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Secondary Curricula

Our updated Geometry curriculum with interactive Proof tools provides deeper, richer content.

Carnegie Learning Geometry

Carnegie Learning Geometry incorporates the van Hiele model of Geometric thought; a theory that describes how students learn geometry. Our curriculum will enable students to develop a deep understanding of Geometry. The course assumes number fluency and basic algebra skills such as equation solving. Carnegie Learning Geometry is aligned to NCTM and Achieve standards. It is designed to be taken after an algebra course and can be implemented with students at a variety of ability and grade levels.

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 new enhancements.

  • Tools of Geometry
  • Introduction of Proof
  • Perimeter and Area of Coordinate Plane
  • Three-dimensional Figures
  • Properties of Triangles
  • Similarity Through Transformation
  • Congruence Through Transformation
  • Using Congruence Theorems
  • Trigonometry
  • Properties of Quadrilaterals
  • Circles
  • Arcs and Sectors of Circles
  • Circles and Parabolas
  • Probability
  • More Probability and Counting

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
  • Lexile Rating: 970

Features of Cognitive Tutor Software

Cognitive Tutor software is designed to complement our textbooks, 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 Geometry 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 Geometry 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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Adaptive Math Software

Our Geometry content is available in our Adaptive Math Software Solutions, which are packages that feature our research-based Cognitive Tutor Software product line. Available in both the Carnegie Learning Adaptive High School Solution and the Carnegie Learning Adaptive Secondary Math Solution.

Program Components
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