Core Connections Algebra, Core Connections Geometry, and Core Connections
Algebra 2

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

Core Connections
Integrated I, II
and III

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

Table of Contents
Inspiring Connections Course 1-3

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

Table of Contents
Core Connections Course 1-3

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

Table of Contents
Core Connections Algebra,
Algebra 2 & Geometry

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

Pillars
The pillars of CPM course design—problem-based lessons with embedded mathematical practices for active student engagement, collaborative student work, and mixed, spaced practice—are informed by methodological research for teaching mathematics that leads to conceptual understanding.
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Research
Research has shown that when students talk about the mathematics, they gain a deeper understanding and remember it longer. In every lesson, CPM embeds work in study teams to encourage students to explain, justify, and critique their reasoning.
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Teamwork
When “teamwork is baked-into CPM tasks” and lessons provide “low floors and high ceilings,” students can work together to get started and persevere in complex problem-solving.
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Inspiring Connections Course 1

Statistics

JAVA

Calculus
Third Edition

Precalculus
Third Edition

Precalculus
Supplement

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

Matemática
Integrada I

Matemática
Integrada II

Matemática
Integrada III

Integrated I

Integrated II

Integrated III

Core Connections en español, Álgebra

Core Connections en español, Geometría

Core Connections en español, Álgebra 2

Core Connections
Algebra

Core Connections Geometry

Core Connections
Algebra 2

Core Connections 1

Core Connections 2

Core Connections 3

Core Connections en español,
Curso 1
Core Connections en español,
Curso 2
Core Connections en español,
Curso 3

Inspiring Connections
Course 1

Inspiring Connections
Course 2

Inspiring Connections
Course 3

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Algebra Tiles Blue Icon
  • Used throughout CPM middle and high school courses
  • Concrete, geometric representation of algebraic concepts.
  • Two-hour virtual session,
  •  Learn how students build their conceptual understanding of simplifying algebraic expressions
  • Solving equations using these tools.  
  • Determining perimeter,
  • Combining like terms,
  • Comparing expressions,
  • Solving equations
  • Use an area model to multiply polynomials,
  • Factor quadratics and other polynomials, and
  • Complete the square.
  • Support the transition from a concrete (manipulative) representation to an abstract model of mathematics..

Foundations for Implementation

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.

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Building on Instructional Practice Series

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.

Building on Equity

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.

Building on Assessment

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.

Building on Discourse

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.