Name: _________________________________ Using Ratios to Make Predictions Friendship Bracelets Yvette was making friendship bracelets for her 4 friends. On each bracelet, she put 3 orange beads and 4 green beads. Yvette used a table to organize her information. Help Yvette complete the table below to determine how many orange and how many green beads she will need to make all 4 bracelets. Use centimeter cubes to model the bracelets. Number of Bracelets 1 Number of Orange Beads 3 2 Number of Green Beads Representing the Ratio of Orange to Green Beads 4 8 Picture o o o o o o g g g g g g g g 2 groups of 3 orange beads to 4 green beads with words with fraction bar with colon 3 6 8 3:4 How many total orange and green beads will Yvette need for her 4 friends? Orange Beads_____ Green Beads____ © Region 4 Education Service Center All rights reserved. Supporting STAAR™ Achievement: Grade 6 Using Ratios to Make Predictions Four Corners Directions 1. Read the problem. 2. Work silently to determine your answer. 3. When instructed, stand by your answer posted in one of the four corners of the room. 4. When you arrive at your corner, find a partner. 5. Use the following two prompts when discussing your answer: • I believe this ratio accurately compares . . . • I believe this ratio represents a part-to-part relationship or part-to-whole relationship because . . . Problem 1 At Ramos Middle School, 10 out of every 14 students take the bus to school. Which ratio accurately compares the number of students who take the bus to school to the number of students who do not take the bus to school? Problem 2 At Ramos Middle School, 10 out of every 14 students take the bus to school. Which ratio accurately compares the number of students who do not take the bus to school to the number of students who do take the bus to school? Problem 3 Mrs. Hagger has 24 students in her class. Fourteen of her students take the bus to school. The rest of her students do not take the bus to school. Which ratio accurately compares the number of students who take the bus to school to the number of students who do not take the bus to school? Problem 4 Mrs. Wilson has 21 students in her class. Six of her students take the bus to school. The rest of her students do not take the bus to school. Which ratio accurately compares the number of students who do not take the bus to school to the total number of students in Mrs. Wilson’s class? © Region 4 Education Service Center All rights reserved. Supporting STAAR™ Achievement: Grade 6 Using Ratios to Make Predictions Four Corners* Four Corners Answer Choices 5 to 2 2 to 5 7 to 5 5 to 7 Problem 1 At Ramos Middle School, 10 out of every 14 students take the bus to school. Which ratio accurately compares the number of students who take the bus to school to the number of students who do not take the bus to school? Problem 2 At Ramos Middle School, 10 out of every 14 students take the bus to school. Which ratio accurately compares the number of students who do not take the bus to school to the number of students who do take the bus to school? Problem 3 Mrs. Hagger has 24 students in her class. Fourteen of her students take the bus to school. The rest of her students do not take the bus to school. Which ratio accurately compares the number of students who take the bus to school to the number of students who do not take the bus to school? Problem 4 Mrs. Wilson has 21 students in her class. Six of her students take the bus to school. The rest of her students do not take the bus to school. Which ratio accurately compares the number of students who do not take the bus to school to the total number of students in Mrs. Wilson’s class? © Region 4 Education Service Center All rights reserved. Supporting STAAR™ Achievement: Grade 6 Using Ratios to Make Predictions Four Corners Cards Cut along the dotted lines. 5 to 2 2 to 5 7 to 5 5 to 7 © Region 4 Education Service Center All rights reserved. Supporting STAAR™ Achievement: Grade 6 Name: _________________________________ Using Ratios to Make Predictions Bucketball Use the data in the Bucketball Recording Sheet to answer the questions below. Part I (My Data) 1. How many baskets did you make in 30 seconds? 2. How did your prediction compare to the actual number of baskets you made in 30 seconds. 3. If you continued to make baskets at this same rate, complete the table to show the number of baskets for different lengths of time. Time in Minutes 1 2 3 5 10 30 Number of Baskets a. Describe any patterns or relationships you see in the table. b. How many baskets could you make in 1 hour at this same rate? 4. If you continued to make baskets at this rate, complete the table to show the number of baskets for different lengths of time. Time in Hours 1 2 3 5 Number of Baskets a. Describe any patterns or relationships you see in the table. b. At this same rate, how many baskets would you make in 1.5 hours? 