Ratios, Rates, and Unit Rates across the Universe An introduction by aliens

RATES & RATIOS Aliens are not going to do it for you. The information on the next slide needs to be written on page 1 of your rates and ratios book. Aliens are not going to do it for you.

RATIOS A ratio is a comparison of two numbers. Ratios can be written in three different ways… 3 to 4 3:4 𝟑 𝟒

RATIOS A RATIO makes a comparison. There are 3 green aliens and 4 purple aliens. The ratio of green aliens to purple aliens is… 3 to 4 𝟑 𝟒 3:4

RATIOS A ratio is a comparison of two numbers. The ratio of green aliens to total aliens is . The ratio of total aliens to purple aliens is 3 to 7 7 to 4

1 2 3 A B C D E 5 to 3, 5:3 or 𝟓 𝟑 RATIOS I agree, if you said… Do you know the ratio of red letters to red numbers? I agree, if you said… 5 to 3, 5:3 or 𝟓 𝟑 1 2 3 A B C D E

1 2 3 A B C D E 1 to 3, 1:3 or 𝟏 𝟑 RATIOS I agree, if you said… What do you think the ratio of blue numbers to red letters is? I agree, if you said… 1 to 3, 1:3 or 𝟏 𝟑 1 2 3 A B C D E

RATES & RATIOS Aliens are not going to do it for you. The definition of RATE on the next slide needs to be written on page 1 of your Comparing & Scaling packet. Aliens are not going to do it for you.

A RATE is a ratio comparing different units. RATES A RATE is a ratio comparing different units. This spaceship travels at a certain speed. Speed is an example of a rate. Speed can be measured in many different ways. This spaceship can travel 100 miles in 5 seconds. 100 miles in 5 seconds is a rate.

A RATE is a ratio comparing different units. RATES A RATE is a ratio comparing different units. Rates are often written in fraction form. 100 miles in 5 seconds is a rate. It can be written as….. Miles Seconds

185 to 2, 185:2 or 𝟏𝟖𝟓 𝟐 RATES I agree, if you said… A train travels 185 miles in two hours. Talk to your group members and figure out the rate of speed? I agree, if you said… 185 to 2, 185:2 or 𝟏𝟖𝟓 𝟐

A RATE is a ratio comparing different units. RATES A RATE is a ratio comparing different units. One key word that often identifies a rate is PER. Miles per gallon, Points per game, Dollars per pizza, Sticks of gum per pack. What other examples of rates can your group think of?

RATES & RATIOS Aliens are not going to do it for you. The definition of UNIT RATE on the next slide needs to be written on page 2 of your Rates and Ratios packet. Aliens are not going to do it for you.

UNIT RATES = Most of the time when we work with rates we use a unit rate. A unit rate compares a quantity to ONE unit of another quantity. This alien can walk at a rate of 10 miles in 2 hours. His speed is a unit rate of 5 miles per 1 hour or simply 5 miles per hour. Miles Hours Hour =

UNIT RATES A UNIT RATE compares a quantity to one unit of another quantity. These are all examples of unit rates. 6 tentacles per head 1 tail per body 2 eyes per alien 1 foot per leg 3 windows per spaceship 3 riders per spaceship 2 people riders per dog rider

RATES & RATIOS Aliens are not going to do it for you. Turn to page 9 in your rates and ratios book Aliens are not going to do it for you.

Write 3 part-to-part ratios Write 3 part-to-whole ratios At the top of your page write Skittle Ratios Number of orange skittles: Number of yellow skittles: Number of green skittles: Number of red skittles: Number of purple skittles: Total number of skittles: Write 3 part-to-part ratios (label) Write 3 part-to-whole ratios (label