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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.

  9. Where do I EVER see this? http://www.google.com/imgres?q=shelf+labels+wegmans&hl=en&rlz=1R2ADSA_enUS405&biw=1024&bih=543&tbm=isch&tbnid=1zI8Rm7UfSj5iM:&imgrefurl=http://www.babiesdesignfood.com/2011/04/ya-gotta-go-make-some-groceries-at.html&docid=T76ihBnCg_R2DM&imgurl=http://4.bp.blogspot.com/-EHk2Le-jVY0/TbBRns-98QI/AAAAAAAABBo/DSSknMoQc2k/s1600/IMG_2993.jpg&w=576&h=432&ei=oZSwTvrOLKLb0QHo75CnAQ&zoom=1&iact=hc&vpx=535&vpy=220&dur=78&hovh=194&hovw=259&tx=150&ty=115&sig=101549648530835685433&page=8&tbnh=146&tbnw=201&start=66&ndsp=8&ved=1t:429,r:2,s:66

  10. http://www.google.com/imgres?q=grocery+store+shelf+labels&hl=en&rlz=1R2ADSA_enUS405&biw=1024&bih=543&tbm=isch&tbnid=xKYVR4LLoePzyM:&imgrefurl=http://www.extension.org/pages/19896/using-unit-pricing&docid=XV6loYpkUOojcM&imgurl=http://www.extension.org/mediawiki/files/b/be/10oz_cheerios.jpg&w=250&h=87&ei=J5awTreUJ6TY0QGZmv3qAQ&zoom=1&iact=hc&vpx=775&vpy=221&dur=32&hovh=69&hovw=200&tx=76&ty=62&sig=101549648530835685433&page=1&tbnh=69&tbnw=200&start=0&ndsp=8&ved=1t:429,r:3,s:0http://www.google.com/imgres?q=grocery+store+shelf+labels&hl=en&rlz=1R2ADSA_enUS405&biw=1024&bih=543&tbm=isch&tbnid=xKYVR4LLoePzyM:&imgrefurl=http://www.extension.org/pages/19896/using-unit-pricing&docid=XV6loYpkUOojcM&imgurl=http://www.extension.org/mediawiki/files/b/be/10oz_cheerios.jpg&w=250&h=87&ei=J5awTreUJ6TY0QGZmv3qAQ&zoom=1&iact=hc&vpx=775&vpy=221&dur=32&hovh=69&hovw=200&tx=76&ty=62&sig=101549648530835685433&page=1&tbnh=69&tbnw=200&start=0&ndsp=8&ved=1t:429,r:3,s:0 http://www.google.com/imgres?q=grocery+store+shelf+labels&hl=en&rlz=1R2ADSA_enUS405&biw=1024&bih=543&tbm=isch&tbnid=9L1KK3GsGn_URM:&imgrefurl=http://pvhs.fms.k12.nm.us/teachers/jlong/Algebra%2520Lesson%2520Plans%2520Fall%25202010&docid=nw59zIOy6HOIAM&imgurl=http://pvhs.fms.k12.nm.us/teachers/jlong/04F384E3-00757F35.37/10610_22630_0.gif%253Fsrc%253D.PNG&w=162&h=92&ei=J5awTreUJ6TY0QGZmv3qAQ&zoom=1&iact=rc&dur=47&sig=101549648530835685433&page=10&tbnh=73&tbnw=129&start=81&ndsp=8&ved=1t:429,r:0,s:81&tx=84&ty=76

  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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