Chapter 1
1.1 Numbers and Data
1.2 Shapes and Area
1.3 Expressions
Chapter 2
2.1 Ratio Language
2.2 Equivalent Ratios
2.3 Measurement
Chapter 3
3.1 Measures of Center
3.2 Integers
3.3 Absolute Value
3.4 Coordinate Plane
Chapter 4
4.1 Fractions, Decimals, and Percents
4.2 Percents
4.3 Unit Rates in Tables and Graphs
Chapter 5
5.1 Variation in Data
5.2 Area
Chapter 6
6.1 Rules of Operations
6.2 Multiples and Factors
Chapter 7
7.1 Whole Number and Decimal Division
7.2 Fraction Division
Chapter 8
8.1. Algebra Tiles
8.2 Expressions
8.3 Equations and Inequalities
Chapter 9
9.1 Equations and Inequalities Continued
9.2 Rate Problems
Chapter 10
10.1 Two Dimensions
10.2 Three Dimensions
Chapter 11
Chapter 1: Functions
Chapter 2: Linear Relationships
Chapter 3: Simplifying and Solving
Chapter 4: Systems of Equations
Chapter 5: Sequences
Chapter 6: Modeling Two-Variable Data
Chapter 7: Exponential Functions
Chapter 8: Quadratic Functions
Chapter 9: Solving Quadratics and Inequalities
Chapter 10: Solving Complex Equations
Chapter 11: Functions and Data
Appendix Representing Expressions
Chapter 1: Shaptes and Transformations
Chapter 2: Angles and Measurememt
Chapter 3: Justification and Similarity
Chapter 4: Trigonometry and Probability
Chapter 5: Completing the Triangle Toolkit
Chapter 6: Congruent Triangles
Chapter 7: Proof and Quadrilaterals
Chapter 8: Polygons and Circles
Chapter 9: Solids and Constructions
Chapter 10: Circles and Conditional Probability
Chapter 1:Investigations and Functions
Chapter 2: Transformations of Parent Graphs
Chapter 3: Equivalent Forms
Chapter 4: Solving and Intersections
Chapter 5: Inverses and Logarithms
Chapter 6: 3-D Graphing and Logarithms
Chapter 7: Trigonometric Functions
Chapter 8: Polynomials
Chapter 9: Randomization and Normal Distributions
Chapter 10: Series
Chapter 11: Simulating Sampling Variability
Appendix A Sequences
Appendix B Exponential Functions
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
8.1. Algebra Tiles
8.2 Expressions
8.3 Equations and Inequalities
Chapter 9
9.1 Equations and Inequalities Continued
9.2 Rate Problems
Chapter 10
10.1 Two Dimensions
10.2 Three Dimensions
Chapter 11
Chapter 1: Functions
Chapter 2: Linear Functions
Chapter 3: Transformations and Solving
Chapter 4: Modeling Two-Variable Data
Chapter 5: Sequences
Chapter 6: Systems of Equations
Chapter 7: Congruence and Coordinate Geometry
Chapter 8: Exponential Functions
Chapter 9: Inequalities
Chapter 10: Functions and Data
Chapter 11: Constructions and Closure
Appendix Solving Equations
Chapter 1: Exploring Algebraic and Geometric Relationships
Chapter 2: Justification and Similarity
Chapter 3: Probability and Trigonometry
Chapter 4: Factoring and More Trigonometry
Chapter 5: Quadratic Functions
Chapter 6: More Right Triangles
Chapter 7: Proof and Conditional Probability
Chapter 8: Polygons and Circles
Chapter 9: Modeling with Functions
Chapter 10: Circles and More
Chapter 11: Solids
Chapter 12: Counting and Closure
Chapter 1: Investigations and Functions
Chapter 2: Transformations of Parent Graphs
Chapter 3: Solving and Inequalities
Chapter 4: Normal Distributions and Geometric Modeling
Chapter 5: Inverses and Logarithms
Chapter 6: Simulating Sampling Variability
Chapter 7: Logarithms and Triangles
Chapter 8: Polynomials
Chapter 9: Trigonometric Functions
Chapter 10: Series
Chapter 11: Rational Expressions and Three-Variable Systems
Chapter 12: Analytic Trigonometry
Chapter 1
