Math in Physics Math skills are essential to physics. Equations are an essential part and serve as ways to model observations and make predictions. Numerical data is often used to support conclusions. Math Handbook: in your text at the back

Units, Units, Units… System International d’Unites (SI) or the adapted version known as the metric system is used in science. 7 base units (from direct measurement) Additional units are derived from the seven base units (combinations of base units) Example: mass and volume can be measured directly using a balance and graduated cylinder. Density however is a derived unit obtained from the relationship between mass and volume D=m/v

SI Base Units Base Quantity Unit of measure abbreviation Time Second Mass Kilogram kg Length Meter m Temperature Kelvin K Amount of substance Mole mol Electric current Ampere A Luminous intensity Candela cd (chart courtesy of Glencoe Physics: Principles and Problems, Zitzewitz, et. al. 2005, McGraw-Hill, New York)

Prefixes Used with SI units Prefixes Used with SI units.. (chart courtesy of Glencoe Physics: Principles and Problems, Zitzewitz, et. al. 2005, McGraw-Hill, New York) Prefix Symbol Multiplier Scientific Notation example femto- f 0.000000000000001 10-15 femtosecond pico- p 0.000000000001 10-12 picometer nano- n 0.000000001 10-9 nanometer micro- μ 0.000001 10-6 microgram milli- m 0.001 10-3 milliamps centi- c 0.01 10-2 centimeter deci- d 0.1 10-1 deciliter kilo- k 1000 103 kilometer mega- M 1000000 106 megagram giga- G 1000000000 109 gigameter tera- T 1000000000000 1012 terahertz

Conversions and Conversion Factors Using dimensional analysis allows you to treat units as algebraic quantities which can be cancelled. Steps: Write out given quantity. Decide what units the final answer needs. Choose a conversion factor that allows you to cancel the units given using multiplication and/or division and leave units desired for final answer.

Try it….. Convert 5021 centimeters to kilometers? How many seconds are in a leap year? Convert the speed 5.30 m/s to km/hr. Work first problem on board. Have students work generate equivalents for each.

Scientific Notation Used to express large numbers Makes working with large numbers easier To convert a number to scientific notation Move decimal so that there is one non-zero digit to the left of the decimal Ex. 3000000 3.000000 then add x10 and the exponent that represents how many spaces that the decimal was moved 3.000000 x 106

To convert a number from scientific notation to regular notation Move the decimal left (for a negative exponent) and right (for a positive exponent) the number of spaces as indicated by the exponent Example: 2.36 x 10-3 would be 0.00236 2.25 x 102 would be 225

Collecting Data, Making Measurements Accuracy Precision Technique Variables

Creating Graphs for Representing data Linear Non-linear Inverse relationships Drawing activity for geometric figure.