COMMON CORE STATE STANDARDS PREVIEW RATIOS AND PROPORTIONAL RELATIONSHIPS FORM
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1 COMMON CORE STATE STANDARDS Grade 6 Math & Review Packet EXPRESSIONS AND EQUATIONS GEOMETRY Includes 95 questions Reviews all CCSS domains by Angie Seltzer THE NUMBER SYSTEM RATIOS AND PROPORTIONAL RELATIONSHIPS STATISTICS AND PROBABILITY A Other math packets, supplements, and tracking tools are available from Angie Seltzer s online stores. See mathpaths.com for information and links. FORM Grade 6 Math & Review Packet, Contains: Self-assessment checklist of goals for each CCSS domain and cluster 95 review questions, organized by cluster 14 pages plus Answer Section For a parallel set of review questions, see the Grade 6 Math & Review Packet, Form B.
2 COMMON CORE STATE STANDARDS Grade 6 Math & Review Packet Domain Contents Pages EXPRESSIONS AND EQUATIONS 1-3 GEOMETRY 4-5 THE NUMBER SYSTEM 6-9 RATIOS AND PROPORTIONAL RELATIONSHIPS 9-10 STATISTICS AND PROBABILITY ANSWER SECTION 1-4 About the Goals Teacher s Notes This packet contains a list of goals/objectives for each cluster of content in the Common Core State Standards for Grade 6 mathematics. Cluster headings are taken directly from CCSS documents, and each cluster has 3 to 9 goals. The goals are clear and concise, in the style of typical chapter or lesson objectives. These were written by Angie Seltzer, a mathematics curriculum specialist with many years of educational publishing experience. To view these goals online and see related materials, visit Goals for Grades K-8 are available as checklists, posters, signs, and in Excel Goal Tracker spreadsheets. For many goals, sets of Multi-Match game cards are available to help students relate models to expressions. These cards can be used by students of all ability levels for review and/or remediation. About the Review Questions For each goal there are one or more review questions, usually in short-answer format. Multiple choice questions are included when a short-answer question could be ambiguous or confusing. Some questions require a drawing, a graph, or an explanation. There are also multiple response questions (with checkboxes) because that problem type is included in new multi-state assessments. This packet contains a total of 95 review questions that provide an excellent overview of all CCSS content for Grade 6. Using Beside the goals are item numbers of the related questions. For each goal, students should circle Yes or No to indicate whether they understand the concept. About the Domain Icons Each domain is represented by a letter-shaped icon that includes elements to denote key content. For example, the E icon includes variables and the S icon includes a circle graph and a spinner. Domain icons provide a quick way to identify the domain or strand of content on the pages. Grade 6 Math & Review Packet,, (Published 04/18/2014, Updated 02/09/2015) Copyright Seltzer Productions, LLC, 549 Acorn Drive, Dayton, Ohio Written and illustrated by Angie Seltzer. All Rights Reserved. The original purchaser has permission to print and copy pages of this document for use in only one classroom. Further distribution of any portion of the printed or electronic document or electronic posting of the file on any storage or retrieval system is prohibited without written permission from the publisher. If you would like to share this file, please purchase an additional copy for each recipient. If you re using this product and did not purchase it, then please visit for links to the author s online stores and then purchase your own copy. Thank you for respecting the hard work of this author. Find out about related products at Highlighted cluster statements National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.
