Instructional Framework – Calculus

Day 1

Day 2

Day 3

Day 4

Day 5

Identify Problem
Brainstorm and do internet-research for risk factors of heart attack.
 

Lesson Plans

Gather Data
Do flow rate lab to show visualization of relationships between plaque and flow rate.

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Analyze Data, Simplify Problem
Identify assumptions, enter data in Excel, graph and analyze data.

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Develop background skills and knowledge
Solve separable differential equations symbolically.

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Identify variables and

interrelationships, Translate variables and relationships into computational model

View the model; discuss relationships

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Day 5

Day 6

Day 6

Day 7

Day 8

Represent relationships in terms of mathematical equations

Solve Stella flow equation, exploring various scenarios for the solution.

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Defend the identified relationships and assumptions

Run the Stella model to check solutions from yesterday’s work.

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Develop background skills and knowledge

Solve separable differential equations numerically using Euler’s method.

Lesson Plans

Represent relationships in terms of mathematical equations

Solve Stella flow equation, exploring various scenarios for the solution.

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Interpret & communicate findings
Write a letter recommending prevention of arterial blockage from plaque.



Lesson Plans