High School Math Curriculum
CPM's high school programs prepare students with the mathematical problem-solving skills needed for college and for engaging with the world's problems — through collaboration, problem-based learning, and mixed spaced practice.
4th Year · Advanced
Precalculus, Calculus & Statistics
Collaborative by Design
Study teams of 2–4 structure every lesson — building discourse, reasoning, and risk-taking into daily practice.
Problem-Based Lessons
Non-routine, thought-provoking problems drive every lesson — students construct understanding rather than receive it.
Research-Grounded
Built on CPM's Three Pillars and validated by 35+ years of math education research — both pathways reviewed by EdReports.
College-Prep Ready
Rigorous content aligned to CCSS, with 4th Year AP-supportive courses in Precalculus, Calculus, and Statistics.
Choose Your Pathway
Both pathways cover the full scope of college-preparatory high school mathematics and share CPM's research-grounded approach. The difference is in how the math is organized across the three years.
Grades 9–12 · Traditional
Algebra · Geometry · Algebra 2
Grades 9–12 · Integrated
Integrated I · Integrated II · Integrated III
Not sure which pathway fits your district?
Our team can walk you through the differences and help you match the right sequence to your curriculum map.
Curriculum Resources
Every CPM high school course comes with a complete ecosystem of support resources — including two features exclusive to the high school program.
Math Notes
Core ideas are synthesized in "Math Notes" boxes placed deliberately after the initial introduction of a concept. This gives students time to explore and build conceptual understanding before encountering a formal definition, algorithm, or summary — reversing the traditional explain-then-practice sequence.
Checkpoints
Checkpoints signal to students exactly where fluency with a skill should be achieved. Each checkpoint clearly labels the topic, provides the solution for self-assessment, detailed worked examples, and additional practice problems with answers — giving students a structured on-ramp to mastery.
View Checkpoint SampleStudy Teams
Students work in teams of 2–4 to discuss, share ideas, and articulate their reasoning. Teams create a safe space for productive struggle on complex problems.
eTools for Exploration
Virtual, interactive activities build conceptual understanding. CPM's proprietary tools include algebra tiles, integer tiles, and other integrated digital activities.
Learning Logs
Students reflect on and describe their understanding in their own words. Integrated into lessons to provide closure or clarification of key concepts.
HS SampleMixed Spaced Practice & Homework Help
Students re-engage with past material throughout the course. Homework Help (linked from the eBook) includes solved examples, hints, and references to previously covered problems.
Sample Homework HelpParent Guide
Helps families support students outside the classroom with alternative explanations, helpful examples, and additional practice problems with solutions. Available digitally and in print.
Sample PDFLesson Mathcasts for Teachers
Video walkthroughs of each lesson for teachers — outlining the problems and offering facilitation suggestions for study teams. Ideal for planning, subs, or unfamiliar content.
