TEKS Practice - Macmillan/McGraw-Hill
Transcription
TEKS Practice - Macmillan/McGraw-Hill
Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without prior permission of the publisher. Send all inquiries to: Macmillan/McGraw-Hill 8787 Orion Place Columbus, OH 43240-4027 ISBN: 978-0-02-106094-8 MHID: 0-02-106094-0 Printed in the United States of America. 6 7 8 9 10 079 15 14 13 12 11 10 09 Preparing for the TAKS, Grade 2 Contents TEKS Grade 2 Student Expectations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iv Diagnostic Test Student Recording Sheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix Mastery of Objectives Chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi To the Student: Answering Multiple Choice Questions . . . . . . . . . . . . . . . . . . . . . . 1 Diagnostic Test. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 TEKS Practice Objective 1: Numbers, Operations, and Quantitative Reasoning . . . . . . . . . . . . . . . . . . 25 Objective 2: Patterns, Relationships, and Algebraic Thinking . . . . . . . . . . . . . . . . . . . . 38 Objective 3: Geometry and Spatial Reasoning . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 Objective 4: Measurement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Objective 5: Probability and Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 Objective 6: Underlying Processes and Mathematical Tools . . . . . . . . . . . . . . . . . . . . 58 TEKS Quiz Objective 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 TEKS Quiz Objective 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 TEKS Quiz Objective 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 TEKS Quiz Objective 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 TEKS Quiz Objective 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 TEKS Quiz Objective 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 Midyear Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 Preparing for the TAKS, Grade 2 iii Texas Essential Knowledge and Skills Grade 2 Mathematics TEKS Grade 2 Student Expectations OBJECTIVE 1: NUMBERS, OPERATIONS, AND QUANTITATIVE REASONING The student will demonstrate an understanding of numbers, operations, and quantitative reasoning. (2.1) The student understands how place value is used to represent whole numbers. The student is expected to: (A) use concrete models of hundreds, tens, and ones to represent a given whole number (up to 999) in various ways; (B) use place value to read, write, and describe the value of whole numbers to 999; and (C) use place value to compare and order whole numbers to 999 and record the comparisons using numbers and symbols (<, =, >). (2.2) The student describes how fractions are used to name parts of whole objects or sets of objects. The student is expected to: (A) use concrete models to represent and name fractional parts of a whole object (with denominators of 12 or less); (B) use concrete models to represent and name fractional parts of a set of objects (with denominators of 12 or less); and (C) use concrete models to determine if a fractional part of a whole is closer to 0, ½, or 1. (2.3) The student adds and subtracts whole numbers to solve problems. The student is expected to: (B) model addition and subtraction of two-digit numbers with objects, pictures, words, and numbers; (C) select addition or subtraction to solve problems using two-digit numbers, whether or not regrouping is necessary; (D) determine the value of a collection of coins up to one dollar; and (E) describe how the cent symbol, dollar symbol, and the decimal point are used to name the value of a collection of coins. iv Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. (A) recall and apply basic addition and subtraction facts (to 18); Texas Essential Knowledge and Skills Grade 2 Mathematics (continued) TEKS Grade 2 Student Expectations (2.4) The student models multiplication and division. The student is expected to: (A) model, create, and describe multiplication situations in which equivalent sets of concrete objects are joined; and (B) model, create, and describe division situations in which a set of concrete objects is separated into equivalent sets. OBJECTIVE 2: PATTERNS, RELATIONSHIPS, AND ALGEBRAIC THINKING The student will demonstrate an understanding of patterns, relationships, and algebraic reasoning. (2.5) The student uses patterns in numbers and operations. The student is expected to: (A) find patterns in numbers such as in a 100s chart; (B) use patterns in place value to compare and order whole numbers through 999; and (C) use patterns and relationships to develop strategies to remember basic addition and subtraction facts. Determine patterns in related addition and subtraction number sentences (including fact families) such as 8 + 9 = 17, 9 + 8 = 17, 17 – 8 = 9, and 17 – 9 = 8. (2.6) The student uses patterns to describe relationships and make predictions. The student is expected to: (A) generate a list of paired numbers based on a real-life situation such as number of tricycles Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. related to number of wheels; (B) identify patterns in a list of related number pairs based on a real-life situation and extend the list; and (C) identify, describe, and extend repeating and additive patterns to make predictions and solve problems. OBJECTIVE 3: GEOMETRY AND SPATIAL REASONING The student will demonstrate an understanding of geometry and spatial reasoning. (2.7) The student uses attributes to identify two- and three-dimensional geometric figures. The student compares and contrasts two- and three-dimensional geometric figures or both. The student is expected to: (A) describe attributes (the number of vertices, faces, edges, sides) of two- and three-dimensional geometric figures such as circles, polygons, spheres, cones, cylinders, prisms, and pyramids, etc.; (B) use attributes to describe how 2 two-dimensional figures or 2 three-dimensional geometric figures are alike or different; and (C) cut two-dimensional geometric figures apart and identify the new geometric figures formed. (2.8) The student recognizes that a line can be used to represent a set of numbers and its properties. The student is expected to use whole numbers to locate and name points on a number line. Preparing for the TAKS, Grade 2 v Texas Essential Knowledge and Skills Grade 2 Mathematics (continued) TEKS Grade 2 Student Expectations OBJECTIVE 4: MEASUREMENT The student will demonstrate an understanding of the concepts and uses of measurement. (2.9) The student directly compares the attributes of length, area, weight/mass, and capacity, and uses comparative language to solve problems and answer questions. The student selects and uses nonstandard units to describe length, area, capacity, and weight/mass. The student recognizes and uses models that approximate standard units (from both SI, also known as metric, and customary systems) of length, weight/mass, capacity, and time. The student is expected to: (A) identify concrete models that approximate standard units of length and use them to measure length; (B) select a non-standard unit of measure such as square tiles to determine the area of a two- dimensional surface; (C) select a non-standard unit of measure such as a bathroom cup or a jar to determine the capacity of a given container; and (D) select a non-standard unit of measure such as beans or marbles to determine the weight/mass of a given object. (2.10) The student uses standard tools to estimate and measure time and temperature (in degrees