1 / 14

Sixth Grade Block 3

Sixth Grade Block 3. Common Core State Standards. 6.RP.3d Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities. Ratio Table.

tonya
Download Presentation

Sixth Grade Block 3

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Sixth Grade Block 3

  2. Common Core State Standards 6.RP.3d Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

  3. Ratio Table The table shows the approximate weights, in tons, of several large land animals. Convert each weight from tons to pounds. Step 1 Make a ratio table.

  4. Step 2 Graph the ordered pair (tons, pounds) from the table on the coordinate plane.

  5. Practice Solve these problems by making a table and then graph the data. Check with your partner to see if you agree.

  6. Unit Ratio Each relationship in the table can be written as a ratio. For example, you know that 1 yard = 3 feet. You can use the ratio 3 ft/1 yd to convert from yards to feet.

  7. Dividing Out Use multiplication to introduce dividing out common units. 5 boxes • 8 crayons/box = 40 crayons

  8. Convert Larger Units to Smaller Units Like a unit rate, a unit ratiois one in which the denominator is 1 unit. So, the ratio 3 ft/1 yard is a unit ratio. Dimensional analysis is the process of including units of measurement as factors when you compute.

  9. Convert 20 feet to inches. Since 1 foot = 12 inches, the unit ratio is 12 in. 1 ft 20 ft = 20 ft • 12 in. 1 ft = 20 • 12 in. = 240 in. So, 20 feet = 240 inches.

  10. Marco mixes ¼ cup of fertilizer with soil before planting each flower bulb. How many fluid ounces of fertilizer does he use per flower bulb? ¼ cup = ¼ cup • 8 fl oz 1 cup = ¼ • 8 fl oz = 2 fl oz So, 2 fluid ounces of fertilizer are used per flower bulb.

  11. Convert Smaller Units to Larger Units The ratios 1 yd/3 ft and 3 ft/1 yd are equivalent. To convert from smaller units to larger units, choose the ratio that allows you to divide out the common units. 12 ft • 1 yd12 ft • 3 ft 3 ft 1 yd

  12. Convert 15 quarts to gallons. Since 1 gallon = 4 quarts, and quarts are smaller units than gallons, use the ratio 1 gal/4 qt. 15 qt = 15 qt • 1 gal 4 qt = 15 • ¼ gal = 3 ¾ gal or 3.75 gal

  13. Miranda needs ½ pound of green beans for a recipe she wants to make. How many ounces of green beans does Miranda need? ½ lb = ½ lb • 8 oz 1 lb = ½ • 8 oz = 4 oz So, Miranda needs 4 ounces of green beans.

  14. Practice Solve these problems by using ratios. Check with your partner to see if you agree.

More Related