Relations and Functions
47 min 24 Examples
- Introduction to Video: Relations and Functions
- What is a Relation? What is a Function with Examples #1-3
- Examples #4-6: Determine the domain, range and whether the relation is a function
- Understanding the Vertical Line Test with Examples #7-14
- Function Notation with Examples #15-17
- Examples #18-24: Evaluate each function
Set Notation
47 min 18 Examples
- Introduction to Video: Set Notation
- Overview of Set Notation and finding Domain and Range with Examples #1-3
- Examples #4-15: Given the graph write the domain and range using set-builder notation
Linear Function
37 min 11 Examples
- Introduction to Video: Linear Functions
- What is a linear function? and Examples #1-6: Graph the linear function
- Examples #7-9: Find the linear function
- Example #10: Use linear functions to solve the word problem
- Example #11: Use the linear function d=rt to solve the word problem
Central Tendency
1 hr 17 min 14 Examples
- Introduction to Video: Central Tendency
- What is Central Tendency? Mean? Median? Mode? Range? Percentiles? Quartiles?
- Examples #1-3: Find the mean, median, mode and range for the sample data
- Frequency Distribution and Line Plots with Examples #5-6
- Stem and Leaf Plots with Examples #7-8
- Box and Whisker Plots with Example
- Example #9: Find mean, median, mode, range and create Frequency Distribution, Line Plot, Stem and Leaf and Box and Whisker plots for the sample data
- Finding Percentiles with Examples #10-12
- Mean Absolute Deviation with Example #13
- Example #14: Find the Mean Absolute Deviation for the sample data
Empirical Rule
43 min 5 Examples
- Introduction to Video: Normal Distributions – Empirical Rule
- Variance and Standard Deviation Formulas with Example #1
- Example #2: Find the Variance and Standard Deviation for the set of data
- Normal Distributions and the Empirical Rule
- Example #3: Given the mean and standard deviation use Empirical Rule to determine probable weight
- Example #4: Given the mean and standard deviation use Empirical Rule to determine likely test score
- Example #5: Given the mean and standard deviation use Empirical Rule to determine probability
Z Score
1 hr 9 min 9 Examples
- Introduction to Video: Z-Scores
- Overview of Standard Normal Distribution and the Z-Scores formula
- Examples #1-3: Find the z-score
- Examples #4-5: Use z scores to find ACT scores and cholesterol level
- Example #6: Use z scores to determine production for a company
- Overview of Probability and Z Distributions and Tables
- Examples #7-8: Find the percentage of students scoring in a range on the SAT
- Example #9: Find the probability of running a race in a specified time
Line of Best Fit
43 min 9 Examples
- Introduction to Video: Line of Best Fit
- Understanding Correlation and Scatter Plots
- Examples #1-6: Determine the correlation and relationship for each scatter plot
- How to find the Line of Best Fit? What are residuals
- Examples #7-8: Find the line of best fit for each data set
- Example #9: Find the regression line and use it to approximate values
Permutations and Combinations
55 min 15 Examples
- Introduction to Video: Permutations and Combinations
- Fundamental Counting Principle with Examples #1-2
- What are Permutations and Combinations and Factorials?
- Examples #3-4: use permutations with repetition
- Examples #5-10: use permutations without repetition
- Examples #11-13: use combinations without repetition
- Examples #14-15: use either permutations or combinations
Probability
1 hr 27 min 17 Examples
- Introduction to Video: Intro to Probability
- Venn Diagrams and Notation for intersection, union and complement with Example #1
- Finding Probability of an Event with Examples #2-3
- Overview of Mutually Exclusive, Dependent, and Independent Events and Conditional Probability
- Examples #4-6: Classify as independent or dependent events
- Examples #7-8: Find the probability of the independent events
- Examples #9-11: Are the events mutually exclusive?
- Examples #12-13: Find the probability of the mutually exclusive events.
- Example #14: Find the conditional probability using a Venn Diagram
- Example #15: Find the conditional probability by first creating a Venn Diagram
- Example #16: Find the conditional probability by creating a tree diagram
- Example #17: Find the conditional probability using a table
Chapter Test
2 hr 10 min 40 Examples
- For #1-6: Find the domain and range and determine if it is a function
- For #7-8: Evaluate the function
- For #9-10: Find the equation for the linear function
- For #11-14: Determine the type of correlation and relationship for each scatter-plot
- For #15-16: Determine the line of best fit
- For #17-22: Find the mean, median, mode, range, and create a frequency diagram, stem-and-leaf and line plot
- For #23-26: Create a Box-and-Whisker plot and find the M.A.D., variance and standard deviation
- For #27-28: Create a normal distribution curve and find probability using the Empirical Rule
- For #29-30: Find z-scores and probability using standard normal distributions
- For #31-36: Use Permutations, Combinations or the Fundamental Counting Principle
- For #37: Find the probability of a dart landing on a dartboard
- For #38: Create a tree diagram to find conditional probability
- For #39: Find the probability and conditional probability of mutually exclusive events
- For #40: Create a Venn diagram to find probability
