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| Algebra and Functions | ||
|---|---|---|
Key Retained Themes |
What's New? |
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| 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 |
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 |
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| Geometry and Trigonometry | ||
|---|---|---|
Key Retained Themes |
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 |
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 |
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| Statistics and Probability | ||
|---|---|---|
Key Retained Themes |
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 |
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 |
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| Discrete Mathematics | ||
|---|---|---|
Key Retained Themes |
What's New? |
|
| Emphasis on discrete mathematical modeling using networks, recursion, matrices, and enumeration Algorithmic problem solving Optimization |
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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