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Math III Unit 1
Multiple Variable Models
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this unit students are expanding their understanding of algebraic
relations to include models in which more than two variables are
involved. By the end of this unit students should have a good understanding
of a variety of means for exploring different multiple variable
situations through the use of tables, graphs, and symbolic representation.
Lesson 1: In this lesson
students will explore how the changes in one variable affects the
values of other variables.
Lesson 2: Students will
work with multiple variable situations that involve algebra, geometry,
and trigonometry. In the second lesson students solve problems involving
the law of Sines and the law of Cosines.
Lesson 3: The investigations
involve two or more output variables related to the same input variable.
The students explore such systems of equations and determine algebraic
models, tables, and graphs for them. Student will also explore inequalities
related to these systems.
Lesson 4: Linear programming
is used to motivate interest in and to show one reason for graphing
linear inequalities. Students will be discovering the feasible region
for linear programming problems, what the boundaries are of the
region, and finally the best solution is always a vertex of the
region. |
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Objectives:
- To develop an understanding of and the ability
to solve problems involving multiple variable relations where
one equation relates more than two variables.
- To develop the ability to solve mulitiple variable
equations for one variable in terms of the other variables.
- To
model situations
with systems
of equations
and inequalities
where two
or more
output variables
are related
to the
same input
variables,
and to apply
those systems
to solve
problems.
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"Text
paraphrased
from CPMP
Math 3A, Math
3 Unit 1,
pages T1 and
T1A" |
Maine Learning Results (MLR): E3,
G4, H3, H4, I
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