Warm-Up 1
Day 7: Ratios and Visual Models
Introduce ratios with simple language, tables, diagrams, and real-world comparisons.
Student Goal
I can describe and model a ratio relationship.
Why It Matters
Ratios help students compare amounts in recipes, sports, maps, shopping, and many 6th grade math problems.
Warm-Up
Warm-Up 2
Write a comparison of apples to oranges using numbers.
Warm-Up 3
If one group has 4 students, how many students are in 3 equal groups?
Short Lesson
Standard Focus:
NC.6.RP: Ratios and Proportional Relationships
Student-Friendly Standard Goal:
I can describe ratios with words, pictures, and tables.
- A ratio compares two quantities. You can compare part to part or part to whole.
- Ratios can be written with words, a colon, or a fraction-style comparison.
- Ratio tables help you build equivalent ratios by scaling both quantities by the same number.
Guided Examples
Guided Example 1
Trail Mix Ratio
A trail mix recipe uses 2 cups of cereal for every 3 cups of pretzels. How many cups of cereal are needed for 9 cups of pretzels?
Step 1
2:3
What does 3 represent?
Guided Example 2
Part-to-Whole Ratio
A bowl has 2 apples and 3 oranges. What is the ratio of apples to all fruit?
Step 1
2 + 3
How many total pieces of fruit are there?
Practice
Problem 1
A classroom has 5 tables and 20 chairs. What is the ratio of tables to chairs?
Problem 2
A recipe uses 1 cup of yogurt for every 2 cups of fruit. How many cups of fruit are needed for 3 cups of yogurt?
Problem 3
Which ratio is equivalent to 2:5?
Problem 4
True or false: 5:2 means the same thing as 2:5.
Problem 5
Three notebooks cost 6 dollars. At the same rate, how much do 6 notebooks cost?
Reflection
How are you feeling about today's skill?
Optional reflection: Optional prompt: Where do you see ratios in real life?