High School Math Curriculum

Student-Centered Math Curriculum Solution

These high-quality high school courses will prepare students with the mathematical problem-solving skills needed for college and for engaging with the world’s problems!

Includes core high school: courses

PLUS 4th-Year courses (with content required for AP®).

CPM's High School Programs lnclude

Math Curriculum Solution Centering on
Student Engagement

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 mathematics, they gain a deeper understanding and remember it longer. In every lesson, CPM facilitates problems throughstudy teams to encourage students to explain, justify, and critique their reasoning.
Review Research
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.
Empower Your Students

Algebra, Geometry & Algebra 2
Integrated I, II and III

CPM offers high school mathematics courses. Whether it’s the traditional or integrated pathway, choose the right fit for your classroom.

Table of Contents

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

   Section 1.1 – Patterns

   Section 1.2 – Functions

Chapter 2: Linear Relationships

  Section 2.1 – Slope

  Section 2.2 – Rate of Change

  Section 2.3 – Linear Functions

Chapter 3: Simplifying and Solving

  Section 3.1 – Exponential Expressions

  Section 3.2 – Multiplying Binomials

  Section 3.3 – Equation Solving

Chapter 4: Systems of Equations

  Section 4.1 – Writing Equations

  Section 4.2 – Solving Systems

  Section 4.3 – System Word Problems

Chapter 5: Sequences

  Section 5.1 – Exponential Growth

  Section 5.2 – Arithmetic Sequences

  Section 5.3 – Sequences and Functions

Chapter 6: Modeling Two-Variable Data

  Section 6.1 – Line of Best Fit

  Section 6.2 – Correlation

Chapter 7: Exponential Functions

  Section 7.1 – Exponential Functions

  Section 7.2 – Curve Fitting

Chapter 8: Quadratic Functions

  Section 8.1 – Factoring

  Section 8.2 – Quadratic Representation

Chapter 9: Solving Quadratics and Inequalities

  Section 9.1 – Solving Quadratic Equations

  Section 9.2 – Linear Inequalities

  Section 9.3 – Two-Variable Inequalities

  Section 9.4 – Systems of Inequalities

Chapter 10: Solving Complex Equations

  Section 10.1 – Two-Way Table Associations

  Section 10.2 – Solving Equations

  Section 10.3 – Complex Systems

Chapter 11: Functions and Data

  Section 11.1 – Transforming Functions

  Section 11.2 – Comparing Data

  Section 11.3 – Complex Functions

Appendix A: Representing Expressions 

    Section A.1 – Algebra Tiles and Expressions

Chapter 1: Shapes and Transformations

   Section 1.1 – Patterns

   Section 1.2 – Rigid Transformations

   Section 1.3 – Shapes

Chapter 2: Angles and Measurement

  Section 2.1 – Angle Relationships

  Section 2.2 – Area

  Section 2.3 – Pythagorean Theorem

Chapter 3: Justification and Similarity

  Section 3.1 – Similarity

  Section 3.2 – Triangle Similarity

Chapter 4: Trigonometry and Probability 

  Section 4.1 – Tangent Ratio

  Section 4.2 – Probability Models 

Chapter 5: Completing the Triangle Toolkit

  Section 5.1 – Sine and Cosine Ratios

  Section 5.2 – Special Right Triangles

  Section 5.3 – Law of Sines and Cosines

Chapter 6: Congruent Triangles 

  Section 6.1 – Congruent Triangles

  Section 6.2 – Modeling

Chapter 7: Proof and Quadrilaterals

  Section 7.1 – Circle Properties

  Section 7.2 – Proofs

  Section 7.3 – Coordinate Geometry

Chapter 8: Polygons and Circles

  Section 8.1 – Polygon Angles

  Section 8.2 – Similarity Ratios

  Section 8.3 – Circles 

Chapter 9: Solids and Constructions

  Section 9.1 – Surface Area and Volumes

  Section 9.2 – Geometric Constructions

Chapter 10: Circles and Conditional Probability 

  Section 10.1 – Circle Properties

  Section 10.2 – Two-Way Tables

  Section 10.3 – Counting Principles

Chapter 11: Solids and Circles

  Section 11.1 – Pyramids and Cones

  Section 11.2 – Tangents and Arcs

Chapter 12: Conics and Closure