Fahrenheit). The student is expected to: (A) read a thermometer to gather data; (C) describe activities that take approximately one second, one minute, and one hour. OBJECTIVE 5: PROBABILITY AND STATISTICS The student will demonstrate an understanding of probability and statistics. (2.11) The student organizes data to make it useful for interpreting information. The student is expected to: (A) construct picture graphs and bar-type graphs; (B) draw conclusions and answer questions based on picture graphs and bar-type graphs; and (C) use data to describe events as more likely or less likely such as drawing a certain color crayon from a bag of seven red crayons and three green crayons. vi Preparing for the TAKS, Grade 2 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. (B) read and write times shown on analog and digital clocks using five-minute increments; and Texas Essential Knowledge and Skills Grade 2 Mathematics (continued) TEKS Grade 2 Student Expectations OBJECTIVE 6: UNDERLYING PROCESSES AND MATHEMATICAL TOOLS The student will demonstrate an understanding of the mathematical processes and tools used in problem solving. (2.12) The student applies Grade 2 mathematics to solve problems connected to everyday experiences and activities in and outside of school. The student is expected to: (A) identify the mathematics in everyday situations; (B) solve problems with guidance that incorporates the processes of understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness; (C) select or develop an appropriate problem-solving plan or strategy including drawing a picture, looking for a pattern, systematic guessing and checking, or acting it out in order to solve a problem; and (D) use tools such as real objects, manipulatives, and technology to solve problems. (2.13) The student communicates about Grade 2 mathematics using informal language. The student is expected to: (A) explain and record observations using objects, words, pictures, numbers, and technology; and Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. (B) relate informal language to mathematical language and symbols. (2.14) The student uses logical reasoning. The student is expected to justify his or her thinking using objects, words, pictures, numbers, and technology. Preparing for the TAKS, Grade 2 vii Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Name Date Diagnostic Test Student Recording Sheet Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Color in the bubble for each question that you answered correctly on the Diagnostic Test. For each question you did not answer correctly, your teacher may ask you to do the exercises on the practice sheet prescribed. Question TEKS Assessed Practice Page 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 (2.1)(A) (2.1)(B) (2.1)(C) (2.2)(A) (2.2)(B) (2.2)(C) (2.3)(A) (2.3)(B) (2.3)(C) (2.3)(D) (2.3)(E) (2.4)(A) (2.4)(B) (2.5)(A) (2.5)(B) (2.5)(C) (2.6)(A) (2.6)(B) (2.6)(C) (2.7)(A) 25-27 25-27 25-27 28-30 28-30 28-30 31-35 31-35 31-35 31-35 31-35 36-37 36-37 38-40 38-40 38-40 41-43 41-43 41-43 44-46 Question 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 TEKS Assessed Practice Page (2.7)(B) (2.7)(C) (2.8) (2.9)(A) (2.9)(B) (2.9)(C) (2.9)(D) (2.10)(A) (2.10)(B) (2.10)(C) (2.11)(B) (2.11)(A) (2.11)(C) (2.12)(A) (2.12)(B) (2.12)(C) (2.12)(D) (2.13)(A) (2.13)(B) (2.14) 44-46 44-46 47 48-51 48-51 48-51 48-51 52-54 52-54 52-54 55-57 55-57 55-57 58-61 58-61 58-61 58-61 62-63 62-63 64 How many questions did you answer correctly? Preparing for the TAKS, Grade 2 ix Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Name Date Mastery of Objectives Chart Directions After taking each test, color in the bubble in front of each question that you answered correctly. The goal is to gain more colored-in bubbles with each test you take. Midyear Practice Test Date: Date: 8 9 10 11 12 13 ● ● ● ● ● ● ● 2 7 9 12 14 16 22 ● ● ● ● ● ● 24 31 33 35 37 39 ● ● ● ● ● ● ● 1 8 11 15 16 17 18 ● ● ● ● ● ● ● 19 4 13 19 28 30 ● 34 ● ● ● ● ● 2 23 29 35 36 ● 38 ● 18 ● ● ● ● ● ● 20 ● 21 ● 6 ● 17 ● 3 ● 9 ● 22 ● 23 ● 20 ● 23 ● 21 ● 26 Diagnostic Test Objective Number, Operations, and Quantitative Reasoning Date: ● ● ● ● ● ● ● 1 2 3 4 5 6 7 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. ● 14 Patterns, Relationships, and ● 15 Algebraic ● 16 Thinking ● 17 Geometry and Spatial Reasoning Measurement ● ● ● ● Probability and Statistics ● 31 ● 32 ● 33 Underlying Processes and Mathematical Tools ● ● ● ● ● 24 25 26 27 ● 28 34 35 36 37 38 ● ● ● ● ● ● ● 29 ● 30 ● ● ● ● 1 11 18 21 ● 26 ● 32 ● 36 ● 3 ● 8 ● 10 ● 39 ● 40 ● ● ● ● ● 5 15 25 27 29 Practice Test ● ● ● ● 4 13 22 25 ● 31 19 20 24 27 30 32 ● 34 ● 40 ● 7 ● 12 ● 14 ● 38 ● 40 ● ● ● ● ● 5 6 10 28 33 ● 37 ● 39 Preparing for the TAKS, Grade 2 xi Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. To The Student • In third grade you will take a test called the Texas Assessment of Knowledge and Skills, or the TAKS. • This section helps you to get ready to take the TAKS. • Some of the questions you will answer are called multiple-choice questions. A multiple-choice question can be the easiest kind of question because you know that one of the choices is the right answer. You will learn how to answer a multiple-choice question in this section. • A computer scores the TAKS. You will fill in bubbles to answer most questions. This section shows you how to fill in the bubble correctly. • It will also teach you how to check over your work so that you do your best when you take the TAKS for the first time. Preparing for the TAKS, Grade 2 1 To The Student How should I do the questions? What number is the same as ninety-three? 39 93 903 Read the problem. • Do your work on paper. • Work slowly and carefully. • Solve the problem. • Look for the answer choice. 2 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. • To The Student How do I fill in the bubble? Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. A computer scores the TAKS. You will fill in bubbles to answer most questions. • When you find the answer, fill in the answer bubble that goes with the answer. • Make sure you fill in the bubble completely. The chart below shows how to do this. • Make your marks dark. • If you make a mistake, be sure to erase it all. Correct Incorrect Incorrect Incorrect Incorrect Mark your answer. Mark your answer. Mark your answer. Mark your answer. Mark your answer. 5 5 5 5 5 7 7 7 7 7 9 9 9 9 9 Preparing for the TAKS, Grade 2 3 To The Student How can I check my work? Ask these questions: Did I use the right information? • Did I answer the question? • Did I do the math correctly? • Does my answer make sense? • Did I fill in the bubble correctly? Jasmine has 9 pairs of shorts, 8 T-shirts, and 8 pairs of jeans. How many pairs of shorts and jeans does she have? 16 17 25 4 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. • Practicing TAKS Questions Choose the best answer. 1 There were 13 students on the bus. 9 students got off. How many students are on the bus now? Mark your answer. 4 13 22 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2 Name the three-dimensional figure. cone cube cylinder Preparing for the TAKS, Grade 2 5 Practicing TAKS Questions Choose the best answer. 1 There were 13 students on the bus. 9 students got off. How many students are on the bus now? Mark your answer. 4 13 9 got off means 9 less 13 - 9 22 2 Choose whether to add or subtract. Does your answer make sense? Name the three-dimensional figure. cone cube Look for the answer choice that matches the answer you got. 6 Preparing for the TAKS, Grade 2 cylinder Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Make sure you understand the question. Practicing TAKS Questions Choose the best answer. 