Friday, September 05, 2008
Intro to Calculus (Class 4)
Lesson Title
Using Graphs AND Equations
Overview
Our warm-up today continues to focus on interpreting points on graphs. The lesson for the day extend the concept of distance to examining the locus of points in the plane equidistant from a given point-- circles in other words! The purpose will be to help students develop their skills of using graphs in conjunction with equations to solve problems.
Textbook Sections
N/A
Vocabulary
inequality
number line graph
absolute value
interval
open interval
closed interval
infinity
union
critical point
inclusive
exclusive
Key Attitudes
Math is about thinking creatively.
Key Ideas
Graphs and equations can be used in conjunction to help solve problems.
Many concepts are connected to the Pythagorean Theorem.
Key Skills
I can determine the length of a segment connecting two points in the cartesian plane.
I can draw segments to represent specified lengths by connecting integer valued points in the plane.
I can draw and find the equation of a circle when given the locations where the circle intersects axes, a points through which the circle passes, or the endpoints of the diameter of the circle.
I can determine where a circle intersects an axis when given the equation of a circle, completing the square when necessary.
I can determine the equation of a line tangent to a circle given the equation of the circle in various forms and the point of tangency.
Turn-In (#3)
Homework 2
Handouts
Intro to Calculus Homework 3
Assignment
HW 3
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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