Course Content
Traditional Pathway — Core Connections
Algebra · Geometry · Algebra 2
Ch 1: Functions — Patterns, Functions
Ch 2: Linear Relationships — Slope, Rate of Change, Linear Functions
Ch 3: Simplifying and Solving — Exponential Expressions, Multiplying Binomials, Equation Solving
Ch 4: Systems of Equations — Writing Equations, Solving Systems, Word Problems
Ch 5: Sequences — Exponential Growth, Arithmetic Sequences, Sequences and Functions
Ch 6: Modeling Two-Variable Data — Line of Best Fit, Correlation
Ch 7: Exponential Functions — Exponential Functions, Curve Fitting
Ch 8: Quadratic Functions — Factoring, Quadratic Representation
Ch 9: Solving Quadratics and Inequalities
Ch 10: Solving Complex Equations
Ch 11: Functions and Data
Appendix A: Algebra Tiles and Expressions
Ch 1: Shapes and Transformations — Patterns, Rigid Transformations, Shapes
Ch 2: Angles and Measurement — Angle Relationships, Area, Pythagorean Theorem
Ch 3: Justification and Similarity — Similarity, Triangle Similarity
Ch 4: Trigonometry and Probability — Tangent Ratio, Probability Models
Ch 5: Completing the Triangle Toolkit — Sine and Cosine Ratios, Special Right Triangles, Law of Sines and Cosines
Ch 6: Congruent Triangles — Congruent Triangles, Modeling
Ch 7: Proof and Quadrilaterals — Circle Properties, Proofs, Coordinate Geometry
Ch 8: Polygons and Circles — Polygon Angles, Similarity Ratios, Circles
Ch 9: Solids and Constructions — Surface Area and Volumes, Geometric Constructions
Ch 10: Circles and Conditional Probability — Circle Properties, Two-Way Tables, Counting Principles
Ch 11: Solids and Circles — Pyramids and Cones, Tangents and Arcs
Ch 12: Conics and Closure — Circle Equations, Additional Geometric Topics
Ch 1: Investigations and Functions — Function Properties, Function Investigations
Ch 2: Transformations of Parent Graphs — Modeling Functions, Transforming Functions
Ch 3: Equivalent Forms — Equivalent Expressions, Rational Expressions
Ch 4: Solving and Intersections — Solving Systems, Solving Inequalities
Ch 5: Inverses and Logarithms
Ch 6: 3-D Graphing and Logarithms
Ch 7: Trigonometric Functions — Cyclic Models, Cyclic Functions
Ch 8: Polynomials — Graphs, Complex Numbers, Polynomial Division
Ch 9: Randomization and Normal Distributions — Sampling, Experiments, Normal Distributions
Ch 10: Series — Arithmetic, Geometric, Binomial Theorem
Ch 11: Simulating Sampling Variability — Probability Simulations, Statistical Tests
Ch 12: Analytic Trigonometry — Solving Trig Equations, Trig Identities
Appendix A: Sequences · Appendix B: Exponential Functions · Appendix C: Comparing Single-Variable Data
Integrated Pathway — Core Connections
Integrated I · Integrated II · Integrated III
Ch 1: Functions — Patterns, Functions, Exponents
Ch 2: Linear Relationships — Slope, Rate of Change, Linear Functions
Ch 3: Transformations and Solving — Rigid Transformations, Multiplying Binomials, Equation Solving
Ch 4: Modeling Two-Variable Data — Line of Best Fit, Correlation
Ch 5: Sequences — Exponential Growth, Arithmetic Sequences, Sequences and Functions
Ch 6: Systems of Equations — Word Problems, System Solving Methods, Elimination, Solving Systems
Ch 7: Congruence and Coordinate Geometry — Triangle Congruence, Coordinate Geometry
Ch 8: Exponential Functions — Exponential Functions, Curve Fitting
Ch 9: Inequalities — One-Variable, Two-Variable, Systems of Inequalities
Ch 10: Functions and Data — Comparing Data, Transforming Functions
Ch 11: Construction and Closure — Constructions, Word Problems
Appendix A: Algebra Tiles
Ch 1: Exploring Algebraic and Geometric Relationships — Polygons, Area Models, Angle Relationships
Ch 2: Justification and Similarity — Triangle Congruence, Dilations, Triangle Similarity
Ch 3: Probability and Trigonometry — Probability Models, Tangent Ratio
Ch 4: Factoring and More Trigonometry — Factoring Expressions, Sine and Cosine Ratios
Ch 5: Quadratic Functions — Quadratic Properties, Solving Quadratic Equations
