21 st Century Lessons

1. 21st Century Lessons Introduction to Ratio Tables 6.RP.3 Day 5

2. Warm Up OBJECTIVE: SWBAT solve ratio problems by using a ratio table. Language Objective: They will write about their understanding of ratio equivalence. Write the ratios as fractions in lowest terms. 1. The number of red bears to all gummi bears. 2. There are 4 vans and 12 cars in a parking lot. Write the ratio of cars to vans. Answer 3. There are 20 pens and 8 pencils in Li’s pencil box. Write the ratio of pencils to pens. Answer Answer Agenda

3. Launch Remember Abby and Zack? They are mixing red & yellow paint to make an orange color to paint their kitchen table. They each think they have the perfect shade of orange. Agenda

4. Launch Abby’s orange is made with one cup of red paint for every 3 cups of yellow paint. 1. Write that as a ratio of red to yellow in your notebook. or 1/3 1:3 1:3 or 1 to 3 Zack’s orange paint is made by mixing 3 cups of red for every 5 cups of yellow. 3:5 2. Write that as a ratio of red to yellow in your notebook. or 3/5 3:5 or 3 to 5 Agenda

5. Launch - Strategize “recipe” definition “batch” definition Abby and Zack are working on making larger amounts of paint in each shade of orange. At the end of the day they found this “recipe” but they couldn’t figure out whose paint it makes. Can you? 1:3 3:5 15 cups of red paint & 25 cups of yellow paint Write down in your notes any ideas you have about how to solve this problem. Agenda

6. Explore – Mini-Lesson Let’s learn about another helpful tool for ratio problems. Let’s say you love to make and eat cake. Your recipe calls for two eggs and one cup of flour for each batch. If you have 6 eggs, how much flour would you need to make the maximum amount of cake? Agenda

7. Explore – Mini-Lesson Let’s learn about another helpful tool for ratio problems. Let’s say you love to make and eat cake. Your recipe calls for two eggs and one cup of flour for each batch. If you have 6 eggs, how much flour would you need to make the maximum amount of cake? You could draw a picture. Then you could make copies until you get to six eggs. Agenda

8. Explore – Mini-Lesson New Tool: Ratio Table Seems like this takes a long time, don’t you think? You could record the numbers for each batch in a table. This table gives you the same information as the pictures. But faster! This is a ratio table. Agenda

9. Explore – Mini-Lesson New Tool: Ratio Table Question: Will 2 eggs and 1 cup of flour make a cake that tastes the same as one with 4 eggs and 2 cups of flour? Will this and this make cake that has the same taste? Partners: Take turns asking each other this question and listening. Prove your answer. Agenda

10. Explore – Mini-Lesson New Tool: Ratio Table Share Out: What do you think? Do these columns in the ratio table make the same tasting cake? Agenda

11. Explore – Mini-Lesson New Tool: Ratio Table It’s true! Each column in the table is a ratio. Each ratio is equivalent. That makes cake that tastes the same. How do you know the ratios are equivalent? Discuss this with your partner. Prove that the ratios are equivalent. Agenda

12. Explore – Mini-Lesson New Tool: Ratio Table It’s true! Each column in the table is a ratio. Each ratio is equivalent. That makes cake that tastes the same. 2 4 6 Because … = = 1 2 3 Agenda

13. Explore – Mini-Lesson New Tool: Ratio Table It’s true! Each column in the table is a ratio. Each ratio is equivalent. That makes cake that tastes the same. A cake made with 2 eggs and 1 cup of flour will taste the same as… Agenda

14. Explore – Mini-Lesson New Tool: Ratio Table It’s true! Each column in the table is a ratio. Each ratio is equivalent. That makes cake that tastes the same. A cake made with 2 eggs and 1 cup of flour will taste the same as… A cake made with 4 eggs and 2 cups of flour will taste the same as… Agenda

15. Explore – Mini-Lesson New Tool: Ratio Table It’s true! Each column in the table is a ratio. Each ratio is equivalent. That makes cake that tastes the same. A cake made with 2 eggs and 1 cup of flour will taste the same as… A cake made with 4 eggs and 2 cups of flour will taste the same as… One made with 6 eggs and 3 cups of flour. Agenda

16. Explore - video This video may help. Here is a video about the taste of equivalent ratios. https://vimeo.com/user12886492/tasteofratios Agenda

17. Guided Practice New Tool: Ratio Table Try this! PB&J Trail Mix is made by combining 7 ounces of peanuts with 5 ounces of raisins. A ratio table has been started to show this relationship for different batches of trail mix. Copy the table. Work with your partner to fill in every box with the amounts to maintain the same flavor. Agenda

18. Guided Practice New Tool: Ratio Table Try this! PB&J Trail Mix is made by combining 7 ounces of peanuts with 5 ounces of raisins. A ratio table has been started to show this relationship for different batches of trail mix. 21 28 10 20 25 Let’s see how you did! Here are the missing values. Agenda

19. Guided Practice New Tool: Ratio Table What method did you and your partner use to fill in the table? What do you notice about the numbers in the peanuts row? What do you notice about the numbers in the raisins row? 21 28 10 20 25 Agenda

20. Guided Practice New Tool: Ratio Table There are mathematical statements we can say with certainty about the trail mix based on this ratio table. We can say… For every 7 oz of peanuts you have 5 oz of raisins. or for every 10 oz of raisins you have 14 oz of peanuts. 21 28 10 20 25 Lefty: Tell Righty one more sentence based on the table. Righty: Tell Lefty a different sentence using the table. Agenda

21. Independent Practice You will practice using your new tool, ratio tables, to solve ratio word problems. You will have 15 minutes to complete the class work. You will have a chance to check your work at the end of the work session. Agenda

22. Summary Explain, in writing, why Trail Mix with 14 ounces of peanuts and 10 ounces of raisins tastes the same as one with 7 ounces of peanuts and 5 ounces of raisins. PB&J Trail Mix Explain why this and this will have the same taste. Agenda

23. Summary Read your writing to your partner. Will Trail Mix with 14 ounces of peanuts and 10 ounces of raisins tastes the same as one with 7 ounces of peanuts and 5 ounces of raisin? PB&J Trail Mix Explain why this and this will have the same taste. Agenda

24. Exit Ticket Use the ratio table tool to figure out whose orange paint, Abby’s or Zack’s, is made with this “recipe.” There is space on your worksheet. 1:3 15 cups of red & 25 cups of yellow paint 3:5 Hint Solution Agenda

25. Assessment – Write your answers in your notes. 1) Which ratio table can be used to solve the problem below? Jenny discovers that she has 8 shirts for every 5 pants. If she has 40 shirts, how many pants does she have? A. B. C. 2) What is the correct answer to the problem? Agenda

26. Vocabulary - recipe Back to Lesson “batch” definition You Will Need: 1 Stick Butter, Margarine 1 Egg Cookie mix • Heat Oven to 375 Degrees. • Stir Softened Butter and Egg and stir In Cookie Mix Until Soft Dough Forms. • Drop dough by rounded teaspoonfuls 2 inches apart onto ungreased cookie sheet. • Bake 20-25 minutes. A recipe is the directions for how to make something, usually food. Here is an example:

27. Vocabulary - batch Back to Lesson “recipe” definition A “batch” means making the recipe one time. Sometimes we cook a lot of food and make many batches at once.