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Relations and Functions Unit (Algebra 1 Unit 3)

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Grade Levels
8th - 11th
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    Unit Plan & Video Lesson Links

    Description

    This is a complete relations and functions unit for Algebra 1. This is the third unit in my Algebra 1 Curriculum.

    *Note: This unit is best suited for on-level or lower-level/special education math classes. Supplements will most likely be needed for an honors or upper-level math class.

    *Update: video lessons for each set of notes are now included!*

    Topics Covered:

    • relations and functions
    • determining if a relation is a function (for x-y tables, ordered pairs, mapping diagrams, and graphs)
    • coordinate plane review
    • analyzing graphs (continuous or discrete functions, domain, range, zeros, intervals of increase/decrease)
    • real-world graphs (analyzing graphs in terms of context)
    • arithmetic sequences

    You will also receive a pacing guide and teacher tips!

    Terms of Use:

    This product should only be used by the teacher who purchased it. This product is not to be shared with other teachers. Please buy the correct number of licenses if this is to be used by more than one teacher.

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    Total Pages
    Answer Key
    Included
    Teaching Duration
    2 Weeks
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    Standards

    to see state-specific standards (only available in the US).
    Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If 𝘧 is a function and 𝘹 is an element of its domain, then 𝘧(𝘹) denotes the output of 𝘧 corresponding to the input 𝘹. The graph of 𝘧 is the graph of the equation 𝘺 = 𝘧(𝘹).
    Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
    Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by 𝘧(0) = 𝘧(1) = 1, 𝘧(𝘯+1) = 𝘧(𝘯) + 𝘧(𝘯-1) for 𝘯 greater than or equal to 1.
    For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
    Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function 𝘩(𝘯) gives the number of person-hours it takes to assemble 𝘯 engines in a factory, then the positive integers would be an appropriate domain for the function.

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