Launch Agenda 1 Abby and Zack are mixing red and yellow paint to make an orange color to paint their kitchen table. They each think they have the perfect shade of orange.

Launch Agenda 2 Zack’s orange paint is made by mixing 3 cups of red for every 5 cups of yellow. This sounds like a ratio. What are ratios again? This sounds like a ratio. What are ratios again?

Launch Agenda 3 A ratio is a relationship between two or more quantities. But, why would I want to use or think about a ratio? Here’s a short video that will show how ratios are used in a few real life situations.  Here’s the definition:

Launch – Think, Pair, Share Agenda 4 Zack’s orange paint is made by mixing 3 cups of red for every 5 cups of yellow. Lefty – Tell Righty the ratio of red to yellow in Zack’s orange paint. Righty – Tell Lefty the ratio of yellow to red in Zack’s orange paint. Partner Share Class – What is the ratio of red to yellow in Zack’s orange paint? 3 to 5or 3:5or 3 5

Explore – Strategize Agenda 5 Zack bought 24 cups of red paint. How much yellow paint will Zack need to buy to make his shade of orange paint? Write down in your notes any ideas you have about how to answer this question.

Explore – Mini-Lesson Agenda 6 Before we solve Zack’s problem, let’s look at some simpler problems to get ready. Read this problem. 1. If there are 4 boys in the class, how many girls are there? Example 1) The ratio of boys to girls in a class is 2 to 3.

Explore – Mini-Lesson Agenda 7 Let’s learn about a helpful tool for ratio problems that could help you with all sorts of ratio problems. 1. If there are 4 boys in the class, how many girls are there? Example 1) The ratio of boys to girls in a class is 2 to 3.

Explore – Mini-Lesson Agenda 8 We can use a tape diagram to solve ratio math problems. Example 1) The ratio of boys to girls in a class is 2 to If there are 4 boys in the class, how many girls are there? Each box represents a number in the original ratio. Now let’s look at the question. New Tool: Tape Diagram boys girls

Explore – Mini-Lesson Agenda 9 We can use a tape diagram to solve ratio math problems. Example 1) The ratio of boys to girls in a class is 2 to 3. boys girls 1. If there are 4 boys in the class, how many girls are there? New Tool: Tape Diagram If this tape shows 4 boys then…

Explore – Mini-Lesson Agenda 10 We can use a tape diagram to solve ratio math problems. Example 1) The ratio of boys to girls in a class is 2 to 3. boys 1. If there are 4 boys in the class, how many girls are there? girls 2 New Tool: Tape Diagram How many students are in one box? 22 This tape is 4 boys. So we put 4 above the tape. 4

Explore – Mini-Lesson Agenda 11 We can use a tape diagram to solve ratio math problems. Example 1) The ratio of boys to girls in a class is 2 to 3. boys 1. If there are 4 boys in the class, how many girls are there? girls New Tool: Tape Diagram Important Rule: The number in each box must be the same for every tape. Important Rule: The number in each box must be the same for every tape ? We don’t yet know the number of girls so we put a ? for the length of that tape.

Explore – Mini-Lesson Agenda 12 We can use a tape diagram to solve ratio math problems. Example 1) The ratio of boys to girls in a class is 2 to 3. boys 1. If there are 4 boys in the class, how many girls are there? girls Now we can answer the question. New Tool: Tape Diagram 4 ?

Explore – Mini-Lesson Agenda 13 Let’s try another one. Example 2) The ratio of boys to girls in a class is 3 to If there are 8 girls in the class, how many boys are there? First, draw the tapes. Now let’s look at the question. New Tool: Tape Diagram boys girls We can label what we know. 8 girls. We can put a question mark for what we don’t know. 8 ?

Explore – Mini-Lesson Agenda 14 Let’s try another one. Example 2) The ratio of boys to girls in a class is 3 to 2. boys 2. If there are 8 girls in the class, how many boys are there? 44 girls How many students does each box represent? 4 New Tool: Tape Diagram This makes 8 girls. ? 8

Explore – Mini-Lesson Agenda 15 Let’s try another one. Example 2) The ratio of boys to girls in a class is 3 to 2. boys4 2. If there are 8 girls in the class, how many boys are there? 4 44 girls Remember: Every box must have the same quantity. Remember: Every box must have the same quantity. 4 Can you answer the question using the diagram? New Tool: Tape Diagram Advanced: Think of one way you could prove that the numbers in each box should be 4. Tell your partner. ? 8

Agenda 16 Let’s solve this problem using a tape diagram. We know: Zack’s orange paint is made by mixing 3 cups of red for every 5 cups of yellow. New Tool: Tape Diagram And, we know: he bought 24 cups of red paint. This is a 3:5 ratio of red to yellow. Let’s draw the tapes. red yellow Let’s label the diagram. 24 Now we can figure out how many cups each box represents. If 3 boxes are 24 then… ? 8 88 The question is: How many cups of yellow paint does Zack need to make his shade of orange paint? Since every box must have the same quantity… That means the answer is:

Summary – Write in your notebook Agenda 17 What is one thing you like about the tape diagrams as a tool? What is one thing that is difficult? Is there anything that is confusing about using tape diagrams as a tool?

Practice Agenda 18 You will have 10 minutes to work on solving some ratio problems using the tape diagrams tool. You might feel a little confused and want to talk about it. Don’t worry – you will discuss it when you are finished.