1.1 Numbers and Data
1.2 Shapes and Area
1.3 Expressions
Chapter 2
2.1 Ratio Language
2.2 Equivalent Ratios
2.3 Measurement
Chapter 3
3.1 Measures of Center
3.2 Integers
3.3 Absolute Value
3.4 Coordinate Plane
Chapter 4
4.1 Fractions, Decimals, and Percents
4.2 Percents
4.3 Unit Rates in Tables and Graphs
Chapter 5
5.1 Variation in Data
5.2 Area
Chapter 6
6.1 Rules of Operations
6.2 Multiples and Factors
Chapter 7
7.1 Whole Number and Decimal Division
7.2 Fraction Division
Chapter 8
8.1. Algebra Tiles
8.2 Expressions
8.3 Equations and Inequalities
Chapter 9
9.1 Equations and Inequalities Continued
9.2 Rate Problems
Chapter 10
10.1 Two Dimensions
10.2 Three Dimensions
Chapter 11
Prelude
Chapter 1
1.1 Numbers and Data≈
1.2 Shapes and Area
1.3 Expressions
Chapter 2
2.1 Ratio Language
2.2 Equivalent Ratios
2.3 Measurement
Chapter 3
3.1 Measures of Center
3.2 Integers
3.3 Absolute Value
3.4 Coordinate Plane
Chapter 4
4.1 Fractions, Decimals, and Percents
4.2 Percents
4.3 Unit Rates in Tables and Graphs
Chapter 5
5.1 Variation in Data
5.2 Area
Chapter 6
6.1 Rules of Operations
6.2 Multiples and Factors
Chapter 7
7.1 Whole Number and Decimal Division
7.2 Fraction Division
Chapter 8
8.1. Algebra Tiles
8.2 Expressions
8.3 Equations and Inequalities
Chapter 9
9.1 Equations and Inequalities Continued
9.2 Rate Problems
Chapter 10
10.1 Two Dimensions
10.2 Three Dimensions
Chapter 11
11.1 Ratios and Proportions
11.2 The Number System
11.3 Expressions and Equations
Prelude
Chapter 1
1.1 Proportions and Proportional Relationships
1.2 Integer Operations
1.3 Proportions and Graphs
Chapter 2
2.1 Fraction and Decimal Conversions
2.2 Probability
2.3 Scale Drawings
2.4 Cross Sections
Chapter 3
3.1 Proportional Relationships
3.2 Data and Statistics: Using Samples to Make Predictions
Chapter 4
4.1 Multiple Representations of Proportional Relationships
4.2 Circumference and Area of a Circle
Chapter 5
5.1 Probability
5.2 Integer Operations Continuted
Chapter 6
6.1 Data Distributions
6.2 Numerical and Algebraic Expressions
6.3 Equivalent Expressions
Chapter 7
7.1 Operations With Rational Numbers
7.2 Percent Change
7.3 Percents in the Real World
Chapter 8
8.1 Multiplication and Division of Rational Numbers
8.2 Working With Expressions
8.3 Writing and Solving Equations and Inequalities
Chapter 9
9.1 Angle Relationships
9.2 Triangle Creation
9.3 Volume and Surface Area
Chapter 10
10.1: Explorations and Investigations
10.2: Restaurant Math
Prelude
Chapter 1
1.1 Data and Graphs
1.2 Introduction to Transformations
1.3 Linear Relationships
Chapter 2
2.1 Rigid Transformations
2.2 Similarity
2.3 Graphing Systems of Equations
Chapter 3
3.1 Trend Lines
3.2 Solving Equations with Algebra Tiles
3.3 Graphing Linear Equations
Chapter 4
4.1 Exponents, Part 1
4.2 Solving Equations
4.3 Exponents, Part 2
Chapter 5
5.1 Representations of a Line
5.2 Graphs & Equations of Systems
Chapter 6
6.1 Solving Systems Algebraically
6.2 Slope & Rate of Change
6.3 Associations
Chapter 7
7.1 Angles
7.2 Right Triangle Theorem
Chapter 8
8.1 Introduction to Functions
‘8.2 Characteristics of Functions
8.3 Linear and Nonlinear Functions
Chapter 9
9.1 Volume
9.2 Scientific Notation
9.3 Applications of Volume
Chapter 10
10.1 Explorations and Investigations
Chapter 1: Introduction and Representatiom
Section 1.1
Section 1.2
Chapter 2: ArithmeticStrategies and Area
Section 2.1
Section 2.2
Section 2.3
Chapter 3 Portions and Integers
Section 3.1
Section 3.2
