An integrated approach to teaching secondary mathematics.
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
- Probability
- Linear Functions
- Parallel and Perpendicular Lines
- Triangles and Quadrilaterals
- Transformations and Symmetry
- Similarity
- Exponential and Logarithmic Functions
- Quadratics
- Higher Order Polynomial and Rational Functions
Integrated Math III
- Behaviors of Functions
- Continuous and Discontinuous Functions
- Functions, Relations, and Inverses
- Polynomial and Rational Functions
- Statistics and Probability
- Circles
- Periodic Functions
- Conic Sections
- Three-Dimensional Geometry
- Compositions of Transformations
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.
Textbooks
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.
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