  Section 12.1 – Circle Equations

  Section 12.2 – Additional Geometric Topics

Chapter 1: Investigations and Functions

   Section 1.1 – Function Properties

   Section 1.2 – Function Investigations

Chapter 2: Transformations of Parent Graphs

  Section 2.1 – Modeling Functions

  Section 2.2 – Transforming Functions

Chapter 3: Equivalent Forms

  Section 3.1 – Equivalent Expressions

  Section 3.2 – Rational Expressions

Chapter 4: Solving and Intersections

  Section 4.1 – Solving Systems

  Section 4.2 – Solving Inequalities

Chapter 5: Inverses and Logarithms

  Section 5.1 – Inverses

  Section 5.2 – Logarithms

Chapter 6 3-D Graphing and Logarithms

  Section 6.1 – Three-Dimensional Modeling

  Section 6.2 – Logarithms

Chapter 7: Trigonometric Functions

  Section 7.1 – Cyclic Models

  Section 7.2 – Cyclic Functions 

Chapter 8: Polynomials

  Section 8.1 – Polynomial Graphs

  Section 8.2 – Complex Numbers

  Section 8.3 – Polynomial Division

Chapter 9: Randomization and Normal Distributions

  Section 9.1 – Sampling

  Section 9.2 – Experiments

  Section 9.3 – Normal Distributions

Chapter 10: Series

  Section 10.1 – Arithmetic Series

  Section 10.2 – Geometric Series

  Section 10.3 – Binomial Theorem

Chapter 11: Simulating Sampling Variability

  Section 11.1 – Probability Simulations

  Section 11.2 – Statistical Tests

  Section 11.3 – Statistic Analysis

Chapter 12: Analytic Trigonometry

  Section 12.1 – Solving Trigonometric Equations

  Section 12.2 – Trigonometric Identities

Appendix A: Sequences 

  Section A.1 – Exponential Growth

  Section A.2 – Arithmetic Sequences

  Section A.3 – Sequences and Functions

Appendix B: Exponential Functions

  Section B.1 – Exponential Functions

  Section B.2 – Curve Fitting

Appendix C: Comparing Single-Variable Data 

  Section C.1 – Data Representations

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

   Section 1.1 – Patterns

   Section 1.2 – Functions

   Section 1.3 – Exponents

Chapter 2: Linear Relationships

  Section 2.1 – Slope

  Section 2.2 – Rate of Change

  Section 2.3 – Linear Functions

Chapter 3: Transformations and Solving

  Section 3.1 – Rigid Transformations

  Section 3.2 – Multiplying Binomials

  Section 3.3 – Equation Solving

Chapter 4: Modeling Two-Variable Data

  Section 4.1 – Line of Best Fit

  Section 4.2 – Correlation

Chapter 5: Sequences

  Section 5.1 – Exponential Growth

  Section 5.2 – Arithmetic Sequences

  Section 5.3 – Sequences and Functions

Chapter 6: Systems of Equations

  Section 6.1 – Word Problems

  Section 6.2 – System Solving Methods

  Section 6.3 – Elimination in System Solving

  Section 6.4 – Solving Systems 

Chapter 7: Congruence and Coordinate Geometry

  Section 7.1 – Triangle Congruence

  Section 7.2 – Coordinate Geometry

Chapter 8: Exponential Functions

  Section 8.1 – Exponential Functions

  Section 8.2 – Curve Fitting

Chapter 9: Inequalities

  Section 9.1 – One-Variable Inequalities

  Section 9.2 – Two-Variable Inequalities

  Section 9.3 – Systems of Inequalities

Chapter 10: Functions and Data

  Section 10.1 – Comparing Data

  Section 10.2 – Transforming Functions

Chapter 11: Construction and Closure

  Section 11.1 – Constructions

  Section 11.2 – Word Problems

Appendix A: Solving Equations 

    Section A.1 – Algebra Tiles

Chapter 1: Exploring Algebraic and Geometric Relationships

   Section 1.1 – Polygons

   Section 1.2 – Area Models 

   Section 1.3 – Angle Relationships

Chapter 2: Justification and Similarity

  Section 2.1 – Triangle Congruence

  Section 2.2 – Dilations

  Section 2.3 – Triangle Similarity

Chapter 3: Probability and Trigonometry

  Section 3.1 – Probability Models

  Section 3.2 – Tangent Ratio

Chapter 4: Factoring and More Trigonometry

  Section 4.1 – Factoring Expressions

  Section 4.2 – Sine and Cosine Ratios

Chapter 5: Quadratic Functions

  Section 5.1 – Quadratic Properties

  Section 5.2 – Solving Quadratic Equations

Chapter 6: More Right Triangles

  Section 6.1 – Special Right Triangles

  Section 6.2 – Modeling

Chapter 7: Proof and Conditional Probability

  Section 7.1 – Proofs

  Section 7.2 – Conditional Probability 

Chapter 8: Polygons and Circles

  Section 8.1 – Triangle Centers

  Section 8.2 – Polygon Angles

  Section 8.3 – Ratios of Similarity

Chapter 9: Modeling with Functions

  Section 9.1 – Nonlinear Functions

  Section 9.2 – Systems and Inequalities

  Section 9.3 – Rate of Change

  Section 9.4 – Inverse Functions

Chapter 10: Circles and More

  Section 10.1 – Equation of Circle 

  Section 10.2 – Circle Properties

Chapter 11: Solids

  Section 11.1 – Prisms and Cylinders

  Section 11.2 – Surface Area and Volumes

Chapter 12: Counting and Closure

  Section 12.1 – Counting Principles

  Section 12.2 – Additional Geometric Topics

Chapter 1: Investigations and Functions

   Section 1.1 – Function Properties

   Section 1.2 – Function Investigations

Chapter 2: Transformations of Parent Graphs

  Section 2.1 – Modeling Functions

  Section 2.2 – Transforming Functions

  Section 2.3 – Completing the Square

Chapter 3: Solving and Inequalities

  Section 3.1 – Solving Systems 

  Section 3.2 – Solving Inequalities

Chapter 4: Normal Distributions and Geometric Modeling

  Section 4.1 – Sampling

  Section 4.2 – Experiments

  Section 4.3 – Normal Distributions

  Section 4.4 – Solids 

Chapter 5: Inverses and Logarithms

  Section 5.1 – Inverses

  Section 5.2 – Logarithms

Chapter 6: Simulating Sampling Variability

  Section 6.1 – Probability Simulations

  Section 6.2 – Statistical Tests

Chapter 7: Logarithms and Triangles

  Section 7.1 – Logarithms

  Section 7.2 – Law of Sines and Cosines 

Chapter 8: Polynomials

  Section 8.1 – Polynomial Graphs

  Section 8.2 – Complex Numbers

  Section 8.3 – Polynomial Division

Chapter 9: Trigonometric Functions

  Section 9.1 – Periodic Modeling

  Section 9.2 – Transformations 

Chapter 10: Series

  Section 10.1 – Arithmetic Series

  Section 10.2 – Geometric Series

  Section 10.3 – Binomial Theorem

Chapter 11: Rational Expressions and Three-Variable Systems

  Section 11.1 – Rational Expressions

  Section 11.2 – Three Dimensional Modeling 

Chapter 12: Analytic Trigonometry

  Section 12.1 – Solving Trigonometric Equations

  Section 12.2 – Trigonometric Identities

High School Math Series
Correlations

Precalculus, Calculus &
Statistics

CPM's 4th-Year High School Courses

These college preparatory courses, with AP®️ aligned content, provide student-centered classroom experiences with problem-based lessons, tools, and routines to engage students with advanced concepts in mathematics.

Precalculus Third Edition
and Supplement

  • Offered with additional AP® Supplements
  • Meets standards for 4th-Year high school math course
  • Well-balanced among procedural fluency, deep conceptual understanding, strategic competence, and adaptive reasoning
  • Design similar to CPM Core Connections courses
  • Introduces calculus with functions, graphs, limits, area under a curve, and rates of change
  • Labs and hands-on activities introduce and connect concepts, with an emphasis on modeling
 

Calculus
Third Edition

  • Content required for an AP® Calculus course
  • Develops the big ideas of limits, derivatives, integrals and the Fundamental Theorem of Calculus, and series. introduces concepts through labs and hands-on activities
  • Explores derivatives and integrals simultaneously, presented geometrically and in-context
 

Statistics

  • Content required for an AP® Statistics course
  • Active-learning based, comprehensive technologically-enhanced.
  • Students learn by solving engaging problems together in an active, technology-enhanced, classroom environment
 

*Advanced Placement® or AP® is a trademark registered by the College Board, which is not affiliated with, and does not endorse, this website.

 

Table of Contents

Precalculus Third Edition
Precalculus Third Edition Supplement

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: Preparing for Your Journey

   Section 1.1 – Modeling with Functions 

   Section 1.2 – Additional  Functions

   Section 1.3 – Radian Measure

Chapter 2: Functions and Trigonometry

   Section 2.1 – Function Properties

   Section 2.2 – Sine and Cosine Graphs

   Section 2.3 – Trigonometric Equations 

Chapter 3: Algebra and Area Under a Curve

   Section 3.1 – Equations and Expressions

   Section 3.2 – Area Under a Curve

Chapter 4: Polynomial and Rational Functions

   Section 4.1 – Polynomial Functions

   Section 4.2 – Rational and Reciprocal Functions

   Section 4.3 – Inequalities and Applications

Chapter 5: Exponentials and Logarithms

   Section 5.1 – Exponentials

   Section 5.2 – Logarithms 

Chapter 6: Triangles and Vectors

   Section 6.1 – Law of Sines and Cosines

   Section 6.2 – Vectors

Chapter 7:  Limits and Rates

   Section 7.1 – Limits Introduction

   Section 7.2 – Rates of Change

Chapter 8:  Extending Periodic Functions

   Section 8.1 – Periodic Function Modeling 

   Section 8.2 – Reciprocal Trigonometric Functions

   Section 8.3 –  Trigonometric Identities

Chapter 9:  Matrices

   Section 9.1 – Matrices

   Section 9.2 – Linear Transformations

Chapter 10: Conics and Parametric Functions

   Section 10.1 – Conic Sections

   Section 10. 2 – Parametrica Functions

Chapter 11:  Polar Functions and Complex Numbers

   Section 11.1 – Polar Functions

   Section 11.2 – Complex Numbers

Chapter 12: Series and Statistics

   Section 12.1 – Series

   Section 12.2 – Binomial Theorem

   Section 12.3 – Expected Value

Chapter 13:  Precalculus Finale

   Section 13.1 – Limits 

   Section 13.2 – Area Under Curve 

   Section 13.3 – Definition of Derivative

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

Calculus Third Edition
Statistics

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: A Beginning Look at Calculus

