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Explore – Mini-Lesson. Let ’ s learn about a helpful tool for ratio problems that could help you with all sorts of ratio problems. Example 1) The ratio of boys to girls in a class is 2 to 3. 1. If there are 4 boys in the class, how many girls are there?. Agenda. Explore – Mini-Lesson.
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Explore – Mini-Lesson Let’s learn about a helpful toolfor ratio problems that could help you with all sorts of ratio problems. Example 1) The ratio of boys to girls in a class is 2 to 3. 1. If there are 4 boys in the class, how many girls are there? Agenda
Explore – Mini-Lesson New Tool: Tape Diagram 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. Each box represents a number in the original ratio. boys girls 1. If there are 4 boys in the class, how many girls are there? Now let’s look at the question. Agenda
Explore – Mini-Lesson New Tool: Tape Diagram 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. If this tape shows 4 boys then… boys girls 1. If there are 4 boys in the class, how many girls are there? Agenda
Explore – Mini-Lesson New Tool: Tape Diagram 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. 4 How many students are in one box? This tape is 4 boys. So we put 4 above the tape. 2 2 boys girls 2 1. If there are 4 boys in the class, how many girls are there? Agenda
Explore – Mini-Lesson New Tool: Tape Diagram 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. 4 We don’t yet know the number of girls so we put a ? for the length of that tape. Important Rule: The number in each box must be the same for every tape. 2 2 boys 2 2 2 girls ? 1. If there are 4 boys in the class, how many girls are there? Agenda
Explore – Mini-Lesson New Tool: Tape Diagram 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. 4 2 2 Now we can answer the question. boys 2 2 2 girls ? 1. If there are 4 boys in the class, how many girls are there? 6 Agenda
Explore – Mini-Lesson New Tool: Tape Diagram Let’s try another one. Example 2) The ratio of boys to girls in a class is 3 to 2. ? We can label what we know. 8 girls. First, draw the tapes. boys We can put a question mark for what we don’t know. girls 8 2. If there are 8 girls in the class, how many boys are there? Now let’s look at the question. Agenda
Explore – Mini-Lesson New Tool: Tape Diagram Let’s try another one. Example 2) The ratio of boys to girls in a class is 3 to 2. ? How many students does each box represent? boys This makes 8 girls. 4 4 girls 4 8 2. If there are 8 girls in the class, how many boys are there? Agenda
Explore – Mini-Lesson New Tool: Tape Diagram Let’s try another one. Example 2) The ratio of boys to girls in a class is 3 to 2. ? Remember: Every box must have the same quantity. boys 4 4 4 4 4 girls 8 2. If there are 8 girls in the class, how many boys are there? 12 Can you answer the question using the diagram? Advanced: Think of one way you could prove that the numbers in each box should be 4. Tell your partner. Agenda
Tape Diagram with Fractions Matthew has 14 blue marbles. His blue marbles make up two-fifths of his total number of marbles. How many marbles does Matthew have?