grade 6 lesson 3: equivalent ratios answer key

F. Compare the unit rates you found for the blocks of classes. Answer: Answer: Question 5. Explain. The ratio of each runner is 4:5 3 2 : 7 2 = 6:14 Exercise 2. If Laney ran 930 meters, how far did Mason run? Complete the table for 3 and 4 times the original batch size of the recipe. A. LESSON 16. Ms. Markuss students write 10 lines in 1 hour. Answer: The ratio is 1:4. There are 35 boys in the sixth grade. Equivalent ratios: word problems 9. Grade 6 lesson 3 equivalent ratios answer key is a software program that supports students solve math problems. Are the ratios of miles to minutes equivalent? Exercise 4 Add equivalent ratios to build a ratio table. Thus Min-Seo and Orlando get the same ratio has the same ratio. Turn and Talk How can you find unknown values in a table of equivalent ratios? 3: 1 and 3 to 1. Thus the ratios of miles to minutes are equivalent. Compare the ratio of sprints to laps that each runner is supposed to run to the ratio of sprints to laps that Megan ran during practice. From the table, we can see that for 4 cups of water she will need 3 cups of frozen concentrate. Answer: Multiply both numbers of the ratio by the same number (any number you choose). Lesson 3: Equivalent ratios. Unit 6: Unit 6: Expressions and equations. Answer: x 10 = 140 [emailprotected] - (850) 234-7777. Scroll down the page for more examples and solutions. A man is dead following a motorcycle crash on Stoney Trail. Kim takes dance classes. Eric lays tile on a floor at a constant rate. 2 pairs of headphones = 2 12 = 24 The ratio of bracelets to beads is 1:16 Exercise 1 Justify your answer by showing that the new ratio you created of the number of walnuts to the number of cashews is equivalent to 5: 6. b. The unit rate at which the train travels is 60 miles. Answer: It takes the train 7 hours to travel that distance _______________________ Answer: Answer: Did Megan use the correct ratio for her running drills? Paul should add 36 gallons of water. Explain. Complete each table. The ratio of the width of the rectangle to the height of the rectangle is ____ to ____. Try the given examples, or type in your own Lesson 1: Tape diagrams and equations Lesson 2: Truth and equations Lesson 3: Staying in balance Lesson 4: Practice solving equations and representing situations with equations Lesson 5: A new way to interpret a over b Extra practice: Equations Lesson 6: Write expressions where . The ratio of Jian is 3:4 STEM Calcium chloride is a salt used in the production of cheese. The ratio of the length of Shannis ribbon to the length of Mels ribbon is 7:3. Choose all that apply. 1 Josie is training for a race. b. b. ______________________________ Answer: The table shows the number of parts of each element in two different-sized samples of steel. ft. B. Graph the information from the table. Answer: We are asked to find the cost per class. e. How did you find the numbers? Answer: Descriptions should include multiplicative comparisons, such as 12 is 3 times 4 and 32 is 8 times 4. The length of a path from a picnic area to the playground is \(\frac{3}{4}\) mile. Number of parts of carbon in sample 2 = 1.5 Solving ratio problems with tables. To write a ratio: Determine whether the ratio is part to part or part to whole. Decide whether or not each of the following pairs of ratios is equivalent. If Josie missed 20 questions, how many did she get right? A. Kim pays $90 for every block of 5 dance classes. Explain. Exercise 2 If Mrs. Erno spends $84, how much did Mrs. Cramer spend? Answer: a. What is the total cost for 5 nights? Answer: Therefore 6 signs are placed along the path at the beginning of the path but not at the end. Each time the number of boxes increases by 1, the number of Tulips increases by 6 So, for 2 boxes, 6 + 6 = 12 Tulips For 3 boxes, 12 + 6 = 18 Tulips For 4 boxes, 18 + 6 = 24 Tulips Question 6. Did the assistant use the correct ratio of perch to bass in the second pond? Which ratio of apple juice to orange juice could Deon use? lesson 6 skills practice equivalent ratios answer key. That ratio is equivalent to 5: 6. Turn and Talk Is there another way you could have compared the recipes for orange juice? Panama City Police are at the scene of a crash. Then graph the data. So, ____ orange juice will have a weaker flavor. x = 56/2 Question 8. ______________ 5 = 90 ?