5th Grade STAAR Math Reference Sheet & Formula Chart
Official Texas TEA formulas for volume, perimeter, area, and measurement conversions for Grade 5 Mathematics.
Perimeter, Area & Volume Formulas (TEKS 5.4H, 5.6A, 5.6B)
Official formulas provided on the Texas Grade 5 STAAR Mathematics reference sheet.
| Measurement | Geometric Figure | Formula | Definition & Application |
|---|---|---|---|
| Perimeter | Square | P = 4s | Four times the side length s. |
| Rectangle | P = 2l + 2w or P = 2(l + w) | Two lengths plus two widths. | |
| Area | Square | A = s × s | Side length multiplied by itself. |
| Rectangle | A = l × w | Length multiplied by width. | |
| Volume | Rectangular Prism | V = l × w × h | Length times width times height. |
| Rectangular Prism | V = Bh | Base area B (l × w) times height h. |
Customary & Metric Measurement Conversions (TEKS 5.7A)
Official unit conversions provided on the Grade 5 reference materials chart.
Customary Conversions
1 mile (mi) = 1,760 yards (yd) = 5,280 feet (ft)
1 yard (yd) = 3 feet (ft) = 36 inches (in.)
1 foot (ft) = 12 inches (in.)
1 gallon (gal) = 4 quarts (qt)
1 quart (qt) = 2 pints (pt)
1 pint (pt) = 2 cups (c)
1 cup (c) = 8 fluid ounces (fl oz)
1 ton (T) = 2,000 pounds (lb)
1 pound (lb) = 16 ounces (oz)
Metric Conversions
1 kilometer (km) = 1,000 meters (m)
1 meter (m) = 100 centimeters (cm) = 1,000 millimeters (mm)
1 centimeter (cm) = 10 millimeters (mm)
1 liter (L) = 1,000 milliliters (mL)
1 kilogram (kg) = 1,000 grams (g)
1 gram (g) = 1,000 milligrams (mg)
Time Conversions
1 year = 12 months = 52 weeks = 365 days
1 week = 7 days • 1 day = 24 hours
1 hour = 60 minutes • 1 minute = 60 seconds
Test Your Skills with 5th Grade STAAR Math Practice
Solve authentic Texas TEKS volume word problems, decimal calculations, and fraction division questions with instant step-by-step rationales.
5th Grade STAAR Math Reference Sheet FAQs
Essential answers on using the Grade 5 formula chart, volume formulas, and unit conversion questions.
What volume formulas are provided on the 5th Grade STAAR Math reference sheet?
The official Texas Grade 5 Mathematics Reference Materials sheet provides two formulas for the volume of a rectangular prism: V = l × w × h (length times width times height) and V = Bh (where capital B represents the area of the base, l × w). Students should understand that both formulas calculate the identical cubic units.
Can 5th graders use a calculator on the STAAR Math test?
No. General education 5th-grade students are not permitted to use calculators on the STAAR Mathematics assessment. Computational fluency—including multi-digit decimal multiplication, decimal division, and fraction operations—must be performed by hand using paper and pencil. Calculators are only permitted for students with documented IEP or Section 504 accommodation plans.
How do students use the base area (B) formula on STAAR volume questions?
Many STAAR questions give the area of the bottom floor or base layer (for example, B = 36 sq cm) and ask for the total volume given a height of 5 cm. Students apply V = Bh by multiplying 36 × 5 = 180 cubic centimeters, without having to calculate individual length and width dimensions.
What conversion factors should 5th graders know from the reference chart?
The reference chart provides all customary length (miles, yards, feet, inches), volume (gallons, quarts, pints, cups, fluid ounces), and weight conversions (tons, pounds, ounces), along with metric prefixes (kilo-, centi-, milli-). Students must practice selecting the appropriate conversion factor to set up one- and two-step proportional equations.