3 Name: Class: Date: STATISTICS AND PROBABILITY Do you understand the skills below? Answer the review questions. Then mark YES or NO for each skill. DOMAIN S CLUSTER 1: Develop understanding of statistical variability. Review Questions Do you understand? 1. Recognize statistical questions. [6.SP.1] 78 YES NO 2. Describe the center, spread (range), and shape of data YES NO on a dot plot. [6.SP.2] 3. Find the median of a data set. [6.SP.2] YES NO 4. Find the mean of a data set. [6.SP.2] YES NO 5. Recognize measures of center and variation of data. [6.SP.3] 85 YES NO 78. Which of these are statistical questions? Mark ( ) the answers. (a) What was the high temperature in Boston on January 1st of this year? (b) How many students in your class brought a lunch from home today? (c) What is a typical height of a student in sixth grade? (d) Which pets, cats or dogs, are more popular with retired people? 79. The dot plot shows ages of 30 students at a nature center. Complete each sentence about the data using the words cluster, gap, peak, or symmetry. There is a from 7 to What is the range of the ages of students shown by the dot plot in Question 79? 81. What is the median of the ages shown on the dot plot in Question 79? There is a from 10 to Six students were given a jigsaw puzzle to put together. Each student s time was recorded and the results are shown. 12 min. 16 min. 11 min. 14 min. 11 min. 20 min. What is the median of the times? 83. What is the mean of the times in Question 82? Copyright Seltzer Productions LLC and Review (SAR6-A) Page 11
4 Name: Class: Date: 84. What is the mean of 50, 43, 36, 57, and 29? 85. Are the mean and median measures of center or measures of variation? DOMAIN S CLUSTER 2: Summarize and describe distributions. Review Questions Do you understand? 1. Find quartiles and interquartile range. [6.SP.5c] 86 YES NO 2. Display and describe data on box plots. [6.SP.4] YES NO 3. Display and describe data on histograms. [6.SP.4] YES NO 4. Find the mean absolute deviation of a data set. 93 YES NO [6.SP.5c] 5. Summarize data sets in relation to their context. [6.SP.5] YES NO 86. These 20 ages of children on a school bus are in order from least to greatest. 5, 5, 5, 6, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 12, 14, 14, 14, 15, 17 a. Write five numbers to summarize the data. Minimum First Quartile Median Third quartile Maximum b. What is the interquartile range? 87. Draw a box plot to represent the data in Question At a school, heights of 100 boys and 100 girls age 14 were measured. These two box plots show the results. a. Did boys or girls have a greater range in height? b. To the nearest whole inch, what was the median height of the girls? Copyright Seltzer Productions LLC and Review (SAR6-A) Page 12
5 Name: Class: Date: 89. The histogram shows the ages of people who attended a movie, grouped as 0-9, 10-19, and so on. How many people ages 50 or older attended the movie? 90. How many people s ages are shown in the histogram for Question 89? 91. In what 10-year interval was the median age of people who attended the movie? 92. A snack shop owner kept track of purchases from customers for an hour. The purchase amounts ($) are shown in the box, in order from least to greatest. $ Complete the histogram to show the frequency of purchases from 0 to 0.99, $1 up to $1.99, $2 up to $2.99, and so on. The first bar is shown. PURCHASE AMOUNTS Copyright Seltzer Productions LLC and Review (SAR6-A) Page 13
6 COMMON CORE STATE STANDARDS Grade 7 Math & Review Packet EXPRESSIONS AND EQUATIONS GEOMETRY Includes 100 questions Reviews all CCSS domains by Angie Seltzer THE NUMBER SYSTEM RATIOS AND PROPORTIONAL RELATIONSHIPS STATISTICS AND PROBABILITY A Other math packets, supplements, and tracking tools are available from Angie Seltzer s online stores. See for information and links. FORM Grade 7 Math & Review Packet, Contains: Self-assessment checklist of goals for each CCSS domain and cluster 100 review questions, organized by cluster 11 pages plus Answer Section For a parallel set of review questions, see the Grade 7 Math & Review Packet, Form B.
7 COMMON CORE STATE STANDARDS Grade 7 Math & Review Packet Domain Contents Pages EXPRESSIONS AND EQUATIONS 1-2 GEOMETRY 3-4 THE NUMBER SYSTEM 5-6 RATIOS AND PROPORTIONAL RELATIONSHIPS 7-8 STATISTICS AND PROBABILITY 9-11 ANSWER SECTION 1-4 About the Goals Teacher s Notes This packet contains a list of goals/objectives for each cluster of content in the Common Core State Standards for Grade 7 mathematics. Cluster headings are taken directly from CCSS documents, and each cluster has 2 to 9 goals. The goals are clear and concise, in the style of typical chapter or lesson objectives.these were written by Angie Seltzer, a mathematics curriculum specialist with many years of educational publishing experience. To view these goals online and see related materials, visit Goals for Grades K-8 are available as checklists, posters, signs, and in Excel Goal Tracker spreadsheets. For many goals, sets of Multi-Match game cards are available to help students relate models to expressions. These cards can be used by students of all ability levels for review and/or remediation. About the Review Questions For each goal there are one or more review questions, usually in short-answer format. Multiple choice questions are included when a short-answer question could be ambiguous or confusing. Some questions require a drawing, a graph, or an explanation. There are also multiple response questions (with checkboxes) because that problem type is included in new multi-state assessments. This packet contains a total of 100 review questions that provide an excellent overview of all CCSS content for Grade 7. Using Beside the goals are item numbers of the related questions. For each goal, students should circle Yes or No to indicate whether they understand the concept. About the Domain Icons Each domain is represented by a letter-shaped icon that includes elements to denote key content. For example, the R icon includes two proportionate semicircles and the S icon includes a circle graph and a spinner. Domain icons provide a quick way to identify the domain or strand of content on the pages. & Review Packet, Grade 7 (Published 06/10/2014, Updaed 02/06/2015) Copyright Seltzer Productions, LLC, 549 Acorn Drive, Dayton, Ohio Written and illustrated by Angie Seltzer. All Rights Reserved. The original purchaser has permission to print and copy pages of this document for use in only one classroom. Further distribution of any portion of the printed or electronic document or electronic posting of the file on any storage or retrieval system is prohibited without written permission from the publisher. If you would like to share this file, please purchase an additional copy for each recipient. If you re using this product and did not purchase it, then please visit for links to the author s online stores and then purchase your own copy. Thank you for respecting the hard work of this author. Find out about related products at Highlighted cluster statements National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.
