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

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.

Unpacked Content

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).

Unpacked Content

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.

Unpacked Content

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.

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

Subject Area

Grade(s)

Overview

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.

Unpacked Content

UP:MA19.8A.32

Vocabulary

Knowledge

Skills

Understanding

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).

Unpacked Content

UP:MA19.A1.25

Vocabulary

Knowledge

Skills

Understanding

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.

Unpacked Content

UP:MA19.A1.30

Vocabulary

Knowledge

Skills

Understanding

CR Resource Type

Resource Provider

License Type

Approved Date

Learning Resource Type

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

Subject Area

Grade(s)

Overview

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.

Unpacked Content

Vocabulary

Knowledge

Skills

Understanding

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).

Unpacked Content

Vocabulary

Knowledge

Skills

Understanding

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.

Unpacked Content

Vocabulary

Knowledge

Skills

Understanding

URL (web address)

CR Resource Type

Resource Provider

License Type

Approved Date

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.

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).

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.