4th Grade Math Study Guide PDF - UT High School

101017 4th Grade Math Study Guide Credit by Exam for Acceleration or Credit Recovery The exam you are interested in taking is designed to test your proficiency in the relevant subject matter. You should be thoroughly familiar with the subject matter before you...

101017 4th Grade Math Study Guide Credit by Exam for Acceleration or Credit Recovery The exam you are interested in taking is designed to test your proficiency in the relevant subject matter. You should be thoroughly familiar with the subject matter before you attempt to take the exam. This EA/CBE Study Guide can help you prepare for the exam by giving you an idea of what you need to review. You can check your familiarity level by reviewing the Texas Essential Knowledge and Skills (TEKS) for this course (see below). To refine your skills, you can refer to any of the state-adopted textbooks. Texas Essential Knowledge and Skills (TEKS) Every question that appears on this exam is derived from the knowledge and skills statements and student expectations within the Texas-mandated standards, the Texas Essential Knowledge and Skills (TEKS). You can view the TEKS for this exam online via the following link: http://ritter.tea.state.tx.us/rules/tac/chapter111/ch111a.html#111.6. Refer to section (b), Knowledge and skills, 1A–10E. Throughout this guide, you’ll see TEKS references. These refer to the numbers listed under (b) Knowledge and skills; for example, 1A or 3B. Materials Needed Paper exams You will need to bring a #2 pencil to complete the exam. You will receive a computer-graded answer sheet when you arrive at the testing center. The formula sheets at the end of this study guide will be provided during the exam. Calculators are not permitted. The proctor will provide scratch paper. Online Exams If necessary, materials will be provided by the testing center. Calculators are not permitted. Exam Structure You will be allowed 3 hours to complete this exam. The exam consists of 48 multiple-choice questions that are equally weighted. The exam covers the following 5 Objectives: Objective 1: Number and Operations (16 questions) Objective 2: Algebraic Reasoning (6 questions) Objective 3: Geometry and Measurement (16 questions) Objective 4: Data Analysis (5 questions) Objective 5: Personal Financial Literacy (5 questions) The University of Texas at Austin UT High School 1  EA4 M 35594 & 45594 CBE CR/A Study Guide Scholastic Honesty When you arrive at the testing center, you will be asked to carefully read the exam rules and sign a statement agreeing to take the exam in accordance with the rules. This is called the Examinee’s Certification. The following is a copy of these rules: Examinee’s Certification This certification must be signed before the exam is administered and then returned with the completed examination attached, or credit for the exam will not be given. Scholastic dishonesty is a serious academic violation that will not be tolerated. Scholastic dishonesty encompasses, but is not limited to: copying from another student’s work; using an unauthorized testing proctor or taking the exam at an unauthorized testing location; using materials not authorized by a testing proctor; possessing materials that are not authorized by a testing proctor, such as lessons, books, or notes; knowingly using or soliciting, in whole or part, the contents of an unadministered test; collaborating with or seeking aid from another student without authorization during the test; substituting for another person, or permitting another person to substitute for oneself, in taking a course test or completing any course-related assignment; using, buying, stealing, or transporting some or all of the contents of an unadministered test, test rubric, homework answer, or computer program. Evidence of scholastic dishonesty will result in a grade of F on the examination and an F in the course (if applicable). At the testing center, you will be asked to sign a statement that says you have read the above and agree to complete the examination with scholastic honesty. The University of Texas at Austin UT High School 2  EA4 M 35594 & 45594 CBE CR/A Study Guide General Study Tips The bulleted lists and sample questions in this study guide can assist you in preparing for the exam. It is a fairly complete guide, but does not cover every item on the test. Ultimately, you should use the TEKS to guide your exam preparation. Additional Study Tips The following information provides direction for your studies. For each part, you will find study tips and sample questions to give you a general idea of the types of questions you can expect to see on the exam. Objective 1: Numbers and Operations This part relates to your knowledge of place value, comparing numbers, word problems involving addition and subtraction, and identifying coins and their values. It includes 16 questions. Study Tips for Objective 1 This part relates to TEKS 2A–4H. Familiarize yourself with those TEKS, and then be prepared to demonstrate knowledge of the following topics: Interpret each place value position as either 10 times the position to the right or 1/10 of the