Dimensional Analysis #1

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Presentation transcript:

Dimensional Analysis #1 Jennifer is riding to Florida with her parents. They go an average of 70 mph for the trip. How long will it take them to go 500 miles if they don’t stop? 7.14 hours There are 5280 feet in one mile There are 0.034 ounces in one milliliter There are 0.454 kg in one pound There are 1.6 kilometers in one mile There are 73 gallons in 2 barrels There are 1.05 quarts in one liter There are 4 quarts in one gallon There are 16 ounces in a pound.

Dimensional Analysis #2 Jennifer’s car gets 32 mpg. How many gallons of gas do they need to complete the trip? Do you think they can make it the whole way without stopping for gas? 15.625 gallons; yes There are 5280 feet in one mile There are 0.034 ounces in one milliliter There are 0.454 kg in one pound There are 1.6 kilometers in one mile There are 73 gallons in 2 barrels There are 1.05 quarts in one liter There are 4 quarts in one gallon There are 16 ounces in a pound.

Dimensional Analysis #3 Convert 23 gallons to liters 87.619 L There are 5280 feet in one mile There are 0.034 ounces in one milliliter There are 0.454 kg in one pound There are 1.6 kilometers in one mile There are 73 gallons in 2 barrels There are 1.05 quarts in one liter There are 4 quarts in one gallon There are 16 ounces in a pound.

Dimensional Analysis #4 Allison had to run sprints for PE on the track. She was told to run 1500 ft. How many miles did she run? There are 5280 feet in one mile There are 0.034 ounces in one milliliter There are 0.454 kg in one pound There are 1.6 kilometers in one mile There are 73 gallons in 2 barrels There are 1.05 quarts in one liter There are 4 quarts in one gallon There are 16 ounces in a pound.

Unit 1: Relationships between quantities Review trivia game

How it works Each round will have 3 questions. The topics for the three questions will be listed at the beginning. You will be able to wager 1, 2, and 3 points once each per round. For instance, if you bet 3 points on the first question, you cannot use it again that round. In the 2nd round, points are doubled. In the 3rd round, points are tripled. At the end of three rounds, the team can pick how much to wager for the final question. Winner is whoever ends up with the most points.

Round 1

Round 1: Point values are 1, 2, and 3 Q1: Choosing appropriate units Q2: Converting between units Q3: Writing linear equations

Q1: Choosing appropriate units You are trying to find the area of a field at the park. If each side is measured in yards, what unit will the area take? Remember, Area = length x width. yds.2

Q2: Converting between units How many years are there in 137 weeks? 2.635 yrs.

Q3: writing linear equations You are choosing a cell phone plan. AT&T tells you that it will charge you $40 per month plus 5 cents per text. Write an equation that will show you how much you will pay if you send and receive “x” texts per month. y = 0.05x + 40

Round 2

Round 2: Point values are 2, 4, and 6 Q1: Converting between units Q2: Explaining terms and coefficients Q3: Solving linear equations

Q1: Converting between units Juan just ran 2000 yards. How many kilometers did he run? There are 5280 feet in one mile There are 0.034 ounces in one milliliter There are 0.454 kg in one pound There are 1.6 kilometers in one mile There are 73 gallons in 2 barrels There are 1.05 quarts in one liter There are 4 quarts in one gallon There are 16 ounces in a pound. 1.818 km.

Q2: Explaining terms and coefficients You and your friends are going to Mad Mad Whirled to play laser tag and whirlyball. X is the price of a game of laser tag, L is the number of laser tag games played Y is the price of whirlyball, and W is the number of whirlyball games played. What does xL represent? What does L + W represent? Cost of all the laser tag games played Total games played

Q3: Solving linear equations The perimeter of a rectangle is 72 inches. If the length of the rectangle is twice the width of the rectangle, what is the length of the rectangle? Length = 24

Round 3

Round 3: point values are 3, 6, and 9 Q1: Converting between units Q2: Solving equations Q3: Solving linear equations

Q1: Converting between units If Sharae can run 100 meters in 11 seconds, how fast is she running in miles per hour? 20.455 mph There are 5280 feet in one mile There are 0.034 ounces in one milliliter There are 0.454 kg in one pound There are 1.6 kilometers in one mile There are 73 gallons in 2 barrels There are 1.05 quarts in one liter There are 4 quarts in one gallon There are 16 ounces in a pound.

Q2: Solving equations Find 5 consecutive odd integers whose sum is 725. 141, 143, 145, 147, 149

Q3: Solving linear equations The number of students at Hillgrove High School was 1800 when it first opened up in 2006. The number of students has gone up by 50 every year since then. How many students will there be in 2025 if the trend continues? y = 50x + 1800 After 19 years, 2750