Unit 0: In this unit we discussed patterns, more particular to graph models, and conversions. We also looked at scientific notation and experimental uncertainty. Notes from the Unit: https://drive.google.com/drive/u/0/folders/1IuZNCRh2YYSI6uX7gZbYK_rv_FbmDw67
Scientific Notation:
Scientific Notation:
- This is the process of making a number, that either very big or very small, more manageable for calculations.
- The number is changed by manipulating the decimal point.
- On the calculator it shows E for scientific notation calculations. This E stands for x10^x.
- Never write down E in your work.
Unit Conversions:
- The method of going from one unit to another through a multiplication process.
- Always remember to include the units in your calculation to check if everything cancels out properly.
Interpret Linear Mathematical models:
- The equation for a linear function is Y= mx + b.
- The slope is m and literally represents the rise over run but in labs this will not be a real life interperation.
- The slope represents how much a dependent variable changed.
- The b represents the Y intercept. The mathematical meaning of this is the value of y when x equals 0.
- The real life meaning of b is the dependent variables value when the independent variable equals 0.
Interpret Inverse and Quadratic Mathematical Models:
Represent a set of Data on a graph:
- Inverse function is when the y value ( the dependent variable) is decreasing at a faster rate than the x value (the independent variable).
- The slope of an inverse will get smaller as time progresses.
- Inverse functions will always have a negative slope/Quadratic functions are more diverse. They can be both positive and negative as well as concave.
- A Quadratic function must have an inconsistent slope that is recognizable when seen.
Represent a set of Data on a graph:
- Slope: the rate of change
- Y intercept: the value of the dependent variable when x equals 0
- Point: the value on a graph when in correlation to a specific dependent variable value and independent variable value.
- Models: The first step in physics is to create a model and that is to avoid some uncertainties the real world will have through models we can represent things as points. We can use this system and create predictions.
Design Experiments and Understand Uncertainty:
- Design
- Find the problem and then find what variable you will be testing to see the effects on and what will you change to see these effects. These will be your independent and dependent variables
- After this find out what will be your controlled variables so that when you analyze your data, you know that the changes were due to you changing the independent variable not because of certain inconsistent variables
- Find the problem and then find what variable you will be testing to see the effects on and what will you change to see these effects. These will be your independent and dependent variables
- Determining confidence
- Lots of Data Points (5-10)
- Large range of Data
- multiple trials (3-5)
- Lots of Data Points (5-10)
- Sources of Uncertainty
- Equipment
- reaction time
- Parallax shift
- Equipment