Core-Plus Mathematics


Accelerated students may take a four-year integrated mathematics program called Core-Plus Mathematics (CPM). Our four CPM courses provide an enriching challenging mathematical experience preparing students for college mathematics.

The curriculum builds upon the theme of mathematics as sense-making. Through investigations of real-life contexts, students develop a rich understanding of important mathematics that makes sense to them and, in turn, enables them to make sense out of new situations and problems.


Origin of the Curriculum


The program was originally developed at Western Michigan University, with funding by the National Science Foundation. The materials were designed to implement the vision of high school mathematics expressed in the National Council of Teachers of Mathematics Curriculum and Evaluation Standards for School Mathematics (1989) and Professional Standards for Teaching Mathematics (1991).


Main Features of the Curriculum


Click the sections below to learn more about CPM's distinctive curricular features.
 

Each year the curriculum features four strands of mathematics, unified by fundamental themes, by common topics and by habits of mind or ways of thinking. These strands are:

► Algebra and Functions
► Geometry and Trigonometry
► Statistics and Probability
► Discrete Mathematics

Developing mathematics each year along these multiple strands helps students develop diverse mathematical insights and nurtures their differing strengths and talents. Important mathematical ideas are continually revisited through this attention to connections within and across strands, enabling students to develop a robust understanding of mathematics.

The curriculum emphasizes mathematical modeling and modeling concepts including data collection, representation, interpretation, prediction, and simulation. The modeling perspective permits students to experience mathematics as a means of making sense of data and problems that arise in diverse contexts within and across cultures.

The accessibility of advanced graphing calculators is assumed and is required for all courses at all levels. The required calculator is the Texas Instruments TI-84 graphing calculator. The use of technology permits the curriculum and instruction to emphasize multiple representations of a problem (numerical, graphical and symbolic) and allows students to focus on mathematical thinking and reasoning rather than mere computation.

Instruction and assessment practices are designed to promote mathematical thinking through the use of engaging problem situations. Collaborative groups and individual work are used as students explore, conjecture, verify, apply, and communicate mathematical ideas.

CPM Course Descriptions


Click the sections below to read descriptions of our CPM courses.
 

CREDIT

GRADE LEVEL

PREREQUISITE

1.0 (two quarters)

9

Teacher recommendation

The first course in the Core-Plus series covers topics regarding patterns in data, patterns of change, linear models, graph models, patterns in space and visualization, exponential models and simulation models.

CREDIT

GRADE LEVEL

PREREQUISITE

1.0 (two quarters)

9, 10

Teacher recommendation

The second course in the Core-Plus series covers topics regarding matrix models, patterns of location, shape, and size, patterns of association, power models, network optimization, geometric form and its function, and patterns in chance.

CREDIT

GRADE LEVEL

PREREQUISITE

1.0 (two quarters)

10, 11

Teacher recommendation

The third course in the Core-Plus series covers topics regarding multiple-variable models, modeling public opinion, symbol sense and algebraic reasoning, shapes and geometric reasoning (including proof), patterns in variation, families of functions and discrete models of change.

CREDIT

GRADE LEVEL

PREREQUISITE

1.0 (two quarters)

10, 11, 12

Teacher recommendation

The fourth course in the Core-Plus series contains mathematical content that allows considerable flexibility in tailoring a course to best prepare students for various undergraduate programs. CPM IV is designed for students intending to pursue programs in the mathematical and physical sciences or engineering. The topics include rates of change, modeling motion, logarithmic functions and data models, polynomial and rational functions, functions and symbolic reasoning, and space geometry. Depending on time available, additional topics of study will be selected based on student performance and interests.