3 Miki has the following coins in her pocket. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. She buys a snack for 30¢. Which set of coins shows how much money she has left? 4 There are 26 children in the Young Ranchers Club. Which shows how many tens and ones are in 26? 26 tens 2 tens 6 ones 6 tens 2 ones Preparing for the TAKS, Grade 2 7 Practicing TAKS Questions Choose the best answer. 3 Miki has the following coins in her pocket. She buys a snack for 30¢. Which set of coins shows how much money she has left? Cross out 30¢ and see what is left. There are 26 children in the Young Ranchers Club. Which shows how many tens and ones are in 26? 26 tens 2 tens 6 ones 6 tens 2 ones 8 Preparing for the TAKS, Grade 2 Recall what you have learned about place value. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 4 Name Date Diagnostic Test Follow along as your teacher reads the question. There are three possible choices for answers. Look at each answer carefully. Color in the bubble next to the best answer. 1 What is another way to write four hundred thirteen? (2.1)(A) 400 + 13 + 3 400 + 10 + 3 410 + 3 + 0 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2 A number has seven ones, eight tens, and five hundreds. What is the number? (2.1)(B) 578 587 785 3 Which number goes in the box? (2.1)(C) 234 < > 319 243 309 321 Preparing for the TAKS, Grade 2 9 Name Date Diagnostic Test 4 (continued) What fractional part of this figure is shaded? (2.2)(A) 1 _ 9 1 _ 8 1 _ 3 5 What fraction of the group of pictures shows dog pictures? (2.2)(B) 3 _ 6 10 Which fraction is closest to 1? (2.2)(C) Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 10 7 _ 10 10 _ 7 Name Date Diagnostic Test 7 (continued) Listen to the story. Jaime needs to bring 15 pencils to school. He already has 9 at home. How many more pencils does Jaime need to buy? (2.3)(A) 9+ = 15 6 pencils 7 pencils 9 pencils 8 Look at the number sentence below. Which number will make the number sentence true? (2.3)(B) 33 + 21 = 54 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 44 52 9 Sara has read 37 pages of her book. There are 83 pages left. How many pages in all are in the book? (2.3)(C) 121 120 110 Preparing for the TAKS, Grade 2 11 Name Date Diagnostic Test 10 (continued) Bradford had 9 coins in his pocket. His pocket had a hole in it and some fell out. What is the value of the coins that fell out of his pocket? (2.3)(D) $0.22 11 $0.30 What is another way to write eighty-two cents? (2.3)(E) $8.02 $82 There were six dogs in a park. Each dog had four legs. How many dog legs were there all together? (2.4)(A) 24 26 6 62 4 legs 12 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. $0.82 82¢ 12 $0.32 Name Date Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Diagnostic Test (continued) 13 Which picture shows how four children should share twelve stickers equally? (2.4)(B) 14 What pattern is shown in the chart? (2.5)(A) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Counting by twos Counting by fives 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 Counting by tens 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Preparing for the TAKS, Grade 2 13 Name Date Diagnostic Test 15 (continued) Which numbers are missing from the pattern? (2.5)(B) 5, 10, 15, 20, 25, 30, 35, , , 35, 40, 45 40, 45, 50 30, 50, 60 16 Juan did this subtraction problem. Which addition problem shows that he got the correct answer? (2.5)(C) 72 –49 ____ 23 17 49 + 23 _____ 49 + 72 _____ There were ten stools in the art room. Each stool had three legs. How many stool legs were there all together? (2.6)(A) 20 30 103 14 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 72 + 23 _____ Name Date Diagnostic Test 18 (continued) What is the missing number in the pattern? (2.6)(B) 3 seeds 6 seeds ___ seeds 12 seeds 9 seeds 6 seeds 15 seeds Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 19 Find the rule. Mark your answer. (2.6)(C) Rule: Add In Out 12 14 28 30 46 48 20 Add 2 Add 4 Add 10 How many vertices does a rectangle have? (2.7)(A) 1 4 2 Preparing for the TAKS, Grade 2 15 Name Date Diagnostic Test 21 (continued) Which two solids have the same number of faces, edges, and vertices? (2.7)(B) cube and rectangular prism rectangular prism and cylinder cylinder and sphere Look at the hexagon. Suppose you cut the hexagon into 2 equal parts. What two shapes could you get? (2.7)(C) 23 Look at the number line. What number comes just before 17? (2.8) 18 10 11 12 13 14 15 17 18 16 17 16 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 22 Name Date Diagnostic Test 24 (continued) What is the length of the pencil to the nearest half-inch? (2.9)(A) 5 inches JODIFT 1 inches 5_ 2 6 inches 25 Which shaded figures have the same area? (2.9)(B) B, C, and D Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. A, B, and D A, C, and D A 26 B C D Which unit of measure would you use to measure a bathtub? (2.9)(C) Preparing for the TAKS, Grade 2 17 Name Date Diagnostic Test 27 (continued) If 3 toy cars weigh the same as 1 stuffed bear, how many toy cars are needed to make the scale balanced? (2.9)(D) = 3 cars 28 9 cars What temperature is shown on the thermometer? (2.10)(A) oFahrenheit 110o 100o 80o 70o 60o 50o 40o 30o 20o 10o 0o –5o Preparing for the TAKS, Grade 2 45° 53° 58° Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 90o 18 6 cars Name Date Diagnostic Test 29 What is the time on the clock? (2.10)(B) 10 9 8 30 (continued) 11 12 1 2:40 2 3 4:40 8:20 7 6 5 What activity takes approximately 1 minute? (2.10)(C) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. MILK 31 Look at the graph. How many trees did Carla and Zane plant all together? (2.11)(B) 5SFFT1MBOUFE 8 11 Carla 14 Seth Zane Each = 1 tree Preparing for the TAKS, Grade 2 19 Name Date Diagnostic Test (continued) (SFFUJOH$BSET4PME Eve Rafael John 32 Look at the tally chart above. The tally chart shows the number of greeting cards sold. Which graph matches the tallies on the chart? (2.11)(A) (SFFUJOH$BSET4PME /VNCFS 10 9 8 7 6 5 4 3 2 1 0 Eve 10 9 8 7 6 5 4 3 2 1 0 Eve Rafael John 4UVEFOU /VNCFS (SFFUJOH$BSET4PME 10 9 8 7 6 5 4 3 2 1 0 Eve 20 Preparing for the TAKS, Grade 2 Rafael 4UVEFOU John Rafael 4UVEFOU John Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. /VNCFS (SFFUJOH$BSET4PME Name Date Diagnostic Test 33 (continued) Without looking when you pick, which letter are you most likely to pick from the letters below? (2.11)(C) H O L L Y W O O D H L Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. O 34 Mary Anne has 40 beads. She uses 8 beads in every necklace. How many necklaces can Mary Anne make? (2.12)(A) 4 5 8 Preparing for the TAKS, Grade 2 21 Name Date Diagnostic Test 35 (continued) My number is greater than 28. It is less than 36. It has a 2 in the ones place. What is my number? (2.12)(B) 29 32 35 36 Which drawing shows four times three? (2.12)(C) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 22 Preparing for the TAKS, Grade 2 Name Date Diagnostic Test 37 (continued) This feather is about 15 buttons long. About how many toy cars long is the feather? (2.12)(D) 5 8 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 10 38 Which picture shows 370? (2.13)(A) Preparing for the TAKS, Grade 2 23 Name Date Diagnostic Test 39 (continued) Which shows the number sentence “ninety-eight take away fifteen is eighty-three”? (2.13)(B) 98 - 15 = 83 98 + 15 = 83 98 – 83 = 15 40 Which sentence CANNOT be used to describe this picture? (2.14) 8÷2=4 8÷8=1 24 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 4×2=8 Name Date TEKS Practice (2.1) Follow along as your teacher reads each problem. 