2.5 hours? c. Explain how you determined your answer. d. Do you think you would be able to continue to make baskets at this same rate each hour? Why or why not? Explain your reasoning. © Region 4 Education Service Center All rights reserved. Supporting STAAR™ Achievement: Grade 6 Using Ratios to Make Predictions Part II (Group Data) 1. Combine your group’s data from Problem 1 on Part 1 to fill in the table. The Sum of the Number of Seconds The Sum of the Number of Baskets 2. If your team continued to make baskets at this same rate, complete the table to show the number of baskets for different lengths of time. Time in Minutes 2 3 4 10 30 Number of Baskets a. Describe any patterns or relationships you see in the table. b. How many baskets would your team make in 1 hour at this same rate? 3. If your team continued to make baskets at this same rate, complete the table to show the number of baskets for different lengths of time. Time in Hours 1 2 3 4 Number of Baskets a. Describe any patterns or relationships you see in the table. b. At this same rate, how many baskets would your team make in 1.5 hours? 2.5 hours? c. Explain how you determined your answer. d. Do you think your team would be able to make baskets at this same rate each hour? Why or why not? Explain your reasoning. © Region 4 Education Service Center All rights reserved. Supporting STAAR™ Achievement: Grade 6 Using Ratios to Make Predictions Bucketball Recording Sheet Cut along the dotted lines. Four sets of recording sheets are provided. Bucketball Recording Sheet Team Members Predicted Number of Baskets Actual Number of Baskets in 30 seconds Bucketball Recording Sheet Team Members Predicted Number of Baskets Actual Number of Baskets in 30 seconds Bucketball Recording Sheet Team Members Predicted Number of Baskets Actual Number of Baskets in 30 seconds Bucketball Recording Sheet Team Members Predicted Number of Baskets Actual Number of Baskets in 30 seconds © Region 4 Education Service Center All rights reserved. Supporting STAAR™ Achievement: Grade 6 Using Ratios to Make Predictions Bucketball Instructions Set Up 1. Place a marker 5 feet from your team bucket. 2. Place approximately 25 bucketballs next to the marker. 3. Determine the team member(s) who will be in charge of keeping track of the time. Collecting Data Instructions 1. Record the names of each team member on the Bucketball Recording Sheet. 2. Predict and record how many baskets you think each team member will make in 30 seconds. 3. One person at a time will make as many baskets as possible within 30 seconds. All other team members should be either keeping track of the time or counting the number of baskets their team member makes. 4. Each person will record his or her data on the Bucketball Recording Sheet. 5. Return to your seats and complete Bucketball. I have the stop watch. Marker We are counting the number of baskets. © Region 4 Education Service Center All rights reserved. Supporting STAAR™ Achievement: Grade 6 © Region 4 Education Service Center All rights reserved. Problem 2 Problem 1 ___basket ___baskets ___min ___min = ___baskets = ___min ___baskets ___min = = ___baskets ___min ___baskets ___min Problem 2 Sometimes simplifying a ratio first can help us work with friendlier numbers. Problem 1 ___baskets ___min ___basket ___min Using Ratios to Make Predictions Using Ratios to Make Predictions Notes Page Cut along the dotted lines. Fold along the bold line. Supporting STAAR™ Achievement: Grade 6 © Region 4 Education Service Center All rights reserved. Between What relationship do you see between the ratios? What relationship do you see within each ratio? Number of Baskets Time in Minutes Within Number of Baskets Time in Minutes Using Ratios to Make Predictions Supporting STAAR™ Achievement: Grade 6 Using Ratios to Make Predictions Ratios and Relationships Solve each problem in two different ways. • Use the relationship within each ratio to make a prediction. • Use the relationship between the ratios to make a prediction. Problem 1 Lisa’s group was responsible for decorating the football team’s school lockers for homecoming. The group was able to decorate 12 lockers in 60 minutes. If they continue decorating at this rate, how many lockers could be decorated in 3 hours? Problem 2 A radio program advertises that 3 out of every 24 callers will receive a prize. Based on this information, how many callers out of 120 callers should receive a prize? © Region 4 Education Service Center All rights reserved. Supporting STAAR™ Achievement: Grade 6 Name: _________________________________ Using Ratios to Make Predictions Ratios Circuit Recording Sheet 1. Cut out Ratios Circuit Cards and glue one card into the first box. 2. Solve the bottom half of the card. Show all your work, circle the method you used to solve the problem, and record your answer. 3. The answer to the problem on the first card will be found on the top half of another card. The answer to your first card will be your second card. 4. Glue the second card in the box labeled Second Card. 5. Continue until all cards have been worked in order. Card Work Solution First Card Circle the relationship you used to determine your solution. Within or Between Second Card Circle the relationship you used to determine your solution. Within Third Card Between Circle the relationship you used to determine your solution. Within © Region 4 Education Service Center All rights reserved. or or Between Supporting STAAR™ Achievement: Grade 6 Using Ratios to Make Predictions Card Work Solution Fourth Card Circle the relationship you used to determine your solution. Within or Between Fifth Card Circle the relationship you used to determine your solution. Within or Between Sixth Card Circle the relationship you used to determine your solution. Within or Between Seventh Card Circle the relationship you used to determine your solution. Within © Region 4 Education Service Center All rights reserved. or Between Supporting STAAR™ Achievement: Grade 6 Using Ratios to Make Predictions Ratios Circuit Cards Cut along the dotted lines. 