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11-1 Customary Units of
         Length
            Math Notes
     Algebra and Functions 2.1
What you’re learning today...
What you’re learning today...

Algebra and Function 2.1 - Convert one unit
of measurement to another
What you’re learning today...

Algebra and Function 2.1 - Convert one unit
of measurement to another
  Converting 18 inches into 1 foot and 6
  inches (1’6”).
What you’re learning today...

Algebra and Function 2.1 - Convert one unit
of measurement to another
  Converting 18 inches into 1 foot and 6
  inches (1’6”).
  Converting 48 inches into 1 yard and a
  foot.
Customary Units of Length
Customary Units of Length

 12 inches (in.) = 1 foot (ft)
Customary Units of Length

 12 inches (in.) = 1 foot (ft)
 36 inches = 1 yard
Customary Units of Length

 12 inches (in.) = 1 foot (ft)
 36 inches = 1 yard
 3 feet = 1 yard (yd)
Customary Units of Length

 12 inches (in.) = 1 foot (ft)
 36 inches = 1 yard
 3 feet = 1 yard (yd)
 5,280 feet = 1 mile (mi)
Measure the model car
         to the given unit.

Nearest inch
Measure the model car
         to the given unit.

Nearest inch
Measure the model car
         to the given unit.

Nearest inch
Measure the model car
         to the given unit.

Nearest inch
Measure the model car
           to the given unit.

Nearest inch

Is is closer to
 2 inches or
   3 inches?
Measure the model car
            to the given unit.

Nearest inch

 Is is closer to
  2 inches or
    3 inches?

Answer: 3 inches
Measure the model car
          to the given unit.
        1
Nearest 2 inch
Measure the model car
          to the given unit.
        1
Nearest 2 inch
                 0”   1”   2”   3”
Measure the model car
          to the given unit.
        1
Nearest 2 inch
                 0”   1”   2”   3”
Measure the model car
          to the given unit.
        1
Nearest 2 inch
                 0”       1”        2”    3”




                      1         1     1
                      2        12    22
Measure the model car
            to the given unit.
        1
Nearest 2 inch
                  0”       1”        2”    3”




Answer:   2   1
              2
                       1         1     1
                       2        12    22
Measure the model car
          to the given unit.
        1
Nearest 4 inch
Measure the model car
          to the given unit.
        1
Nearest 4 inch
                 0”   1”   2”   3”
Measure the model car
          to the given unit.
        1
Nearest 4 inch
                 0”   1”   2”   3”
Measure the model car
          to the given unit.
        1
Nearest 4 inch
                 0”   1”   2”   3”
Measure the model car
          to the given unit.
        1
Nearest 4 inch
                 0”      1”      2”      3”




                  1 23    1 23    1 23
                  444     444     444
Measure the model car
              to the given unit.
        1
Nearest 4 inch
                 0”       1”      2”      3”




    2   3
        4


                   1 23    1 23    1 23
                   444     444     444
Measure the model car to the given unit.


Nearest
1 inch
8
Measure the model car to the given unit.


Nearest
1 inch
8
Measure the model car to the given unit.


Nearest
1 inch
8
Measure the model car to the given unit.


Nearest
1 inch
          1 2 3 4 5 6 7   1 2 3 4 5 6 7   1 2 3 4 5 6 7
8         8 8 8 8 8 8 8   8 8 8 8 8 8 8   8 8 8 8 8 8 8
Measure the model car to the given unit.


Nearest
1 inch
          1 2 3 4 5 6 7   1 2 3 4 5 6 7   1 2 3 4 5 6 7
8         8 8 8 8 8 8 8   8 8 8 8 8 8 8   8 8 8 8 8 8 8




2   5
    8
2 ft 3 in. = ___ in.
2 ft 3 in. = ___ in.
Step ONE: Take a look at the largest unit of
measurement. Feet or inches?
2 ft 3 in. = ___ in.
Step ONE: Take a look at the largest unit of
measurement. Feet or inches?

