Topic 3-1: “Understand Relations & Functions”
Standard :8.F.A.1: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Objective
Identify whether a relation is a function
Interpret a function
Essential Understanding
A relation is a set of ordered pairs. A function is a relation in which each input, or x-value, has exactly one output, or y-value. Arrow diagrams and tables can be used to determine whether a relation is a function.
Essential Question: When is a relation a function?
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Topic 3-1 Quiz on Wednesday
Topic 3-2: "Connect Representations of Functions”
Standard :8.F.A.1: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Objective
Identify functions in different representations: equations, tables, and graphs
Essential Understanding
Different representations, such as equations, tables, and graphs, can represent a function. The graph of a linear function is a straight line; the graph on a nonlinear function is not a straight line.
Essential Question: What are different representations of a function?
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Topic 3-1 Review
Topic 3-1 Quiz on Wednesday
Topic 4 Vocabulary due tomorrow
Topic 3-2: "Connect Representations of Functions”
Standard :8.F.A.1: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Objective
Identify functions in different representations: equations, tables, and graphs
Essential Understanding
Different representations, such as equations, tables, and graphs, can represent a function. The graph of a linear function is a straight line; the graph on a nonlinear function is not a straight line.
Essential Question: What are different representations of a function?
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Topic 3-1 Quiz
Topic 3-2 Quiz on Friday
Topic 3-3: “Compare Linear and Nonlinear Functions”
Standard
8.F.A.2: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
8.F.A.3: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
Objective
Compare properties of linear functions in different representations
Compare properties of linear and nonlinear functions in different representations
Essential Understanding
Two functions presented in different representations can be compared by looking at their properties: initial value and constant rate of change.
Essential Question: How can you compare two functions?
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Topic 3-2 Quiz on Friday
Finished Topic 3-3
Went over #1-2 on Benchmark 1
Topic 3-2 Quiz