
CPMP
Course 1 1st Edition Units
Unit
1 (sample
material) 
 Patterns
in Data
 Develops student ability to make sense out of realworld 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 stemandleaf 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 NOWNEXT 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 NOWNEXT forms), solving linear equations and inequalities, using linear equations to model given data, and determining bestfit lines for scatterplot data.

Unit
4 (sample
material) 
 Graph
Models
 Develops student ability to use vertexedge graphs to represent and analyze realworld situations involving relationships among a finite number of elements, including scheduling, managing conflicts, and finding efficient routes.

 Topics
include:
 Vertexedge 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 spaceshapes including symmetry, area, and volume.

 Topics
include:
 Two and threedimensional shapes, spatial visualization, perimeter, area, surface area, volume, the Pythagorean Theorem, polygons and their properties, symmetry, isometric transformations (reflections, rotations, translations, glide reflections), onedimensional 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, halflife, 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 realworld 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,
twoweek, projectoriented activity that enables students to pull
together and apply the important mathematical concepts and methods
developed throughout the course.