1 What number does the model show? (2.1)(A) 437 2 Write the symbol that goes in the box. (2.1)(C) 543 > 534 553 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. < 3 A number has three ones, nine tens, and two hundreds. What is the number? (2.1)(B) 293 Preparing for the TAKS, Grade 2 25 Name Date TEKS Practice 4 (continued) Write the number. (2.1)(A) 400 + 80 + 4 5 484 What number is in the hundreds place? (2.1)(B) 521 5 What number goes in the box? (2.1)(C) 311 = 311 26 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 6 Name Date TEKS Practice 7 (continued) What number does the model show? (2.1)(A) 195 8 What number goes in the box? (2.1)(C) 4, 14, 24, 34, , 54, 64 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 44 9 What is the value of the 6 in the number below? (2.1)(B) 367 60 Preparing for the TAKS, Grade 2 27 Name Date TEKS Practice (2.2) Follow along as your teacher reads each problem. 1 What part of the figure is shaded? (2.2)(A) _103 2 _ Is the shaded part of the figure below closer to 0, 1 , or 1? 2 (2.2)(C) _21 _ Is the shaded part of the figure below closer to 0, 1 , or 1? 2 (2.2)(C) 0 28 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 3 Name Date TEKS Practice 4 (continued) What fraction of the cars is black? (2.2)(B) _116 5 What fraction of the birds is flying? (2.2)(B) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. _38 6 What fraction is shaded in this figure? (2.2)(A) _26 Preparing for the TAKS, Grade 2 29 Name Date TEKS Practice 7 (continued) 1 , or 1? Is the shaded part of the figure below closer to 0, _ 2 (2.2)(C) 0 8 What fraction of the figure is shaded? (2.2)(A) 9 What fraction of the flowers is NOT bent over? (2.2)(B) _53 30 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. _21 Name Date TEKS Practice (2.3) Follow along as your teacher reads each problem. 1 What is the value of the coins shown? (2.3)(D) $0.90 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2 There are 7 monkeys playing ball. 2 monkeys leave the game. How many monkeys are left playing? (2.3)(A) 5 3 What is another way to make the number 82? Fill in the box. (2.3)(B) 82 15 67 + Preparing for the TAKS, Grade 2 31 Name Date TEKS Practice 4 (continued) Use the dollar sign to write 49 cents. (2.3)(E) 49¢ $0.49 5 Find the sum of the two numbers. (2.3)(B) 41 + 6 Write a number sentence to solve. (2.3)(C) Curtis is allowed to watch 90 minutes of television. So far he has watched 23 minutes. How many minutes can he still watch? 32 Preparing for the TAKS, Grade 2 90 – 23 = 67 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 23 + 18 = ____ Name Date TEKS Practice 7 (continued) What is the value of the coins shown? (2.3)(D) $0.62 8 Write a number sentence to solve. (2.3)(C) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Tonya read 21 books and Diego read 17 books. How many books did they read in all? 9 21 + 17 = 38 What is the solution to the problem? (2.3)(A) 6 + 6 = ___ 12 Preparing for the TAKS, Grade 2 33 Name Date TEKS Practice 10 (continued) Use the dollar sign to write 17 cents. (2.3)(E) 17¢ $0.17 11 What is the solution to the problem? (2.3)(A) 12 + 4 16 Jessica brought 12 tacos to the party and Eric brought 20 tacos. How many tacos did they have in all? (2.3)(B) 32 34 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 12 Name Date TEKS Practice 13 (continued) Write a number sentence to solve. (2.3)(C) Julio’s book is 88 pages long. So far, he has read 53 pages. How many pages does Julio need to read? 14 88 – 53 = 35 Rewrite 39 cents using a dollar symbol. (2.3)(E) 39¢ Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. $0.39 15 What is the value of the coins shown? (2.3)(D) $0.62 Preparing for the TAKS, Grade 2 35 Name Date TEKS Practice (2.4) Follow along as your teacher reads each problem. 1 Jose has these grapes. He will give four grapes to each of his three friends. How many grapes will be left for Jose? (2.4)(B) 4 2 There are eight picnic tables. There are four children sitting at each table. How many children are sitting at the eight picnic tables in all? (2.4)(A) 8 3 32 There are five flower pots. There are four flowers in each pot. How many flowers are there in the five flower pots in all? (2.4)(A) 4 5 36 Preparing for the TAKS, Grade 2 20 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 4 Name Date TEKS Practice 4 (continued) Look at the picture. If Chad wants to give each friend 3 pencils, to how many friends can he give pencils? (2.4)(B) 3 5 There are two barrels. There are five apples in each barrel. How many apples are there in the two barrels in all? (2.4)(A) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2 6 5 10 Liza made 24 cookies to share with her friends. If she has 6 friends and she wants each of her friends to get the same amount of cookies, how many cookies should she give each of her friends? (2.4)(B) 4 Preparing for the TAKS, Grade 2 37 Name Date TEKS Practice (2.5) Follow along as your teacher reads each problem. 1 2 Caroline did this subtraction problem. Write an addition problem to show that she got the correct answer. (2.5)(C) 94 –37 ____ 37 + 57 ____ 57 94 What number is missing from the pattern? (2.5)(B) 4 + 42 4 + 52 4 + 62 4+ What pattern is shown in the chart? (2.5)(A) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 38 Preparing for the TAKS, Grade 2 Counting by tens Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 3 72 Name Date TEKS Practice 4 (continued) What number sentence is missing from the pattern? (2.5)(B) 4+0=4 4+1=5 4+2=6 4+3=7 5 Name the pattern and find the missing number in pattern below. (2.5)(A) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 45 50 55 60 ___ 70 75 6 Counting by fives 65 Write the missing number. (2.5)(C) 6+3= +6 3 Preparing for the TAKS, Grade 2 39 Name Date TEKS Practice 7 (continued) What is the correct answer to the addition problem? (2.5)(C) 6 5 +6 8 17 What pattern is shown in the chart? (2.5)(A) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Counting by threes 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 9 What symbol goes in the box? (2.5)(B) 687 < 697 678 > 40 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 31 32 33 34 35 36 37 38 39 40 Name Date TEKS Practice (2.6) Follow along as your teacher reads each problem. 1 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2 Each bike has two wheels. How many wheels in all are on 5 bikes? (2.6)(A) 1 2 3 4 5 OVNCFSPGXIFFMT 2 4 6 8 ? 10 Look at the pattern. What comes next? (2.6)(C) 3 3 OVNCFSPGCJLFT 1 2 3 1 2 3 1 2 3 1 3 2 Rodrigo can make 3 bookmarks every 5 minutes. How many bookmarks will Rodrigo have made after 20 minutes? (2.6)(B) 3PESJHPT#PPLNBSLT Minutes Bookmarks 5 10 15 20 3 6 9 12 ? Preparing for the TAKS, Grade 2 41 Name Date TEKS Practice 4 (continued) Lola’s teacher read her 6 pages of a book. She told Lola to read 10 more pages each night. If Lola reads 10 pages a night, how many pages will be read by day 4? (2.6)(B) At School Day 1 Day 2 Day 3 Day 4 6 pages 16 pages 26 pages 36 pages ? 