Finding X- and Y-intercepts of Quadratic Functions | Algebra 1: Module 10 - Topic 4

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

8, 9, 10, 11, 12

Overview

In this program students learn to find x- and y-intercepts of quadratic functions.

Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.32

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

UP:MA19.8A.32

Vocabulary

  • x-intercept
  • y-intercept
  • Maximum
  • Minimum
  • End behavior
  • Linear function
  • Factorization
  • Quadratic function
  • Intercepts
  • Piecewise function
  • Step function
  • Absolute value function
  • Exponential function
  • Domain
  • Range
  • Period
  • Midline
  • Amplitude
  • Zeros

Knowledge

Students know:
  • Techniques for graphing.
  • Key features of graphs of functions.

Skills

Students are able to:
  • Identify the type of function from the symbolic representation.
  • Manipulate expressions to reveal important features for identification in the function.
  • Accurately graph relationships.

Understanding

Students understand that:
  • Key features are different depending on the function.
  • Identifying key features of functions aid in graphing and interpreting the function.
Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.25

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

UP:MA19.A1.25

Vocabulary

  • Arithmetic and geometric sequences
  • Arithmetic sequence
  • Geometric sequence
  • Exponential function

Knowledge

Students know:
  • That linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
  • Properties of arithmetic and geometric sequences.

Skills

Students are able to:
  • Accurately recognize relationships within data and use that relationship to create a linear or exponential function to model the data of a contextual situation.

Understanding

Students understand that:
  • Linear and exponential functions may be used to model data that is presented as a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
  • Linear functions have a constant value added per unit interval, and exponential functions have a constant value multiplied per unit interval.
Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.30

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

UP:MA19.A1.30

Vocabulary

  • x-intercept
  • y-intercept
  • Maximum
  • Minimum
  • End behavior
  • Linear function
  • Factorization
  • Quadratic function
  • Intercepts
  • Piece-wise function
  • Step function
  • Absolute value function
  • Exponential function
  • Domain
  • Range
  • Period
  • Midline
  • Amplitude
  • Zeros

Knowledge

Students know:
  • Techniques for graphing.
  • Key features of graphs of functions.

Skills

Students are able to:
  • Identify the type of function from the symbolic representation.
  • Manipulate expressions to reveal important features for identification in the function.
  • Accurately graph any relationship.

Understanding

Students understand that:
  • Key features are different depending on the function.
  • Identifying key features of functions aid in graphing and interpreting the function.

CR Resource Type

Audio/Video

Resource Provider

PBS

License Type

PD
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