value to the left Represent the value of digits in whole numbers through one billion and decimals through the hundredths Compare and order numbers to one billion Round whole numbers to a given place value through the hundred thousands place Represent decimals through the hundredths using models and money Compare and order decimals using models through the hundredths Relate decimals to fractions with denominators of 10 and 100 Determine the corresponding decimal to the tenths or hundredths place of a given point on a number line Represent a fraction as a sum of smaller fractions Decompose a fraction in more than one way Find equivalent fractions Compare fractions Solve problems involving adding and subtracting fractions using a variety of strategies Evaluate the reasonableness of sums and differences of fractions Add and subtract whole number and decimals to the hundredths place Multiply numbers by 10 or 100 Multiply and represent the product of 2 two-digit numbers using arrays, area models, or equations Divide and represent the quotient of up to a 4 digit number by a 1 digit number using arrays, area models, or equations Round numbers to the nearest tens, hundreds, or thousands place Solve 1 and 2 step problems involving multiplication and division including interpreting remainders The University of Texas at Austin UT High School 3  EA4 M 35594 & 45594 CBE CR/A Study Guide Sample Questions for Objective 1 The following are sample questions. You can find the correct answers listed at the end of this study guide, but try answering the questions without looking at the answers first to check your comprehension. DIRECTIONS: Select the BEST response to each of the following questions. 1. Ms. Miller has saved $2,272 to donate to 4 local libraries. If she wants to share the money equally among the 4 libraries, how much money will each library receive? A. $568 B. $569 C. $571 D. $9,500 2. Jenny sold Girl Scout cookies in the fall. Each box of cookies contains 28 cookies. Jenny sold 75 boxes of cookies and created the area model below to figure out how many total cookies she sold. Based on the area model, what is the next step to find the total number of cars on the lot? A. Add 20 + 8 + 70 + 5 to get a sum of 103. B. Add (70 × 5) and (20 × 8) to get a sum of 510. C. Add (20 × 70) + (8 × 5) to get a sum of 1,440. D. Add 1,400 + 560 + 100 + 40 to get a sum of 2,100. The University of Texas at Austin UT High School 4  EA4 M 35594 & 45594 CBE CR/A Study Guide 3. Mrs. Lee’s fourth grade students kept track of the daily high temperature each day during the school week. They plotted the temperatures on the number line below. According to the number line, which day had a high temperature of degrees? A. Friday B. Monday C. Thursday D. Wednesday 4. Charles made "# quarts of punch for a party. Which expression represents a sum of "# ? $ $ % ( A. + $ $ " " " ) ) ) ) ) B. + + + + + + + $ $ $ $ $ $ $ $ * ) C. + $ $ $ $ $ ) D. + + + $ $ $ $ The University of Texas at Austin UT High School 5  EA4 M 35594 & 45594 CBE CR/A Study Guide Objective 2: Algebraic Reasoning This part relates to your knowledge of analyzing and creating patterns and relationships. It includes 6 questions. Study Tips for Objective 2 This part relates to TEKS 5A-5D. Familiarize yourself with those TEKS, and then be prepared to demonstrate knowledge of the following topics: Represent multi-step problems with the 4 operations and a variable using strip diagrams and equations Represent number patterns following a given rule using an input output table Use models to determine the formulas for the perimeter and area of certain shapes Solve problems related to perimeter and area of rectangles Sample Questions for Objective 2 The following are sample questions. You can find the correct answers listed at the end of this study guide, but try answering the questions without looking at the answers first to check your comprehension. DIRECTIONS: Select the BEST response to each of the following questions. 5. The perimeter of Michael’s square coffee table is 192 inches. Which strip diagram represents the lengths of each side of Michael’s coffee table? A. B. C. D. The University of Texas at Austin UT High School 6  EA4 M 35594 & 45594 CBE CR/A Study Guide 6. Robert earns the same amount of money every Saturday for mowing the lawn. He created the table below to display the money he earns. If the pattern continued, what numerical expression could Robert use to find how much money he has earned after 12 Saturdays? A. 12 + 70 B. 12 × 35 C. 12 × 70 D. 35 ÷ 12 The University of Texas at Austin UT High School 7  EA4 M 35594 & 45594 CBE CR/A Study Guide Objective 3: Geometry and Measurement This part relates to your knowledge of attributes and properties of two-dimensional shapes and three-dimensional solids as well as units to describe length and time. It includes 16 questions. Study Tips for Objective 3 This part relates to TEKS 6A-7E. Familiarize yourself with those TEKS, and then be prepared to demonstrate knowledge of the following topics: Identify lines of symmetry for two-dimensional shapes Identify right, acute, and obtuse triangles Classify two-dimensional shapes based on whether or not they contain parallel or perpendicular lines or angles of specified sides Illustrate and determine the measure of an angle using a protractor Determine the measure of an unknown angle formed by two non-overlapping adjacent angles when given one or both angle measures Sample Questions for Objective 3 The following are sample questions. You can find the correct answers listed at the end of this study guide, but try answering the questions without looking at the answers first to check your comprehension. DIRECTIONS: Select the BEST response to each of the following questions. 