5 46 Each deer that Steve saw had four legs. If he counted 28 legs, how many deer did Steve see? (2.6)(A) 6 42 What shape would be the twelfth shape in this pattern? (2.6)(C) Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 7 Name Date TEKS Practice 7 (continued) Cora walks her dog 3 times each day. How many times will Cora walk her dog in 5 days? (2.6)(B) 8 EBZT 1 2 3 4 XBMLT 3 6 9 12 5 15 Marla is buying nail stickers for her slumber party. How many nail stickers will she need so that every girl has a sticker for each finger? (2.6)(A) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. .BSMBT'JOHFSOBJM4UJDLFST Hands Fingers 9 2 4 6 8 10 12 60 10 20 30 40 50 What is the sixth number in the pattern? (2.6)(C) 1 3 5 7 11 Preparing for the TAKS, Grade 2 43 Name Date TEKS Practice (2.7) Follow along as your teacher reads each problem. 1 How many vertices does this figure have? (2.7)(A) 8 2 How many faces does a pyramid have? (2.7)(A) 4 Which two figures have the same number of sides? (2.7)(B) Figures 2 and 3 Figure 1 44 Preparing for the TAKS, Grade 2 Figure 2 Figure 3 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 3 Name Date TEKS Practice (continued) 4 The rectangle below can be cut into two triangles. Draw on the rectangle showing where to make the cut. (2.7)(C) 5 Which figure has a different number of faces than the other two? (2.7)(B) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Figure 2 Figure 1 6 Figure 2 Figure 3 This square can be cut into two rectangles. Draw a line on the square to show where to make the cut. (2.7)(C) Preparing for the TAKS, Grade 2 45 Name Date TEKS Practice 7 (continued) How many faces does a cylinder have? (2.7)(A) 2 8 Which figures have 0 vertices? (2.7)(B) Figures 2 and 3 Figure 1 46 Figure 3 The trapezoid can be cut into 2 triangles and a rectangle. Draw two lines to show where to make the cuts. (2.7)(C) Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 9 Figure 2 Name Date TEKS Practice (2.8) Follow along as your teacher reads each problem. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 1 2 3 Look at the graph. Go right 3 spaces. → Then go up 4 spaces. What insect do you see? (2.8) Butterfly You go right 4 spaces. → How many spaces do you need to go up to find the mosquito? (2.8) 3 Find the ladybug. (2.8) 2 space(s) right → ______ 1 space(s) up ______ Preparing for the TAKS, Grade 2 47 Name Date TEKS Practice (2.9) Follow along as your teacher reads each problem. 1 A paperclip is approximately 1 inch long. How many inches long is the shoe? (2.9)(A) 10 2 Casey made a mosaic using square tiles. What is the area of her mosaic? (2.9)(B) 16 square units 3 A tennis ball weighs the same as 10 marbles. A football weighs the same as 5 tennis balls. How many marbles would equal the weight of a football? (2.9)(D) = 48 Preparing for the TAKS, Grade 2 = 50 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. = 1 square unit Name Date TEKS Practice 4 (continued) Look at the picture of the toy boat. Measure the length of the boat in centimeters. What is the length of the boat? (2.9)(A) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 8 centimeters 5 6 David uses a teapot to measure the capacity of his bathtub. The capacity is 52 teapots. A soup pot holds the same amount as the teapot. How many soup pots would it take to fill the bathtub? (2.9)(C) 52 To fill the fish tank, Caryn uses a milk jug. It takes 10 milk jugs to fill the fish tank. If 5 water bottles equal the capacity of the milk jug, how many water bottles would it take to fill the fish tank? (2.9)(C) 50 Preparing for the TAKS, Grade 2 49 Name Date TEKS Practice 7 (continued) What is the area of this figure? (2.9)(B) 16 square units Circle the object that weighs the least. (2.9)(D) 9 Heather wants to measure the capacity of her basket. Should she use a spoon or a drinking cup to measure the capacity? (2.9)(C) Drinking cup 50 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 8 Name Date TEKS Practice 10 (continued) Is the best estimate for the shaded area more or less than 10 square units? (2.9)(B) more 11 Look at the picture. A button is about 1 centimeter long. About how many centimeters long is the toothbrush? (2.9)(A) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 12 12 Maria wants to weigh her math book. Should she use marbles or tennis balls to measure the weight of the math book? (2.9)(D) MATH Tennis balls Preparing for the TAKS, Grade 2 51 Name Date TEKS Practice (2.10) Follow along as your teacher reads each problem. 1 What temperature does the thermometer show? (2.10)(A) 60o 42° 50o 40o 30o 20o 2 10 9 8 3 11 12 1 2 3 7 6 5 Does the activity shown below take approximately one second, one minute or one hour? (2.10)(C) One second 52 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Draw the minute and hour hands on the clock to show the time two-twenty. (2.10)(B) Name Date TEKS Practice 4 (continued) Does the activity shown below take approximately one second, one minute, or one hour? (2.10)(C) One minute 5 Write the temperature. (2.10)(A) 60o Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 50o 28° 40o 30o 20o 6 Alana says that today is a cold day. Look at the thermometer and tell if she is right or wrong. (2.10)(A) oFahrenheit 110o 100o 90o 80o 70o 60o Wrong 50o 40o 30o 20o 10o 0o –5o Preparing for the TAKS, Grade 2 53 Name Date TEKS Practice 7 8 (continued) Jordan needs to be at the movie 30 minutes before it starts. If the movie starts at 1:05, what times does Jordan need to be there? (2.10)(B) 12:35 Does the activity shown below take approximately one second, one minute, or one hour? (2.10)(C) One minute What time does the clock show? (2.10)(B) 8:25 54 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 9 Name Date TEKS Practice (2.11) Follow along as your teacher reads each problem. 1 The tally chart shows the number of laps each student ran. Make a graph to match the tally marks on the chart. (2.11)(A) -BQT3BO -BQT3BO Student Clara Gil Rob Clara Gil Rob 1 2 3 4 5 6 7 8 9 10 Number 2 How many dogs did Lena and Abel bathe in all? (2.11)(B) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. %PHT#BUIFEBU"OJNBM4IFMUFS Lena 8 Abel Tom Each 3 = 1 dog Look at the graph. How many more shells did Sara collect then John? (2.11)(B) 4IFMMT$PMMFDUFE Yuri 5 John Sara Each = 1 shell Preparing for the TAKS, Grade 2 55 Name Date TEKS Practice The tally chart shows the number of books each student read. Make a bar graph to display the data on the chart. (2.11)(A) 7dd`hGZVY Angie Laurie Nick Books Read Number of Books Read 4 (continued) 10 9 8 7 6 5 4 3 2 1 0 Angie 5 Laurie Nick Likely 6 There were 16 baseball hats on a table. Eight of the hats were black, three were white and five were gray. If the coach hands out hats randomly, are you likely or unlikely to get a white hat? (2.11)(C) Unlikely 56 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Joe put 10 counters in a paper bag. Eight of the counters were black and two were gray. Joe closed his eyes and took one counter out of the bag. Is it likely or unlikely that the counter he picked was black? (2.11)(C) Name Date TEKS Practice 7 (continued) The students in the art club were asked to name their favorite color. 3 students said red, 5 said blue, 4 said green and 2 said yellow. Use a smiley face for each student and make a picture graph of the results. (2.11)(A) Favorite Colors Red Blue Green Yellow 8 stands for 1 student. There are 6 girls and 2 boys in a group. If all the group members’ names are placed in a hat, is it likely or unlikely that a boy’s name will be drawn? (2.11)(C) Unlikely 9 How many more cards did John sell than Eve? (2.11)(B) (SFFUJOH$BSET4PME /VNCFS Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Each 10 9 8 7 6 5 4 3 2 1 0 4 Eve Rafael 4UVEFOU John Preparing for the TAKS, Grade 2 57 Name Date TEKS Practice (2.12) Follow along as your teacher reads each problem. 