Grades 9, 10, and Exit Level Mathematics Chart
LENGTH |
|
Metric |
Customary |
1 kilometer = 1000 meters | 1 mile = 1760 yards |
1 meter = 100 centimeters | 1 mile = 5280 feet |
1 centimeter = 10 millimeters | 1 yard = 3 feet |
1 foot = 12 inches | |
CAPACITY AND VOLUME |
|
Metric |
Customary |
1 liter = 1000 milliliters | 1 gallon = 4 quarts |
1 gallon = 128 fluid ounces | |
1 quart = 2 pints | |
1 pint = 2 cups | |
1 cup = 8 fluid ounces | |
MASS AND WEIGHT |
|
Metric |
Customary |
1 kilogram = 1000 grams | 1 ton = 2000 pounds |
1 gram = 1000 milligrams | 1 pound = 16 ounces |
TIME |
|
1 year = 365 days | |
1 year = 12 months | |
1 year = 52 weeks | |
1 week = 7 days | |
1 day = 24 hours | |
1 hour = 60 minutes | |
1 minute = 60 seconds |
Perimeter | rectangle | P = 2l + 2w or P = 2(l + w) | |
Circumference | circle | C = 2πr or C = πd | |
Area | rectangle | A = lw or A = bh | |
triangle | |||
trapezoid | |||
regular polygon | |||
circle | A = πr2 | ||
P represents the Perimeter of the Base of a three-dimensional figure. | |||
B represents the Area of the Base of a three-dimensional figure. | |||
Surface Area | cube (total) | S = 6s2 | |
prism (lateral) | S = Ph | ||
prism (total) | S = Ph + 2B | ||
pyramid (lateral) | |||
pyramid (total) | |||
cylinder (lateral) | S = 2πrh | ||
cylinder (total) | S = 2πrh + 2πr2 or S = 2πr(h + r) | ||
cone (lateral) | S = πrl | ||
cone (total) | S = πrl + πr2 or S = πr(l + r) | ||
sphere | S = 4πr2 | ||
Volume | prism or cylinder | ||
pyramid or cone | |||
sphere | |||
Special Right Triangles | 30°, 60°, 90° | ||
45°, 45°, 90° | |||
Pythagorean Theorem | a2 + b2 = c2 | ||
Distance Formula | |||
Slope of a Line | |||
Midpoint Formula | |||
Quadratic Formula | |||
Slope-Intercept Form of an Equation | y = mx + b | ||
Point-Slope Form of an Equation | y − y1 = m(x − x1) | ||
Standard Form of an Equation | Ax + By = C | ||
Simple Interest Formula | I = prt |