Chapter 1: Exploring Data
1-1: Tables and Graphs
*Use samples to make inferences about populations.
*Determine relationships and interpret data presented in a table.
*Read and interpret bar graphs, circle graphs, and coordinate graphs.
*Draw graphs to display data.
pp. 10-12 (1-20)
1-2: Stemplots and Dotplots
*Calculate measures of center and spread for data sets.
*Use statistics to describe data sets and to compare or contrast data sets.
*Read and interpret dot plots.
*Draw graphs to display data.
pp. 16-18 (1-18)
1-3: Measures of Center
*Calculate measures of center for data sets.
*Use Sigma notation to represent a sum or mean.
*Compare measures of center.
*Use statistics to describe data sets and to compare or contrast data sets.
pp. 25-27 (1-21)
1-4: Quartiles, Percentiles, and Box Plots
*Calculate measures of center and spread for data sets.
*Use statistics to describe data sets and to compare or contrast data sets.
*Read and interpret box plots.
*Draw graphs to display data.
pp. 34-36 (1-17)
1-5: Histograms
*Read and interpret histograms.
*Draw graphs to display data.
pp. 43-44 (1-17)
1-6: Choosing a Good Display
*Read and interpret bar graphs, circle graphs, and coordinate graphs.
*Draw graphs to display data.
pp. 50-52 (1-16)
1-7: Variance and Standard Deviation
*Calculate measures of center and spread for data sets.
*Use Sigma notation to represent variance or standard deviation.
*Describe relations between measures of center and spread.
*Use statistics to describe data sets and to compare or contrast data sets.
pp. 58-60 (1-18)
The following are videos which will help you with concepts discussed in Chapter 1:
Chapter 3: Transformations of Graphs and Data
3-1: Changing Windows
*Recognize and graph parent functions.
pp. 164-165 (1-14)
3-2: The Graph-Translation Theorem
*Use the Graph-Translation Theorem to find translation images.
*Describe the effects of translations on functions and their graphs.
*Apply the Graph-Translation Theorem to make or identify graphs.
pp. 170-172 (1-18)
3-3: Translations of Data
*Describe the effects of translations on measures of center or spread.
*Use translations to analyze data.
pp. 176-177 (1-12)
3-4: Symmetries of Graphs
*Describe the symmetries of graphs.
*From a graph of a function, determine its symmetries.
pp. 183-184 (1-16)
3-5: The Graph Scale-Change Theorem
*Use the Graph Scale-Change Theorem to find transformation images.
*Describe the effects of scale changes on functions and their graphs.
*Apply the Graph Scale-Change Theorem to make or identify graphs.
pp. 191-193 (1-16)
3-6: Scale Changes of Data
*Describe the effects of scale changes on measures of center or spread.
*Use scale changes to analyze data.
pp. 198-199 (1-12)
3-7: Composition of Functions
*Find formulas and values of composites of functions.
*Identify properties of composites.
pp. 205-207 (1-17)
3-8: Inverse Functions
*Find inverses of functions.
*Identify properties of inverses.
*From a graph of a function, determine whether its inverse is a function.
*Graph inverses of functions.
pp. 212-213 (1-19)
3-9: z-scores
*Identify properties of z-scores.
*Use z-scores to analyze data.
pp. 217-219 (1-19)
The following are videos which will help you with concepts discussed in Chapter 3:
Chapter 7: Probability and Simulation
7-1: Basic Principles of Probability
*List sample spaces and events for probabilistic experiments.
*Compute probabilities.
*State and use properties of probabilities.
*Calculate probabilities in real situations.
pp. 431-432 (1-19)
7-2: Addition Counting Principles
*Compute probabilities.
*State and use properties of probabilities.
*Determine whether events are mutually exclusive, independent, or complementary.
*Calculate probabilities in real situations.
pp. 437-439 (1-19)
7-3: Multiplication Counting Principles
*Compute probabilities.
*Find the number of ways of selecting or arranging objects.
