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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