(U2) Layered Curriculum Lesson Plan Form -Name________________________
Teacher:
Subject
Unit of Instruction:
Implementation Dates:
S. Alvarado & E. Akins
Calculus
Differential Equations : Unit 4
Jan 3rd thru Jan 15th
Curriculum Layers
Student Unit Learning Activities
EVERYONE MUST DO
ALL OF THESE
Pts
1. Attendance at least 80% (P: 16 T: 8, EA: 5, A: 0)
2. Assemble the Unit 1 Portfolio with assignments from below.
CHOOSE ENOUGH OF THE
FOLLOWING TO SHOW YOU
ARE
PROFICIENT/ADVANCED
Be a doer (active participation daily)
4. View the Intro Video
3.
https://www.khanacademy.org/math/differential-equations/v/what-isa-differential-equation
5. Read the Intro Reading
http://tutorial.math.lamar.edu/Classes/DE/Definitions.aspx
6. Distributed Practice
(at least 10 questions; derivatives & integrals)
http://alwaysmath.com/startguest.php?id=101
1st Layer: Basic
knowledge,
understanding. The
student builds on
his/her current level
of core information.
Proficient = 70 points
Advanced = 75 points
Bloom’s Taxonomy:
Knowledge
View the separable Videos
 Video S1
https://www.khanacademy.org/math/differential-equations/v/separable-differentialequations
 VideoS2
https://www.khanacademy.org/math/differential-equations/v/separable-differentialequations-2
 Video S3
http://www.youtube.com/watch?v=XExEixAPK6s
View the exact Videos
 Video E1
https://www.khanacademy.org/math/differential-equations/v/exact-equations-example-1
(alt) http://www.youtube.com/watch?v=bwASJWS8ltM
 Video E2
https://www.khanacademy.org/math/differential-equations/v/exact-equations-example-2
 Video E3
https://www.khanacademy.org/math/differential-equations/v/exact-equations-example-3
 Read instructional separable: S4
http://tutorial.math.lamar.edu/Classes/DE/Separable.aspx
 Read instructional exact: E4
http://tutorial.math.lamar.edu/Classes/DE/Exact.aspx
 Practice S5
http://www.analyzemath.com/calculus/Differential_Equations/separable.html
 Practice E5
http://www.analyzemath.com/calculus/Differential_Equations/first_order.html
 Complete separable Worksheet SWS6
Page 45 #1-20 (Solve)
 Complete exact Worksheet SWE6
Page 95 #1-20 (Determine if Exact, Solve)


 Complete the Unit 4 Quiz 1 (date) _________
Must choose at least six items from #S/E1-5
Must complete SW6, EW6 & Unit 4- Quiz 1
10ea
Ern
2nd Layer :
Application or
manipulation of the
information learned in
the 1st layer. Problem
solving or other higher
level thinking tasks.
Proficient = 30 points
Advanced = 35 points
Bloom’s Taxonomy:
Application & Analysis
3rd Layer : Critical
Thinking and Analysis.
This layer requires
the highest and most
complex thought.
Proficient = 20 points
Advanced = 25 points
 Write a letter to a friend describing the differences between the
separable and exact differential equations.
 Construct a 5-question quiz on differential equations. Must include
an answer key.
 Create a “t-shirt” for the separable vs. exact method (must
include graphical representations).
 Create a crossword puzzle using the key words: ordinary, partial,
order, linear, nonlinear, separable, exact, implicit, explicit, solution.
Must include an answer key.
 Complete the Unit 4 Quiz 2 (date) _________
 Must choose at least two items from #1 thru 4
 Must complete Unit 4- Quiz 2
1. Write an 8.2 research paragraph explaining direction fields
2. Create a Facebook page for the history of differential equations
3. Create a twitter chat between the explicit and implicit solutions
(must include at least 10 tweets)

Must choose at least one item from #1 thru 3
Bloom’s Taxonomy:
Synthesis & Evaluation
FINAL
ASSESSMENT


Project (TBA)
Traditional Assessment (paper/pencil)
10ea
10ea