Opening
Chapter 1 Opening
Section 1.1
1.1.1
Visualizing Information
1.1.2
Histograms and Stem-and-Leaf Plots
1.1.3
Types of Data and Variables
Section 1.2
1.2.1
Choosing Mean or Median
1.2.2
Variance and Standard Deviation
1.2.3
Sample Variance and Sample Standard Deviation
1.2.4
Variance and Standard Deviation
Section 1.3
1.3.2
Percentiles
1.3.2
Z-Scores
1.3.3
Linear Transformations of Data
Opening
Chapter 2 Opening
Section 2.1
2.1.1
Scatterplots and Association
2.1.2
Line of Best Fit
2.1.3
Residuals
2.1.4
The Least Squares Regression Line
2.1.5
Using Technology to Find the LSRL
Section 2.2
2.2.1
The Correlation Coefficient
2.2.2
Behavior of Correlation and the LSRL
2.2.3
Residual Plots
2.2.4
Association is Not Causation
2.2.5
Interpreting Correlation in Context
Opening
Chapter 3 Opening
Section 3.1
3.1.1
Probability and Two-Way Frequency Tables
3.1.2
Association and Conditional Relative Frequency Tables
3.1.3
Probability Notation
3.1.4
Relative Frequency Tables and Conditional Probabilities
3.1.5
Analyzing False Positives
Section 3.2
3.2.1
Probability Tree Diagrams
3.2.2
Problem Solving with Categorical Data
Opening
Chapter 4 Opening
Section 4.1
4.1.1
Survey Design I
4.1.2
Samples and the Role of Randomness
4.1.3
Sampling When Random is Not Possible
4.1.4
Observational Studies and Experiments
4.1.5
Survey Design II (optional)
Section 4.2
4.2.1
Cause and Effect with Experiments
4.2.2
Experimental Design I
4.2.3
Experimental Design II
Opening
Chapter 5 Opening
Section 5.1
5.1.1
Relative Frequency Histograms and Random Variables
5.1.2
Introduction to Density Functions
5.1.3
The Normal Probability Density Function
Section 5.2
5.2.1
The Inverse Normal Function
5.2.2
The Standard Normal Distribution and z-Scores
5.2.3
Additional Practice Problems
Opening
Chapter 6 Opening
Section 6.1
6.1.1
Mean and Variance of a Discrete Random Variable
6.1.2
Linear Combinations of Independent Random Variables
6.1.3
Exploring the Variability of X – X
Section 6.2
6.2.1
Introducing the Binomial Setting
6.2.2
Binomial Probability Density Function
6.2.3
Exploring Binomial pdf and cdf
6.2.5
Normal Approximation to the Binomial Distribution
Section 6.3
6.3.1
Introduction to the Geometric Distribution
6.3.2
Binomial and Geometric Practice
Opening
Chapter 7 Opening
Section 7.1
7.1.1
Introduction to Sampling Distributions
7.1.2
Simulating Sampling Distributions of Sample Proportions
7.1.3
Formulas for the Sampling Distributions of Sample Proportions
Section 7.2
7.2.1
Confidence Interval for a Population Proportion
7.2.2
Confidence Levels for Confidence Intervals
7.2.3
Changing the Margin of Error in Confidence Intervals
7.2.4
Evaluating Claims with Confidence Intervals
Opening
Chapter 8 Opening
Section 8.1
8.1.1
Introduction to Hypothesis Testing
8.1.2
Hypothesis Tests for Proportions
8.1.3
Alternative Hypotheses and Two-Tailed Tests
Section 8.2
8.2.1
Types of Errors in Hypothesis Testing
8.2.2
Power of a Test
Section 8.3
8.3.1
The Difference Between Two Proportions
8.3.2
Two-Sample Proportion Hypothesis Tests
8.3.3
More Proportion Inference
Opening
Chapter 9 Opening
Section 9.1
9.1.1
Introduction to the Chi-Squared Distribution
9.1.2
Chi-Squared Goodness of Fit
9.1.3
More Applications of Chi-Squared Goodness of Fit
Section 9.2
9.2.1
Chi-Squared Test for Independence
9.2.2
Chi-Squared Test for Homogeneity of Proportions
