Unit 0 is about some basic knowledge of math that will be used in the future during the class. It includes scientific notation, unit conversions, interpreting linear mathematical models, interpreting non-linear models, representing data with a model, and experimental uncertainty.
Unit 0 Edpuzzle Notes
0.01A - Scientific notation exponent goes up <----(move left) · (move right)----> exponent goes down
0.01A - Scientific notation exponent goes up <----(move left) · (move right)----> exponent goes down
- Equation: C * 10^n (C is between 0 and 10)
- eg. 25,300,000,000,000
- Count from the 0 on the right to 5, there are 13 digits. Therefore, the scientific notation of this number is 2.53 * 10^13.
- Video: Scientific Notation
- eg. 25,300,000,000,000
- Converting Units with Conversion Factors
- Converting Units using Multiple Conversion Factors
- Multiple Conversion Factors (Part 2)
- Linear Model: y=mx+b
- m is the slope, which is the rate of change.
- m= (change in y) / (change in x) = (y2 − y1) / (x2 − x1)
- y-intercept=b
- The unit of slope is the y-axis unit divided by the x-axis unit.
- Meaning of the slope: What is the rate that DV (Dependent Variable) changes per unit IV (Independent Variable)?
- Meaning of Y-intercept: What was the DV when the IV was 0?
- Individual Point = (x,y)
- The independent variable is x. y is the dependent variable.
- Inverse Models
- An inverse correlation, also known as negative correlation, is a contrary relationship between two variables such that they move in opposite directions.
- Quadratic Models
- The slope of quadratic Models changes every time as the IV changes, which is an inconstant rate of change. It can go both negative and positive direction.
- Equation: y = ax^2 + bx + c with a ≠ 0
- Slope is the constant rate of change.
- Y-intercept: the value of the dependent variable when the independent variable is 0.
- Individual points: the set of the number that represent both DV and IV. The value of the DV changes as the IV changes.
- The graph of the date can be used to be analyze or make predication of the future values.
- The uncertainty is the experimenter's best estimate of how far an experimental quantity might be from the "true value."
- Experimental uncertainties should be rounded to one significant figure.
- Wrong: 45.6 cm ± 3.2 cm
Correct: 46 cm ± 3 cm
- Wrong: 45.6 cm ± 3.2 cm
- Always round the experimental measurement or result to the same decimal place as the uncertainty.
- Wrong: 2.347 s ± 0.1 s
Correct: 2.3 s ± 0.1 s
- Wrong: 2.347 s ± 0.1 s
- Estimating the uncertainty in a single measurement requires judgement on the part of the experimenter.
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