8 Name: Class: Date: DOMAIN G CLUSTER 2: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Review Questions Do you understand? 1. Recognize relationships between parts of a circle. [7.G.4] 24 YES NO 2. Apply formulas for circumference and area of circles YES NO [7.G.4] 3. Solve equations to find supplementary, complementary, YES NO vertical, and adjacent angles. [7.G.5] 4. Solve problems involving area and surface area. [7.G.6] YES NO 5. Solve problems involving volume of rectangular prisms. [7.G.6] 32 YES NO 24. The diameter of a circle is 6 centimeters long. What is the radius? 25. What is the circumference of a circle that has a radius of 1.4 inches? Round the answer to the nearest tenth. 26. What is the area of a circle that has a diameter of 12 feet? Round the answer to the nearest whole number. 27. The area of a circle is 81π square meters and its circumference is nπ meters. What is the value of n? 28. Angle MOP is a right angle. Write and solve an equation with n to find the measure of angle AOP. 29. Expressions for the measures of AOD and BOC are shown. Write and solve an equation to find c. Then find m AOD. Equation: c = m AOD = 30. The surface area of a cube is 486 square inches. What is the length of each edge of the cube? 31. One leg of a right triangle is 16 centimeters long, and the area of the triangle is 152 square centimeters. What is the length of the second leg of the triangle? 32. The volume of a box is 0.75 cubic feet. The length is 18 inches and the width is 12 inches. What is the height of the box in inches? Copyright Seltzer Productions LLC and Review (SAR7-A) Page 4
9 Name: Class: Date: THE NUMBER SYSTEM Do you understand the skills below? Answer the review questions. Then mark YES or NO for each skill. DOMAIN N CLUSTER 1: Apply and extend previous Review Do you understandings of operations with fractions to add and Questions understand? subtract rational numbers. 1. Relate sums of rational numbers to movements or YES NO situations. [7.NS.1ab] 2. Relate subtraction of rational numbers to adding the YES NO opposite. [7.NS.1c] 3. Find distance between rational numbers on a number 38 YES NO line. [7.NS.1c] 4. Add and subtract integers. [7.NS.1d] YES NO 5. Add and subtract rational numbers. [7.NS.1d] YES NO 33. In football, a gain can be shown as a positive number, while a loss is negative. Write an equation for finding the overall gain when a gain of 8 yards is followed by a loss of 10 yards. Then find the gain or loss. 34. A plane was flying at an altitude of 18,600 feet above the ocean and then descended 4,000 feet. Next it acsended 6,500 feet and leveled off. What was the new altitude? 35. What numbers are 1.4 units from Point C? 36. Adding 34 is the same as subtracting what number? 37. Mark ( ) the choice(s) with the same value as 87 ( 23) What is the distance between the two numbers shown on the number line? 39. What is the sum of 34 and 20? 40. Add: Subtract: 25 ( 5) 42. Subtract: Simplify. 5 + ( 12) Simplify Ê 3 ˆ ËÁ What is the value of the expression? ( 5) 46. Simplify: Write the answer as a decimal. Copyright Seltzer Productions LLC and Review (SAR7-A) Page 5
10 Name: Class: Date: DOMAIN R CLUSTER 2: Solve multi-step percent problems. Review Questions Do you understand? 1. Use percent to solve simple interest and tax problems YES NO [7.RP.3] 2. Use percent to solve markup and markdown problems YES NO [7.RP.3] 3. Use percent to solve problems about tips, commissions, YES NO and fees. [7.RP.3] 4. Solve problems about percent of increase or decrease YES NO [7.RP.3] 5. Calculate percent error. [7.RP.3] 83 YES NO 73. A person buys a shirt for $25.50 plus 8% tax. What is the total price? 74. Suppose you deposit $500 into a savings account. If the account pays 0.5% interest per month, how much money will be in the account after one month? Assume that you do not withdraw any money. 75. The price of a baseball cap is marked down 25% from the original price of $ What is the sale price? 76. A store owner paid $8.20 each for shirts and sold them for $20.50 each. What was the percent markup? 77. Taylor has an online bank account that charges a fee of 2.3% on each deposit. What is the fee for a deposit of $62.50? Round to the nearest cent. 78. Ryan and his family paid $56.00 for a restaurant meal. They want to leave a tip of 15% for their server. How much tip should they leave? 79. A salesperson earns a salary plus commission for high total sales in a week. The commission is 18% on the portion of sales above $6,000. How much commission will the salesperson earn if the total sales amount in a week is $21,000? 