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Measurement

Measurement. What do we measure?. Distance. How many units to travel a path? Length Width Depth Perimeter Circumference Height Standard units: foot and meter. Some Derived Units Inches Miles Centimeters Kilometers Yards. Some Tools Ruler Yard stick

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Measurement

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  1. Measurement What do we measure?

  2. Distance How many units to travel a path? • Length • Width • Depth • Perimeter • Circumference • Height Standard units: foot and meter

  3. Some Derived Units Inches Miles Centimeters Kilometers Yards Some Tools Ruler Yard stick Meter stick Measuring tape Distance

  4. Area How many units to cover a region? Standard units: square feet and square meters

  5. Some Derived Units Square inches Square miles Square centimeters Square yards Acre Tools Grids Find area indirectly with linear tools Area

  6. Volume/Capacity How many units to fill a space? Standard units: cubic feet, cubic meters, cup and liter

  7. Some Derived Units Gallons Teaspoons Cubic centimeters Quarts Pints Bushels Pecks Milliliters Kiloliters Some tools Measuring cups Measuring spoons Gallon containers Graduated cylinders Beakers Volume/Capacity

  8. Mass How many units to balance an object? Standard unit: gram

  9. Some Derived Units Kilogram Milligrams Tools Balance Mass

  10. Weight How many units is gravity pulling down on an object? Standard unit: pound

  11. Some Derived Units Ounces Tons Tools Scales Weight

  12. Angles How many units did you turn? Standard units: degree and radian

  13. Units Degrees Radians Tools Protractor Compass Angles

  14. Estimate Angle Measure 900 600 1200 600

  15. Time How many units has the earth turned? Standard unit: day

  16. Some Derived Units Hours Years Minutes Century Decade Seconds Weeks Months Some Tools Clocks Calendar Sun dial Time

  17. Money How many units of buying power do you have? Standard units: dollar, peso, euro, etc.

  18. Some Derived Units Penny Dime Nickel Quarter Tools ? Money

  19. Temperature How many units are the molecules moving? Standard units: degrees Fahrenheit, Celsius, and Kelvin

  20. No Derived Units Tools Thermometer Temperature

  21. Sequence of Learning for Measurement First: Understand what is being measured (or counted) and measure with nonstandard units. Grade K and 1 (except time and money)

  22. Sequence of Learning for Measurement Second: Recognize the relationship between the size of the unit and the count and the need for the standard unit. Grade 2

  23. Sequence of learning for measurement Third: Develop intuition about standard units and use standard units to make measurements Grade 2

  24. Sequence of learning for measurement Fourth: Realize the need for derived units, select an appropriate unit and measure with derived units Grade 3 and 4

  25. Sequence of learning for measurement Fifth: Make conversions between units. Grades 3 and 4

  26. Sequence of learning for measurement Sixth: Understand the continuous nature of measurements and use fractional units. Grades 4, 5 and 6

  27. Sequence of learning for measurement Seventh: Find measures indirectly. Grade 4-8

  28. Sequence of learning for measurement Eighth: Use related rates

  29. Examples of Related Rate • Miles per hour (velocity) • Miles per gallon • Pounds per square inch • Dollars per gallon • Dollars per linear foot • Dollars per square foot

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