Thursday, March 06, 2008
Algebra (Class 57)
Assignment
ACE p.78 #1, 3, 14
ACE p.42 #34, 35, 39, 45
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.
Lesson Title
Limiting Carbon Dioxide Emissions- Solving Linear Inequalities by Graphing
Overview
In today’s class we continue to work with situations which can be modeled with linear inequalities. In particular we work to further our ability to write systems that represent a situation being careful to define the variables in the situation. Graphs again play a crucial role finding a solution.
Textbook Sections
§10-7 (Txt. p.490) Graphing Linear Inequalities
The Shapes of Algebra- Investigation 5.1 (p. 69)
Vocabulary
inequality
systems of linear inequalities
region
constraint
Key Attitudes
Math is about investigating and confirming
Key Ideas
Inequalities are used to represent situations where there is a limiting value.
Solutions to inequalities can be graphed on a number line when there is only one variable.
Solutions to inequalities are represented by a region on a two axis graph when two variables are involved.
When multiplying or dividing by a negative value, the direction of the inequality switches.
In equalities can include or not include the limiting value. We use a closed circle on the number line to represent including the limiting value and an open circle to represent not including the limiting value.
Key Skills
Solve a linear inequality and graph its solution on a number line.
Find ordered pairs which satisfy two sets of constraints.
Graph a linear inequality on a coordinate plane.
Determine the region that satisfies a system of inequalities by trying points.
Write a system of linear inequalities to model a situation.
Turn-In (#56)
Test Corrections
ACE p.42 #28-33, 38, 44
ACE p. 78 #13, 15
Handouts
No Handouts Posted
Assignment
ACE p.78 #1, 3, 14
ACE p.42 #34, 35, 39, 45
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.
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