__R You are using an outdated browser and it's not supported. For 1 pitcher he needs 3 cups of water and 2 cups of frozen concentrate. Compared to all three classes the cost per class in the 10-class block is less than 5th class and 8th class. The magnitude of a single number is the positive version of that number. Answer: What is the magnitude of -9? Question 1. Lesson 3 Ratio Word Problem Number of parts of iron in sample 1 = 90 A. _______________________ More Lessons for Grade 6 The table shows the amount of sour cream and milk he will need if he doubles the recipe. Answer: Is a rate always a ratio? Please upgrade your browser to improve your experience. Answer: For every two dollars that Pam saves in her account, her brother saves five dollars in his account. 0/3000 Mastery points. B. Amaris friend Gabriela also makes orange juice from the same frozen concentrate. Answer: Exercise 1. Determine a ratio to describe the money in Pams account to the money in her brothers account. 5 lines for 30 minutes Which class, Ms. Markus class or Ms. Sanchezs class, writes code faster? Jasmine said, That would mean 24 of us have overdue books! Grace argued, No way. Answer: Exercise 4. Answer: _______________________ ______________ Jian and Leona do not have the same ratio of responses. ______________________________ Please upgrade your browser to improve your experience. Lesson 6 Introducing Double Number Line Diagrams; Lesson 7 Creating Double Number Line Diagrams; Lesson 8 How Much for One? _______________ To see all our guides, please visit the Enhance Instruction section, Grade 6 Mathematics Module 1, Topic A, Lesson 6: Student Version, Grade 6 Mathematics Module 1, Topic A, Lesson 6: Teacher Version. Ms. Markus also teaches computer programming. Two pet stores both sell canaries and parrots. Mrs. Morales teaches computer programming. Answer: Lonnie says that means the ratio of the number of boys in the sixth grade to the number of girls in sixth grade is 5: 7. The ratio of batch 8 is 1 8: 4 8 = 8:32 = 1:4. Students can write 12 line in 1 hour. Complete the table of equivalent ratios relating the number of calcium atoms to chlorine atoms in 1, 2, 3, 4, and 5 molecules of calcium chloride. Represent Ratios and Rates with Tables and Graphs. Hank has a recipe that calls for the ingredients shown per batch. LESSON 16. From EngageNY.org of the New York State Education Department. By using the graph given above we can find the ratios are represented by a point on the graph. UnboundEd and EngageNY are not responsible for the content, availability, or privacy policies of these websites. Example 1. The ratio of Min-seo is 4:5 Solve each problem. Answer: Exercise 3 Thus Tims paint will be darker than Gregs paint. Math on the Spot Eric lays tile on a floor at a constant rate. Then describe what it means. 00. Record the equivalent ratio. x = 50 The ratio of the number of laps Mason ran to the number of laps Laney ran was 2 to 3. Answer: The magnitude of -9 is 9. Ms. Markus also teaches computer programming. Do My Homework. For every 3 steps the father takes, the son takes 5 steps just to keep up. Grade 6 Mathematics Module 1, Topic A, Lesson 6. What row in each table has the same first or second quantity? _______________________ Use a tape diagram to support your answer. The managers assistant put 54 yellow perch and 16 largemouth bass in a second pond. lesson 6 equivalent ratios page 65 answer key. Each bracelet used the same number of beads. Draw a tape diagram to demonstrate how you found the answer. Lesson 3: Equivalent ratios. In art class, Greg makes gray paint by mixing 3 parts black paint to 8 parts white paint. Students use the original recipe to form ratios of ingredients that represent double, half, five times, and one-fifth of the recipe. Learn vocabulary, terms, and more with flashcards, games, and other study tools. The managers assistant put 54 yellow perch and 16 largemouth bass in a second pond. A train travels at a constant speed for 420 miles. Vivian scored 8 out of 10 on a quiz. The constant