Unit 3 - Functions and Transformations
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
Related Concepts
Relationships, Change
Relationships: The connections and associations between properties, objects, people and ideas. READ MORE >
Change: A variation in size,
amount, or behavior.
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Learning Objectives
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Understanding the differences between a relation and a function
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Understanding mapping diagrams
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Knowing how to find ordered pairs in a relation
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Understanding domain and range
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Manipulating functions using the correct notation
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Understanding how various parameters affect the shape and position of a graph.
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Applying translations, reflections and dilations to graphs.
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Describing the transformation of a function algebraically and graphically.
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Describing combinations of transformations of a function algebraically and graphically.
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Writing the equation of a graph following one or more transformations.
Statement of Inquiry
Relationships model patterns of change that can help clarify and predict duration, frequency and variability.
Inquiry Questions
Factual
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What are the different ways to represent relationships?
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What is a function?
-
What transformations can be applied to lines and curves?
Conceptual
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What are the similarities and differences between relations and functions?
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How are the different ways of determining if a relation is a function related to one another?
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What are the three transformations for linear and quadratic graphs?
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How can you use transformations to find the equation of a graph?
Debatable
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What do relations that are not functions look like ?
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Can inequality be justified?
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If the graph of a transformed function is the same as the graph of the original function, has the function been transformed?
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If two different transformations give the graph of the same transforrmed function, are the transformations really different?
Unit Discussion
Questions & Suggestions
Unit Calendar
Lesson 1:
Changing the
Subject of a Formula
No pre-lesson
preparation today.
Ask your questions
in our Unit Discussion.
​
Learn
Criterion C:
Communicate mathematically. None today.
Criterion D:
Real world mathematics.
None today.
Reflect
Explore
Lesson 2:
Relations vs.
Functions
Criterion C:
Communicate mathematically. None today.
Criterion D:
Real world mathematics.
None today.
Reflect
Lesson 3:
Graphing:
Domain and Range
Criterion C:
Communicate mathematically. None today.
Criterion D:
Real world mathematics.
None today.
Reflect
Lesson 4:
Evaluating Functions
and Modeling
Learn
Criterion C:
Communicate mathematically.
None today.
Criterion D:
Real world mathematics.
None today.
Reflect
Lesson 5:
Functions Review
Criterion C:
Communicate mathematically.
None today.
Criterion D:
Real world mathematics.
None today.
Reflect
Lesson 6:
Introduction
to Function
Transformations
Criterion C:
Communicate mathematically. Respond to THIS prompt.
Criterion D:
Real world mathematics.
The project will begin
in the next lesson...
Reflect
Lesson 7:
Changing
Equations based
on Transformations
Criterion C:
Communicate mathematically. Respond to THIS prompt.
Criterion D:
Real world mathematics.
Take THIS STEP in your unit project - build it daily!
Reflect
Lesson 8:
Combined
Transformations
Criterion C:
Communicate mathematically. Respond to THIS prompt.
Criterion D:
Real world mathematics.
Take THIS STEP in your unit project - build it daily!
Reflect
Lesson 9:
Combined
Transformations
Along the Same Axis
Criterion C:
Communicate mathematically. Respond to THIS prompt.
(optional)
Criterion D:
Real world mathematics.
Take THIS STEP in your unit project - build it daily!
Reflect
Lesson 10:
Changing
Quadratic Forms
Criterion C:
Communicate mathematically. Respond to THIS prompt.
Criterion D:
Real world mathematics.
Take THIS STEP in your unit project - build it daily!
Reflect
Lesson 11:
Applied
Transformations
None today.
Ask your questions
in our Unit Discussion.
​
Learn
Criterion C:
Communicate mathematically. No reflection today.
Criterion D:
Real world mathematics.
Take THIS STEP to complete
your Unit Project today.