  Section 1.1 – Applying Rates and Distance

  Section 1.2 – Properties of Functions

  Section 1.3 – Finite Differences

  Section 1.4 – Distance and Velocity

  Section 1.5 – Area and Slope

Chapter 2: Rates, Sums, Limits, and Continuity

  Section 2.1 – Area Under a Curve – 

  Section 2.2 – Limits and Continuity

  Section 2.3 – Local Linearity

  Section 2.4 – Improving Approximation

Chapter 3: Slope and Curve Analysis

  Section 3.1 – The Power Rule

  Section 3.2 – Derivatives

  Section 3.3 – Differentiability

Chapter 4: The Fundamental Theorem of Calculus

  Section 4.1 – Definite Integrals

  Section 4.2 – The Fundamental Theorem of Calculus

  Section 4.3 – Instantaneous Velocity

  Section 4.4 – Area Between Curves

  Section 4.5 – Newton’s Method

Chapter 5: Derivative Tools and Applications

  Section 5.1 – Distance, Velocity, and Acceleration Functions

  Section 5.2 –  Derivative Rules

  Section 5.3 – Optimization Problems

  Section 5.4 – Chain Rule Extension

  Section 5.5 – Limits of Indeterminate Forms

Chapter 6: More Tools and Theorems

  Section 6.1 – Derivatives of Exponential Functions

  Section 6.2 – Implicit Differentiation

  Section 6.3 – Derivatives of Inverse Functions

  Section 6.4 – Mean Value Theorem

  Section 6.5 – Improper Integrals

Chapter 7: Related Rates and Integration Tools

  Section 7.1 – Related Rates Applications

  Section 7.2 – Integration with u-Substitution

  Section 7.3 – Differential Equations Applications

  Section 7.4 – Integration By Parts

Chapter 8: Volume

  Section 8.1 – Disk and Washer Problems

  Section 8.2 – Volume Calculation Methods

  Section 8.3 – Cross-Section Problems

  Section 8.4 – Arc Length

Chapter 9: Pre-Calculus Review

  Section 9.1 – Geometric Series

  Section 9.2 – Parametric Equations

  Section 9.3 – Vectors

  Section 9.4 – Polar Equations

Chapter 10: Convergence of Series

  Section 10.1 – Convergence Tests

  Section 10.2 –  More Logistic Differential Equations

  Section 10. 3 – Polynomials to Approximate Curves

  Section 10.4 – Absolute Convergence

Chapter 11: Polar and Parametric Functions

  Section 11.1 – Area Bounded by a Polar Curve

  Section 11.2 – Applied Calculus in Component Form

  Section 11.3 – Slopes of Polar Curves

  Section 11.4 – Parametric Functions Application 

Chapter 12: Approximating Functions and Error

  Section 12.1 – Taylor Polynomials

  Section 12.2 – Intervals of Convergence

  Section 12.3 – Error Bound

  Section 12.4 – Indeterminate Forms

Chapter 1: Representing Data

  Section 1.1 – Histograms and Stem

  Section 1.2 – Choosing Appropriate Statistics

  Section 1.3 – Percentiles

Chapter 2: Two-Variable Quantitative Data

  Section 2.1 – Scatterplots and Association

  Section 2.2 – Correlation

Chapter 3: Multivariable Categorical Data

  Section 3.1 – Probability and Two-Way Frequency Tables

  Section 3.2 – Problem Solving with Categorical Data

Chapter 4: Studies and Experiments

  Section 4.1 – Survey Design

  Section 4.2 – Experiments

Chapter 5:  Density Functions and Normal Distributions

  Section 5.1 – Density Functions

  Section 5.2 – The Standard Normal Distribution

Chapter 6: Discrete Probability Distributions

  Section 6.1 – Discrete Random Variable

  Section 6.2 -Binomial Distribution

  Section 6.3 – Geometric Distribution

Chapter 7:  Variability in Categorical Data Sampling

  Section 7.1 – Sampling Distributions

  Section 7.2 – Confidence Intervals

Chapter 8: Drawing Conclusions From Categorical Data

  Section 8.1 – Introduction to Hypothesis Testing

  Section 8.2 – Types of Errors and Power

  Section 8.3 – Two-Sample Proportion Hypothesis Tests

Chapter 9: Chi-Squared Inference Procedures

  Section 9.1 – Chi-Squared Goodness of Fit

  Section 9.2 – Chi-Squared Tests

Chapter 10: Drawing Conclusions From Quantitative Data

  Section 10.1 – Sampling Distributions

  Section 10.2 – The Central Limit Theorem

  Section 10.3 – t-Distribution

Chapter 11: Comparing Means and Identifying Tests

  Section 11.1 – Tests for the Difference of Two Means

  Section 11.2 – Identifying and Implementing an Appropriate Test

Chapter 12: Inference for Regression

  Section 12.1 – Inference for the Slope of the Regression Line

  Section 12.2 – Linearity

Chapter 13: ANOVA and Beyond!

  Section 13.1 – Chi-Squared and F-Distribution

  Section 13.2 – One-Way ANOVA

  Section 13.3 – Sign and Mood’s Median Tests

4th-Year High School Math
Course Correlation

Learning Log Sample

LEARNING LOG

Write a Learning Log entry to summarize what you learned today about the Giant One and its uses.  Include examples of how the Giant One is used.  Title this entry “The Giant One and Equivalent Fractions” and label it with today’s date.

Learning Log

Learning Log Sample

LEARNING LOG

Make a rectangle from any number of tiles.  Your rectangle must contain at least one of each of the following tiles: x^2, y^2 , x, y and xy.  Sketch your rectangle in your Learning Log and write its area as a product and as a sum.  Explain how you know that the product and sum are equivalent.  Title this entry “Area as a Product and as a Sum” and label it with today’s date. 

 
 
Learning Log

Homework Help Sample

An example of Homework Help

Sample Checkpoint

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.