7. Trina is thinking of a shape. She lists the characteristics of the shape below: Pair of parallel lines Pair of perpendicular lines 2 obtuse angles Based on the characteristics on her list, which of the following shapes could be Trina’s? A. C. B. D. The University of Texas at Austin UT High School 8  EA4 M 35594 & 45594 CBE CR/A Study Guide 8. Which angle measures more than 100º, but less than 140º? A. ∠ JPM B. ∠ KPN C. ∠ LPN D. ∠ JPL 9. Lorenya drew 4 shapes that all have more than 1 line of symmetry. Which 4 shapes could she have drawn? A B. C. D. The University of Texas at Austin UT High School 9  EA4 M 35594 & 45594 CBE CR/A Study Guide Objective 4: Data Analysis This part relates to your knowledge of collecting, organizing, displaying, and interpreting data. It includes 5 questions. Study Tips for Objective 4 This part relates to TEKS 8A-9B. Familiarize yourself with those TEKS, and then be prepared to demonstrate knowledge of the following topics: Identify relative sizes of units within the customary and metric systems Convert measurements within the same measurement system Solve problems dealing with measurement using any of the four operations Represent data in a frequency table, dot plot, or stem and leaf plot marked with whole numbers and fractions Solve one and two step problems using data from a frequency table, dot plot, or stem and leaf plot Sample Questions for Objective 4 The following are sample questions. You can find the correct answers listed at the end of this study guide, but try answering the questions without looking at the answers first to check your comprehension. The University of Texas at Austin UT High School 10  EA4 M 35594 & 45594 CBE CR/A Study Guide DIRECTIONS: Select the BEST response to each of the following questions. 10. Marlene has twelve cousins. She created the stem and leaf plot below to display the ages of her cousins. If Marlene wanted to display the same data in a frequency table, which of the following tables would she use? A. C. B. D. The University of Texas at Austin UT High School 11  EA4 M 35594 & 45594 CBE CR/A Study Guide 11. The distance from Harold’s house to his school is 5 kilometers. Which table correctly represents the distance from Harold’s house to his school in meters? A. B. C. D. The University of Texas at Austin UT High School 12  EA4 M 35594 & 45594 CBE CR/A Study Guide Objective 5: Personal Financial Literacy This part relates to your knowledge of managing financial resources effectively. It includes 5 questions. Study Tips for Objective 5 This part relates to TEKS 10A-10E. Familiarize yourself with those TEKS, and then be prepared to demonstrate knowledge of the following topics: Distinguish between fixed and variable expenses Calculate profit in a given situation Compare the advantages and disadvantages of different savings options Describe how to allocate a weekly allowance among spending, saving, and sharing Describe the basic purpose of financial institutions Sample Questions for Objective 5 The following are sample questions. You can find the correct answers listed at the end of this study guide, but try answering the questions without looking at the answers first to check your comprehension. DIRECTIONS: Select the BEST response to each of the following questions. 12. Susan’s father buys an old car for $1,500. He fixes up the car and records his expenses in the table below. If Susan’s father resells the car for $10,000, how much profit would he make? A. $2,300 B. $7,700 C. $8,700 D. $12,300 The University of Texas at Austin UT High School 13  EA4 M 35594 & 45594 CBE CR/A Study Guide 13. Will earns a weekly allowance of $20. He puts half of the allowance in his piggy bank to save for college. He donates $1 each week to a food shelter. He uses the leftover money to buy toys and save for a scooter. Which of the following correctly shows how Will could allocate his money for toys and a scooter? A. He spends $5 on toys and saves $5 for a scooter. B. He spends $4 on toys and saves $5 for a scooter. C. He spends $5 on toys and saves $14 for a scooter. D. He spends $10 on toys and saves $10 for a scooter. The University of Texas at Austin UT High School 14  EA4 M 35594 & 45594 CBE CR/A Study Guide Answer Key Item Number Correct Answer TEKS expectation 1 A 4E, 4F, 4H 2 D 4C, 4D 3 A 2H, 3G 4 B 3A, 3B 5 C 5A 6 B 5B 7 C 6A, 6C 8 B 7C 9 D 6B 10 A 9A, 9B 11 A 8B, 8C 12 B 10B 13 B 10D The University of Texas at Austin UT High School 15  EA4 M 35594 & 45594 CBE CR/A Study Guide The University of Texas at Austin UT High School 16