1 Make a table to help you solve. Imalda has seven pairs of shoes in her closet. How many shoes does she have? (2.12)(B) Pairs Shoes 2 1 2 2 4 3 6 4 8 5 6 7 10 12 14 14 There are 12 frogs at a pet shop. The owner sells 8. How many frogs are left? (2.12)(B) 3 String cheese comes in packages of 8, 12, and 24. Molly bought 20 pieces of string cheese. Which two packages did she buy? (2.12)(C) 8 and 12 58 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 4 Name Date TEKS Practice 4 (continued) There were 7 ladybugs on a leaf. 4 ladybugs joined them. How many ladybugs are on the leaf in all? (2.12)(C) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 11 _85 . 5 Shade in the circle to show 6 There were 27 people at story hour. 10 people sat on chairs and the rest sat on the floor. What fraction of the people sat on the floor? (2.12)(B) (2.12)(D) 17 _ 27 Preparing for the TAKS, Grade 2 59 Name Date TEKS Practice 7 (continued) What three-dimensional object is the basketball shaped like? (2.12)(A) Sphere 8 The screwdriver is about 8 pennies long. About how many erasers long is the screwdriver? (2.12)(D) 9 The table shows the number of snow globes in boxes for sale at the Winter Festival. If each box holds the same number of snow globes, how many snow globes are there in 6 boxes? (2.12)(C) Snow Globes 60 Number of Boxes Number of Snow Globes 1 9 2 18 3 27 Preparing for the TAKS, Grade 2 54 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 4 Name Date TEKS Practice 10 (continued) The students in Mr. Lu’s class are voting for their favorite pet. Seven students said cat, eleven students said dog, and five students said fish. Make a tally chart to show these results. (2.12)(A) 'BWPSJUF1FU 7 11 5 cat dog fish Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 11 12 _ Shade the sections to show 4 . (2.12)(D) 9 Rahm has these crackers. He will give 5 crackers each to two friends. How many crackers will be left for Rahm? (2.12)(A) 2 Preparing for the TAKS, Grade 2 61 Name Date TEKS Practice (2.13) Follow along as your teacher reads each problem. 1 Explain how you know what comes next in repeating pattern. (2.13)(A) ? ? 2 Look at the pattern unit to determine what comes next Justin had 14 pennies. He lost some of them. Now he has 9 pennies. Write a number sentence to show how many pennies Justin lost. (2.13)(A) 3 =9 Why is 7:30 called half past 7? (2.13)(B) It is called half past because 30 minutes 1 is of 60 minutes, or 2 1 hour. _ 62 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 14 - Name Date TEKS Practice 4 5 (continued) Write a number sentence for 86 take away 53 is 33. (2.13)(B) Look at the problems below. If the answer to the problem is 42, shade the box. If the answer is 37, circle the problem. (2.13)(A) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 86 – 44 12 + 25 50 – 8 6 86 – 53 = 33 0 + 37 28 + 14 77 – 35 11 + 31 63 – 21 26 + 11 66 – 29 17 + 20 23 + 19 The table shows the weight of several dogs at the animal shelter. What is the difference between the greatest weight and the least weight? (2.13)(B) %PH8FJHIUT %PH 8FJHIUJOQPVOET Labrador 56 Poodle 45 Golden Retriever 61 Boxer 48 Collie 53 16 pounds Preparing for the TAKS, Grade 2 63 Name Date TEKS Practice (2.14) Follow along as your teacher reads each problem. 1 Eli has 7 packs of gum. Each pack has 10 pieces. He has 5 more pieces of gum in his pocket. How many pieces of gum does Eli have? (2.14) 75 pieces 2 Look at the thermometer. What would you wear outside at this temperature? (2.14) 110o 100o 90o 80o 70o 60o 50o 40o Coat, hat, scarf, gloves 30o 20o 10o 0o –5o 3 64 James had 50¢ to spend at the class bake sale. If cookies cost 35¢ each, brownies cost 40¢ each, and it is 15¢ for each bag of popcorn, what TWO items can James buy? (2.14) Preparing for the TAKS, Grade 2 A cookie and a bag of popcorn Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. oFahrenheit Name Date TEKS Quiz 1 Objective 1: Numbers, Operations, and Quantitative Reasoning Follow along as your teacher reads each problem. 1 Which sign makes the number sentence true? (2.1)(C) 682 810 = < > Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2 Mr. O’Connor buys 6 sheets of stamps. Each sheet has 10 stamps. How many stamps does Mr. O’Connor buy in all? (2.4)(A) 16 6 10 50 60 3 What fraction of the stars is shaded? (2.2)(B) 2 _ 3 1 _ 3 3 _ 2 Preparing for the TAKS, Grade 2 65 Name Date TEKS Quiz 1 4 (continued) Carla had 67 marbles and gave 35 of them to her sister. Choose the number sentence that shows how many marbles Carla had left. (2.3)(B) 67 + 37 = 67 - 35 = - 67 = 35 Which picture shows how 2 children would share 4 crayons? (2.4)(B) 6 What is another way of writing 75 cents? (2.3)(E) 75¢ $75 $7.05 $0.75 66 Preparing for the TEKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 5 Name Date TEKS Quiz 2 Objective 2: Patterns, Relationships, and Algebraic Thinking Follow along as your teacher reads each problem. 1 A star has five points. If there are 6 stars, how many points are there? (2.6)(A) 30 points 35 points 5 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2 10 15 20 25 26 points Tonya did this subtraction problem. Which addition problem can be used to check the answer? (2.5)(C) 20 + 11 = 31 - 11 = 31 + 20 = 31 - 20 = 11 3 ? Jasmine waters the plants three times each week. How many times will she water the plants in 4 weeks? (2.6)(B) 12 LViZg^c\EaVcih week 1 2 3 water 3 6 9 4 10 8 Preparing for the TEKS, Grade 2 67 Name Date TEKS Quiz 2 4 (continued) The first four numbers in a pattern are 4, 8, 12, and 16. What is the next number in the pattern? (2.5)(A) 4, 8, 12, 16, 22 20 18 5 Dipak runs 7 laps. Each lap takes 5 minutes. For how many minutes does Dipak run in all? (2.6)(C) 7 laps 5 minutes for each lap 32 35 6 Which number goes in the box? (2.5)(B) 824 > > 811 811 823 829 68 Preparing for the TEKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 12 Name Date TEKS Quiz 3 Objective 3: Geometry and Spatial Reasoning Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Follow along as your teacher reads each problem. 1 Which pair of shapes has different number of vertices? (2.7)(B) 2 Using the number line, what number is 5 more than the number marked? (2.8) 2 0 1 2 3 4 5 6 7 5 7 3 How many edges does a cube have? (2.7)(A) 6 10 12 Preparing for the TEKS, Grade 2 69 Name Date TEKS Quiz 3 (continued) Look at the diamond. Which of the following shapes can the diamond be cut into? (2.7)(C) 5 Look at the number line. What number is three less than the number marked on the number line? (2.8) 59 58 59 60 61 62 63 64 65 61 64 6 How many vertices does this figure have? (2.7)(A) 6 5 4 70 Preparing for the TEKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 4 Name Date TEKS Quiz 4 Objective 4: Measurement Follow along as your teacher reads each problem. 1 What time is shown on the clock? (2.10)(B) 10 9 8 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2 11 12 1 1:55 2 3 5:50 11:05 7 6 5 Look at the paperclips and the comb below. If each paperclip is 1 inch long, how many inches long is the comb? (2.9)(A) 3 4 5 3 What is the area of this figure? (2.9)(B) 3 square units 4 square units = 1 square unit 5 square units Preparing for the TEKS, Grade 2 71 Name Date TEKS Quiz 4 4 (continued) What temperature is shown on the thermometer? (2.10)(A) 90o 76° 77° 80o 70o 78° 60o 50o Look at the objects below. Which object is heavier than the desk? (2.9)(D) 6 Which container can hold the most water? (2.9)(C) 72 Preparing for the TEKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 5 Name Date TEKS Quiz 5 Objective 5: Probability and Statistics Follow along as your teacher reads each problem. 