AB Calculus
Chapter 2 Goal: Students will be able to calculate limits algebraically and graphically and use those skills in addition to their algebra skills to check whether a
function is continuous or not continuous both algebraically and graphically.
Ch./Obj.
Objective
Vocabulary
Lesson Plan
2.1
(1 day)
2.1: Students will be able to find the
limit of a function graphically; whether,
the function has a hole, vertical
asymptote or any other discontinuity.
Prior Vocabulary:
Discontinuity, Vertical
asymptote, Hole
New Vocabulary:
Limit, Approaching, Does
not exist
1. Spiral: Find the discontinuity of the function
algebraically
2. New: Find the y-value a function is approaching at a
certain x-value from the left and right
3. Assess: (Ind-board) find limits graphically
4. Worksheet: Limits Graphically
2.2
(1.5 days)
2.3: Students will be able to calculate the
limit of a rational function algebraically
with a 3-step process through canceling
holes and locating vertical asymptotes.
Prior Vocabulary:
piecewise, Discontinuity,
Vertical asymptote, Hole,
infinity
New Vocabulary:
Limit, Approaching, DNE
1. Spiral: Find the limit of a function with a graph
2. New: How to use a algebraic function to solve for a limit.
Use holes and vertical asymptotes to help in rational
functions.
3. Assess: (Quick Calls) Find limits of rational functions
4. Worksheet: Limits Algebraically
2.3
(1 day)
2.4: Students will be able to calculate the
limit of a piece-wise function from both
the left and the right algebraically with
no graphs to aid in the process.
Prior Vocabulary:
piecewise, Discontinuity,
Vertical asymptote, Hole
New Vocabulary:
Limit, Approaching, DNE
1. Spiral: Find the limit of a piecewise function with a
graph
2. New: Find the limit of a piecewise function algebraically
3. Assess: (Coach & Call) limits of piecewise functions
algebraically
4. Worksheet: Limits of piecewise functions algebraically
2.4
(1.5 days)
2.5: Students will be able to calculate the
limit of rational functions as they
approaches infinity and negative
infinity.
Prior Vocabulary:
end behavior, horizontal
asymptote
New Vocabulary:
Limit, Approaching, DNE
1. Spiral: Find the limit of a function and its end behavior
2. New: How to calculate the end behavior of a function
algebraically (Acronym: Bobo Boti Eats DC)
3. Assess: (Popcorn) Using rules find limit as approaching
infinity
4. Worksheet: limits to infinity
Limits Quiz
Quiz
(1.5 days)
Personal Goal: Every Lesson should include a method of spiraling back & assessing students understanding before individual learning; as well as, clearly
definingnew material that must be explained in detail to students.
AB Calculus
Chapter 2 Goal: Students will be able to calculate limits algebraically and graphically and use those skills in addition to their algebra skills to check whether a
function is continuous or not continuous both algebraically and graphically.
Ch./Obj.
Objective
Vocabulary
Lesson Plan
2.6: Students will be able to tell whether
a function is continuous using the 3
rules of continuity graphically.
Prior Vocabulary:
limits, discontinuity,
vertical asymptote
New Vocabulary:
continuous
1. Spiral: Find the limit of a piecewise function graphically
2. New: Distinguish what a continuous function looks like
and what rule it breaks if it is not continuous
3. Assess: (TPS) Tell whether the functions are cont. and
why
4. Worksheet: Continuity graphically
2.6
(1 day)
2.7: Students will be able to tell whether
a function, rational or polynomial, is
continuous using the 3 rules of
continuity algebraically.
Prior Vocabulary:
limits, discontinuity,
vertical asymptote,
piecewise function
New Vocabulary:
continuous
1. Spiral: Name the 3 rules of continuity and draw two
2. New: Tell whether a function is continuous using the
rules on a function algebraically
3. Assess: (Ind-board) Use rules to check continuity
4. Worksheet: Continuity algebraically
2.7
(1 day)
2.8: Students will be able to use the
rules and knowledge they have about
continuous functions to make functions
with missing values continuous.
Prior Vocabulary:
limits, discontinuity,
vertical asymptote,
piecewise function
New Vocabulary:
continuous
1. Spiral: Check the continuity of a piecewise function
2. New: using the rules, if a variable is missing, find the
value that will make it continuous
3. Assess: (WB Flash) Find the value that makes the
function continuous
4. Worksheet: Continuity missing variables
2.5
(1 day)
Chapter 2 test
Test
(1.5 days)
Personal Goal: Every Lesson should include a method of spiraling back & assessing students understanding before individual learning; as well as, clearly
definingnew material that must be explained in detail to students.