Presentation on theme: "Math on the Mind How many inches are in 1 foot? How many cups are in 1 pint? How many feet are in 1 yard? How many seconds in 1 minute? CHALLENGES: How."— Presentation transcript:
Math on the Mind How many inches are in 1 foot? How many cups are in 1 pint? How many feet are in 1 yard? How many seconds in 1 minute? CHALLENGES: How many feet in 1 mile? How many ounces in 1 gallon? 12 2 3 60 5280 8 oz/cup× 2 c/pt× 2 pt/qt× 4 qt/gal= 128 oz/gal
Unit Rates Unit 4, Day 2 Adapted from the lesson at www.mrhammond.org/math/mathlessons/6-2.ppt
Vocabulary A rate is a ratio that compares two quantities measured in different units. The unit rate is the rate for one unit of a given quantity. Unit rates have a denominator of 1.
Examples Rate: 150 heartbeats 2 minutes Unit Rate (Divide to get it): 150 ÷ 2 = 75 heartbeats per minute.
Food for Thought… Can you think of any unit rates you may encounter in the real world?
Calculate the Unit Rate Gas mileage: 78 miles using 3 gallons of gas Starting wage: $326 for 40 hours of work Sale price: $2 for 5 cans of soup 26 miles/gallon $8.15/hour $0.40/can
A brand of apple juice costs $1.56 for 48 oz. Find the unit rate. The unit rate is 3.25¢/oz. cost $1.56 ounces 48 oz = $.0325/oz Unit Rate Example
Example Grape juice is sold in two different sizes. A 48- fluid ounce bottle costs $2.07. A 32-fluid ounce bottle costs $1.64. Which is the better buy? $2.07 48 fl.oz. 0.043125 $0.04 per fl.oz. $1.64 32 fl.oz. 0.05125 $0.05 per fl.oz. The 48 fl.oz. bottle is the better value.
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Conversion Factors A conversion factor is a ratio of equivalent measurements.
Example Problem: A roll of Christmas gift wrap contains 2.5 meters of paper. What is the length of the paper in yards? Step 1: Write down the known values and the unknown values. Known : length of paper in meters: 2.5 meters Unknown : length of paper in yards http://www2.franciscan.edu/academic/mathsci/mathscienceintegation/MathScienceIntegation-620.htm
Example Problem: A roll of Christmas gift wrap contains 2.5 meters of paper. What is the length of the paper in yards? Step 2: Find the conversion factor that gives a ratio between meters and yards. Conversion factor 1 meter = 1.09 yards http://www2.franciscan.edu/academic/mathsci/mathscienceintegation/MathScienceIntegation-620.htm
Example Problem: A roll of Christmas gift wrap contains 2.5 meters of paper. What is the length of the paper in yards? Step 3: Write the conversion factor as a fraction with the unit you want to convert to on top and set the problem up as an equation. http://www2.franciscan.edu/academic/mathsci/mathscienceintegation/MathScienceIntegation-620.htm 2.5 meters x 1.09 yards = 1 meter 2.725 yards You can see that the unit meters will cancel.