*Evaluate expressions using factorials.
*Use counting principles and theorems to find the number of ways of arranging objects.
pp. 443-444 (1-16)
7-4: Permutations
*Find the number of ways of arranging objects.
*Evaluate expressions using factorials.
*Solve equations using factorials.
*Use counting principles and theorems to find the number of ways of arranging objects.
pp. 447-448 (1-16)
7-5: Independent Events
*State and use properties of probabilities.
*Determine whether events are mutually exclusive, independent, or complementary.
*Calculate probabilities in real situations.
pp. 454-455 (1-13)
7-6: Probability Distributions
*Construct, graph, and interpret probability distributions.
pp. 461-462 (1-15)
7-7: Designing Simulations
*Design and conduct simulations without technology.
pp. 68-469 (1-10)
7-8: Simulations with Technology
*Design and conduct simulations with technology.
Assorted problems
The following are videos which will help you with concepts discussed in Chapter 7:
Chapter 8: Sequences, Series, and Combinations
8-1: Formulas for Sequences
*Find terms of sequences from explicit or recursive formulas.
*Find explicit or recursive formulas for the nth term of an arithmetic or geometric sequence.
*Determine whether a sequence is arithmetic or geometric.
*Solve problems involving arithmetic and geometric sequences.
pp. 493-494 (1-19)
8-2: Limits of Sequences
*Determine limits of certain sequences.
pp. 500-501 (1-17)
8-3: Arithmetic Series
*Evaluate arithmetic series.
*Solve problems involving arithmetic series.
pp. 507-508 (1-16)
8-4: Geometric Series
*Evaluate geometric series.
*Solve problems involving geometric series.
pp. 512-514 (1-17)
8-5: Infinite Series
*Tell whether an infinite series converges. If it does, give the limit.
*Solve problems involving infinite geometric series.
pp. 520-521 (1-16)
8-6: Combinations
*Use combinations to compute the number of ways of selecting objects.
pp. 526-527 (1-20)
8-7: Pascal's Triangle
*Prove and apply properties involving combinations.
*Locate numerical properties represented by the patterns in Pascal's Triangle.
pp. 532-533 (1-14)
8-8: The Binomial Theorem
*Expand binomials.
pp. 537-538 (1-18)
8-9: Binomial Probabilities
*Determine probabilities in situations involving binomial experiments.
pp. 543-544 (1-16)
The following are videos which will help you with concepts discussed in Chapter 8:
Chapter 10: Binomial and Normal Distributions
10-1: Binomial Probability Distributions
*Compare and contrast characteristics of different binomial probability distribution graphs.
*Solve probability problems using binomial distributions.
*Graph and interpret a binomial probability distribution.
pp. 631-632 (1-10)
10-2: Mean and Standard Deviation of a Binomial Distribution
*Calculate the mean and standard deviation of a binomial probability distribution.
*Solve probability problems using binomial distributions.
pp. 638-639 (1-12)
10-3: Is That Coin Fair?
*Use binomial distributions to test hypotheses.
pp. 645-646 (1-9)
10-4: Normal Curves
*Use properties of normal distributions and their parent function.
pp. 652-653 (1-16)
10-5: Find Probabilities Using the Standard Normal Distribution
*Use the Standard Normal Distribution to find probabilities.
*Use properties of normal distributions and their parent function.
*Graph and interpret normal distributions.
pp. 659-660 (1-16)
10-6: Other Normal Distributions
*Use properties of normal distributions and their parent function.
*Solve probability problems using normal distributions.
*Graph and interpret normal distributions.
pp. 667-668 (1-15)
10-7: Sampling Distributions and the Central Limit Theorem
*Use binomial and normal distributions to test hypotheses.
*Apply the Central Limit Theorem.
pp. 676-678 (1-19)
10-8: Confidence and Cautions in Statistical Reasoning
*Apply confidence intervals to real-world problems.
pp. 683-684 (1-11)
The following are videos which will help you with concepts discussed in Chapter 10: