Grade 5 FCAT 2.0 Mathematics Reference Sheet

Grade 5 FCAT 2.0 Mathematics Reference Sheet
Area
A
Rectangle
KEY
bh
Parallelogram
A
bh
Triangle
A
1
2 bh
b
h
w
or
base
height
width
A
B
V
S.A.
area
area of base
volume
surface area
A = (bh) ÷ 2
A
Trapezoid
1
2 h (b1
b2) or
A = h(b1 + b2 ) ÷ 2
Volume of Rectangular Prism
V
bwh or
V
Bh
Surface Area of Rectangular Prism
S. A. = 2bh + 2bw + 2 hw
Customary Conversions
1 foot
1 yard
1 mile
1 mile
1 acre
12 inches
3 feet
5,280 feet
1,760 yards
43,560 square feet
Customary Conversions
1 cup 8 fluid ounces
1 pint 2 cups
1 quart 2 pints
1 gallon 4 quarts
1 pound 16 ounces
1 ton 2,000 pounds
Metric Conversions
1 centimeter 10 millimeters
1 meter 100 centimeters
1 meter 1000 millimeters
1 kilometer 1000 meters
Metric Conversions
1 liter
1 liter
1000 milliliters
1000 cubic centimeters
1 gram 1000 milligrams
1 kilogram 1000 grams
Time Conversions
1 minute 60 seconds
1 hour 60 minutes
1 day 24 hours
1 week 7 days
1 year 365 days
1 year 52 weeks
*Note: Metric numbers with four digits are presented without a comma (e.g., 9960 kilometers). For metric numbers greater than four digits, a space is used instead of a comma (e.g., 12 500 liters).
Florida Department of Education
FCAT Mathematics Grid Types
Grades 4 and 5
Whole
Grades 4 and 5
Percent
Grades 4 and 5
Currency Whole
Grades 4 and 5
Decimal
Grade 5
Whole
Grade 5
Decimal
Grades 6-10
Five-Column
Grades 6 and 7
Six-Column
Grades 4 and 5
Currency Decimal
Grades 7-10/EOC
Negative Grid
CONCEPT RELATED TO UNITS OF MEASURE
1. A measurement must include both a number and a unit.
Very often, children will forget to “label” their answer.
The answer, “the table measures 6” needs clarification: 6 what?
2. Two measurements may be easily compared if the same unit is used.
This concept demonstrates the need for conversion to a common unit
when two uncommon units are compared in a question. “The dining
room table is 6 feet long and the kitchen table is 48 inches in length.
How much longer is the dining room table?
3. One unit may be more appropriate than another to measure an
object.
Why is the length of a football field measured in yards rather than
inches?
4. There is an inverse relationship between the number of units and
the size of the unit.
Measure the length of a bulletin board in feet.
Ask: If we measure in inches, would our answer be a larger number or
smaller?
Children tend to assume that since the foot represents a larger unit,
there will be more of them.
5. Standard units are needed to communicate effectively.
Understanding this concepts helps transition from measuring with
non-standard units to standard customary and metric measures.
How Big is A Foot by Rolf Millar, develops this concept so that the
children understand it.
6. A smaller unit will give a more precise measurement.
Have the children measure the length of their textbook using any unit
of measure. For those that chose to measure in feet, they will not be
able to give you an exact measure. However, the children that
measured using inches will be able to tell you that their book is 11
inches long.