Exploring Ratios and Unit Rates

The video tutorial introduces virtual learning and covers the concepts of ratios, rates, and unit rates. It explains how ratios compare two or more numbers and provides examples like comparing boys to girls in a class. The tutorial also discusses rates, which compare quantities in different units, and unit rates, where the denominator is one. Various examples are provided to illustrate these concepts, including calculating ratios of shapes and pizzas, and finding unit rates of flowers per vase and pages per minute.

What is a ratio?

• A method to divide quantities

• A special kind of subtraction

• A comparison of two or more numbers

• A type of mathematical operation

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is an example of a rate?

• Sum of two different units

• Number of students in a class

• Distance traveled per unit of time

• Ratio of boys to girls in a class

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

How can a ratio be written using a colon?

• 14:16

• 14 to 16

• 14/16

• 14 - 16

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the ratio of hexagons to circles in the given example?

• 6:1

• 1 to 6

• 1:6

• 6 to 1

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What does the ratio of total shapes to triangles simplify to?

• 2 to 4

• 4 to 2

• 1 to 2

• 2 to 1

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the ratio of pepperoni pizzas to total pizzas at Clayton's pizzeria?

• 57 to 94

• 94 to 57

• 100 to 57

• 57 to 100

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

How many flowers per vase if there are 12 flowers and 3 vases?

• 9 flowers per vase

• 12 flowers per vase

• 3 flowers per vase

• 4 flowers per vase

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

If Frank jarred 24 liters of jam in 3 days, how much would he jar in 5 days?

• 35 liters

• 40 liters

• 45 liters

• 50 liters

Tags

CCSS.6.RP.A.3B

Using cross multiplication, how many liters of jam did Frank jar in 5 days?

• 40 liters

• 80 liters

• 60 liters

• 120 liters

Tags

CCSS.6.RP.A.3B

What is the speed of the copy machine if it copies 3 pages in one tenth of a minute?

• 30 pages per minute

• 10 pages per minute

• 3 pages per minute

• 0.3 pages per minute

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2