6.RP.A.3d Math.6.RP.3d 6.RP.A.3.D 6.NR.4.7 6.RP.3.d 6.RP.A.3.d 6.RP.3d 6.RP.3.d 6.RP.3.d 6.RP.A.3.d 3 MA.6.AR.3.5 6.NR.4.7 6.GM.7

Convert Units 6th Grade

Arizona Academic Standards: 6.RP.A.3d Common Core State Standards: Math.6.RP.3d or 6.RP.A.3.D Kentucky Academic Standards (KAS): 6.RP.3.d Mississippi College- and Career-Readiness Standards: 6.RP.3d
Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Georgia Standards of Excellence (GSE): 6.NR.4.7
Use ratios to convert within measurement systems (customary and metric) to solve authentic problems that exist in everyday life.
Massachusetts Curriculum Frameworks: 6.RP.A.3.d
Use ratio reasoning to convert measurement units within and between measurement systems; manipulate and transform units appropriately when multiplying or dividing quantities. For example, Malik is making a recipe, but he cannot find his measuring cups! He has, however, found a tablespoon. His cookbook says that 1 cup = 16 tablespoons. Explain how he could use the tablespoon to measure out the following ingredients: two cups of flour, 1/2 cup sunflower seed, and 1 1/4 cup of oatmeal.²³
North Carolina - Standard Course of Study: 6.RP.3.d
Converting and manipulating measurements using given ratios.
New York State Next Generation Learning Standards: 6.RP.3.d
Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.Note: Conversion of units occur within a given measurement system, not across different measurement systems.
Tennessee Academic Standards: 6.RP.A.3.d
Use ratio reasoning to convert customary and metric measurement units (within the same system); manipulate and transform units appropriately when multiplying or dividing quantities.
Florida - Benchmarks for Excellent Student Thinking: MA.6.AR.3.5
Solve mathematical and real-world problems involving ratios, rates and unit rates, including comparisons, mixtures, ratios of lengths and conversions within the same measurement system.
Georgia Standards of Excellence (GSE): 6.NR.4.7
Use ratios to convert within measurement systems (customary and metric) to solve authentic problems that exist in everyday life.
Arkansas Academic Standards: 6.GM.7
Convert measurements within and between the metric and customary measurement systems to solve real-world and mathematical problems.

CONVERTING CUSTOMARY UNITS

CAPACITY

1 cup = 8 fluid ounces
1 pint = 2 cups
1 quart = 2 pints
1 gallon = 4 quarts

WEIGHT

1 pound = 16 ounces
1 ton = 2,000 pounds

LENGTH

1 foot = 12 inches
1 yard = 3 feet
1 mile = 5,280 feet
1 mile = 1,760 yards

56 cups = 56 cups \times \frac{1 pint}{2 cups} = \frac{56 pints}{2} = 28 pints

35 yards = 35 yards \times \frac{3 feet}{1 yard} = 105 feet

CONVERTING METRIC UNITS

CAPACITY

1 liter = 1,000 milliliters

MASS

1 kilogram = 1,000 grams

LENGTH

1 centimeter = 10 millimeters
1 meter = 1,000 millimeters
1 meter = 100 centimeters
1 kilometer = 1,000 meters

0.8 g = 0.8 g \times \frac{1,000 mg}{1 g} = 800 mg

800 mm = 800 mm \times \frac{1 m}{1,000 mm} = \frac{800 m}{1,000} = 0.8 m

Convert Units

Arizona Academic Standards: 6.RP.A.3d

Common Core State Standards: Math.6.RP.3d or 6.RP.A.3.D

Kentucky Academic Standards (KAS): 6.RP.3.d

Mississippi College- and Career-Readiness Standards: 6.RP.3d

Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Georgia Standards of Excellence (GSE): 6.NR.4.7

Use ratios to convert within measurement systems (customary and metric) to solve authentic problems that exist in everyday life.

Massachusetts Curriculum Frameworks: 6.RP.A.3.d

North Carolina - Standard Course of Study: 6.RP.3.d

Converting and manipulating measurements using given ratios.

New York State Next Generation Learning Standards: 6.RP.3.d

Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.Note: Conversion of units occur within a given measurement system, not across different measurement systems.

Tennessee Academic Standards: 6.RP.A.3.d

Use ratio reasoning to convert customary and metric measurement units (within the same system); manipulate and transform units appropriately when multiplying or dividing quantities.

Florida - Benchmarks for Excellent Student Thinking: MA.6.AR.3.5

Solve mathematical and real-world problems involving ratios, rates and unit rates, including comparisons, mixtures, ratios of lengths and conversions within the same measurement system.

Georgia Standards of Excellence (GSE): 6.NR.4.7

Use ratios to convert within measurement systems (customary and metric) to solve authentic problems that exist in everyday life.

Arkansas Academic Standards: 6.GM.7

Convert measurements within and between the metric and customary measurement systems to solve real-world and mathematical problems.

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