Unit 4 - Exponential & Logarithmic Functions
Global Context
Key Concept
Form
The shape and underlying
structure of an entity or piece
of work, including it's
organization, essential nature,
and external appearance.
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Orientation in Space and Time
Learning Objectives
Related Concepts
Models,
Measurement
Models: Depictions of real-life situations using expressions, equations, or graphs.
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Measurement: A method of determining quantity, capacity,
or dimension using a defined
unit. READ MORE>
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Recognizing exponential functions.
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Using exponential functions to model real-life problems.
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Identifying and using transformations with exponential functions.
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Change equations from exponential to logarithmic form.
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Find inverses of functions and recognize logarithms as inverses of exponentials.
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Graph and describe logarithmic functions.
Statement of Inquiry
Measurement of humankind's impact on the earth is determined by the form
of the models designed to measure this impact.
Inquiry Questions
Factual
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What is exponential growth
and decay? -
What is the relationship between exponential and logarithmic equations?
Conceptual
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What parameters determine whether a model will show exponential growth or decay?
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What "purposes" are fulfilled by logatithms?
Debatable
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Is there always a best model for a situation that grows or decays exponentially?
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Were logarithms developed or discovered ?
Unit Discussion
Questions & Suggestions
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Begin a discussion thread by adding a specific question under a Lesson heading.
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Lesson 1:
Laws of Exponents
Lesson 2:
Rational Exponents
Lesson 3:
Solving Exponential
Equations 1
Criterion C:
Communicate mathematically. Add a drawing + audio clip on Seesaw responding to THIS.
Criterion D:
Real world mathematics.
No step in the Project today.
Reflect
Lesson 4:
Logarithms
Criterion C:
Communicate mathematically. Add a drawing + audio clip on Seesaw responding to THIS.
Criterion D:
Real world mathematics.
No step in the Project today.
Reflect
Lesson 5:
Common and
Natural Logarithms
Criterion C:
Communicate mathematically.
No reflection today.
Criterion D:
Real world mathematics.
No step in the Project today.
Reflect
Lesson 6:
Solving Exponential
Equations 2
Criterion C:
Communicate mathematically. Add a drawing + audio clip on Seesaw responding to THIS.
Criterion D:
Real world mathematics.
No step in the Project today.
Reflect
Lesson 7:
Exponential Growth
and Decay
Criterion C:
Communicate mathematically. None today.
Criterion D:
Real world mathematics.
No step in the Project today.
Reflect
Lesson 8:
Exponential Growth
and Decay Rates
Activity 1
+ Notes Page
Activity 2 - Bonus
Practice with Transformations of
Exponential Funcs.
Collaborate
Criterion C:
Communicate mathematically. None today.
Criterion D:
Real world mathematics.
Please complete STEP 3.
Reflect
Lesson 9:
Continuous Growth and Decay
Criterion C:
Communicate mathematically. Add a drawing + audio clip on Seesaw responding to THIS.
Criterion D:
Real world mathematics.
No new STEP today.
Reflect
Lesson 10:
Inverse Functions
Criterion C:
Communicate mathematically. Add a drawing + audio clip on Seesaw responding to THIS.
Criterion D:
Real world mathematics.
No new STEP today.
Reflect
Lesson 11:
Graphing
Logarithmic
Functions
Lesson 12:
Transforming
Logarithmic
Functions
Criterion C:
Communicate mathematically. Add a drawing + audio clip on Seesaw responding to THIS.
Criterion D:
Real world mathematics.
No new step today.
Reflect
Lesson 13:
Unit Review
Unit Review (Bonus Lessons 9 -12)
Formative Assessment
--> try it like a test,
then, check work HERE
Collaborate
Criterion C:
Communicate mathematically.
No reflection today.
Criterion D:
Real world mathematics.
Step 5 (final step).