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# Math on the Mind

Math on the Mind. 12. 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?. 2. 3. 60. 5280. 8 oz/cup. × 2 c/pt. × 2 pt/qt. × 4 qt/gal. = 128 oz/gal.

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## Math on the Mind

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1. Math on the Mind 12 • 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? 2 3 60 5280 8 oz/cup × 2 c/pt × 2 pt/qt × 4 qt/gal = 128 oz/gal

2. Unit Rates Unit 4, Day 2 Adapted from the lesson at www.mrhammond.org/math/mathlessons/6-2.ppt

3. 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.

4. Examples Rate: 150 heartbeats 2 minutes Unit Rate (Divide to get it): 150 ÷ 2 = 75 heartbeats per minute.

5. Food for Thought… Can you think of any unit rates you may encounter in “the real world”?

6. 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

7. cost \$1.56 ounces 48 oz = \$.0325/oz Unit Rate Example A brand of apple juice costs \$1.56 for 48 oz. Find the unit rate. The unit rate is 3.25¢/oz.

8. 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 \$0.04 per fl.oz. 0.043125 48 fl.oz. \$1.64 \$0.05 per fl.oz. 0.05125 32 fl.oz. The 48 fl.oz. bottle is the better value.

11. Time to Shop! • http://www.brainpop.com/math/dataanalysis/comparingprices/

12. Conversion Factors • A conversion factor is a ratio of equivalent measurements.

13. 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

14. 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

15. 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

16. Using Conversion Factors

17. Practice:

18. Practice:

19. Homework • Page 145, #1-6, 9-15

20. Customary Units • http://www.brainpop.com/math/numbersandoperations/customaryunits/preview.weml http://www.hillsboroschools.net/team6a/connor/math/Ch3%20--%20Decimals%20and%20Metrics/MeasurementPics/units_of_measure.gif

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