Ratio Tables and Simplifying Ratios

This lesson focuses on the structure of ratio tables, exploring both additive and multiplicative properties. Students are tasked with creating ratio tables for a fruit salad recipe, analyzing patterns, and understanding the relationship between blueberries and strawberries. The lesson includes problem-solving exercises using ratio tables and correcting errors in given tables. It concludes with a summary and an exit ticket to reinforce learning.

What is the initial task given in the lesson regarding the fruit salad?

• Create a single table for the fruit salad.

• List the ingredients for a fruit salad.

• Make three ratio tables for different quantities of blueberries.

• Calculate the total number of fruits needed.

In the ratio tables, how are the amounts of strawberries related to the amounts of blueberries?

• The amount of strawberries is half the amount of blueberries.

• The amount of strawberries is equal to the amount of blueberries.

• The amount of strawberries is twice the amount of blueberries.

• The amount of strawberries is three times the amount of blueberries.

What pattern is observed in the blueberry columns across the tables?

• The values are decreasing by 5.

• The values are increasing by 10.

• The values remain constant.

• The values are multiplied by 2.

How can you determine the number of strawberries needed if you have 7 quarts of blueberries?

• By guessing the amount.

• By using a calculator.

• By using a different recipe.

• By extending the ratio table to 7 in the blueberries column.

What is the correct method to find out how many quarts of strawberries are used with 70 quarts of blueberries?

• Add 10 to the number of blueberries.

• Divide the number of blueberries by 2.

• Use the ratio 1:3 and multiply accordingly.

• Subtract 10 from the number of blueberries.

What mistake was identified in the incorrect ratio table?

• The values were added instead of multiplied.

• The values were subtracted instead of added.

• The multiplication factor was incorrect.

• The table was missing values.

How can you simplify the ratio 3:24?

• By subtracting 3 from both numbers.

• By dividing both numbers by 3.

• By adding 3 to both numbers.

• By multiplying both numbers by 3.

What is the simplified form of the ratio 3:24?

• 1:4

• 1:3

• 1:8

• 1:6

What is the key takeaway about constructing ratio tables?

• Each pair of values in the table is equivalent to the same ratio.

• The table values are not related.

• Each pair of values in the table is unique.

• The values in the table are random.

What is a common method to create equivalent ratios in a table?

• By subtracting a constant from each value.

• By dividing each value by a constant.

• By adding a constant to each value.

• By multiplying each value by a constant.