Using Double Number Lines to Mix Things Up

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if a car travels 150 miles in 3 hours, the unit rate is 50 miles per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity of one item by the number of units of another item. For example, if 120 customers visit a store in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second. For example, the ratio of 10 to 5 can be written as 10:5 or 10/5.

Front

How do you complete a ratio table?

Back

To complete a ratio table, identify the relationship between the two quantities and use multiplication or division to find missing values based on the known ratios.

Front

What is the formula for finding the unit rate of snow accumulation?

Back

The formula is: Unit Rate = Total Snowfall (inches) ÷ Total Time (hours). For example, if it snowed 14 inches in 5 hours, the unit rate is 14 ÷ 5 = 2.8 inches per hour.

Front

If Ben plays basketball 6 times in 3 weeks, how do you find the number of times he plays in 10 weeks?

Back

First, find the unit rate: 6 ÷ 3 = 2 times per week. Then multiply by 10 weeks: 2 × 10 = 20 times.

Front

What is the unit rate for spending money?

Back

The unit rate for spending money is calculated by dividing the total cost by the total quantity. For example, if Will spent $3.75 for 3 pounds of gummy bears, the unit rate is $3.75 ÷ 3 = $1.25 per pound.

Front

What does it mean to mix things up in math?

Back

Mixing things up in math often refers to applying different concepts or methods to solve problems, such as using double number lines to visualize ratios and unit rates.

Front

How can double number lines help in understanding ratios?

Back

Double number lines can visually represent two related quantities, making it easier to see the relationship between them and to find equivalent ratios.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 2:3 is equivalent to 4:6.