                        2 feet
2 ft 3 in. = ___ in.
Step ONE: Take a look at the largest unit of
measurement. Feet or inches?

                        2 feet

Step TWO: Remember that 1 foot is 12 inches. There
are 2 feet. What’s 12 x 2?
2 ft 3 in. = ___ in.
Step ONE: Take a look at the largest unit of
measurement. Feet or inches?

                        2 feet

Step TWO: Remember that 1 foot is 12 inches. There
are 2 feet. What’s 12 x 2?

                       24 inches
2 ft 3 in. = ___ in.
Step ONE: Take a look at the largest unit of
measurement. Feet or inches?

                        2 feet

Step TWO: Remember that 1 foot is 12 inches. There
are 2 feet. What’s 12 x 2?

                       24 inches

Step THREE: Add the inches you converted in Step TWO
to 3 inches.
2 ft 3 in. = ___ in.
Step ONE: Take a look at the largest unit of
measurement. Feet or inches?

                        2 feet

Step TWO: Remember that 1 foot is 12 inches. There
are 2 feet. What’s 12 x 2?

                       24 inches

Step THREE: Add the inches you converted in Step TWO
to 3 inches.

                    24” + 3” = 27”
27 in. = ___ ft.
27 in. = ___ ft.
Step ONE: Remember that for every 12 inches is 1 foot.
27 in. = ___ ft.
Step ONE: Remember that for every 12 inches is 1 foot.

Step TWO: Divide 27 inches by 12.
27 in. = ___ ft.
Step ONE: Remember that for every 12 inches is 1 foot.

Step TWO: Divide 27 inches by 12.

                           2 r3
                       12 27
                          24
                           3
27 in. = ___ ft.
Step ONE: Remember that for every 12 inches is 1 foot.

Step TWO: Divide 27 inches by 12.

                           2 r3
                       12 27
                          24
                           3
 Step THREE: The 2 in the quotient is how many feet.
 The remainder is still measured in inches.
27 in. = ___ ft.
Step ONE: Remember that for every 12 inches is 1 foot.

Step TWO: Divide 27 inches by 12.

                           2 r3
                       12 27
                          24
                           3
 Step THREE: The 2 in the quotient is how many feet.
 The remainder is still measured in inches.

               2 r3 = 2 feet and 3 inches
Find 1 ft 9 in. + 1 ft 6 in.
Find 1 ft 9 in. + 1 ft 6 in.
          1 ft 9 in.
Find 1 ft 9 in. + 1 ft 6 in.
          1 ft 9 in.
          1 ft 6 in.
Find 1 ft 9 in. + 1 ft 6 in.
          1 ft 9 in.
     +    1 ft 6 in.
Find 1 ft 9 in. + 1 ft 6 in.
          1 ft 9 in.
     +    1 ft 6 in.
         2 ft 15 in.
Find 1 ft 9 in. + 1 ft 6 in.
                1 ft 9 in.
         +      1 ft 6 in.
               2 ft 15 in.
Pretty EASY, but...
Find 1 ft 9 in. + 1 ft 6 in.
                1 ft 9 in.
         +      1 ft 6 in.
               2 ft 15 in.
Pretty EASY, but...

  You can’t leave 15 in. as 15 in.
Find 1 ft 9 in. + 1 ft 6 in.
                1 ft 9 in.
         +      1 ft 6 in.
               2 ft 15 in.
Pretty EASY, but...

  You can’t leave 15 in. as 15 in.

  15 in. = ___ ft
Find 1 ft 9 in. + 1 ft 6 in.
                1 ft 9 in.
         +      1 ft 6 in.
               2 ft 15 in.
Pretty EASY, but...

  You can’t leave 15 in. as 15 in.

  15 in. = ___ ft

     1 ft and 3 in. (Add this to 2 ft)
Find 1 ft 9 in. + 1 ft 6 in.
                 1 ft 9 in.
         +       1 ft 6 in.
                2 ft 15 in.
Pretty EASY, but...