Chapter 4 Variables and Ratios
Section 4.1
Section 4.2
Chapter 5 Multiplying Fractions and Area
Section 5.1
Section 5.2
Section 5.3
Chapter 6 Dividing and Building Expressions
Section 6.1
Section 6.2
Chapter 7 Rates and Operations
Section 7.1
Section 7.2
Section 7.3
Chapter 8 Statistics and Multiplication Equations
Section 8.1
Section 8.2
Section 8.3
Chapter 9 Volume and Percents
Section 9.1
Section 9.2
Section 9.3
Chapter 1: Introduction and Representation
Section 1.1
Section 1.2
Chapter 2: ArithmeticStrategies and Area
Section 2.1
Section 2.2
Section 2.3
Chapter 3 Portions and Integers
Section 3.1
Section 3.2
Chapter 4 Variables and Ratios
Section 4.1
Section 4.2
Chapter 5 Multiplying Fractions and Area
Section 5.1
Section 5.2
Section 5.3
Chapter 6 Dividing and Building Expressions
Section 6.1
Section 6.2
Chapter 7 Rates and Operations
Section 7.1
Section 7.2
Section 7.3
Chapter 8 Statistics and Multiplication Equations
Section 8.1
Section 8.2
Section 8.3
Chapter 9 Volume and Percents
Section 9.1
Section 9.2
Section 9.3
Chapter 1 Introduction and Probability
Section 1.1
Section 1.2
Chapter 2 Fractions and Integer Addition
Section 2.1
Section 2.2
Section 2.3
Chapter 3 Arithmetic Properties
Section 3.1
Section 3.2
Section 3.3
Chapter 4 Proportions and Expressions
Section 4.1
Section 4.2
Section 4.3
Chapter 5 Probability and Solving Word Problems
Section 5.1
Section 5.2
Section 5.3
Section 5.4
Chapter 6 SolvingInequalities and Equations
Section 6.1
Section 6.2
Chapter 7 Proportions and Percents
Section 7.1
Section 7.2
Chapter 8 Statistics and Angle Relationships
Section 8.1
Section 8.2
Section 8.3
Chapter 9 Circles and Volume
Section 9.1
Section 9.2
Section 9.3
Chapter 1 Problem Solving
Section 1.1
Section 1.2
Chapter 2 Simplifying with Variables
Section 2.1
Chapter 3 Graphs and Equations
Section 3.1
Section 3.2
Chapter 4 Multiple Representations
Section 4.1
Chapter 5 Systems of Equations
Section 5.1
Section 5.2
Chapter 6 Transformations and Similarity
Section 6.1
Section 6.2
Chapter 7 Slope and Association
Section 7.1
Section 7.2
Section 7.2
Chapter 8 Exponents and Functions
Section 8.1
Section 8.2
Section 8.2
Chapter 9 Angles and the Pythagorean Theorem
Section 9.1
Section 9.2
Chapter 10 Surface Area and Volume
Section 10.1
Capítulo 1 Introducción y representación
Capítulo 2 Estrategias aritméticas y área
Capítulo 3 Porciones y números enteros
Capítulo 4 Variables y razones
Capítulo 5 Multiplicación de fracciones y área
Capítulo 6 División y construcción de expresiones
Capítulo7Tasas y operaciones
Capítulo 8 Estadística y ecuaciones multiplicativas
Capítulo 9 Volumen y porcentajes
Chapter 1 Functions 1
Section 1.1
Section 1.2
Chapter 2 Linear Relationships
Section 2.1
Section 2.2
Section 2.3
Chapter 3 Simplifying and Solving
Section 3.1
Section 3.2
Section 3.3
Chapter 4 Systems of Equations
Section 4.1
Section 4.2
Section 4.2
Chapter 5 Sequences
Section 5.1
Section 5.2
Section 5.3
Chapter 6 Modeling Two-Variable Data
Section 6.1
Section 6.2
Chapter 7 Exponential Functions
Section 7.1
Section 7.2
Chapter 8 Quadratic Functions
Section 8.1
Section 8.2
Chapter 9 Solving Quadratics and Inequalities
Section 92.1
Section 9.2
Section 9.3
Section 9.4
Chapter 10 Solving Complex Equations
Section 10.1
Section 10.2
Section 10.3
Chapter 11 Functions and Data
Section 11.1
Section 11.2
Section 11.3
Appendix Representing Expressions
Section A.1
Chapter 1 Investigations and Functions
imilarity
