Understanding Ratios and Proportions

Lesson 12 introduces the transition from ratio tables to double number line diagrams. It begins with a word problem involving sports drinks and sugar content, followed by a detailed explanation of double number line diagrams. The lesson includes exercises on completing ratio tables, calculating sugar content in cola, and determining cola size restrictions in a cafeteria. It concludes with solving math problems using double number lines and a lesson summary with an exit ticket exercise.

What is the main purpose of a double number line diagram?

• To compare two different quantities using parallel lines.

• To solve algebraic equations.

• To measure physical distances.

• To create artistic designs.

In the word problem involving Claudia, what is the maximum amount of sugar she wants to consume?

• 14 grams

• 12 grams

• 7 grams

• 21 grams

What is the given ratio of cola to sugar in the ratio table example?

• 6 ounces to 20 grams

• 12 ounces to 21 grams

• 12 ounces to 40 grams

• 18 ounces to 60 grams

How do you find equivalent ratios using division?

• Divide both terms by the same number.

• Multiply both terms by the same number.

• Add the same number to both terms.

• Subtract the same number from both terms.

What is the approximate fluid ounce content of a 1-liter bottle of cola?

• 34 fluid ounces

• 40 fluid ounces

• 36 fluid ounces

• 30 fluid ounces

How is the fraction 2/3 used in the double number line diagram?

• To represent the entire range between two points.

• To find a point two-thirds of the way between two values.

• To divide a number line into three equal parts.

• To calculate the total distance on the number line.

What is the sugar limit for drinks in the school cafeteria problem?

• 30 grams

• 15 grams

• 20 grams

• 25 grams

How do you determine the largest size of cola allowed in the cafeteria?

• By using a double number line diagram to find the corresponding ounces for 25 grams of sugar.

• By guessing the size based on previous examples.

• By measuring the sugar content directly.

• By using a calculator to divide the sugar content.

Which of the following is NOT a method to represent equivalent ratios?

• Bar graphs

• Double number line diagrams

• Tape diagrams

• Ratio tables

In the exit ticket problem, how many minutes does it take Cara to walk 2 miles?

• 20 minutes

• 30 minutes

• 40 minutes

• 50 minutes