MAST Block Plan Calculus Template
Unit Essential Content and Connection from last unit and to next unit: Limit of the slope of 2 points!
Theme/Essential Question: What is the point that everything changes?
Summative Assessment Date:
Tues 9/11 2 hours
Content:
U1 Stations
Focus Question:
Ideas:
o
o
Students come in with mind map
IBE: Approach/set up/process and explain
connections…go! E^x/Ln(x) (update mind map)
different color (What did your mind come with/what
are you still adding?)
o For each LT on your mind map, do you have what,
how, why? Record on log. Make a plan and record
in active practice
1. What: What is it?
2. How: An example how do I solve an
actual problem? What is my approach?
3. Why: Connections, why do we care?
o Goal for DOK 1-2: Fluency (speed and accuracy)
o Goal for DOK 3: reasoning, strategy, confidence,
prove to yourself
o Stations labeled as DOK 1-2
1. Fluency (Try for a while, try DOK3, if not
working back to fluency)
2. Problems requiring connecting concepts
and having a deep understanding
o
Wed 9/12 50 min
Content:
U1 Assessment
Focus Question:
Ideas:
o
o
o
o
Test!
22 minutes: MC
20 Minutes: FR (Calculator okay on some
problems)
10 Min: Defense
Defense last 10 min
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Fri 9/14 2 hours
Content:
Error Analysis Unit 1, Start Unit 2
Focus Question:
Ideas:
o
o
o
o
o
o
o
o
Green Pen: Write “G” next to all problems where you
randomly (not educated) guessed.
Green Pen: Any problem that you answered but had
an approach/justification but did not write it down,
write in your approach and/or justification. DO NOT
CORRECT ANY ERRORs
RED PEN:
1. Exam Analysis
2. Error Analysis
3. Defense Analysis
4. Reflection
Hook: What is your favorite Star Wars Character. If
you don’t know what star wars is, what would a
character be in star wars? Students put post it on
board. T tallies post its.
Star Wars 4 A new Hope video clip 1:55 Ch 47
IBE: Ss answer: Describe/draw what changes
IBE: How does change become the victor?
1. Instantaneous point!
Mini Notes: Welcome to the derivative. Pose a
problem
MAST Block Plan Calculus Template
Unit Essential Content and Connection from last unit and to next unit: Limit of the slope of 2 points!
Theme/Essential Question: What is the point that everything changes?
Summative Assessment Date:
Tues 9/18 2 hours
Content: Definition of the derivative,
equation of tangent line
Wed 9/19 50 min
Content: Power Rule
Focus Question: Why
do we need the code?
Fri 9/21 2 hours
Content: Power Rule/Product Rule
Focus Question:
Ideas:
Ideas:
Focus Question:
Ideas:
o IBE: Find the slope of the line given only 1
point…brainstorm (25 minutes)
o Mini Notes: Demonstrate solution and average rate of
change (25 minutes)
o Active Practice: Find derivative Part 1 Worksheet (30
minutes)
o
o
o
IBE: Novel Problem---equation of
tangent line
Mini Notes: Equation of tangent line
Active Practice: Part 2 worksheet
equation of tangent line
o
o
o
o
o
o
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IBE: Whole unit velocity IBE
Hook: What is your favorite war movie? Wind talkers
IBE: Break the code! How? Find a pattern and generalize!
Mini Lecture: Power Rule
Active Practice: Power Rules, equation of tangent line
MAST Block Plan Calculus Template
Unit Essential Content and Connection from last unit and to next unit: Limit of the slope of 2 points!
Theme/Essential Question: What is the point that everything changes?
Summative Assessment Date:
Tues 9/25 2 hours
Content: Product/Quotient Rule
Focus Question: How do the product
and quotient rules save the day?
Ideas:
o Hook: Who is your favorite hero?
o Hook: Captain America “Never give up”
“ http://www.youtube.com/watch?v=JerVrbLldXw
o IBE: Take derivative (long product rule). Need a hero!
o Mini Notes: (fg)’ is NOT f’g’. Use definition of derivative to
create your super-powerful hero!
o Mini Notes: Product Rule and proof
o Active practice: Product Rule
o Mini Notes: Quotient Rule, hand out proof, derivatives you
need to know cold
o Active practice: Mixed product and quotient
o Mini Notes: “Derivative playground” example including
lemma
o Reminder: Lt 1F/1G Assessment Wednesday or Friday.
