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

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

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

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

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

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

9. Mass
Some Derived Units
Kilogram
Milligrams
Tools
Balance

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

11. Weight
Some Derived Units
Ounces
Tons
Tools
Scales

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

13. Angles
Units
Degrees
Radians
Tools
Protractor
Compass

14. Estimate Angle Measure
900
600
1200
600

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

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

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

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

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

20. Temperature
No Derived Units
Tools
Thermometer

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