9.2.3
Practicing and Recognizing Chi-Squared Inference Procedures
Opening
Chapter 10 Opening
Section 10.1
10.1.1
Quantitative Sampling Distributions
10.1.2
More Sampling Distributions
Section 10.2
10.2.1
The Central Limit Theorem
10.2.2
Using the Normal Distribution with Means
Section 10.3
10.3.1
Introducing the t-Distribution
10.3.2
Calculating Confidence Intervals for μ
10.3.3
z-Tests and t-Tests for Population Means
Opening
Chapter 11 Opening
Section 11.1
11.1.1
Paired and Independent Data from Surveys and Experiments
11.1.2
Paired Inference Procedures
11.1.3
Tests for the Difference of Two Means
Section 11.2
11.2.1
Inference in Different Situations
11.2.2
Identifying and Implementing an Appropriate Test
Opening
Chapter 12 Opening
Section 12.1
12.1.1
Sampling Distribution of the Slope of the Regression Line
12.1.2
Inference for the Slope of the Regression Line
Section 12.2
12.2.1
Transforming Data to Achieve Linearity
12.2.2
Using Logarithms to Achieve Linearity
Opening
Chapter 13 Opening
Section 13.1
13.1.1
Modeling With the Chi-Squared Distribution
13.1.2
Introducing the F-Distribution
Section 13.2
13.2.1
One-Way ANOVA
Section 13.3
13.3.1
Sign Test: Introduction to Nonparametric Inference
13.3.2
Mood’s Median Test
Lesson 1.0
What Will I Learn?
Lesson 1.1
Using BlueJ and Submitting Programs
Lesson 1.2
Objects, Comments, and Identifiers
Lesson 1.3
Identifiers and Reserved Words
Lesson 1.4
Identifiers and More Data Types
Lesson 1.5
Writing Methods
Lesson 1.6
The Constructor
Lesson 1.7
Java Mathematics
Lesson 1.8
Four 4s
Writing Class
Lesson 1.9.1
Time Conversions
Lesson 1.9.2
DollarsNcents
Lesson 2.1.1
Instantiating Objects
Lesson 2.1.2
Four 4s V2
Lesson 2.2
System.out
Lesson 2.3
Error Types
User Interface
Lesson 2.4.1
Scanner
Lesson 2.4.2
Box Object
Lesson 2.4.3
Converter
Lesson 2.5
Car Dealership
Lesson 3.1.1
Strings Methods
Lesson 3.1.2
Strings Indexes
Lesson 3.2
Rounding Numbers
Lesson 3.3
Random Numbers
Lesson 3.4
Aliases and References
Lesson 3.5
Binary, Hexadecimal Conversions
Lesson 4.1.1
Cascading if else
Lesson 4.1.2
Multiple && ||
Lesson 4.1.3
Truth Tables
The while Loop
Lesson 4.2.1
while Loop Math
Lesson 4.2.2
while Loop Strings
The for Loop
Lesson 4.3.1
Word Analysis
Lesson 4.3.2
Sentence Analysis
Lesson 4.4
Nested Loops
Lesson 4.5
Working with GUIs
Lesson 5.1
Arrays of Primitives
Array of Objects
Lesson 5.2.1
Library of Books
Lesson 5.2.2
Deck of Cards
Lesson 5.3
StuffMart Parking Lot
Lesson 6.1.1
Introduction to Two-Dimensional Arrays
Lesson 6.1.2
Matrix Objects
Two-Dimensional Arrays of Strings
Lesson 6.2.1
Seating Chart
Lesson 6.2.2
Flags R Fun
Lesson 7.1
ArrayLists of Objects
Lesson 7.2
ArrayLists of Wrapped Primitives
Lesson 7.3
Box of Chocolates
Lesson 7.4
Sorting Activity
Lesson 7.5
Sorting ArrayLists
Lesson 7.6
Sorting Arrays
Lesson 8.1
ArrayLists of Objects
Lesson 8.2
ArrayLists of Wrapped Primitives
Lesson 8.3
Box of Chocolates
Lesson 8.4
Sorting Activity
Lesson 8.5
Interfaces
Lesson 9.1
Recursive Methods
Lesson 9.2
Stack Overflow
Recursive Applications
Lesson 9.3.1
Merge Sort
Lesson 9.3.2
Binary Search
Lesson 10.1
Craps
Lesson 10.2
StuffMart Parking Lot V2
Lesson 10.3
Tic Tac Toe
Lesson 10.4
Recursive Rectangles
© 1989-2023 CPM EDUCATIONAL PROGRAM All rights reserved. CPM Educational Program is a 501(c)(3) educational nonprofit corporation.
