Unit 5 - Linear Functions
Statement of Inquiry
Models are depictions of real-life events using expressions, equations or graphs while a function is defined as a relation or expression involving one or more variable. Creating different representations of functions to model the relationships between variables, visually and symbolically as graphs, equations and/or tables represents different ways to communicate mathematical ideas.
Concepts
Change,
Modelling
Change:
A variation in size, amount, or behavior. READ MORE >>
Modelling:
Depictions of real-life events using expressions, equations, or graphs. READ MORE >>
Learning Topics
Course Syllabus Topics
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Function
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Domain and range
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Graphing functions
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Linear models and their parameters
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Rate of change
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Direct variation
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Inverse function
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Arithmetic sequences and series
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Common difference
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General term
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Sum of Series
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Simple interest
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Prediction
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Extrapolation vs interpolation
Prior Learning Support
Prior Learning 1: Solving Linear Equations
Prior Learning 2: Solving Linear Inequalities
Prior Learning 3: Graphing Linear Functions
Conceptual Understandings
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Different representations of functions, symbolically and visually as graphs, equations, and tables provide different ways to communicate mathematical relationships
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The parameters in a function or equation may correspond to notable geometrical features of a graph and can represent physical quantities in spatial dimensions
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Moving between different forms to represent functions allows for deeper understanding and provides different approaches to problem solving
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Our spatial frame of reference affects the visible part of a function and by changing this "window" we can show more or less of a function to suit our needs
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Modelling real-life situations with the structure of arithmetic and geometric sequences and series allows for prediction, analysis and interpretation
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Modelling and finding structure in seemingly random events facilitates prediction
Further Conceptual Understandings
Lesson 1:
Functions, Domain and Range, and Function Notation
In SeeSaw, respond to one. Then, comment to someone else with agreements/disagreements.
TOK Reflections:
j
Reflect
Lesson 2:
Linear Models and
Inverse Functions
In SeeSaw, respond to one. Then, comment to someone else with agreements/disagreements.
TOK Reflections:
Why have mathematics and statistics sometimes
been treated as separate subjects?
Reflect
Lesson 3:
Arithmetic
Sequences
In SeeSaw, respond to one. Then, comment to someone else with agreements/disagreements.
TOK Reflections:
Why have mathematics and statistics sometimes
been treated as separate subjects?
Reflect
Lesson 4:
Sums of Series
and Sigma Notation
In SeeSaw, respond to one. Then, comment to someone else with agreements/disagreements.
TOK Reflections:
Why have mathematics and statistics sometimes
been treated as separate subjects?
Reflect
Lesson 5:
Simple Interest
and Modelling
In SeeSaw, respond to one. Then, comment to someone else with agreements/disagreements.
TOK Reflections:
Why have mathematics and statistics sometimes
been treated as separate subjects?
Reflect
Lesson 6:
Unit Review
Get a start on the
Unit Review in the
Collaborate section...
Ask your questions
in our Unit Discussion.
​
Learn
In SeeSaw, respond to one. Then, comment to someone else with agreements/disagreements.
TOK Reflections:
Why have mathematics and statistics sometimes
been treated as separate subjects?