1 Three friends sold cups of lemonade. The graph shows how many cups each friend sold. How many cups of lemonade did Gina and Sam sell in all? (2.11)(B) $VQT4PME %P?LI 10 6 5 &GL? 2?K The tally chart shows the number of bags of popcorn each student sold at the school carnival. Which graph matches the tally marks in the chart? (2.11)(A) #BHTPG1PQDPSO4PME Student #BHTPG1PQDPSO4PME Joe 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Number Joe Trevor Li Trevor Li #BHTPG1PQDPSO4PME Student 2 Li Joe Trevor 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Number #BHTPG1PQDPSO4PME Student Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. $?AFASNQ Li Joe Trevor 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Number Preparing for the TEKS, Grade 2 73 Name Date TEKS Quiz 5 3 (continued) Marla spins the spinner. What is the probability that the spinner will land on a triangle? (2.11)(C) certain likely unlikely 4 Look at the graph. How many marbles did Marisa and Nick win all together? (2.11)(B) .BSCMFT8PO 7 9 Marisa Jamie Each 5 = 1 marble Jenny puts 8 tiles in a bag. 3 of the tiles are white, 3 are gray, and 2 are black. Jenny pulls one tile out of the bag. Is it certain, likely, or unlikely that she will pick a black tile? (2.11)(C) certain likely unlikely 74 Preparing for the TEKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 12 Nick Name Date TEKS Quiz 6 Objective 6: Underlying Processes and Mathematical Tools Follow along as your teacher reads each problem. 1 Melanie walks 4 miles every 2 weeks. How many miles will Melanie have walked after 10 weeks? (2.12)(A) 20 miles .FMBOJFT.JMFBHF Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2 XFFLT 2 4 6 8 10 NJMFT 4 8 12 16 ? 21 miles 22 miles If each cube measures 1 inch, how many inches long is the crayon? (2.12)(D) 2 3 4 3 Which quiz score did the greatest number of students get? (2.12)(B) 2VJ[4DPSFT 4DPSF /VNCFSPG4UVEFOUT 7 5 8 9 9 7 10 2 8 9 10 Preparing for the TEKS, Grade 2 75 Name Date TEKS Quiz 6 4 (continued) What is the number sentence for 26 take away 14? (2.13)(B) 26 - 14 = 26 + 14 = 14 + = 26 5 Raven has these nickels in her purse. She will give six nickels to her sister and spend six nickels. How many nickels will be left in Raven’s purse? (2.12)(C) 1 2 3 Keishawn pulled shapes from a bag. He pulled 5 squares, 7 circles, and 2 triangles. Which tally chart shows Kieshawn’s results? (2.13)(A) 4IBQFT1VMMFE Square Circle 5 7 2 Triangle 4IBQFT1VMMFE Square Circle Triangle 4IBQFT1VMMFE Square Circle Triangle 76 Preparing for the TEKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 6 Name Date Midyear Practice Test Follow along as your teacher reads each problem. 1 Estimate the temperature in the picture. (2.10)(A) 45° 62° 96° 2 What fraction of the figure is shaded? (2.2)(A) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. _85 3 Look at the graph. How many shooting stars did Myla and Ming see altogether? (2.11)(B) H]ddi^c\HiVgh Andrew 5 7 8 Myla Ming Each = 1 shooting star Preparing for the TAKS, Grade 2 77 Name Date Midyear Practice Test (continued) 4 There are six birds. Each bird has two legs. How many legs are there all together? (2.6)(A) 6 12 2 legs 5 The table shows the number of minutes a baby napped on the weekend. How many more minutes did the baby nap on Saturday than on Sunday? (2.12)(B) B^cjiZhd[7VWn¾hCVe Day Minutes 70 80 6 78 Saturday 160 Sunday 90 The parallelogram can be cut into two triangles. Draw a line on the parallelogram below to show where to make the cut. (2.7)(C) Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 90 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Name Date Midyear Practice Test (continued) 7 Which drawing shows how 3 children should share 9 cards equally? (2.4)(B) 8 Britney spins this spinner. Is it unlikely or likely that the spinner will land on an odd number? (2.11)(C) 9 2 4 3 10 unlikely What fraction of the group of shapes is squares? (2.2)(B) 4 _ 5 5 _ 4 5 _ 9 Preparing for the TAKS, Grade 2 79 Name Date Midyear Practice Test (continued) 10 Look at the tally chart below. The tally chart shows the number of votes per sport. Draw circles for votes and make a picture graph showing the results. (2.11)(A) Favorite Sports 'BWPSJUF4QPSUT Baseball Baseball Soccer Soccer Basketball Basketball = 1 vote 11 If each cube measures approximately 1 inch, how many inches long is the marker? (2.9)(A) 6 7 12 There are 5 tables at a party. There are 4 people sitting at each table. How many people are sitting at the 5 tables in all? (2.4)(A) 5 4 20 80 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 5 Name Date Midyear Practice Test (continued) 13 Look at the domino. Which group of number sentences is the fact family for this domino? (2.5)(C) 5+1=6 6+1=7 7–1=6 6–1=5 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 14 5+1=6 1+5=6 6–5=1 5 + 6 = 11 Reba has 54 stickers. Her sister has 23 stickers. How many stickers do Reba and her sister have in all? (2.3)(B) 54 + 23 ____ 15 5+1=6 1+5=6 6–1=5 6–5=1 77 Which drawing shows 4 times 2? (2.12)(C) 4×2 Preparing for the TAKS, Grade 2 81 Name Date Midyear Practice Test (continued) 16 What number does the model show? (2.1)(A) 396 Which two shapes have the same number of vertices? (2.7)(B) 18 What time is shown on the clock below? (2.10)(B) 10 9 8 82 11 12 1 7 6 5 Preparing for the TAKS, Grade 2 2 3 12:50 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 17 Name Date Midyear Practice Test (continued) 19 Marta can make 4 rope bracelets every 3 minutes. How many bracelets will Marta have made after 15 minutes? (2.6)(B) Marta’s Bracelets 20 19 .JOVUFT 3 6 9 12 15 20 #SBDFMFUT 4 8 12 16 ? 22 How many vertices does a cube have? (2.7)(A) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 8 21 What is the best estimate for the shaded area? (2.9)(B) between 3 and 4 square units between 8 and 9 square units between 12 and 13 square units Preparing for the TAKS, Grade 2 83 Name Date Midyear Practice Test (continued) 22 What symbol goes in the box? (2.1)(C) 468 23 458 < 488 > Which directions show the dog in the correct spot? (2.8) Go right 2 spaces → Go up 2 spaces ↑ 3 2 Go left 1 space ← Go up 1 space ↑ 1 0 2 3 4 Go right 2 spaces → Go up 1 space ↑ What is the value of the coins below? (2.3)(D) $0.82 84 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 24 1 Name Date Midyear Practice Test (continued) 25 Who has the smallest amount of stickers? (2.13)(B) Person Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 26 Number Diego 294 Jill 249 Lourdes 302 Tammy 296 Diego Jill Lourdes Does the activity shown below take approximately one second, one minute, or one hour? (2.10)(C) one hour 27 The poster shows the prices of items on sale at a clothing store. What is the cost of one sweatshirt? (2.14) $45 Sale 3 pairs of jeans for $45 5 sweatshirts for $45 $5 $9 $15 9 pairs of socks for $45 Preparing for the TAKS, Grade 2 85 Name Date Midyear Practice Test (continued) 28 Look at the table. If each team gets the same number of balls, how many soccer balls are needed for 4 teams? (2.6)(C) Soccer Balls 29 Number of Teams Number of Soccer Balls 1 6 2 12 3 18 24 Which object is shaped like a cylinder? (2.12)(A) 30 Look at the numbers below. What is the pattern shown? (2.5)(A) 23 33 43 53 63 73 83 93 86 Preparing for the TAKS, Grade 2 Counting by tens Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. CR AC KE RS Name