Measurement & Beginning Geometry

Shelby Ferreira

US System

Metric System

Measurement Systems

Mass

US System:Ounce1 Pound = 16 oz1 Ton = 2000 lb

Metric System: 1 Milligram =1/1000 g1 Centigram = 1/100 gGram 1 Kilogram = 1000 g

Liquid Capacity

US System:Fluid ounce1 Cup = 8 fl oz1 Pint = 2 cups1 Quart = 2 pints1 Gallon = 4 quarts

Metric System:1 Milliliter = 1/1000 L1 Centiliter =1/100 LLiter1 Kiloliter 1000 L

Length

Metric System:1 millimeter 1/1000 m1 centimeter 1/100 mMeter1 kilometer 1000 m

US System:Inch 1 Foot = 12 in1 Yard = 3 ft1 Mile = 5280 ft, 1760 yd

Measurement Conversion

Create a proportion!

Ex: How many cups are in 5 pints?

Ex: How many ounces in 1 ton?

Ex: How many yards in 6 miles?

Formulas

Statements of rules connecting variables

There are formulas for all geometric measures

To solve a problem using a formula:1. Plug in the known values for each variable

2. Solve for the unknown variable

Geometric Measures

Perimeter (1-dimensional)

Circumference (1-dimensional, only for circles)

Area (2-dimensional)

Volume (3-dimensional)

Parallelograms

Squares, rectangles, other 4-sided figures with equal lengths and equal heights

Area = base x height [measured in units2]

Perimeter= base + height + base + height (or 2b + 2h)

Example: b=5, h=10. Find area & perimeter

Triangles

3-sided figures

Area= ½b x h [measured in units squared]

Perimeter= length of side a + length of side b + length of side c

Example: b=5, h=10. Find area & perimeter

Circles

Area= π r2

(r = radius = ½ the diameter of a circle)

Circumference= 2 π r

Example: d=6. Find

Circumference

Trapezoids

Area= ½ h (a+b)

Example: h=5, a=2, b=6. Find the area

Volume

Volume rectangular prism= lwh

Volume pyramid= (1/3)(area of base)(h)

Volume sphere= (4/3) π r3