Day 034Equivalent Ratio Tables

Build the idea

Multiply both values in a ratio by the same scale factor. Organize pairs in a table and check that every row compares the same quantities in the same order.

Your turn

Work in order. Start with the foundations, then build toward explanation and application.

1. A mix uses 7 cups of oats for 3 cups of seeds. Complete the table (oats, seeds): (7, 3), (14, ___), (21, ___).

2. A mix uses 2 cups of oats for 4 cups of seeds. Complete the table (oats, seeds): (2, 4), (4, ___), (4, ___).

3. A mix uses 2 cups of oats for 2 cups of seeds. Complete the table (oats, seeds): (2, 2), (4, ___), (8, ___).

4. A mix uses 5 cups of oats for 2 cups of seeds. Complete the table (oats, seeds): (5, 2), (10, ___), (25, ___).

5. A mix uses 5 cups of oats for 4 cups of seeds. Complete the table (oats, seeds): (5, 4), (10, ___), (30, ___).

6. A mix uses 8 cups of oats for 5 cups of seeds. Complete the table (oats, seeds): (8, 5), (16, ___), (40, ___).

7. A mix uses 7 cups of oats for 7 cups of seeds. Complete the table (oats, seeds): (7, 7), (14, ___), (42, ___) and explain how you know the last two rows are equivalent.

8. A mix uses 5 cups of oats for 5 cups of seeds. Complete the table (oats, seeds): (5, 5), (10, ___), (20, ___) and explain how you know the last two rows are equivalent.

9. A mix uses 6 cups of oats for 5 cups of seeds. Complete the table (oats, seeds): (6, 5), (12, ___), (24, ___) and explain how you know the last two rows are equivalent.

10. A mix uses 5 cups of oats for 6 cups of seeds. Complete the table (oats, seeds): (5, 6), (10, ___), (30, ___) and explain how you know the last two rows are equivalent.