, and symbolically in the form of 7 = ax or y = x + a in order to differentiate between additive and multiplicative relationships (Supporting Standard) Use the following information to answer questions 1–3. (6.1A; 6.1D; 6.1F) The tables below show the total number of hours that Janie and Philip spend in an after-school class over a 4-week period. 2. In the expression below, Philip used n to represent the number of weeks he attended art class. He used the expression to find the total number of hours he spent in class. Janie’s Ballet Class 2n Number of Weeks Total Hours 1 2 3 4 3 6 9 12 Total Hours 1 2 3 4 2 4 6 8 2n 3n n+2 n+3 (6.1A; 6.1D; 6.1F) (6.1A; 6.1D; 6.1G) 1. Which statement correctly compares the total amount of time Janie spends in ballet class and the total amount of time Philip spends in art class each week? A Janie spends one hour more in ballet class than Philip spends in art class each week. B Janie spends two hours more in ballet class than Philip spends in art class each week. C Janie spends four hours more in ballet class than Philip spends in art class each week. D Janie spends twice as much time in ballet class as Philip spends in art class each week. © ECS Learning Systems, Inc. 3. Janie and Philip extended their tables to show the total amount of time they spent in their classes after 5 weeks. What was the difference between their total times at the end of 5 weeks? A B C D This page may not be reproduced. Number of Weeks A B C D This page may not be reproduced. Philip’s Art Class Which expression could Janie use to represent the number of weeks she attended ballet class? 2 hr 3 hr 4 hr 5 hr STAAR MASTER® Student Practice Book—Math, Grade 6 49 STAAR MASTER® Student Practice Book—Mathematics, Grade 6 © ECS Learning Systems, Inc. 15 STAAR MASTER® Sample Booklet Reporting Category 3 Geometry and Measurement Exercise 10 6.8D: Determine solutions for problems involving area of rectangles, parallelograms, trapezoids, and triangles, and volume of right rectangular prisms where dimensions are positive rational numbers (6.1D) (6.1A; 6.1F) 1. Mrs. Bowers challenged her math class to use the shapes shown below to create a house using one rectangle and one triangle. The house should have a total area of exactly 16 square inches. This page may not be reproduced. This page may not be reproduced. W R X S Y 2. A rectangular swimming pool is 20 feet long, 15 feet wide, and 6 feet deep. How much water is needed to fill the pool completely? A B C D 41ft3 300 ft3 1,800 ft3 3,600 ft3 (6.1A; 6.1D; 6.1F) 3. Mr. Garcia created a triangular flowerbed like the one shown below. T 16 in. Scale: = 1 in. Which of the following choices will work? A B C D 74 Triangle X with Rectangle R Triangle W with Rectangle T Triangle X with Rectangle T Triangle Y with Rectangle S STAAR MASTER® Student Practice Book—Math, Grade 6 20 in. 12 in. What is the area of the flowerbed? A B C D 96 in.2 160 in.2 192 in.2 3,840 in.2 © ECS Learning Systems, Inc. STAAR MASTER® Student Practice Book—Mathematics, Grade 6 16 © ECS Learning Systems, Inc. STAAR MASTER® Sample Booklet Reporting Category 4 Data Analysis and Personal Financial Literacy Exercise 11 6.13A: Interpret numeric data summarized in dot plots, stem-and-leaf plots, histograms, and box plots (Readiness Standard) Use the information below to answer questions 1–3. The stem-and-leaf plot below shows the ages of people attending a family reunion. Stem 0 2 1 0 1 0 0 1 6 1 2 1 0 1 1 2 2 1 3 2 2 2 2 3 3 6 2 3 3 2 7 4 7 3 3 3 2 8 5 6 7 4 9 6 6 8 5 7 7 9 6 9 9 9 6 7 8 9 9 (6.1D; 6.1E) 1. How many people between the ages of 25 and 55 attended the family reunion? A B C D 9 7 4 6 6 4 This page may not be reproduced. (6.1D; 6.1E) 8 7 3 4 3 3 4 30 34 42 3. What was the median age of those who attended the family reunion? A B C D This page may not be reproduced. 