Tutoring Today afterschool.
Wed 9/26 50 min
Content: Mind Maps and
Active Practice
Focus Question:
Fri 9/28 2 hours
Content: Proof and common
derivatives
Focus Question:
Ideas:
Ideas:
o
o
o
o
o
o
o
o
o
o
o
.IBE: Write everything you know
Mind Map Start with big concepts---then
connect. Each line should have a
connection (12 min)
Wish/Star
Make Wish come true
Become hero with derivatives push
yourself to level 4 on active practice
worksheet
Homework: Add to mind map/refine
Prove Quotient Rule
3 problems that show you are a derivative
hero
Part 1: 31, 34, 44, 47
Part 2: 32, 40, 44, 52
Mini WS: Any 1-5
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o
o
o
o
o
o
IBE: Your task, you choose alone. If you haven’t
proven the quotient rule….prove it! If you have tried
already (successful or not) prove the derivative of
e^x. (Find f’(x) if f(x)=e^x)
Mini Lecture: Common Derivatives
Active Practice: Part 1: 3, 4, 5, 6 , 12, 17, 18, , 20, 2224, 27, 28, 30, 32, 33, 45, or extra worksheet
Quick Check: Limits involving infinity
Error Analysis: Limits involving infinity
MAST Block Plan Calculus Template
Unit Essential Content and Connection from last unit and to next unit: Limit of the slope of 2 points!
Theme/Essential Question: What is the point that everything changes?
Summative Assessment Date:
Tues 10/1 2 hours
Content: Trig Derivatives,
Spiderman velocity
Focus Question:
Ideas:
o Mind Map: Handback, read feedback. HW: Respond
to feedback
o Hook: Favorite Sports movie.
o IBE: What is the plot for EVERY sports movie?
o Mission Impossible Hakuna Matata.
o Mission Impossible: Find the derivative of cos(x)
o Mini Notes: Trig Derivatives
o Active Practice: Trig Derivatives
o Closure: Add to mind map
o Update Unit IBE:
o Hook: Favorite Spiderman movie (1, 2, 3, new?)
Why?
o IBE: NEW Spiderman clip: Draw final scene.
Describe how spiderman’s velocity is changing.
http://www.youtube.com/watch?v=_XayxMPrUP4
o Mini Notes: Spiderman/velocity/tangent line
o Active Practice: Tangent line, velocity novel
problems, etc
o Quick Check: Derivative skills
o Error Analysis: Derivative Skills
Wed 10/3 50 min
Content: Chain Rule
Focus Question: What
is the critical clue that the
hero uses to solve the
murder?
Ideas:
o
o
o
o
o
Hook: Make a chain
IBE: Describe in COMPLETE
DETAIL how the links of the chain
are connected. BE VERY
DETAILED
Mini Notes: Chain Rule
Active practice: Chain Rule
Exit Slip: Chain Rule
Fri 10/5 2 hours
Content: Trig Derivatives…stations practice.
Focus on derivative as slope at ONE point
Focus Question: When are you confident in
all aspects of derivatives?
Ideas:
o
o
o
o
o
o
o
o
IBE: Chain Rule Novel Problem
Active Practice: Chain Rule (SPEED/fluency)
Derivative Quick Check and Corrections
Tangent Line Practice OR Chain Rule Practice (choose b/t Novel
problems)
Continuity Quick Check
Error Analysis
Goal Setting
Calculator Check Out/ SAT Reminders
© Copyrighted by Center for Math and Science Teaching (CMAST)
Unauthorized use or duplication is an infringement of copyright regulation
MAST Block Plan Calculus Template
Unit Essential Content and Connection from last unit and to next unit: Limit of the slope of 2 points!
Theme/Essential Question: What is the point that everything changes?