0.1.1
Who are my classmates?
0.1.2
How do I work collaboratively?
0.1.3
What questions can I ask?
0.1.4
How can I categorize my words?
0.1.5
How can I communicate my ideas?
0.1.6
How can the team build this together?
0.1.7
What do we need to work togethe
1.1 Numbers and Data
1.1.1 How should data be placed on this line?
1.1.2 Where do these numbers belong on this line?
1.1.3 How can I use two lines to solve problems?
1.1.4 How can data be used to answer a question?
1.1.5 How are histograms helpful?
1.1.6 How else can data be displayed?
1.2 Shapes and Area,
1.2.1 How can I write equivalent expressions in area and perimeter?
1.2.2 What shapes make up the polygon?
1.2.3 How can I make it a rectangle?
1.3 Expressions
1.3.1 How can I describe it using symbols?
1.3.2 What are the parts of an expression?
1.3.3 How do I work with decimals?
1.3.4 How do I multiply multi-digit decimals?
1.3.5 How can I represent the arrangement?
2.1 Ratio Language
2.1.1 How can I compare two quantities?
2.1.2 How can I write ratios?
2.1.3 How can I see ratios in data representations?
2.2 Equivalent Ratios
2.2.1 How can I visualize ratios?
2.2.2 How can I see equivalent ratios in a table?
2.2.3 How can I see equivalent ratios in a double number line?
2.2.4 How can I see equivalent ratios in tape diagrams?
2.2.5 How can I use equivalent ratios?
2.2.6 What do these represent?
2.3 Measurement
2.3.1 What are the measurements?
2.3.2 What are the units?
2.3.3 How can I convert units
3.1 Measures of Center
3.1.1 How can I measure the center?
3.1.2 How else can I measure the center?
3.1.3 Which is the better measure of center?
3.1.4 What happens when I change the data?
3.2 Integers
3.2.1 What numbers do I see?
3.2.2 What number is this?
3.2.3 What does a number line say about a number?
3.2.4 How do I compare different types of numbers?
3.3 Absolute Value
3.3.1 How do I describe the location?
3.3.2 How far do I walk?
3.3.3 Which one is greater?
3.3.4 How do I communicate mathematically?
3.4 Coordinate Plane
3.4.1 How can you precisely indicate a location?
3.4.2 What is the correct order?
3.4.3bWhat symbol represents me?
