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Core-Plus
Mathematics 2nd Edition
What's Retained? What's New?
| Algebra and Functions |
Key Retained Themes |
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What's New? |
Emphasis on algebra as a practical modeling tool
Emphasis on multiple representations of algebraic concepts and principles
- numeric, graphic, symbolic, and contextual
Connection of functions, equations, and inequalities |
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Accelerated introduction of symbol-based reasoning - including symbol manipulation and proof
Greater use of CAS to enhance concept development and support problem solving
More explicit development of symbol sense - connect algebraic forms to numeric,
graphic, and context interpretations and implications
Earlier introduction of inverse functions and logarithms |
| Geometry and Trigonometry |
Key Retained Themes |
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What's New? |
Emphasis on visualization and visual reasoning
Focus on applications of geometry in design and building, including connections between form and function, and in modeling motion
Use of multiple methods - synthetic, coordinate, transformation, and vector |
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Reorganized development of key geometric ideas - congruence, properties of circles, trigonometric ratios and functions
Earlier and more careful development of geometric reasoning and proof
Increased use of coordinate representations and algebra to support geometric reasoning and problem solving
Use of new CPMP-Tools interactive geometry software to support discovery
and
application
of
properties
of shapes and transformations |
| Statistics and Probability |
Key Retained Themes |
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What's New? |
Use of real data
Emphasis on distributions of data and of outcomes of probabilistic situations
Seeing, measuring, and interpreting variability in distributions |
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Exploratory
data analysis material reduced
Earlier development of standard deviation
Earlier introduction to statistical reasoning
New CPMP-Tools software to support concept development and data analysis |
| Discrete Mathematics |
Key Retained Themes |
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What's New? |
Emphasis on discrete mathematical modeling using networks, recursion, matrices, and enumeration
Algorithmic problem solving
Optimization |
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Closer tie between geometry and vertex-edge graphs
More work with algorithms available as choice
Streamlined treatment in Courses 1-3, more options in Course 4
New CPMP-Tools software support |
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