Summative Assessment Date:
Tues 10/9 1 hour
Content: Rectilinear Motion
Wed 10/10 50 min
Content: Rectilinear Motion
Focus Question:
Focus Question:
Ideas:
o Hook: Marble race!
o IBE: Describe the path, motion of the marble in
words. Now translate to math.
o Teacher prompting: In an elevator, can you feel
velocity? No. You are thinking average velocity
(change in position over time). Instantaneous
velocity you can’t feel, but you can see it on a
graph with a tangent line!  Derivative. The
derivative has applications!
o Mini Lectiure: Rectilinear Motion (include V-SA
and A-C)
o Active Practice: Rectilinear Motion
o Problem to think about: x and y mixed up?!
o Homework: Master Rectilinear Motion. Quick
check of your choice on Friday (Derivative skill,
Tangent Line, Asymptote, Continuity, one sided
limits, indeterminate form…?)
Ideas:
o
o
Mini Lecture: Finish rectilinear motion
example
Active Practice: Rectilinear Motion
Thurs 10/12 2 hours
Content: Logarithmic and Implicit
Differentiation
Focus Question:
Ideas:
IBE: Difficult problem….Logs save the day! (Need a hero)
Mini Lecture: Logarithmic Differentiation
Active Practice: Part 1 of worksheet
Hook: Aladdin
http://www.bing.com/videos/search?q=Aladdin+snake&view=
detail&mid=4EFC61DDE5427410D0CB4EFC61DDE5427410
D0CB&first=21
IBE: How does Alladdin outsmart the villain and win? Mindset,
approach, set up, procedure. Find the derivatives of
constant/variable functions
Mini Lecture: Implicit and Logarithmic
Active Practice: Implicit and Logarithmic
© Copyrighted by Center for Math and Science Teaching (CMAST)
Unauthorized use or duplication is an infringement of copyright regulation
MAST Block Plan Calculus Template
Unit Essential Content and Connection from last unit and to next unit: Limit of the slope of 2 points!
Theme/Essential Question: What is the point that everything changes?
Summative Assessment Date:
Tues 10/15 2 hours
Content:
Wed 10/16 50 min
Content: Derivative Rules
Focus Question: Inverses
Friday 10/19
Content: l’Hopital
Focus Question:
Ideas:
Ideas:
Focus Question:
Ideas:
o Active Practice: Implicit and Logarithmic practice (25 min)
OR rectilinear motion Goal: Finish 5 problems (5 problems
in 5 minutes, can you do it?!)
o Quick Check: Derivatives Assessment (17 min)
o Error Analysis Derivatives (10 min) and Reflection
o IBE: Find the derivative of inverse trig function (10 min)
o Inverse Trig Derivatives (Mini Lecture) (25 min)
o Active Practice: Inverse Trig (5 min)
o
o
Mini Lecture: Inverse Examples
Active practice: Inverse
o
o
o
o
o
o
o
o
o
© Copyrighted by Center for Math and Science Teaching (CMAST)
Unauthorized use or duplication is an infringement of copyright regulation
Hook: Who is your favorite villain from the movies?
IBE: Read passage and annotate. Who is the villain?
Why is he the villain? Justify your choice with
evidence from the passage.
Mini Lecture: L’Hopital’s Rule.
Calculator: Graph the numerator and the denominator
and check what is happening close to 3. Zoom in.
Zoom in more. Really close to 3, these functions can
be approximated by their tangent lines. Therefore, we
can use the tangent lines to determine the limit
instead. Tangent Line Derivative
Mini Lecture: L’Hopital’s
Derivative Assessment: Skills Assessment
Error Analysis: Derivative Skills
Active practice: L’Hopitals, Limits
Homework: Limits (Quick Check next week)
.
MAST Block Plan Calculus Template
Unit Essential Content and Connection from last unit and to next unit: Limit of the slope of 2 points!
Theme/Essential Question: What is the point that everything changes?
Summative Assessment Date:
Tues 10/22 2 hours
Content: Recognizing def of deriv
Wed 10/23 50 min
Content: Physics
Focus Question: W
Friday 10/25 2 hours
Content: Physics, Assessment
Focus Question:
Ideas:
Ideas:
Focus Question:
Ideas:
o Assessment: Limits
o IBE: 2 limit problems
o Mini Lecture: recognizing definition of the derivative
o Active Practice: WS
o Assessment: Rectilinear Motion
o Active Practice: Rectilinear Motion
o Announce: Friday or Tuesday assessment on implicit,
tangent line, inverse
o
o
o
Hook: Favorite Dance Movie
IBE: Where does maximum height occur?
http://www.youtube.com/watch?v=HnzhZx7L
Rig
Mini Lecture: Physics
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Unauthorized use or duplication is an infringement of copyright regulation
o
o
o
o
o
o
IBE: Physics Problem
Active Practice: Physics
Mind Map
Check Learning Targets, what is missing on
your map?
