Representing Ratios with Tables

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a/b.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you write equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between two quantities. For example, 4/5, 8/10, and 12/15 are equivalent ratios.

Tags

CCSS.6.RP.A.3A

Front

What is the purpose of a double number line?

Back

A double number line is used to represent two related quantities and helps visualize the relationship between them, such as ratios.

Tags

CCSS.7.RP.A.2D

Front

How do you find the cost per item?

Back

To find the cost per item, divide the total cost by the number of items. For example, if 6 ears of corn cost $1.80, the cost per ear is $1.80 ÷ 6 = $0.30.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If 20 pounds of olives make 3 liters of oil, how many liters can 100 pounds make?

Back

To find out how many liters can be made from 100 pounds, set up a proportion: 20 pounds/3 liters = 100 pounds/x liters. Solving gives x = 15 liters.

Tags

CCSS.6.RP.A.3B

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, such as miles per hour or cost per item.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you solve for an unknown in a ratio?

Back

To solve for an unknown in a ratio, set up a proportion and cross-multiply to find the missing value.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you use tables to represent ratios?

Back

Tables can be used to list pairs of equivalent ratios, showing how one quantity changes in relation to another.

Front

What is the formula for finding equivalent ratios?

Back

To find equivalent ratios, multiply or divide both terms of the ratio by the same non-zero number.

Tags

CCSS.6.RP.A.3A