ILEARN Grade 4-8 Mathematics Reference Sheet - Unit Conversions, Area, Volume, and Geometry Formulas

Sep 30, 2026

Uploaded by Mabel

A grade 4 to grade 8 ILEARN mathematics reference sheet consolidating essential formulas and measurement conversions. It lists customary and metric length, volume and capacity, weight and mass, and time relationships such as yards/feet/inches and liters/milliliters. It also provides geometry references including area of basic shapes, area and circumference of circles, volume for cylinders, cones, spheres, and pyramids, surface area of a sphere, and the Pythagorean theorem for right triangles. The sheet aligns with 2023 Indiana Academic Standards for ILEARN beginning 2024-2025.

LanguageEnglish

CategoryExam

FormatPDF

Pages5

Reading Time13 min

AccessFree to download

Measurement Conversions

Length, Volume, and Capacity

Weight and Mass

Time

Geometry and Area/Volume

Area of Polygons

Circles: Area and Circumference

Solid Figures: Volume and Surface Area

Key Theorem

Pythagorean Theorem

ILEARN Grade 4 Mathematics Reference Sheet Length Customary Metric 1 yard (yd) = 3 feet (ft) 1 foot (ft) = 12 inches (in) 1 kilometer (km) = 1,000 meters (m) 1 meter (m) = 100 centimeters (cm) Volume and Capacity Customary Metric 1 gallon (gal) = 4 quarts (qt) 1 quart (qt) = 2 pints (pt) 1 pint (pt) = 2 cups (c) 1 liter (L) = 1,000 milliliters (mL) Weight and Mass Customary Metric 1 pound (lb) = 16 ounces (oz) 1 kilogram (kg) = 1,000 grams (g) Time 1 year = 12 months 1 year = 52 weeks 1 week = 7 days 1 day = 24 hours 1 hour = 60 minutes 1 minute = 60 seconds For use with 2023 Indiana Academic Standards For use on ILEARN beginning School Year 2024-2025 ILEARN Grade 5 Mathematics Reference Sheet Length Customary Metric 1 yard (yd) = 3 feet (ft) 1 foot (ft) = 12 inches (in) 1 kilometer (km) = 1,000 meters (m) 1 meter (m) = 100 centimeters (cm) Volume and Capacity Customary Metric 1 gallon (gal) = 4 quarts (qt) 1 quart (qt) = 2 pints (pt) 1 pint (pt) = 2 cups (c) 1 liter (L) = 1,000 milliliters (mL) Weight and Mass Customary 1 pound (lb) = 16 ounces (oz) Time 1 year = 12 months 1 year = 52 weeks 1 week = 7 days 1 day = 24 hours 1 hour = 60 minutes 1 minute = 60 seconds Metric 1 kilogram (kg) = 1,000 grams (g) Area Area of a triangle = ~~ ~~12~~ ~~􀕊ℎ Area of a parallelogram = 􀕊ℎ Area of a trapezoid = ~~ ~~12~~ ~~ℎ (􀕊 1 + 􀕊2) For use with 2023 Indiana Academic Standards For use on ILEARN beginning School Year 2024-2025 ILEARN Grade 6 Mathematics Reference Sheet Length 1 kilometer (km) ≈ 0.62 mile (mi) 1 meter (m) ≈ 3.28 feet (ft) 1 meter (m) ≈ 1.09 yards (yd) 1 meter (m) ≈ 39.37 inches (in) 1 centimeter (cm) ≈ 0.39 inch (in) 1 mile (mi) ≈ 1.61 kilometers (km) 1 foot (ft) ≈ 0.30 meter (m) 1 yard (yd) ≈ 0.91 meter (m) 1 inch (in) ≈ 2.54 centimeters (cm) Volume 1 liter (L) ≈ 1.06 quarts 1 liter (L) ≈ 0.26 gallon 1 gallon (gal) ≈ 3.79 liters (L) 1 quart (qt) ≈ 0.95 liter (L) 1 ﬂuid ounce ≈ 29.57 milliliters (mL) Mass 1 kilogram (kg) ≈ 2.20 pounds (lb) 1 gram (g) ≈ 0.04 ounce (oz) 1 pound (lb) ≈ 0.45 kilograms (kg) 1 ounce (oz) ≈ 28.35 grams (g) Area Area of a triangle = ~~ ~~12~~ ~~ 􀕊ℎ Area of a parallelogram = 􀕊ℎ Area of a trapezoid = ~~ 1~~2~~ ~~ ℎ (􀕊 1 + 􀕊2) For use with 2023 Indiana Academic Standards For use on ILEARN beginning School Year 2024-2025 ILEARN Grade 7 Mathematics Reference Sheet Volume Volume of a cylinder = π􀕚2ℎ Area Area of a circle = π􀕚2 Circumference Circumference of a circle = π􀕌 or 2π􀕚 For use with 2023 Indiana Academic Standards For use on ILEARN beginning School Year 2024-2025 ILEARN Grade 8 Mathematics Reference Sheet Volume Volume of a cone = ~~ ~~13~~ ~~ π􀕚2ℎ Volume of a sphere = ~~ ~~43~~ ~~π􀕚3 Volume of a pyramid = ~~ ~~13~~ ~~ 􀔰ℎ Surface Area Surface area of a sphere = 4π􀕚2 Pythagorean Theorem Pythagorean Theorem: 􀕉2 + 􀕊 2 = 􀕋2 For use with 2023 Indiana Academic Standards For use on ILEARN beginning School Year 2024-2025

FAQs

What measurement conversions are included for Grades 4–8?

The reference sheet provides conversions for length, volume/capacity, weight/mass, and time, covering both customary and metric systems (and metric approximations for higher grades).

Does the sheet include the Pythagorean theorem?

Yes. It provides the Pythagorean Theorem in equation form for right triangles.

How does the reference sheet relate to academic standards?

It states it is for use with the 2023 Indiana Academic Standards and for ILEARN beginning the 2024-2025 school year.

Sep 30, 2026

Uploaded by Mabel