160 A map has a scale of 1 cm: 8 km. If two cities are 11 centimeters apart on the map, how many kilometers apart are they? 115 A 6-ounce can of tomato sauce costs $0.50. About how much will a 24-ounce can of tomato sauce cost if the price per ounce remains the same? 2 A survey at Jenkins Elementary indicated that 9 out of 27 students take a lunch to school every day. If 480 students attend the school, about how many students can be expected to bring their lunch every day? 180 The team sold 14 lemonades in 90 minutes. If they continued selling lemonades at this rate, how many lemonades would they sell in 3 hours? 88 At the ice cream parlor, 4 chocolate ice cream cones are sold for every 1 vanilla ice cream cone sold. If 30 ice cream cones are sold, how many do you expect to be vanilla? 28 The ratio of pink rose bushes to white rose bushes in a city garden is about 12 to 15. If there are 92 pink rose bushes, about how many white rose bushes would there be? 6 Jumping rope burns approximately 720 calories per hour. If Jenny jumps rope for 15 minutes, about how many calories will she burn at this same rate? © Region 4 Education Service Center All rights reserved. Supporting STAAR™ Achievement: Grade 6 Using Ratios to Make Predictions Ratios Circuit Hint Cards* Cut along the dotted lines. Fold along the solid line before attaching. 160 A map has a scale of 1 cm: 8 km. If two cities are 11 centimeters apart on the map, how many kilometers apart are they? Hint What is the relationship within the given ratio? How can you use this relationship to determine how many kilometers apart the two cities are? Hint 115 A 6-ounce can of tomato sauce costs $0.50. About how much will a 24-ounce can of tomato sauce cost if the price per ounce remains the same? What is the relationship between the ounces of each can? How can you use this relationship to determine the approximate cost of the larger can? Hint 2 A survey at Jenkins Elementary indicated that 9 out of 27 students take a lunch to school every day. If 480 students attend the school, about how many students can be expected to bring their lunch every day? © Region 4 Education Service Center All rights reserved. Simplifying the given ratio may help you see the relationship. Supporting STAAR™ Achievement: Grade 6 Using Ratios to Make Predictions Hint 6 Jumping rope burns approximately 720 calories per hour. If Jenny jumps rope for 15 minutes, about how many calories will she burn at this same rate? How many minutes are in 1 hour? Simplifying the given ratio may help you see the relationship. Hint 180 How many minutes are in 3 hours? The team sold 14 lemonades in 90 minutes. If they continued selling lemonades at this rate, how many lemonades would they sell in 3 hours? Hint 88 At the ice cream parlor, 4 chocolate ice cream cones are sold for every 1 vanilla ice cream cone sold. If 30 ice cream cones are sold, how many do you expect to be vanilla? Is the question asking for a part-to-part comparison or a part-to-whole comparison? What would the initial ratio be in this problem? Hint 28 The ratio of pink rose bushes to white rose bushes in a city garden is about 12 to 15. If there are 92 pink rose bushes, about how many white rose bushes would there be? © Region 4 Education Service Center All rights reserved. Simplifying the given ratio may help you see the relationship. How could you use this relationship to help you determine how many white rose bushes there are? Will there by more pink or white rose bushes? How do you know? Supporting STAAR™ Achievement: Grade 6 Name: _________________________________ Using Ratios to Make Predictions Evaluate: Using Ratios to Make Predictions 1. Alex has baseball practice for 6 hours and swimming practice for 7 hours each week. If Alex continues to practice these sports at this rate, about how many total hours will he have practiced in 8 weeks? Record your answer and fill in the bubbles. Be sure to use the correct place value. 2. Five teachers are competing to see who can sell the most raffle tickets at the school carnival. The table shows how many raffle tickets each teacher sold for the given time period. Teacher’s Name Time in Minutes Number of Raffle Tickets Mr. Salinas 10 4 Ms. Ray 15 5 Mr. Griffin 20 9 Ms. Heard 30 12 If each teacher’s rate remains the same, who will have sold the most tickets after 1 hour? A Mr. Salinas B Ms. Ray C Mr. Griffin D Ms. Heard © Region 4 Education Service Center All rights reserved. Supporting STAAR™ Achievement: Grade 6 Using Ratios to Make Predictions 3. Two 18-pound dogs eat 3 pounds of dog food each week. About how many pounds of dog food would be needed to feed six 18-pound dogs if they ate the same amount per week? A 2 pounds B 6 pounds C 8 pounds D 9 pounds 4. If there are 25 students in Mrs. Ebstein’s class and the ratio of boys to girls is 2 to 3, how many boys and how many girls are in Mrs. Ebstein’s class? A 10 boys, 15 girls B 15 boys, 10 girls C 16 boys, 9 girls D 9 boys, 16 boys © Region 4 Education Service Center All rights reserved. Supporting STAAR™ Achievement: Grade 6