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Two Pathways. One Proven Approach.

High School Math Curriculum, Grades 9–12

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.

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Choose a pathway

Which one fits your school?

Grades 9 to 12 · TraditionalCore ConnectionsAlgebra, Geometry and Algebra 2, the classic three-course sequence.See the pathwayGrades 9 to 12 · IntegratedCore Connections IntegratedIntegrated I, II and III, with math strands woven throughout each year.See the pathwayFourth year · AdvancedPrecalculus, Calculus & StatisticsAP-supportive courses for students continuing past the core sequence.See the courses Questions?Contact Our TeamWe'll help you work out which pathway fits your school.Get in touch

Why CPM Works

The approach behind both pathways

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, and 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

Two High School Pathways

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.

Core Connections AlgebraCore Connections GeometryCore Connections Algebra 2
Grades 9–12 · Traditional

Core Connections

Algebra · Geometry · Algebra 2

  • Three-course sequence covering Algebra, Geometry, and Algebra 2 in separate, focused courses
  • Familiar structure for districts using traditional course sequencing
  • Reviewed and rated by EdReports, meeting expectations for rigor and mathematical practices
  • Full ecosystem of digital and print resources, study teams, and Homework Help
  • CCSS-aligned with appendix correlations and PARCC framework documentation available
See the table of contents
Core Connections Integrated ICore Connections Integrated IICore Connections Integrated III
Grades 9–12 · Integrated

Core Connections Integrated

Integrated I · Integrated II · Integrated III

  • Three-course sequence weaving algebra, geometry, statistics, and functions together each year
  • Concepts revisited and deepened across all three courses, not siloed by topic
  • Reviewed and rated by EdReports, meeting expectations for rigor and mathematical practices
  • Aligned to integrated CCSS pathways with full correlation documentation available
  • Ideal for districts using state-integrated standards (California, Utah, and others)
See the table of contents

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.

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Curriculum Resources

Everything Included

Every CPM high school course comes with a complete ecosystem of support resources, including two features that support students as they work.

Built in

Methods & Meanings

Core ideas are synthesized in Methods & Meanings 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.

Built in

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 Sample

Study 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 Sample

Mixed 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 Help

Parent 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 PDF

Lesson 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

Tables of Contents

Pick a pathway and a course to see every chapter and its key topics.

Traditional Pathway · Core Connections

Core Connections Algebra

12 chapters
  1. 1FunctionsPatterns, Functions
  2. 2Linear RelationshipsSlope, Rate of Change, Linear Functions
  3. 3Simplifying and SolvingExponential Expressions, Multiplying Binomials, Equation Solving
  4. 4Systems of EquationsWriting Equations, Solving Systems, Word Problems
  5. 5SequencesExponential Growth, Arithmetic Sequences, Sequences and Functions
  6. 6Modeling Two-Variable DataLine of Best Fit, Correlation
  7. 7Exponential FunctionsExponential Functions, Curve Fitting
  8. 8Quadratic FunctionsFactoring, Quadratic Representation
  9. 9Solving Quadratics and Inequalities
  10. 10Solving Complex Equations
  11. 11Functions and Data
  12. AAlgebra Tiles and Expressions

Core Connections Geometry

12 chapters
  1. 1Shapes and TransformationsPatterns, Rigid Transformations, Shapes
  2. 2Angles and MeasurementAngle Relationships, Area, Pythagorean Theorem
  3. 3Justification and SimilaritySimilarity, Triangle Similarity
  4. 4Trigonometry and ProbabilityTangent Ratio, Probability Models
  5. 5Completing the Triangle ToolkitSine and Cosine Ratios, Special Right Triangles, Law of Sines and Cosines
  6. 6Congruent TrianglesCongruent Triangles, Modeling
  7. 7Proof and QuadrilateralsCircle Properties, Proofs, Coordinate Geometry
  8. 8Polygons and CirclesPolygon Angles, Similarity Ratios, Circles
  9. 9Solids and ConstructionsSurface Area and Volumes, Geometric Constructions
  10. 10Circles and Conditional ProbabilityCircle Properties, Two-Way Tables, Counting Principles
  11. 11Solids and CirclesPyramids and Cones, Tangents and Arcs
  12. 12Conics and ClosureCircle Equations, Additional Geometric Topics

