Learning Resource Type

Classroom Resource

Finding Components of Quadratic Functions - Overview Video

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

This video will explain how to identify components of quadratic functions and solve the function for each variable. 

    Mathematics (2019) Grade(s): 09-12 - Precalculus

    MA19.PRE.20

    Explain each step in solving an equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a clear-cut solution. Construct a viable argument to justify a solution method. Include equations that may involve linear, quadratic, polynomial, exponential, logarithmic, absolute value, radical, rational, piecewise, and trigonometric functions, and their inverses.

    Unpacked Content

    UP:MA19.PRE.20

    Vocabulary

    • equivalence
    • viable

    Knowledge

    Students know:
    • How to solve equations using a reasoning process centered around inverse operations and order of operations

    Skills

    Students are able to:
    • Solve linear, quadratic, polynomial, exponential, logarithmic, absolute value, radical, rational, piecewise, and trigonometric equations (including their inverses) using multiple solution strategies and explain each step in the solution path.
    • Construct a viable argument to justify a chosen solution path used to solve a linear, quadratic, polynomial, exponential, logarithmic, absolute value, radical, rational, piecewise, and trigonometric equation (including their inverses).
    • Compare the steps in each and determine which solution path is most efficient, given an equation with multiple solution paths.
    • Explain when an equation has no solution or infinitely many solutions.

    Understanding

    Students understand that:
    • The process of solving equations is a reasoning process to determine a solution that satisfies the equation rather than a procedural list of steps.
    • An equation has no solution because there is no value that can maintain equivalency and an equation has infinitely many solutions because all values used for the variable create a true equivalency statement
    Mathematics (2019) Grade(s): 09-12 - Precalculus

    MA19.PRE.24

    Compare and contrast families of functions and their representations algebraically, graphically, numerically, and verbally in terms of their key features. Note: Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; symmetries (including even and odd); end behavior; asymptotes; and periodicity. Families of functions include but are not limited to linear, quadratic, polynomial, exponential, logarithmic, absolute value, radical, rational, piecewise, trigonometric, and their inverses.

    Unpacked Content

    UP:MA19.PRE.24

    Vocabulary

    • Function
    • Relative Maximum
    • Relative Minimum
    • Symmetry (Even/Odd)
    • End Behavior
    • Asymptotes
    • Intercepts
    • Increasing/Decreasing Intervals
    • Periodicity
    • Absolute Maximum
    • Absolute Minimum

    Knowledge

    Students know:
    • Properties of functions and make connections between different representations of the same function

    Skills

    Students are able to:
    • Compare properties of functions when represented in different ways (algebraically, graphically, numerically in tables or by verbal descriptions).

    Understanding

    Students understand that:
    • Each representation provides a unique perspective of the function.
    • Different representations are most appropriate for revealing certain key features of the function
    Link to Resource

    CR Resource Type

    Audio/Video

    Resource Provider

    CK-12
    Accessibility
    License

    License Type

    Custom
    ALSDE LOGO