80. A store raised the price of a toaster from $25.95 to $ What was the percent increase in price? Round your answer to the nearest percent. 81. At an event, attendance on Monday was 900. Tuesday s attendance was 20% higher than on Monday, and Wednesday s attendance was 20% lower than on Tuesday. Find Tuesday s attendance and Wednesday s attendance. Tuesday: Wednesday: 82. Refer to Question 81. Is Wednesday s attendance the same as on Monday? Explain why or why not. _ 83. A student estimated the height of a tree as 47 feet. If the actual height is 53 feet, what is the percent error rounded to the nearest percent? (Hint: Compare the estimated height to the actual height.) Copyright Seltzer Productions LLC and Review (SAR7-A) Page 8
11 COMMON CORE STATE STANDARDS Grade 8 Math & Review Packet EXPRESSIONS, EQUATIONS, & FUNCTIONS Includes 70 questions Reviews all CCSS domains by Angie Seltzer GEOMETRY THE NUMBER SYSTEM STATISTICS AND PROBABILITY A FORM Grade 8 Math & Review Packet, Contains: Self-assessment checklist of goals for each CCSS domain and cluster 70 review questions, organized by cluster 11 pages plus Answer Section For a parallel set of review questions, see the Grade 8 Math & Review Packet, Form B. Other math packets, supplements, and tracking tools are available from Angie Seltzer s online stores. See mathpaths.com for information and links.
12 COMMON CORE STATE STANDARDS Grade 8 Math & Review Packet () Domain Contents Pages EXPRESSIONS, EQUATIONS, AND FUNCTIONS 1-5 GEOMETRY 6-9 THE NUMBER SYSTEM 9-10 STATISTICS AND PROBABILITY ANSWER SECTION 1-3 About the Goals Teacher s Notes This packet contains a list of goals/objectives for each cluster of content in the Common Core State Standards for Grade 8 mathematics. Cluster headings are taken directly from CCSS documents, and each cluster has 3 to 9 goals. The goals are clear and concise, in the style of typical chapter or lesson objectives.these were written by Angie Seltzer, a mathematics curriculum specialist with many years of educational publishing experience. To view these goals online and see related materials, visit Goals for Grades K-8 are available as checklists, posters, signs, and in Excel Goal Tracker spreadsheets. For many goals, sets of Multi-Match game cards are available to help students relate models to expressions. These cards can be used by students of all ability levels for review and/or remediation. About the Review Questions For each goal there are one or more review questions, usually in short-answer format. Multiple choice questions are included when a short-answer question could be ambiguous or confusing. Some questions require a drawing, a graph, or an explanation. There are also multiple response questions (with checkboxes) because that problem type is included in new multi-state assessments. This packet contains a total of 70 review questions that provide an excellent overview of all CCSS content for Grade 8. Using Beside the goals are item numbers of the related questions. For each goal, students should circle Yes or No to indicate whether they understand the concept. About the Domain Icons Each domain is represented by a letter-shaped icon that includes elements to denote key content. For example, the E icon includes variables and the S icon includes a circle graph and a spinner. Domain icons provide a quick way to identify the domain or strand of content on the pages. Note that the Functions domain has been combined with Expressions and Equations. Grade 8 Math & Review Packet, (Published 05/30/2014, Updated 02/06/2015) Copyright Seltzer Productions, LLC, 549 Acorn Drive, Dayton, Ohio Written and illustrated by Angie Seltzer. All Rights Reserved. The original purchaser has permission to print and copy pages of this document for use in only one classroom. Further distribution of any portion of the printed or electronic document or electronic posting of the file on any storage or retrieval system is prohibited without written permission from the publisher. If you would like to share this file, please purchase an additional copy for each recipient. If you re using this product and did not purchase it, then please visit for links to the author s online stores and then purchase your own copy. Thank you for respecting the hard work of this author. Find out about related products at Highlighted cluster statements National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.
13 Name: Class: Date: DOMAIN E CLUSTER 3: Analyze and solve linear equations and pairs of simultaneous linear equations. 1. Simplify and solve linear equations by writing equivalent forms. [8.EE.7a] 2. Identify or write equations with 0, 1, or infinitely many solutions. [8.EE.7a] 3. Simplify and solve linear equations with rational coefficients. [8.EE.7b] 4. Identify the solution to a system of two linear equations as the intersection point. [8.EE.8a] 5. Solve systems of two linear equations algebraically. [8.EE.8b] 6. Estimate the solution to two linear equations by graphing. [8.EE.8b] 7. Solve problems involving systems of two linear equations. [8.EE.8c] Review Questions Do you understand? 16 YES NO 17 YES NO YES NO 21 YES NO 22 YES NO 23 YES NO 24 YES NO 16. Solve the equation 0.7x = Solve the system. Write the solution as an ordered pair. 17. For what value of k does the system of equations have an infinite number of solutions? 5x = 2y x 4y = k 18. Solve: 3x = 2 3x + 4y = 6 and 7x y = Graph the two equations. y = 3 4 x 19. Solve: 5(n + 7) = 7(n 5) 20. Solve the equation: 2(x + 0.5) = 3( 3x + 2) y = x Use the graphs to estimate the solution to the system. 21. The coordinate grid shows the graphs of y = 2x and y = 9 x. What values of x and y make both equations true? 24. Jan has $30 in her piggy bank, and her brother Brady has $35 in his piggy bank. Suppose Jan adds $1.50 per day, and Brady adds $1 per day. Write and solve a system of equations. In how many days will Jan and Brady have the same amount of money? How much will they have? Copyright Seltzer Productions LLC and Review (SAR8-A) Page 3
14 Name: Class: Date: DOMAIN G CLUSTER 2: Understand and apply the Pythagorean Theorem. Review Questions Do you understand? 1. Explain a proof of the Pythagorean Theorem and its YES NO converse. [8.G.6] 2. Use the Pythagorean Theorem to find lengths. [8.G.7] YES NO 3. Use the Pythagorean Theorem to find distance between points. [8.G.8] YES NO 47. A right triangle has legs of lengths 5 units and 11 units. Four of these triangles can be arranged as a large square around a smaller square with sides equal to Use this information to find the area of the large square and the length c. Show your work on separate paper. 50. What is the missing side length of this right triangle? Round the answer to two decimal places. _ 51. Find the distance between the two labeled points on the grid below. Round to two decimal places. 48. The lengths of three sides of a triangle are 7 meters, 10 meters, and 13 meters. Is the triangle a right triangle? Explain. 49. What is the slant height (s) of the square pyramid? Round to two decimal places. _ 52. Suppose a person starts at a flagpole and walks 200 yards due west and then 300 yards due north. How far is the person from the flagpole? Round to the nearest whole number. Copyright Seltzer Productions LLC and Review (SAR8-A) Page 8
15 Name: Class: Date: 60. Evaluate 47 as a decimal to the nearest tenth. _ 61. Evaluate to the nearest hundredth. _ STATISTICS AND PROBABILITY Do you understand the skills below? Answer the review questions. Then mark YES or NO for each skill. DOMAIN S CLUSTER 1: Investigate patterns of association in bivariate data. Review Questions Do you understand? 1. Construct scatter plots. [8.SP.1] 62 YES NO 2. Interpret scatter plots. [8.SP.1] YES NO 3. For data that appear to be linear, estimate a line of best 65 YES NO fit. [8.SP.2] 4. Informally assess the fit of a linear model. [8.SP.2] 66 YES NO 5. Interpret a linear model for real-world data. [8.SP.3] 67 YES NO 6. Compare frequencies and relative frequencies from two-way tables. [8.SP.4] YES NO 62. Plot the ordered pairs on the coordinate grid. Choose and label appropriate scales. (25, 50), (5, 10), (26, 25), (36, 31), (17, 46), (14, 18), (24, 20) 64. In Question 62, do any points appear to be outliers? Explain. 65. The graph shows ten ordered pairs and an estimated line of best fit. 63. Refer to Question 62. Is the correlation positive or negative? Explain. Which of the following is the equation of the estimated line of best fit? A. y = x B. y = x C. x = 49 D. y = x Copyright Seltzer Productions LLC and Review (SAR8-A) Page 10
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