Practice problems from learning targets you
missed and/or gave yourself low levels on
Assessment: Mixed
MAST Block Plan Calculus Template
Unit Essential Content and Connection from last unit and to next unit: Limit of the slope of 2 points!
Theme/Essential Question: What is the point that everything changes?
Summative Assessment Date:
Tues 10/30 2 hours
Content: Differentiability
Focus Question:
Ideas:
o
o Hook: Footloose tractor scene
http://www.youtube.com/watch?v=mA4W1Ayd1jE
o IBE: Draw the velocity of the winner.
o IB: Draw the velocity if they crash. What is the velocity at
impact?
o IBE: Novel Problem
o Mini Notes: Differentiability
o Active Practice: Differentiability Skill Practice
o Active Practice: Differentiability AP practice
o Mini Notes: Calculator Derivatives
o Defend your level of understanding of Continuity by
providing your own problem and making connections.
o Unit 2 Exam: Wednesday Nov 7(Details to follow
tomorrow)
Wed 10/31 50 min
Content: Explain Exam,
Practice
Focus Question:
Ideas:
o
o
o
o
o
o
o
o
Explain Exam
Exam next Wed/Fri
Part 1 50 min 22 questions MC (WED)
FRIDAY:
Mind Map 15 min
Part 2 Calculator OK 25 minutes (2
multiple choice, 4 free response)
Defense: 3 problems, 1 from limits/cont
unit, 1 from derivatives unit, 1 choice (fill
in the gaps!). Purpose of 3 problems is to
connect them all to each other to defend
your understanding of calculus so far. (30
min) Defense can be in the form of a
map, but Ms. Barnes will have to
understand it (purpose of connections)
Active Practice: Big Packet
© Copyrighted by Center for Math and Science Teaching (CMAST)
Unauthorized use or duplication is an infringement of copyright regulation
Friday 11/2
Content:
Substitute/Practice/Assessment
Focus Question:
Ideas:
o
o
o
o
Assessment: 1 problem from each LT
Error Analysis: Corrections
Active Practice: Packet based on corrections, choose
defense problems,
Closure: 1. What do you need for stations on
Tuesday? 2. Any Qs? 3. What is your plan for the
exam before next week
MAST Block Plan Calculus Template
Unit Essential Content and Connection from last unit and to next unit: Limit of the slope of 2 points!
Theme/Essential Question: What is the point that everything changes?
Summative Assessment Date:
Tues 11/6 2 hours
Content: Stations
Wed 11/7 50 min
Content: Exam Part 1
Focus Question:
Friday 11/9
Content: Exam Part 2
Focus Question:
Ideas:
o Defense/talk about final exam/start choosing problems for
mind map
o Walk partner through problems
o Work on 3 problems, Ms. Barnes feedback
o Active practice: Novel problems, by standard. (Time
yourself)
o Calculator tutorial
o Active Practice: Stations, by standard (time yourself)
Ideas:
Ideas:
Tues 11/13 1 hour Veteran’s Day
Content: Stations
Wed 11/14 50 min
Content: Start Curve
Sketching
Focus Question:
Focus Question:
Focus Question:
o
o
Part 1 Exam
Multiple Choice (Calc and non)
Part 1 Exam: 48 min 24 questions
o
o
Free Response
Defense
Essay: 3 problems, 1 from limits/cont, 1 from deriv, 1 choose
(must be a variety, capture essence of all unit). Connect
them all to each other. 30 min
Error Analysis: Wednesday Exam
Conferences
Ideas:
o Reflection: Unit Exam
o Conferences
o Active Practice: Stations (Timed) Focus on Approach/Set
up (Miguel: Focus on procedure—algebra)
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Unauthorized use or duplication is an infringement of copyright regulation