              ### CPMP Course 1 1st Edition Units

Unit 1  (sample material)
Patterns in Data
Develops student ability to make sense out of real-world data through use of graphical displays and summary statistics.
Topics include:
Distributions of data and their shapes, as displayed in number line plots, histograms, box plots, and stem-and-leaf plots; scatterplots and association; plots over time and trends; measures of center including mean, median, mode, and their properties; measures of variation including percentiles, interquartile range, mean absolute deviation, and their properties; transformations of data.
Unit 2  (sample material)
Patterns of Change
Develops student ability to recognize important patterns of change among variables and to represent those patterns using tables of numerical data, coordinate graphs, verbal descriptions, and symbolic rules.
Topics include:
Coordinate graphs, tables, algebraic formulas (rules), relationships between variables, linear functions, nonlinear functions, and NOW-NEXT recurrence relations.
Unit 3  (sample material)
Linear Models
Develops student confidence and skill in using linear functions to model and solve problems in situations that exhibit constant (or nearly constant) rate of change or slope.
Topics include:
Linear functions, slope of a line, rate of change, intercepts, the distributive property, linear equations (including y = a + bx and NOW-NEXT forms), solving linear equations and inequalities, using linear equations to model given data, and determining best-fit lines for scatterplot data.
Unit 4  (sample material)
Graph Models
Develops student ability to use vertex-edge graphs to represent and analyze real-world situations involving relationships among a finite number of elements, including scheduling, managing conflicts, and finding efficient routes.
Topics include:
Vertex-edge graph models, optimization, algorithmic problem solving, Euler circuits and paths, matrix representation of graphs, graph coloring, chromatic number, digraphs, and critical path analysis.
Unit 5  (sample material)
Patterns in Space and Visualization
Develops student visualization skills and an understanding of the properties of space-shapes including symmetry, area, and volume.
Topics include:
Two- and three-dimensional shapes, spatial visualization, perimeter, area, surface area, volume, the Pythagorean Theorem, polygons and their properties, symmetry, isometric transformations (reflections, rotations, translations, glide reflections), one-dimensional strip patterns, tilings of the plane, and the regular (Platonic) solids.
Unit 6  (sample material)
Exponential Models
Develops student ability to use exponential functions to model and solve problems in situations that exhibit exponential growth or decay.
Topics include:
Exponential growth, exponential functions, fractals, exponential decay, recursion, half-life, compound growth, finding equations to fit exponential patterns in data, and properties of exponents.
Unit 7  (sample material)
Simulation Models
Develops student confidence and skill in using simulation methods (particularly those involving the use of random numbers) to make sense of real-world situations involving chance.
Topics include:
Simulation, frequency tables and their histograms, random digit tables and random number generators, independent events, the Law of Large Numbers, and expected number of successes in a series of binomial trials.
Capstone
Planning a Benefits Carnival
A thematic, two-week, project-oriented activity that enables students to pull together and apply the important mathematical concepts and methods developed throughout the course.

Reference and Practice (RAP) (sample material)
The Course 1 Reference and Practice book provides Core-Plus students with summaries of previously learned concepts and methods; distributed practice to review and polish previously learned concepts and skills; and test-taking practice for standardized tests and for college admission tests.
Scope and Sequence (pdf - 548Kb) of topics across Courses 1-4

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