Core Connections Algebra 2

13 chapters
  1. 1Investigations and FunctionsFunction Properties, Function Investigations
  2. 2Transformations of Parent GraphsModeling Functions, Transforming Functions
  3. 3Equivalent FormsEquivalent Expressions, Rational Expressions
  4. 4Solving and IntersectionsSolving Systems, Solving Inequalities
  5. 5Inverses and Logarithms
  6. 63-D Graphing and Logarithms
  7. 7Trigonometric FunctionsCyclic Models, Cyclic Functions
  8. 8PolynomialsGraphs, Complex Numbers, Polynomial Division
  9. 9Randomization and Normal DistributionsSampling, Experiments, Normal Distributions
  10. 10SeriesArithmetic, Geometric, Binomial Theorem
  11. 11Simulating Sampling VariabilityProbability Simulations, Statistical Tests
  12. 12Analytic TrigonometrySolving Trig Equations, Trig Identities
  13. ASequences  · 

Integrated Pathway · Core Connections

Core Connections Integrated I

12 chapters
  1. 1FunctionsPatterns, Functions, Exponents
  2. 2Linear RelationshipsSlope, Rate of Change, Linear Functions
  3. 3Transformations and SolvingRigid Transformations, Multiplying Binomials, Equation Solving
  4. 4Modeling Two-Variable DataLine of Best Fit, Correlation
  5. 5SequencesExponential Growth, Arithmetic Sequences, Sequences and Functions
  6. 6Systems of EquationsWord Problems, System Solving Methods, Elimination, Solving Systems
  7. 7Congruence and Coordinate GeometryTriangle Congruence, Coordinate Geometry
  8. 8Exponential FunctionsExponential Functions, Curve Fitting
  9. 9InequalitiesOne-Variable, Two-Variable, Systems of Inequalities
  10. 10Functions and DataComparing Data, Transforming Functions
  11. 11Construction and ClosureConstructions, Word Problems
  12. AAlgebra Tiles

Core Connections Integrated II

12 chapters
  1. 1Exploring Algebraic and Geometric RelationshipsPolygons, Area Models, Angle Relationships
  2. 2Justification and SimilarityTriangle Congruence, Dilations, Triangle Similarity
  3. 3Probability and TrigonometryProbability Models, Tangent Ratio
  4. 4Factoring and More TrigonometryFactoring Expressions, Sine and Cosine Ratios
  5. 5Quadratic FunctionsQuadratic Properties, Solving Quadratic Equations
  6. 6More Right TrianglesSpecial Right Triangles, Modeling
  7. 7Proof and Conditional ProbabilityProofs, Conditional Probability
  8. 8Polygons and CirclesTriangle Centers, Polygon Angles, Ratios of Similarity
  9. 9Modeling with FunctionsNonlinear Functions, Systems and Inequalities, Rate of Change, Inverse Functions
  10. 10Circles and MoreEquation of Circle, Circle Properties
  11. 11SolidsPrisms and Cylinders, Surface Area and Volumes
  12. 12Counting and ClosureCounting Principles, Additional Geometric Topics

