

Objectives
of the Unit

Sample Overview
The sample material
is the first lesson of Unit 5. This material provides an example
of how one unit begins. The sample Teacher's Guide material
shows the features of the Teacher's Guide including the Unit
Planning Guide, instructional notes, solutions, collaboration skills
and prompts, and a Promoting Mathematical Discourse scenario. In the
margin, you will see reducedsize pictures of the Unit Resource
Masters for the investigation. See Implementing CorePlus Mathematics for
information on features of the Teacher's Guide.
Instructional
Design
Throughout the curriculum,
interesting problem contexts serve as the foundation for instruction.
As lessons unfold around these problem situations, classroom instruction
tends to follow a fourphase cycle of classroom activities—Launch,
Explore, Share and Summarize, and Apply.
This instructional model is elaborated under Instructional
Design.
View Sample
Material
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How the Algebra
and Functions Strand Continues
The final algebra
and functions strand unit in Course 1, Unit 7, develops student
ability to recognize and represent quadratic relations between variables
using data tables, graphs, and symbolic formulas; to solve problems
involving quadratic functions; and to express quadratic polynomials
in equivalent factored and expanded forms.
In
Course 2,
students review and extend their ability to recognize, describe, and
use functional relationships among quantitative variables, with special
emphasis on relationships that involve two or more independent variables.
They also develop matrix and linear combination methods for solving
systems of two linear equations. They are introduced to function notation,
review and extend their ability to construct and reason with functions
that model parabolic shapes and other quadratic relationships in science
and economics, with special emphasis on formal symbolic reasoning methods,
and are introduced to common logarithms and algebraic methods for solving
exponential equations.
In
Course 3,
students extend their understanding of formal reasoning in contexts,
study linear inequalities and linear programming, polynomial and rational
functions, sequences and series, and inverse functions.
Course 4:
Preparation for Calculus extends student algebraic skills and understandings
in equations and functions in algebra units but also in geometry units
such as Unit 2, Vectors and Motion, and Unit 6, Surfaces
and Cross Sections. (See the CPMP
Courses 14 descriptions.)
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