1. Measurement & Beginning Geometry Shelby Ferreira

2. US System Metric System Measurement Systems

3. Mass US System: Ounce 1 Pound = 16 oz 1 Ton = 2000 lb Metric System: 1 Milligram =1/1000 g 1 Centigram = 1/100 g Gram 1 Kilogram = 1000 g

4. Liquid Capacity US System: Fluid ounce 1 Cup = 8 fl oz 1 Pint = 2 cups 1 Quart = 2 pints 1 Gallon = 4 quarts Metric System: 1 Milliliter = 1/1000 L 1 Centiliter =1/100 L Liter 1 Kiloliter 1000 L

5. Length Metric System: 1 millimeter 1/1000 m 1 centimeter 1/100 m Meter 1 kilometer 1000 m US System: Inch 1 Foot = 12 in 1 Yard = 3 ft 1 Mile = 5280 ft, 1760 yd

6. 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?

7. 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

8. Geometric Measures Perimeter (1-dimensional) Circumference (1-dimensional, only for circles) Area (2-dimensional) Volume (3-dimensional)

9. Parallelograms Squares, rectangles, other 4-sided figures with equal lengths and equal heights Area = base x height [measured in units 2 ] Perimeter= base + height + base + height (or 2b + 2h) Example: b=5, h=10. Find area & perimeter

10. 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

11. Circles Area= π r 2 (r = radius = ½ the diameter of a circle) Circumference= 2 π r Example: d=6. Find Circumference

12. Trapezoids Area= ½ h (a+b) Example: h=5, a=2, b=6. Find the area

13. Volume Volume rectangular prism= lwh Volume pyramid= (1/3)(area of base)(h) Volume sphere= (4/3) π r 3