Date Midyear Practice Test (continued) 31 What is the value of seven in seven hundred ninety-four? (2.1)(B) 794 7 70 700 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 32 Eliza wants to measure the capacity of this pitcher. Should she use a spoon or a drinking cup to measure? (2.9)(C) Drinking cup 33 _ Which shows a fractional part closest to 1 ? (2.2)(C) 2 Preparing for the TAKS, Grade 2 87 Name Date Midyear Practice Test (continued) 34 What number sentence is missing from the pattern? (2.5)(B) 3+6=9 3 + 7 = 10 3 + 8 = 11 3 + 9 = 12 3 + 10 = 13 35 Annette had 47 hair barrettes. Her older sister gave her 21 more barrettes. Choose the number sentence that shows how many barrettes Annette had total. (2.3)(C) 47 – 21 = 21 + 36 = 47 3 blocks weigh the same as 1 toy car and 2 toy cars weigh the same as 1 yo–yo. How many blocks would equal 1 yo–yo? (2.9)(D) = 88 Preparing for the TAKS, Grade 2 = 6 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 47 + 21 = Name Date Midyear Practice Test (continued) 37 Ruben had 5 fish. He got 2 more fish. Then he got 4 more fish. How many fish did Ruben have in all? (2.3)(A) 5 7 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 11 38 7 . (2.12)(D) Shade the figure below to show _ 10 39 What is another way to write eighty-nine cents? (2.3)(E) 89¢ $8.09 $0.89 $89 Preparing for the TAKS, Grade 2 89 Name Date Midyear Practice Test (continued) 40 The students in Mrs. Chan’s class tell how they get to school. Eight students ride in a car. Twelve students ride in a school bus. Seven students walk. Make a tally chart to show the results. (2.13)(A) 8 12 Car Bus Walk 90 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. )PX8F(FUUP4DIPPM 7 Name Date Practice Test Follow along as your teacher reads each problem. 1 What number sentence does the model show? (2.3)(A) 5+3=8 8-3=5 8-5=3 2 Look at the pattern. What is the pattern unit? (2.6)(B) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. ? ? 3 What number on the number line is two more than 7? (2.8) 5 6 7 8 9 10 11 12 5 7 9 Preparing for the TAKS, Grade 2 91 Name Date Practice Test 4 (continued) Look at the picture of the eraser. Measure the eraser in centimeters. About how long is the eraser? (2.9)(A) 3 centimeters 4 centimeters 5 centimeters 5 This watchband is about 12 pennies long. About how many paper clips long is the watchband? (2.12)(D) 6 10 12 What pattern is shown in the chart? (2.5)(A) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Counting by fives 31 32 33 34 35 36 37 38 39 40 Counting by tens 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 92 Counting by twos Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 6 Name Date Practice Test 7 (continued) Look at the picture graph. How many students voted for oranges and bananas in all? (2.11)(B) 1 'BWPSJUF4OBDL 3 apple Each banana = 1 vote 4 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. orange 8 Which picture shows how four children should share twelve strawberries evenly? (2.4)(B) 9 How many faces does this figure have? (2.7)(A) 3 4 5 Preparing for the TAKS, Grade 2 93 Name Date Practice Test 10 (continued) Mia said that 61 + 27 is 88. How can Peter check that this answer is reasonable? (2.14) Use estimation. Interpret the remainder. Make a graph. 11 What fraction of this group of students is boys? (2.2)(B) 9 _ 12 There are 10 marbles in a bag. Suppose you pick a marble without looking. Is it impossible, unlikely, or likely that you would pick a striped marble? (2.11)(C) impossible unlikely likely 94 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2 2 _ 9 2 _ 7 Name Date Practice Test 13 (continued) What is the area of this figure? (2.9)(B) 1 square unit 5 square units = 1 square unit 3 yellow 4 blue 3 Spinner Results Spinner Results red yellow blue red yellow blue Result red Result A spinner is divided into three equal sections. One section is red, one is blue, and one is yellow. Tanesha spun the pointer 10 times. The results are shown in the table below. Which graph shows these results? (2.11)(A) 0 1 2 34 5 Number of Times 0 1 2 34 5 Number of Times Spinner Results Result Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 14 6 square units red yellow blue 0 1 2 34 5 Number of Times 15 George had 59 ballons. He sold 19 balloons. How many balloons did he have left? (2.3)(C) 40 35 30 Preparing for the TAKS, Grade 2 95 Name Date Practice Test 16 (continued) Which number goes in the box? (2.1)(C) 447 > > 376 358 401 449 17 What part of the figure is shaded? (2.2)(A) 3 _ 18 What is a solution to this problem? (2.3)(B) 72 - 30 40 42 52 96 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 4 1 _ 4 3 _ 1 Name Date Practice Test 19 (continued) Which drawing shows 3 times 6? (2.4)(A) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 3×6 20 What is another way to write fifty-four cents? (2.3)(E) 54¢ $54 $5.40 $0.54 Preparing for the TAKS, Grade 2 97 Name Date Practice Test (continued) 21 Look at the square. Suppose you cut the square into two equal parts. What 2 shapes could you get? (2.7)(C) 22 What temperature is shown on the thermometer? (2.10)(A) 110o 82° 100o 88° 90o 80o 70o 23 Each letter has a different value. (2.12)(B) P D T E N O S 1 2 3 4 5 6 7 Which word is worth the most? 98 Preparing for the TAKS, Grade 2 STOP SEND PEST Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 78° oFahrenheit Name Date Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Practice Test (continued) 24 Which fraction is closest to zero? (2.2)(C) 25 Which unit of measure would you use to measure the capacity of a dog bowl? (2.9)(C) 26 Look at the pair of shapes, which pair has the same number of sides? (2.7)(B) Preparing for the TAKS, Grade 2 99 Name Date Practice Test 27 (continued) How many blocks does Tara have? (2.1)(A) 161 264 314 28 Quinn plays on the Hawks basketball team. How many more points did the Hawks score than the Lions? (2.13)(A) 6 5FBN4DPSFT 5FBN/BNF Tigers 18 Lions 22 Hawks 30 Bears 28 Rattlers 14 8 10 Which number goes in the box? (2.5)(B) 746 < < 756 766 757 748 100 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 29 1PJOUT Name Date Practice Test 30 (continued) A number has four ones, five tens, and nine hundreds. What is the number? (2.1)(B) 594 945 954 31 What time is shown on the clock? (2.10)(B) 7:45 7:15 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 6:45 32 Look at the coins in the box. Which amount of money is equal to the amount in the box? (2.3)(D) Preparing for the TAKS, Grade 2 101 Name Date Practice Test 33 (continued) How much money will Amy need to buy the three items shown? (2.12)(A) $42 $10 $69 $59 $52 $17 Which unit of measure would you use to measure the weight of a pencil? (2.9)(D) 35 What number continues the pattern? (2.6)(C) 10, 100, 1000, 10,000 1100 100 102 Preparing for the TAKS, Grade 2 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 34 Name Date Practice Test 36 (continued) Look at the addition problem in the box. What other problem has the same answer? (2.5)(C) 5 + 4 + 2 = 11 2+3+4= 9+2+4= 4+5+2= 37 Which drawing shows 4 times 3? (2.12)(C) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 4×3 Preparing for the TAKS, Grade 2 103 Name Date Practice Test 38 (continued) Each pack has 3 pens. What is the total number of pens in 6 packs? (2.6)(A) QBDLT QFOT 1 3 2 6 3 9 4 12 5 6 15 Which clock shows half past nine? (2.13)(B) 40 What picture shows an activity that takes approximately one second? (2.10)(C) 104 Preparing for the TAKS, Grade 2 17 18 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 39 16