Unit Plan: Differential Equations

Written by: Zachi Baharav
Thanks to: Richard Tomasso, IHS.


Room: K10
First Period: 7:20 to 8:13

If I need to do it again:

*************** Methods394_DifferentialEquations_UnitPlan.pdf

Math Resources

Unit plan

This unit plan will be filled in and updated as we go along, with handouts that are given in class, and details.

The following PDF versions do contain the full table, alas with no explicit details on all Homework and links, as those will be updated as we go along.
1Page_unitplan :: Student version (will be handed out first class).
Full_unitplan :: Teahers version (Students can read this one if they wish, but there is way too much extranous information).


Lesson # Subject Details Special comments
1
Lesson1
* Introduction *Connection to Prior-knowledge.
* Motivation.
* Map of the unit + description.
* Terms we will use.
* Verifying solution.
P. 409 : 1, 2, 4, 5, 8, 13, 14, 15
Handout: 1Page_unitplan
Handout: SummarySheet_unitplan
2
Lesson2
* General solution and verifying solution.
* Initial conditions and Particular solution.
* Use simple cases students already know how to solve.
* Important: The solution is a FUNCTION, not a number!
P. 409 : 31,32,36
P. 410 : 37,43,48
3
Lesson3
* Solution curves + Slope fields. * Given general solution, draw solution curves.
* Two ways to get to slope-fields:
* From solution curves.
* From differential equation.
P. 410 : 49->52, 53->56
4
Lesson4
* Slope fields (cont.) * This is one of the critical subjects, so worth spending another full lesson on! P. 412 : 85,87
Extra Credit: 95
Handout: WorkSheets
5
Lesson5
* Unit project. * This can be moved around.
* The reason to put it here initially is to fit on �Casual Friday�.

Handout: Project guidelines.
Handout: Project equations.
6
Lesson6
* Euler method. * Numerical solution. P. 411: 75,76,78
7
Lesson7
* Separation of Variables. * The only method tested P.429: 6,7,11,20,21,23,25,26
8
Lesson8
* Exponential solutions. * Exponential solutions � Most important ones! * Read section 6.2, pay special attention to all the examples.
* P.418 (in this order!) : 11-14,25,26,21,24.
* Choose one of the following sets: (33->35),(43,45,47), (57-58)
9
Lesson9
* Logistic equation. * Write three question (+solutions) for the test: Easy, Medium, Hard.
10
Lesson10
* Unit-project: Little helper sheet. DE_UnitProject
The helpers are pages 4-11.
11
Lesson11
* Unit-project: Finishing up.
* Line-slope.
DE_ReviewSheet
Homework (review) for the week.
12
Lesson12
* Unit-project presentations. UnitProject_Feedback.jpg
13
Lesson13
* Unit review.
Unit Test
DE_UnitTest
* Unit Summary sheet DE_SummarySheetPage
Test results and reflections
Differential Equation test_ppt_after
* Results analysis and reflections



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