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Secondary Curricula

An integrated approach to teaching secondary mathematics.

Carnegie Learning Integrated Math I-III

Carnegie Learning Integrated Math I-III is a three course series that weaves together numeric, algebraic, geometric, and statistical curricula.

Please use the tabs below to learn more about the features and contents of this curricula and its various implementation options. Use the content browser on the left to view videos and image galleries of the curricula.

Integrated Math I

  • Organizing Single Variable Data
  • Patterns and Linear Functions
  • Proportional Reasoning
  • Modeling Situations Using Multiple Representations
  • Linear Equations: Solving, Graphing, Intercepts, and Slopes
  • Area and Perimeter
  • The Geometry and Algebra of Right Triangles
  • Quadratics
  • Statistical Analysis
  • Probability

Integrated Math II

  • Tools of Geometry
  • Introduction to Proof
  • Properties of Triangles
  • Similarity Through Transformations
  • Congruence Through Transformations
  • Using Congruence Theorems
  • Properties of Quadrilaterals
  • Trigonometry
  • Circles
  • Arcs and Sectors of Circles
  • Three-Dimensional Figures
  • Introduction to Quadratic Functions
  • Polynomials and Quadratics
  • Solving Quadratic Equations and Inequalities
  • Real Number System
  • Other Functions and Inverses
  • Shapes on the Coordinate Plane
  • Circles and Parabolas
  • Probability
  • More Probability, and Counting

Integrated Math III

  • Interpret Data in a Normal Probability Distribution
  • Make Inference and Justify Conclusions
  • Make Decisions Using Complex Probability Models
  • Searching for Patterns
  • Quadratic Functions
  • Graphs of Polynomial Functions
  • Polynomial Expressions and Equations
  • Polynomial Modeling
  • Sequences and Series
  • Graphs of Rational Functions
  • Rational Expressions and Equations
  • Radical Functions
  • Graphs of Exponential and Logarithmic Functions
  • Exponential and Logarithmic Expressions and Equations
  • Mathematical Modeling
  • Graphs of Trigonometric Functions
  • Trigonometric Expressions and Equations

Features of our Textbooks

  • Research-based
  • Designed for a collaborative, student-centered classroom
  • The classroom environment promotes discourse, collaborative work and depth of understanding
  • Students engage in problem solving, communication and reasoning while making connections using multiple representations
  • Students take ownership of their learning, making notes using their texts like a workbook
  • Consumables save money and time — reducing copying costs and lowering replacement costs
  • New textbooks provided every year

Features of Cognitive Tutor Software

The Cognitive Tutor is designed to complement the textbook curricula, but can be used as supplemental curricula for interventions, summer school, and other implementation options. Features include:

  • Differentiated instruction: provides instruction that addresses each student's unique needs
  • Mastery learning model and multi-step problems
  • Continuous formative assessment
  • Immediate feedback and positive reinforcement
  • Detailed reports for analyzing student progress
  • Review for practice prior to exams

Recommended for 40% (or two class periods/week) of the total instructional time in a course, the software is most often accessed via a web delivery model using the Carnegie Learning Online website. It can be delivered via a standalone installation, network/LAN, or remote-hosted local client-server model.

Blended Curriculum

Our Integrated Math content can be delivered in a blended course format, with a combination of collaborative, student-centered textbook lessons and adaptive Cognitive Tutor software lessons. Can be used as core instruction.


Carnegie Learning Integrated Math content can be delivered via textbooks that support a collaborative classroom. Our classroom activities address both mathematical content and process standards. Students develop skills to work cooperatively to solve problems and improve their reasoning and communication skills.

Program Components
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Program Components
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