1 2 3 4 5 6 7 8 9 Leaf 40 years 42 years 46 years 64 years (6.1D; 6.1E) 2. What was the range in the ages of those who attended the family reunion? A B C D 10 years 77 years 80 years 86 years © ECS Learning Systems, Inc. STAAR MASTER® Student Practice Book—Math, Grade 6 103 STAAR MASTER® Student Practice Book—Mathematics, Grade 6 © ECS Learning Systems, Inc. 17 STAAR MASTER® Sample Booklet It’s On The Test From TestSMART ® Student Practice Books to elementary-level skills practice, ECS has all the test preparation materials you need. ECS1057 ECS1065 ECS1049 BH88931 BH88932 BH88933 BH88934 BH88941 BH88942 BH88943 BH88944 BH88951 BH88952 BH88953 BH88954 BH88955 BH88956 BH88957 BH88958 BH88959 Math TestSMART® Math Concepts Gr. 3 TestSMART® Math Operations & Problem Solving Gr. 3 TestSMART® Math Concepts Gr. 4 TestSMART® Math Operations & Problem Solving Gr. 4 TestSMART® Math Concepts Gr. 5 TestSMART® Math Operations & Problem Solving Gr. 5 TestSMART® Math Concepts Gr. 6 TestSMART® Math Operations & Problem Solving Gr. 6 TestSMART® Math Concepts Gr. 7 TestSMART® Math Operations & Problem Solving Gr. 7 TestSMART® Math Concepts Gr. 8 TestSMART® Math Operations & Problem Solving Gr. 8 Math Whiz Kids™ at the Amusement Park Gr. 3–5 Math Whiz Kids™ at Home Gr. 3–5 Math Whiz Kids™ at the Mall Gr. 3–5 Math Whiz Kids™ at the Zoo Gr. 3–5 Dot-to-Dot 1–100+ Gr. 2–4 Math Art Gr. 1–2 Math Art Gr. 2–3 Multiplication Dot-to-Dot Gr. 3–4 Math Drill, Practice & Apply Gr. 1–2 Math Drill, Practice & Apply Gr. 2–3 Math Drill, Practice & Apply Gr. 3–4 Math Drill, Practice & Apply Gr. 4–5 First Number Skills Gr. K–1 Time & Money Skills Gr. 1–2 Number Facts to 10 Gr. 1–2 Basic Facts to 18 Gr. 2–3 Regrouping Skills Gr. 2–3 Multiplication Facts Gr. 3–4 Multiplication Skills Gr. 3–5 Place Value Gr. 1–2 Fraction Basics Gr. 2–3 ECS2363 ECS1987 ECS1995 ECS2002 ECS2010 ECS2029 ECS2037 ECS91373 ECS8414 Reading TestSMART® Reading Gr. 2 TestSMART® Reading Gr. 3 TestSMART® Reading Gr. 4 TestSMART® Reading Gr. 5 TestSMART® Reading Gr. 6 TestSMART® Reading Gr. 7 TestSMART® Reading Gr. 8 An Introduction to POWer Words™ Gr. 4 POWer Words™ Gr. 5–6 ECS2401 ECS241X ECS2428 ECS2436 ECS2444 ECS2452 ECS2460 ECS2479 ECS2487 ECS2495 ECS2509 ECS2517 This page may not be reproduced. ECS1030 ECS5214 ECS5494 BH88891 BH88892 BH88893 BH88894 BH88901 BH88902 BH88903 BH88904 BH88905 BH88911 BH88912 BH88913 BH88914 BH88915 BH88918 BH88919 BH88920 BH88961 BH88962 BH88963 BH88972 BH88973 BH88981 BH88982 BH88983 BH88984 BH88985 BH88986 BH88991 BH88992 BH88994 BH88995 BH88996 BH88997 BH88998 BH88999 NU783XRH NU8437RH NU5524RH NU5958RH ECS6564 ECS6571 POWer Words™ Gr. 7–8 POWer Words™ Gr. 9–12 Plurals & Possessives Gr. 2–3 Prefixes, Suffixes, Root Words Gr. 2–3 Synonyms, Antonyms, and Homonyms Gr. 2–3 Analogies & Multiple Meanings Gr. 2–3 Alphabet Skills Gr. K–1 Consonant Sounds Gr. K–1 Vowel Sounds Gr. 1–2 Rhyming Words Gr. 1–2 Sight Words Gr. 1–2 Sight Word Stories Gr. K–2 Sight Word Rhymes Gr. K–2 Sight Words Word Search Gr. K–2 Wall Words Word Search Gr. 1–2 My First Crosswords Gr. 1–2 Sight Words in Context Gr. K–2 Rhyming Words in Context Gr. K–2 Word Endings in Context Gr. K–2 Poems & Rhymes Gr. 1–2 Fairy Tales Gr. 2–3 Fables & Tall Tales Gr. 3–4 Animals Gr. 1–2 Space, Stars, & Planets Gr. 3–4 The 5 W’s: Who? What? Where? When? Why? Gr. 1–3 Getting the Sequence Gr. 1–3 Main Idea and Details Gr. 1–3 Fact and Opinion Gr. 1–3 Drawing Conclusions and Inferences Gr. 1–3 Context Clues Gr. 1–3 My First Sight Words Gr. K–1 Mastering Sight Words Gr. 1–2 Consonants Gr. K–1 Blends & Digraphs Gr. 1–2 Short Vowels Gr. 1–2 Long Vowels Gr. 1–2 Rhyming Words Gr. 1–2 Compounds & Contractions Gr. 1–2 Graphic Organizer Collection Reacting to Literature: Writing Activities for Every Book Gr. 6–8 Reacting to Literature: Writing Activities for Every Book Gr. 9–12 Tackling Literary Terms Gr. 9–12 POWer Strategies™ for Reading Comprehension Gr. 3–5 POWer Strategies™ for Reading Comprehension Gr. 6–8 ECS3645 ECS3580 ECS3599 ECS3602 ECS3610 ECS3629 ECS3637 ECS9072 ECS9455 ECS9463 ECS0484 ECS9900 ECS0476 BH88925 BH88926 BH88927 ECS2371 ECS238X ESC2398 Writing TestSMART® Language Arts Gr. 2 TestSMART® Language Arts Gr. 3 TestSMART® Language Arts Gr. 4 TestSMART® Language Arts Gr. 5 TestSMART® Language Arts Gr. 6 TestSMART® Language Arts Gr. 7 TestSMART® Language Arts Gr. 8 Writing Warm-Ups™ Gr. K–6 Writing Warm-Ups Two™ Gr. K–6 Writing Warm-Ups Two™ Gr. 7–12 Not More Writing?! Gr. 9–12 Foundations for Writing Bk. I Gr. K–2 Foundations for Writing Bk. II Gr. 3–8 Scrambled Sentences Gr. 1–2 Writing Sentences Gr. 2–3 Writing Paragraphs Gr. 3–4 Grammar Notebook Book 1 Gr. 9–12 Grammar Notebook Book 2 Gr. 9–12 Grammar Notebook Book 3 Gr. 9–12 BH1469 BH1477 BH1493 BH1485 BH140X BH1418 BH1426 BH1442 BH1434 Spanish-Reading The 5 W’s: Who? What? Where? When? Why? Gr. 1–3 Getting the Sequence Gr. 1–3 Main Idea and Details Gr. 1–3 Fact and Opinion Gr. 1–3 Drawing Conclusions and Inferences Gr. 1–3 The 5 W’s & H Gr. 4–5 Getting the Sequence Gr. 4–5 Main Idea & Details Gr. 4–5 Fact & Opinion Gr. 4–5 Drawing Conclusions & Inferences Gr. 4–5 BH1639 BH1646 BH1653 BH1660 BH1592 BH1608 BH1615 BH1622 BH1507 BH1515 BH1523 BH1530 BH1547 BH1554 BH1578 BH1585 BH1561 Spanish-Math Dot-to-Dot 1–100+ Gr. 2–4 Math Art Gr. 1–2 Math Art Gr. 2–3 Multiplication Dot-to-Dot Gr. 3–4 Math Drill, Practice & Apply Gr. 1–2 Math Drill, Practice & Apply Gr. 2–3 Math Drill, Practice & Apply Gr. 3–4 Math Drill, Practice & Apply Gr. 4–5 First Number Skills Gr. K–1 Time & Money Skills Gr. 1–2 Number Facts to 10 Gr. 1–2 Basic Facts to 18 Gr. 2–3 Regrouping Skills Gr. 2–3 Multiplication Facts Gr. 3–4 Place Value Gr. 1–2 Fraction Basics Gr. 2–3 Multiplication Skills Gr. 3–5 BH1450 Need leveled, thematic kits? Elementary • Middle • High School Fiction • Nonfiction Get Reading!!™ kits use the best of young people’s literature to emphasize common elements among three literature selections. Ideal for RTI and leveled assessment, Get Reading!!™ helps you reinforce important skills in reading and literature at the same time. TestSMART® books are used by thousands of teachers nationwide. TestSMART® practice items are correlated to skills tested on major state-mandated tests for states such as CA, FL, GA, IL, NJ, NY, NC, OH, PA, SC, TX, VA, etc. www.ecslearningsystems.com 800.688.3224 • [email protected] 18 © ECS Learning Systems, Inc. Rev. 03/11 SMIBC STAAR MASTER® Sample Booklet Trade Up to and save! • You want results? • Not satisfied with other STAAR®-prep material you are using? • Do your students need more challenging questions and increased rigor? “We used STAAR MASTER® [Student Practice Books] in grades 3–6 for STAAR® preparation with great results! 98% passed!!” Carol C., Elementary Teacher from DFW area This page may not be reproduced. Now you can take advantage of the Trade Up to STAAR MASTER ® offer and receive 30% off your STAAR MASTER order. For a limited time, you can Trade In STAAR-prep material from another publisher and Trade Up to the popular STAAR MASTER products. Thousands of Texas teachers use STAAR MASTER products and love the materials. Please contact our Customer Care Department today at 1.800.688.3224 or [email protected] and find out how you can save 30% on your STAAR MASTER order when you “Trade Up to STAAR MASTER.” Act now. This is a limited time offer. 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