  You can’t leave 15 in. as 15 in.

  15 in. = ___ ft

     1 ft and 3 in. (Add this to 2 ft)

     2 ft + 1 ft 3 in. = 3 ft 3 in.

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6-5 Multiplying Decimals
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11-1 Customary Units of Length

  • 1. 11-1 Customary Units of Length Math Notes Algebra and Functions 2.1
  • 3. What you’re learning today... Algebra and Function 2.1 - Convert one unit of measurement to another
  • 4. What you’re learning today... Algebra and Function 2.1 - Convert one unit of measurement to another Converting 18 inches into 1 foot and 6 inches (1’6”).
  • 5. What you’re learning today... Algebra and Function 2.1 - Convert one unit of measurement to another Converting 18 inches into 1 foot and 6 inches (1’6”). Converting 48 inches into 1 yard and a foot.
  • 7. Customary Units of Length 12 inches (in.) = 1 foot (ft)
  • 8. Customary Units of Length 12 inches (in.) = 1 foot (ft) 36 inches = 1 yard
  • 9. Customary Units of Length 12 inches (in.) = 1 foot (ft) 36 inches = 1 yard 3 feet = 1 yard (yd)
  • 10. Customary Units of Length 12 inches (in.) = 1 foot (ft) 36 inches = 1 yard 3 feet = 1 yard (yd) 5,280 feet = 1 mile (mi)
  • 11. Measure the model car to the given unit. Nearest inch
  • 12. Measure the model car to the given unit. Nearest inch
  • 13. Measure the model car to the given unit. Nearest inch
  • 14. Measure the model car to the given unit. Nearest inch
  • 15. Measure the model car to the given unit. Nearest inch Is is closer to 2 inches or 3 inches?
  • 16. Measure the model car to the given unit. Nearest inch Is is closer to 2 inches or 3 inches? Answer: 3 inches
  • 17. Measure the model car to the given unit. 1 Nearest 2 inch
  • 18. Measure the model car to the given unit. 1 Nearest 2 inch 0” 1” 2” 3”
  • 19. Measure the model car to the given unit. 1 Nearest 2 inch 0” 1” 2” 3”
  • 20. Measure the model car to the given unit. 1 Nearest 2 inch 0” 1” 2” 3” 1 1 1 2 12 22
  • 21. Measure the model car to the given unit. 1 Nearest 2 inch 0” 1” 2” 3” Answer: 2 1 2 1 1 1 2 12 22
  • 22. Measure the model car to the given unit. 1 Nearest 4 inch
  • 23. Measure the model car to the given unit. 1 Nearest 4 inch 0” 1” 2” 3”
  • 24. Measure the model car to the given unit. 1 Nearest 4 inch 0” 1” 2” 3”
  • 25. Measure the model car to the given unit. 1 Nearest 4 inch 0” 1” 2” 3”
  • 26. Measure the model car to the given unit. 1 Nearest 4 inch 0” 1” 2” 3” 1 23 1 23 1 23 444 444 444
  • 27. Measure the model car to the given unit. 1 Nearest 4 inch 0” 1” 2” 3” 2 3 4 1 23 1 23 1 23 444 444 444
  • 28. Measure the model car to the given unit. Nearest 1 inch 8
  • 29. Measure the model car to the given unit. Nearest 1 inch 8
  • 30. Measure the model car to the given unit. Nearest 1 inch 8
  • 31. Measure the model car to the given unit. Nearest 1 inch 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
  • 32. Measure the model car to the given unit. Nearest 1 inch 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 5 8