4.1 Fractions, Decimals, and Percents
4.1.1 How can I tell if the ratios are equal?
4.1.2 What does “percent” mean?
4.1.3 How can I convert a fraction?
4.1.4 How can I convert a percent?
4.1.5 How can I convert a decimal?
5.1 Variation in Data
5.1.1 How do I ask a statistical question?
5.1.2 What does each representation say about the data?
5.1.3 What does the box in a box plot represent?
5.1.4 How else can I describe data?
5.2 Area
5.2.1 What is the height?
5.2.2 Can I reconfigure a parallelogram into a rectangle?
5.2.3 How do I calculate the area?
5.2.4 How many triangles do I need?
5.2.5 What is my perspective?
5.2.6 Is it fair to play by the rules?
5.2.7 What shapes do I see?
5.3 Fractions
5.3.1 How can I represent fraction multiplication?
5.3.2 How can I multiply fractions?
5.3.3 How can I multiply mixed numbers?
6.1 Rules of Operations
6.1.1 What does it mean?
6.1.2 What do mathematicians call this?
6.1.3 How much should I ask for?
6.1.4 How can I write mathematical expressions?
6.1.5 How do mathematicians abbreviate?
6.1.6 In what order should I evaluate?
6.2 Multiples and Factors
6.2.1 When will they be the same?
6.2.2 What are multiples?
6.2.3 What do they have in common?
6.2.4 Who is your secret valentine?
6.2.5 How can I understand products?
6.2.6 How can I rewrite expressions?
6.2.7 Which method do I use?
7.1 Whole Number and Decimal Division
7.1.1 How can I share equally?
7.1.2 Which strategy is the most efficient?
7.1.3 How can I write the number sentence?
7.1.4 How can I divide decimals?
7.1.5 How should the problem be arranged?
7.2 Fraction Division
7.2.1 What if the divisor is a fraction?
7.2.2 How many fit?
7.2.3 How can I visualize this?
7.2.4 What is common about this?
7.2.5 How can I use a Giant One?
7.2.6 Which method is most efficient?
8.1. Algebra Tiles
8.1.1 What do these shapes represent?
8.1.2 What does a group of tiles represent?
8.1.3 What is an equivalent expression?
8.1.4 Which terms can be combined?
8.1.5 What do the numbers mean?
8.1.6 What can a variable represent?
8.2 Expressions
8.2.1 How can I count it?
8.2.2 What if the size of the pool is unknown?
8.2.3 How can I use an algebraic expression?
8.3 Equations and Inequalities
8.3.1 Which values make the equation true?
8.3.2 How can patterns be represented?
8.3.3 What is the equation?
8.3.4 How many could there be?
1.1 Data and Graphs
1.1.1 How can I represent data?
1.1.2 How can I use data to solve a problem?
1.1.3 Is the roller coaster safe?
1.1.4 Is there a relationship?
1.1.5 What is the relationship?
| 8.1 | Introduction to Functions | |
| 8.1.1 | How can you (de)code the message? |
| 8.1.2 | How can a graph tell a story? |
| 8.1.3 | What can you predict? |
| 8.1.4 | Which prediction is best? |
| 8.1.5 | How does the output change based on the input? |
| 8.1.6 | How do you see the relationship? |
8.2 | Characteristics of Functions | |
| 8.2.1 | What is a function? |
| 8.2.2 | How can you describe the relationship? |
| 8.2.3 | How do I sketch it? |
| 8.2.4 | How many relationships are there? |
8.3 | Linear and Nonlinear Functions | |
| 8.3.1 | Is it linear or nonlinear? |
| 8.3.2 | What clues do ordered pairs reveal about a relationship? |
| 8.3.3 | What other functions might you encounter? |
| 9.1 | Volume | |
| 9.1.1 | Given the volume of a cube, how long is the side? |
| 9.1.2 | What if the base is not a polygon? |
| 9.1.3 | What if the layers are not the same? |
| 9.1.4 | What if it is oblique? |
| 9.1.5 | What if it is a three-dimensional circle? |
9.2 | Scientific Notation | |
| 9.2.1 | How can I write very large or very small numbers? |
| 9.2.2 | How do I compare very large numbers? |
| 9.2.3 | How do I multiply and divide numbers written in scientific notation? |
| 9.2.4 | How do I add and subtract numbers written in scientific notation? |
| 9.2.5 | How do I compute it? |
9.3 | Applications of Volume | |
| 9.3.1 | What does a volume function look like? |
| 9.3.2 | What is the biggest cone? |
| 9.3.3 | How do all the items fit together? |
| 10.1 | Explorations and Investigations | |
| 10.1.1 | How close can I get? |
| 10.1.2 | Can you make them all? |
| 10.1.3 | How many triangles will there be? |
| 10.1.4 | What’s my angle? |
| 10.1.5 | Function-function, what’s your function? |
| 10.1.6 | Is it always true? |
| 10.1.7 | What’s right? |
| 10.1.8 | What’s your story? |
This professional learning is designed for teachers as they begin their implementation of CPM. This series contains multiple components and is grounded in multiple active experiences delivered over the first year. This learning experience will encourage teachers to adjust their instructional practices, expand their content knowledge, and challenge their beliefs about teaching and learning. Teachers and leaders will gain first-hand experience with CPM with emphasis on what they will be teaching. Throughout this series educators will experience the mathematics, consider instructional practices, and learn about the classroom environment necessary for a successful implementation of CPM curriculum resources.
Page 2 of the Professional Learning Progression (PDF) describes all of the components of this learning event and the additional support available. Teachers new to a course, but have previously attended Foundations for Implementation, can choose to engage in the course Content Modules in the Professional Learning Portal rather than attending the entire series of learning events again.