number, c, is 4. The ratio of the number of sunny days to the number of cloudy days in this town is 3: 1. Big Ideas Math Answers Grade 7 Accelerated, Bridges in Mathematics Grade 3 Student Book Unit 6 Module 1 Answer Key, Bridges in Mathematics Grade 3 Student Book Unit 6 Module 2 Answer Key, Bridges in Mathematics Grade 3 Student Book Unit 6 Module 3 Answer Key, Bridges in Mathematics Grade 3 Student Book Unit 6 Module 4 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 4 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 3 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 2 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 1 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 7 Module 2 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 3 Module 2 Answer Key. The ratio of parrots to the Canaries is 6:10 = 3:5 Question 1. Two pet stores both sell canaries and parrots. Answer: c. What ratios can we say are equivalent to 2: 9? To get a whole number value for both quantities, he needs to add 2 eggs and 2 tablespoons of flour to have an eggs-to-flour ratio of 4:6. Answer: . 40: 100. Complete the double number line to find equivalent ratios to 3 acres of lettuce to 7 acres of tomatoes. \(\frac{3}{7}\) \(\frac{1}{3}\) Therefore -10 is smaller than 10 The ratio of Orlando is 8:10 = 4:5 _________________ Complete the table and describe the strategies you used to fill in the missing quantities. At Wild Bills Wildlife Sanctuary, there are 3 elephants for every 2 rhinos. a. To see all our guides, please visit the Enhance Instruction section, Grade 6 Mathematics Module 1, Topic A, Lesson 5: Student Version, Grade 6 Mathematics Module 1, Topic A, Lesson 5: Teacher Version. In Unit 1, sixth-grade students have the opportunity to study a concept that is brand new to them: ratios. Write two ratios that are equivalent to 3: 11. The cost per class is $14. x 2 = 210 Answer: Thus the cost of 1 pound bag is $1.03. 59.95 + 19.18 = 79.13 The table shows the amount of money that Roberto earns mowing lawns. Find the quotient. Gabriela uses more water than Amari. 1 pair of headphones = $12 Lesson 3 The cost per class = x 120 = 8x No, Lonnie is not correct. E. 40 cups of apple juice for every 56 cups of orange juice Draw a tape diagram to demonstrate how you found the answer. What is the unit rate per night? What rate can you write to represent this block of classes? He covers a 150-square-foot floor in 3 hours. Lesson Plans and Worksheets for all Grades If Josie missed 8 questions, how many did she get correct? If Pam has 40 dollars in her account, how much money does her brother have in his account? x 2 = 56 Answer: _______________________ 8 : 11 Answer: I Can use a table or graph to find equivalent ratios and use the ratios to solve problems. Question 4. ft 5 cups of apple juice for every 8 cups of orange juice If Mason ran 4 miles, how far did Laney run? 18 lines for 2 hours The ratio of the number of problems Josie got incorrect to the number of problems she got correct is 2: 9. Roberto earn $90 for 3 lawns mowed = 90/3 = 30 What is the total cost? The ratio of Megan is 8:11 Answer: $5.15 per 5-pound bag ___________________________ Answer: 4/9 > 3/8 x = 28 lesson 6 1 hour Solving Problems by Finding Equivalent Ratios (Continued) Students continue to use tape diagrams to solve equivalent ratio problems. The ratio of time to cost is 2:25 C. $6 per pair of headphones Answer: A. In art class, Greg makes gray paint by mixing 3 parts black paint to 8 parts white paint, while Tim makes gray paint by mixing 4 parts black paint to 9 parts white paint. _____ A ratio is a comparison of two quantities. Question 7. 5 times 9 equals 45. The ratio is 4:9 The ratio of Isabellas money to Shanes money is 3: 11. The values of the ratios in the table should all be equal since the ratios in the table are equivalent. Ms. Sanchezs students write 12 lines in 1 hour. They each handed out 100 surveys. _______________________ Yes because the income of Robert depends on the number of lawns mowed. Thus the unit rate per night is $105. 9/15 = 3/5 = 3:5 These activities are perfect for math workshop stations, homework, and independent practice.Included in this product:* Equivalent Ratios 2 x 3 Puzzle- Students cut out the 6 puzzle pieces and match the questions with the answers. 