Ch 6: More Right Triangles — Special Right Triangles, Modeling
Ch 7: Proof and Conditional Probability — Proofs, Conditional Probability
Ch 8: Polygons and Circles — Triangle Centers, Polygon Angles, Ratios of Similarity
Ch 9: Modeling with Functions — Nonlinear Functions, Systems and Inequalities, Rate of Change, Inverse Functions
Ch 10: Circles and More — Equation of Circle, Circle Properties
Ch 11: Solids — Prisms and Cylinders, Surface Area and Volumes
Ch 12: Counting and Closure — Counting Principles, Additional Geometric Topics
Ch 1: Investigations and Functions — Function Properties, Function Investigations
Ch 2: Transformations of Parent Graphs — Modeling Functions, Transforming Functions, Completing the Square
Ch 3: Solving and Inequalities — Solving Systems, Solving Inequalities
Ch 4: Normal Distributions and Geometric Modeling — Sampling, Experiments, Normal Distributions, Solids
Ch 5: Inverses and Logarithms
Ch 6: Simulating Sampling Variability — Probability Simulations, Statistical Tests
Ch 7: Logarithms and Triangles — Logarithms, Law of Sines and Cosines
Ch 8: Polynomials — Polynomial Graphs, Complex Numbers, Polynomial Division
Ch 9: Trigonometric Functions — Periodic Modeling, Transformations
Ch 10: Series — Arithmetic, Geometric, Binomial Theorem
Ch 11: Rational Expressions and Three-Variable Systems
Ch 12: Analytic Trigonometry — Solving Trig Equations, Trig Identities
4th Year Course Contents
Precalculus · Calculus · Statistics
Ch 1: Preparing for Your Journey — Modeling with Functions, Additional Functions, Radian Measure
Ch 2: Functions and Trigonometry — Function Properties, Sine and Cosine Graphs, Trig Equations
Ch 3: Algebra and Area Under a Curve — Equations and Expressions, Area Under a Curve
Ch 4: Polynomial and Rational Functions — Polynomial Functions, Rational and Reciprocal Functions, Inequalities and Applications
Ch 5: Exponentials and Logarithms
Ch 6: Triangles and Vectors — Law of Sines and Cosines, Vectors
Ch 7: Limits and Rates — Limits Introduction, Rates of Change
Ch 8: Series
Ch 9: Polar and Parametric Functions
Ch 10: Logic and Proof
Ch 1: A Beginning Look at Calculus — Applying Rates, Properties of Functions, Finite Differences, Distance and Velocity, Area and Slope
Ch 2: Rates, Sums, Limits, and Continuity — Area Under a Curve, Limits and Continuity, Local Linearity, Improving Approximation
Ch 3: Slope and Curve Analysis — The Power Rule, Derivatives, Differentiability
Ch 4: The Fundamental Theorem of Calculus — Definite Integrals, FTC, Instantaneous Velocity, Area Between Curves, Newton's Method
Ch 5: Derivative Tools and Applications
Ch 6: Modeling with Derivatives
Ch 7: Integration
Ch 8: Series
Ch 9: Polar and Parametric Equations
Ch 10: Multi-Variable Calculus
Ch 1: Representing Data — Histograms and Stem, Choosing Appropriate Statistics, Percentiles
Ch 2: Two-Variable Quantitative Data — Scatterplots and Association, Correlation
Ch 3: Multivariable Categorical Data — Probability and Two-Way Frequency Tables, Problem Solving with Categorical Data
Ch 4: Studies and Experiments — Survey Design, Experiments
Ch 5: Density Functions and Normal Distributions
Ch 6: Discrete Probability Distributions — Discrete Random Variable, Binomial Distribution, Geometric Distribution
Ch 7: Variability in Categorical Data Sampling — Sampling Distributions, Confidence Intervals
Ch 8: Drawing Conclusions from Categorical Data
Ch 9: Quantitative Inference
Ch 10: Chi-Square Tests
Standards Alignment
Traditional Pathway
Core Connections Algebra 2
Integrated Pathway
Core Connections Integrated I
Core Connections Integrated II
Core Connections Integrated III
4th Year AP Alignments
Precalculus Third Edition
Calculus Third Edition
Ready to Learn More?
Connect with our team to request more information, explore curriculum samples, or find the right pathway for your students and district.
I'm Interested2.3.4
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.
