Dimensional Analysis “Criss Cross AppleSauce” MGSE9–12.N.Q.1 Use units of measure (linear, area, capacity, rates, and time) as a way to understand problems: Identify, use, and record appropriate units of measure within context, within data displays, and on graphs; Convert units and rates using dimensional analysis (English–to–English and Metric– to–Metric without conversion factor provided and between English and Metric with conversion factor); Use units within multi–step problems and formulas; interpret units of input and resulting units of output.

Lizzy Single- Teachers Pay teacher

Conversions to Memorize

Steps to Dimensional Analysis Step 1: Determine your target (what do you want to know) Step 2: Determine what you already know Step 3: Set up the problem Step 4: Solve the problem (units should criss-cross applesauce) Step 5: Check if your answer is reasonable

How many nickels are in $425? Step 1: Determine your target (what do you want to know) Nickels Step 2: Determine what you already know 4 quarters in a dollar, 5 nickels in a quarter Step 3: Set up the problem Step 4: Solve the problem (units should criss-cross applesauce) There are 8,500 nickels in $425. Step 5: Check if your answer is reasonable 425 dollars 4 quarters 5 nickels 1 dollar 1 quarter 8500 nickels 1 Multiply top Multiply bottom

Convert 156 inches to feet Step 1: Determine your target (what do you want to know) Feet Step 2: Determine what you already know 12 inches in 1 foot Step 3: Set up the problem Step 4: Solve the problem (units should criss-cross applesauce) 156/12 = 13 feet. There are 13 feet in 156 inches. Step 5: Check if your answer is reasonable 156 inches 1 foot 12 inch 156 feet 12 Multiply top Multiply bottom

Sam ran a 5K for a fundraiser, how many miles did he run. 621 mi = 1 Sam ran a 5K for a fundraiser, how many miles did he run? 0.621 mi = 1.00 km Step 1: Determine your target (what do you want to know) Step 2: Determine what you already know Step 3: Set up the problem Step 4: Solve the problem (units should criss-cross applesauce) Step 5: Check if your answer is reasonable

Kim Tan was born in Korea and weighed 3628. 74 grams Kim Tan was born in Korea and weighed 3628.74 grams. He is now living in the US and needs to know his birth weight in pounds to tell his doctor about his birth. Step 1: Determine your target (what do you want to know) Step 2: Determine what you already know Step 3: Set up the problem Step 4: Solve the problem (units should criss-cross applesauce) Step 5: Check if your answer is reasonable

Multistep Conversions

Usain Bolt can run 28 miles per hour Usain Bolt can run 28 miles per hour. How many feet can he run per second? Step 1: Determine your target (what do you want to know) Feet and Seconds Step 2: Determine what you already know Time: 1 hour = 60 minutes, 1 minute= 60 seconds Measurement: 1 mile = 5,280 feet Step 3: Set up the problem Step 4: Solve the problem (units should criss-cross applesauce) 147840/3600 about 41 feet per second. Usain Bolt can run about 41 feet per second. Step 5: Check if your answer is reasonable 28 miles 5,280 feet 1 hour 1 minute 147840 feet 1 mile 60 minutes 60 seconds 3600 second Multiply top Multiply bottom

Aaron Rogers signed a contract for $22,000,000 a year Aaron Rogers signed a contract for $22,000,000 a year. How much does he make per minute. Step 1: Determine your target (what do you want to know) Step 2: Determine what you already know Step 3: Set up the problem Step 4: Solve the problem (units should criss-cross applesauce) Step 5: Check if your answer is reasonable

The winner of the “Biggest Loser” lost 0. 95 ounce per hour The winner of the “Biggest Loser” lost 0.95 ounce per hour. Convert this to pounds per week. Step 1: Determine your target (what do you want to know) Step 2: Determine what you already know Step 3: Set up the problem Step 4: Solve the problem (units should criss-cross applesauce) Step 5: Check if your answer is reasonable

Convert 4.824 meters per second to kilometers per hour. Step 1: Determine your target (what do you want to know) Step 2: Determine what you already know Step 3: Set up the problem Step 4: Solve the problem (units should criss-cross applesauce) Step 5: Check if your answer is reasonable

A giraffe can run 32 miles per hour A giraffe can run 32 miles per hour. What is this speed in feet per second Step 1: Determine your target (what do you want to know) Step 2: Determine what you already know Step 3: Set up the problem Step 4: Solve the problem (units should criss-cross applesauce) Step 5: Check if your answer is reasonable

It cost $. 001 per hour for electricity to run a light bulb It cost $.001 per hour for electricity to run a light bulb. Find the cost per month. Step 1: Determine your target (what do you want to know) Step 2: Determine what you already know Step 3: Set up the problem Step 4: Solve the problem (units should criss-cross applesauce) Step 5: Check if your answer is reasonable