Core Connections Integrated III

12 chapters
  1. 1Investigations and FunctionsFunction Properties, Function Investigations
  2. 2Transformations of Parent GraphsModeling Functions, Transforming Functions, Completing the Square
  3. 3Solving and InequalitiesSolving Systems, Solving Inequalities
  4. 4Normal Distributions and Geometric ModelingSampling, Experiments, Normal Distributions, Solids
  5. 5Inverses and Logarithms
  6. 6Simulating Sampling VariabilityProbability Simulations, Statistical Tests
  7. 7Logarithms and TrianglesLogarithms, Law of Sines and Cosines
  8. 8PolynomialsPolynomial Graphs, Complex Numbers, Polynomial Division
  9. 9Trigonometric FunctionsPeriodic Modeling, Transformations
  10. 10SeriesArithmetic, Geometric, Binomial Theorem
  11. 11Rational Expressions and Three-Variable Systems
  12. 12Analytic TrigonometrySolving Trig Equations, Trig Identities

4th Year Course Contents

Precalculus Third Edition

10 chapters
  1. 1Preparing for Your JourneyModeling with Functions, Additional Functions, Radian Measure
  2. 2Functions and TrigonometryFunction Properties, Sine and Cosine Graphs, Trig Equations
  3. 3Algebra and Area Under a CurveEquations and Expressions, Area Under a Curve
  4. 4Polynomial and Rational FunctionsPolynomial Functions, Rational and Reciprocal Functions, Inequalities and Applications
  5. 5Exponentials and Logarithms
  6. 6Triangles and VectorsLaw of Sines and Cosines, Vectors
  7. 7Limits and RatesLimits Introduction, Rates of Change
  8. 8Series
  9. 9Polar and Parametric Functions
  10. 10Logic and Proof

Calculus Third Edition

10 chapters
  1. 1A Beginning Look at CalculusApplying Rates, Properties of Functions, Finite Differences, Distance and Velocity, Area and Slope
  2. 2Rates, Sums, Limits, and ContinuityArea Under a Curve, Limits and Continuity, Local Linearity, Improving Approximation
  3. 3Slope and Curve AnalysisThe Power Rule, Derivatives, Differentiability
  4. 4The Fundamental Theorem of CalculusDefinite Integrals, FTC, Instantaneous Velocity, Area Between Curves, Newton's Method
  5. 5Derivative Tools and Applications
  6. 6Modeling with Derivatives
  7. 7Integration
  8. 8Series
  9. 9Polar and Parametric Equations
  10. 10Multi-Variable Calculus

Statistics

10 chapters
  1. 1Representing DataHistograms and Stem, Choosing Appropriate Statistics, Percentiles
  2. 2Two-Variable Quantitative DataScatterplots and Association, Correlation
  3. 3Multivariable Categorical DataProbability and Two-Way Frequency Tables, Problem Solving with Categorical Data
  4. 4Studies and ExperimentsSurvey Design, Experiments
  5. 5Density Functions and Normal Distributions
  6. 6Discrete Probability DistributionsDiscrete Random Variable, Binomial Distribution, Geometric Distribution
  7. 7Variability in Categorical Data SamplingSampling Distributions, Confidence Intervals
  8. 8Drawing Conclusions from Categorical Data
  9. 9Quantitative Inference
  10. 10Chi-Square Tests

Standards Alignment

CCSS Correlations & AP Alignments

Pick a pathway to find the correlation and alignment PDFs for each course.

Traditional Pathway

Core Connections Algebra

Core ConnectionsAlgebra

4 PDFs

Core Connections Geometry

Core ConnectionsGeometry

4 PDFs

Core Connections Algebra 2

Core ConnectionsAlgebra 2

2 PDFs

Integrated Pathway

Core Connections Integrated I

Core ConnectionsIntegrated I

3 PDFs

Core Connections Integrated II

Core ConnectionsIntegrated II

3 PDFs

Core Connections Integrated III

Core ConnectionsIntegrated III

3 PDFs

4th Year AP Alignments

Precalculus Third Edition

Precalculus Third Edition

1 PDF

Calculus Third Edition

Calculus Third Edition

2 PDFs

Statistics

Statistics

2 PDFs

Need a correlation for your state standards? Ask the CPM team

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Connect with our team to request more information, explore curriculum samples, or find the right pathway for your students and district.

  • 35+Years in classrooms
  • 6–12Grades served
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