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Unit I: Introduction to Math and Measurement

Unit I: Introduction to Math and Measurement. Use Current Lessons on student information page and access Introduction to Math and Measurement to supplement this outline’s notes. Reference: www.physicsphenomena.com. Topic List. 1. Measurement: The Metric System

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Unit I: Introduction to Math and Measurement

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  1. Unit I: Introduction to Math and Measurement Use Current Lessons on student information page and access Introduction to Math and Measurement to supplement this outline’s notes. Reference: www.physicsphenomena.com

  2. Topic List 1. Measurement: The Metric System 2. Working with Large & Small Measurements: Significant Digits 3. Handling Measurements in Calculations 4. Displaying & Processing Data

  3. 1. Measurement • A. Metric System • B. Fundamental Units of Measure • C. Derived Units of Measure • D. Working with Metric Measurements • Rule for Adding and Subtracting measurements

  4. 1. Measurement cont’d • Rule for Adding and Subtracting measurements: The units must be the same when adding or subtracting. • Rule for Multiplying and Dividing measurements: The units must be kept unless they actually “cancel out”. • Rule for other operations: Same as for multiplication and division

  5. Addition Subtraction Multiplication Division Other 3 cm + 5 cm = 8 cm 9 m - 4 m = 5 m 2 m X 4 m = 8 m^2 42 m / 6 s =6 m/s (7 cm)^2 = 49 cm^2 Examples:

  6. 2. Working with Large and Small measurements Scientific Notation: (where n is a number) The very small, n < 1, but n > 0 The power of ten < 0 or negative example 1 x 10^-1 = 1 / 10 and 0.0762 = 7.62 x 10^-2 The very large, n > 1, but n < infinity The power of ten > 1 or positive example 1 x 10^1 = 10 and 1,440 = 1.44 x 10^3

  7. 3. Displaying and Processing Data • Data Charts: See graphing references in Chapter 2 and the PS#2- series in WB. • Qualitative Observations and Quantitative Observations: See Intro to physics and Dictionary.com • Accuracy and Precision: See Chapter 2 and PS#1-9 in the WB.

  8. 3.(Continued) Handling Measurements in Calculations. • The Use of Significant Digits: This is based on the precision of the measuring tool being used. • The Rules of Zeros: See PS#1-9 in WB. • Significant Digits in Calculations: See PS#1-11 and 1-12 in WB. • It includes: • The Rules for Addition and Subtraction • The Rules for Multiplication and Division

  9. 4. Graphing: Displaying Data There are many types of graphs. Typically the most common are described as one of three categories. They are: 1. The straight line representing direct variation between the x-y variables. 2. The hyperbola representing inverse variation between the x-y variables. 3. The parabola representing the direct variation between the y variable and the square of the x variable.

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