Daily Lesson Plans--Jeff Luce, Beachwood High School Math Dept.
http://www.beachwoodschools.org/JeffLuce.aspx
AP CALCULUS BC
Students will be able to represent functions numerically, algebraically, and
Students will be able to determine intervals where f(x) is concave up/down,
Students will be able to estimate limits using numerical/graphical/analytical
approaches, see how a limit can fail to exist, and to evaluate limits by dividing
any relative extrema.
/rationalizing/Squeeze Theorem.
Topic:
Section 3.4--Concavity/2nd Derivative Test
Sections 1.2 & 1.3--Limits
Section 1.2--Functions and Their Properties
Assignment:
pp. 195-196 / 1-4 all, 21-51 odd, 61-66 all (6 points)
Worksheet 1.2-1.3 (due Wednesday, 8/26)
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Objectives:
Tuesday,
8/25/15
HONORS PRECALCULUS
to find any points of inflection, and to apply the 2nd Derivative Test to find
Objectives:
Monday,
8/24/15
AP CALCULUS AB
graphically, to determine the domain and range of a function, and to analyze
function characteristics such as extreme values, symmetry, asymptotes, and
end behavior.
Students will be able to estimate limits using numerical/graphical/analytical
Students will be able to recognize graphs of 12 basic functions, determine
approaches, see how a limit can fail to exist, and to evaluate limits by dividing
the domains of functions related to them, and to combine the 12 basic
/rationalizing/Squeeze Theorem.
functions in various ways to create new functions.
Topic:
Quiz 3.1-3.4 (20 points)
Sections 1.2 & 1.3--Limits
Section 1.3--Twelve Basic Functions
Assignment:
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Worksheet 1.2-1.3
pp. 113-115 / 1-28 all, 35-41 odd, 44, 51-52, 58-63 (in-class?)
Objectives:
Students will be able to determine the limits of a function at infinity, find
any horizontal asymptotes, and to analyze & sketch the graph of a function.
Students will be able to determine one-sided limits on a closed interval,
Students will be able to recognize graphs of 12 basic functions, determine
continuity at a point and on an open interval, and to understand and use the
the domains of functions related to them, and to combine the 12 basic
Intermediate Value Theorem.
functions in various ways to create new functions.
Section 1.4--Continuity & One-Sided Limits
Section 1.3--Twelve Basic Functions
Worksheet 1.4
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Wednesday,
8/26/15
or
Thursday,
8/27/15
Friday,
8/28/15
Topic:
Assignment:
3.5, 3.6--Limits at Infinity, Curve Sketching
p. 205 / 3-8, 21-33 every other odd
AND
215 / 1-4, 7, 15, 23, 29, 34
p.
Students will be able to determine infinite limits from the left & right, and
Objectives:
Students will be able to solve applied maximum and minimum problems.
Topic:
Section 3.7--Optimization Problems
Section 1.5--Infinite Limits
Quiz 1.2-1.3 (20 points)
Assignment:
p. 223 / 5-9, 11, 13, 19
p 88 / 14-54 even, 64
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to find & sketch the vertical asymptotes of a function.