1 soccer practice = x Answer: Explanation: There is 1 box for every 6 Tulips. Answer: x = 140/10 Did Min-seo and Orlando get the same ratio ___ uses more water than ____. The ratio of the width of the rectangle to the height of the rectangle is 9 to 4 . 3 Cups of raisins/5 Cups of peanuts Students use tape diagrams to solve equivalent ratio problems. x 3 = 150 The ratio is 1:105 C. Write a ratio of cups of sour cream to cups of milk for each batch size of the recipe in the table. x = 210/2 = 105 What did you do to find the answer? Question 2. 24:33 = 8:11 B. Graph the data from the table. For a project in their health class, Jasmine and Brenda recorded the amount of milk they drank every day. Question 5. Thus the cost of 1 stay is $105 Write two ratios that are equivalent to 3: 11. . Given, Answer: %PDF-1.6 % Grade 6 Mathematics Module 1, Topic A, Lesson 5. Each student writes an average of 9 lines of code per hour. The ratio of trail mix packs to bottles of water is 2:3 Answer: 3 soccer practices = 45 minutes Answer: Find Equivalent Ratios continued The following Ratio Cards are not used: The Ratio is 3:8 ______________________________ ____ Thus the cost of 1 book is $18. Explanation: 36 lines for 4 hours Explanation: The cost per class in the 10-class block is 14. 32:44 = 8:11. Answer: They learn how to use ratio language to describe the association between two or more quantities, expanding their abilities to analyze relationships and see multiplicative patterns. The ratio of batch 7 is 1 7: 4 7 = 7:28 = 1:4 5 pound = $5.15 You would have to know the total number of sixth-grade students, and then see if the ratio 24: total is equivalent to 2: 7. The unit rate of parts iron to parts all other elements including carbon is Jasmine drank 4 cups of milk, and Brenda drank 6 cups of milk. . ______________________________ How can you use that quantity to compare the ratios? The ratio of Leona is 10:12 is 5:6 The beads are multiple of 16. 420 7 = 60 Grade 6 Mathematics Student At-Home Activity Packet This At-Home Activity Packet includes 21 sets of practice problems that align to important math concepts your student has worked with so far this year. Four students in Mr. Morales math classes are conducting surveys in their school. At Wild Bills Wildlife Sanctuary, there are 3 elephants for every 2 rhinos. The ratio of batch 2 is 2:8 = 1:4 Question 1. B. Answer: Answer: Question 3. Explain. B. Ms. Sanchez also teaches computer programming. Question 3. Answer: b. Complete the ratio table to answer the questions that follow. Mason and Laney ran laps to train for the long-distance running team. A. Answer: Show why or why not. 8: 36 and 20: 90. d. Come up with another possible ratio of the number Josie got incorrect to the number she got correct. Answer: Javier has a new job designing websites. Jasmine drank 2 pints of milk each day, and Brenda drank 3 pints of milk each day. 3 4 : 8 4 = 12:32, Question 3. ___________________________ For every two cups of water, she needs to mix in three cups of flour to make the paste. Kim pays $90 for every block of 5 dance classes. Gabriela: In row ___, she uses cups of concentrate. ________ No, an equivalent ratio would be ________. c. What ratios can we say are equivalent to 2:3? The following diagram shows how to use tape diagrams to solve equivalent ratio problems. Answer: Question 2. The table shows the total costs of stays for different numbers of nights. Choose 2 answers: Choose 2 answers: He could add 0.5 tablespoon and 1 egg and have the right egginess, with an eggs-to-flour ratio of 3:4.5. Explain. 1 5 : 3 5 = 5 : 15, Question 4. Thus the cost per class is $15. Draw a tape diagram to represent this ratio. Question 3. The ratio of the number of walnuts to the number of cashews is 45: 54. Answer: Madsen farms have a greater ratio of acres of lettuce to acres of tomatoes. C. What do you notice about the points on the graph? Trail mix packs are multiples of 2 and bottles of water are multiples of 3. How many cups of cornmeal should be added to 45 gallons of water?
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