  • 33. 2 ft 3 in. = ___ in.
  • 34. 2 ft 3 in. = ___ in. Step ONE: Take a look at the largest unit of measurement. Feet or inches?
  • 35. 2 ft 3 in. = ___ in. Step ONE: Take a look at the largest unit of measurement. Feet or inches? 2 feet
  • 36. 2 ft 3 in. = ___ in. Step ONE: Take a look at the largest unit of measurement. Feet or inches? 2 feet Step TWO: Remember that 1 foot is 12 inches. There are 2 feet. What’s 12 x 2?
  • 37. 2 ft 3 in. = ___ in. Step ONE: Take a look at the largest unit of measurement. Feet or inches? 2 feet Step TWO: Remember that 1 foot is 12 inches. There are 2 feet. What’s 12 x 2? 24 inches
  • 38. 2 ft 3 in. = ___ in. Step ONE: Take a look at the largest unit of measurement. Feet or inches? 2 feet Step TWO: Remember that 1 foot is 12 inches. There are 2 feet. What’s 12 x 2? 24 inches Step THREE: Add the inches you converted in Step TWO to 3 inches.
  • 39. 2 ft 3 in. = ___ in. Step ONE: Take a look at the largest unit of measurement. Feet or inches? 2 feet Step TWO: Remember that 1 foot is 12 inches. There are 2 feet. What’s 12 x 2? 24 inches Step THREE: Add the inches you converted in Step TWO to 3 inches. 24” + 3” = 27”
  • 40. 27 in. = ___ ft.
  • 41. 27 in. = ___ ft. Step ONE: Remember that for every 12 inches is 1 foot.
  • 42. 27 in. = ___ ft. Step ONE: Remember that for every 12 inches is 1 foot. Step TWO: Divide 27 inches by 12.
  • 43. 27 in. = ___ ft. Step ONE: Remember that for every 12 inches is 1 foot. Step TWO: Divide 27 inches by 12. 2 r3 12 27 24 3
  • 44. 27 in. = ___ ft. Step ONE: Remember that for every 12 inches is 1 foot. Step TWO: Divide 27 inches by 12. 2 r3 12 27 24 3 Step THREE: The 2 in the quotient is how many feet. The remainder is still measured in inches.
  • 45. 27 in. = ___ ft. Step ONE: Remember that for every 12 inches is 1 foot. Step TWO: Divide 27 inches by 12. 2 r3 12 27 24 3 Step THREE: The 2 in the quotient is how many feet. The remainder is still measured in inches. 2 r3 = 2 feet and 3 inches
  • 46. Find 1 ft 9 in. + 1 ft 6 in.
  • 47. Find 1 ft 9 in. + 1 ft 6 in. 1 ft 9 in.
  • 48. Find 1 ft 9 in. + 1 ft 6 in. 1 ft 9 in. 1 ft 6 in.
  • 49. Find 1 ft 9 in. + 1 ft 6 in. 1 ft 9 in. + 1 ft 6 in.
  • 50. Find 1 ft 9 in. + 1 ft 6 in. 1 ft 9 in. + 1 ft 6 in. 2 ft 15 in.
  • 51. Find 1 ft 9 in. + 1 ft 6 in. 1 ft 9 in. + 1 ft 6 in. 2 ft 15 in. Pretty EASY, but...
  • 52. Find 1 ft 9 in. + 1 ft 6 in. 1 ft 9 in. + 1 ft 6 in. 2 ft 15 in. Pretty EASY, but... You can’t leave 15 in. as 15 in.
  • 53. Find 1 ft 9 in. + 1 ft 6 in. 1 ft 9 in. + 1 ft 6 in. 2 ft 15 in. Pretty EASY, but... You can’t leave 15 in. as 15 in. 15 in. = ___ ft
  • 54. Find 1 ft 9 in. + 1 ft 6 in. 1 ft 9 in. + 1 ft 6 in. 2 ft 15 in. Pretty EASY, but... You can’t leave 15 in. as 15 in. 15 in. = ___ ft 1 ft and 3 in. (Add this to 2 ft)
  • 55. Find 1 ft 9 in. + 1 ft 6 in. 1 ft 9 in. + 1 ft 6 in. 2 ft 15 in. Pretty EASY, but... You can’t leave 15 in. as 15 in. 15 in. = ___ ft 1 ft and 3 in. (Add this to 2 ft) 2 ft + 1 ft 3 in. = 3 ft 3 in.

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