The ratio of oak trees to pine trees is 8:6. There are 56 trees altogether. Draw a tape diagram and find each count.
32 oaks and 24 pines
14 equal sections total; each section is 56 ÷ 14 = 4.
Day 041Ratios in Larger Batches
Standards 6.RP.A.3a
LEARNING TARGET
I can use equal-size tape sections to solve a ratio problem.
01 · LEARN
Build the idea
For a ratio a:b, draw a sections for one quantity and b sections for the other. A total covers a+b sections. Divide the total by a+b to find one section, then multiply by each part count.
The ratio of oak trees to pine trees is 6:4. There are 30 trees altogether. Draw a tape diagram and find each count and the difference between the counts.
18 oaks and 12 pines; difference 6
10 equal sections total; each section is 30 ÷ 10 = 3.
02 · PRACTICE
Your turn
Work in order. Start with the foundations, then build toward explanation and application.
The ratio of oak trees to pine trees is 7:2. There are 18 trees altogether. Draw a tape diagram and find each count.
The ratio of oak trees to pine trees is 4:5. There are 45 trees altogether. Draw a tape diagram and find each count.
The ratio of oak trees to pine trees is 8:2. There are 60 trees altogether. Draw a tape diagram and find each count.
The ratio of oak trees to pine trees is 3:5. There are 24 trees altogether. Draw a tape diagram and find each count.
The ratio of oak trees to pine trees is 4:5. There are 27 trees altogether. Draw a tape diagram and find each count.
The ratio of oak trees to pine trees is 2:6. There are 32 trees altogether. Draw a tape diagram and find each count.
The ratio of oak trees to pine trees is 5:4. There are 45 trees altogether. Draw a tape diagram and find each count and the difference between the counts.
The ratio of oak trees to pine trees is 8:6. There are 56 trees altogether. Draw a tape diagram and find each count and the difference between the counts.
The ratio of oak trees to pine trees is 5:2. There are 28 trees altogether. Draw a tape diagram and find each count and the difference between the counts.
The ratio of oak trees to pine trees is 2:7. There are 54 trees altogether. Draw a tape diagram and find each count and the difference between the counts.
03 · CHECK
Answers and reasoning
Reveal the teacher answer key
- 14 oaks and 4 pines
9 equal sections total; each section is 18 ÷ 9 = 2.
- 20 oaks and 25 pines
9 equal sections total; each section is 45 ÷ 9 = 5.
- 48 oaks and 12 pines
10 equal sections total; each section is 60 ÷ 10 = 6.
- 9 oaks and 15 pines
8 equal sections total; each section is 24 ÷ 8 = 3.
- 12 oaks and 15 pines
9 equal sections total; each section is 27 ÷ 9 = 3.
- 8 oaks and 24 pines
8 equal sections total; each section is 32 ÷ 8 = 4.
- 25 oaks and 20 pines; difference 5
9 equal sections total; each section is 45 ÷ 9 = 5.
- 32 oaks and 24 pines; difference 8
14 equal sections total; each section is 56 ÷ 14 = 4.
- 20 oaks and 8 pines; difference 12
7 equal sections total; each section is 28 ÷ 7 = 4.
- 12 oaks and 42 pines; difference 30
9 equal sections total; each section is 54 ÷ 9 = 6.