Chapter 7 Slope and Association
Chapter 8 Exponents and Functions
Chapter 9 Angles and the Pythagorean Theorem
Chapter 10 Surface Area and Volume
© 1989-2025 CPM EDUCATIONAL PROGRAM All rights reserved. CPM Educational Program is a 501(c)(3) educational nonprofit corporation.
2.3.4
Defining Concavity
4.4.1
Characteristics of Polynomial Functions
5.2.6
Semi-Log Plots
5 Closure
Closure How Can I Apply It? Activity 3
9.3.1
Transition States
9.3.2
Future and Past States
10.3.1
The Parametrization of Functions, Conics, and Their Inverses
10.3.2
Vector-Valued Functions
11.1.5
Rate of Change of Polar Functions
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.
The Building on Instructional Practice Series consists of three different events – Building on Discourse, Building on Assessment, Building on Equity – that are designed for teachers with a minimum of one year of experience teaching with CPM instructional materials and who have completed the Foundations for Implementation Series.
In Building on Equity, participants will learn how to include equitable practices in their classroom and support traditionally underserved students in becoming leaders of their own learning. Essential questions include: How do I shift dependent learners into independent learners? How does my own math identity and cultural background impact my classroom? The focus of day one is equitable classroom culture. Participants will reflect on how their math identity and mindsets impact student learning. They will begin working on a plan for Chapter 1 that creates an equitable classroom culture. The focus of day two and three is implementing equitable tasks. Participants will develop their use of the 5 Practices for Orchestrating Meaningful Mathematical Discussions and curate strategies for supporting all students in becoming leaders of their own learning. Participants will use an equity lens to reflect on and revise their Chapter 1 lesson plans.
In Building on Assessment, participants will apply assessment research and develop methods to provide feedback to students and inform equitable assessment decisions. On day one, participants will align assessment practices with learning progressions and the principle of mastery over time as well as write assessment items. During day two, participants will develop rubrics, explore alternate types of assessment, and plan for implementation that supports student ownership. On the third day, participants will develop strategies to monitor progress and provide evidence of proficiency with identified mathematics content and practices. Participants will develop assessment action plans that will encourage continued collaboration within their learning community.
In Building on Discourse, participants will improve their ability to facilitate meaningful mathematical discourse. This learning experience will encourage participants to adjust their instructional practices in the areas of sharing math authority, developing independent learners, and the creation of equitable classroom environments. Participants will plan for student learning by using teaching practices such as posing purposeful questioning, supporting productive struggle, and facilitating meaningful mathematical discourse. In doing so, participants learn to support students collaboratively engaged with rich tasks with all elements of the Effective Mathematics Teaching Practices incorporated through intentional and reflective planning.