1. RATIO AND PROPORTIONS UNIT MULTIPLICATIVE THINKING RATIO BOY! CCSS.6.RP.3: Use ratio (and rate) reasoning to solve real-world and mathematical problems (by reasoning about tables of equivalent ratios). Be ready to learn: on your desk…pencil, Journal, glue… Essential Question: How could you use tables to relate quantities?

2. RATIO BOY NOTICES THE LENGTH OF HIS SHADOW AT A CERTAIN TIME OF DAY.

3. FIND RATIO BOY IN THE CLASSROOM. MEASURE HIS HEIGHT AND THE LENGTH OF HIS SHADOW USING STANDARD UNITS OF MEASURE. RECORD THE RESULTS OF YOUR MEASUREMENTS IN YOUR JOURNAL ON THE PROVIDED WORKSHEET.

4. CHECK THE RESULTS OF YOUR MEASUREMENTS. Ratio Boy is 2 feet tall. Ratio Boy’s shadow is 6 feet long.

5. DISCUSS WITH YOUR PARTNERS A METHOD OF SOLVING THIS QUESTION. IF A TREE CASTS A SHADOW OF 60 FEET, HOW TALL IS THE TREE IF IT IS THE SAME TIME OF DAY THAT RATIO BOY SEES HIS SHADOW AND THE SHADOWS ARE PROPORTIONAL? What is the height of the tree? “h” The tree’s shadow is 60 feet long.

6. DISCUSS WITH YOUR PARTNERS A METHOD OF SOLVING THIS QUESTION. IF A TREE CASTS A SHADOW OF 72 FEET, HOW TALL IS THE TREE IF IT IS THE SAME TIME OF DAY THAT RATIO BOY SEES HIS SHADOW AND THE SHADOWS ARE PROPORTIONAL? What is the height of the tree? “h” The tree’s shadow is 72 feet long.

7. Share out! Discuss how your solved these problems. Could we easily find the height of any tree if we measured the length of the shadow and could measure the height of a shorter tree? Let’s build a ratio table to show how to find the height of a tree. Length of shadows607215120 Height of trees206

8. Check your work. Discuss how your solved these problems. Could we easily find the height of any tree if we measured the length of the shadow and could measure the height of a shorter tree? Let’s build a ratio table to show how to find the height of a tree. Length of shadows60187215120 Height of trees20624540

9. Practice Complete the Ratio Boy handout.