

Objectives
of the Unit

Sample Overview
The sample material
is Investigation 1 from Lesson 3. In Lessons 1 and 2,
students developed a connected understanding of the first three objectives
above. With that understanding in place, they develop effective methods
for solving quadratic equations algebraically. In Investigation 2
(not provided here), students use the quadratic formula to solve quadratic
equations. They also connect the formula to the information it provides
on the xintercepts and maximum or minimum of the quadratic
function that corresponds to the equation.
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.
You will need the free Adobe Acrobat Reader software to view and print the sample material.
How the Algebra
and Functions Strand Continues
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 (including
the vertex form of quadratic functions) 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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