Texas Education Agency
Texas Gateway: Determining the Domain and Range for Linear Functions
Given a real-world situation that can be modeled by a linear function or a graph of a linear function, the student will determine and represent the reasonable domain and range of the linear function using inequalities.
Shodor Education Foundation
Shodor Interactivate: Positive Linear Function Machine
The interactive activity has students explore positive linear functions by looking for patterns in the outputs to determine the function. The activity and teacher resources are included.
Illustrative Mathematics
Illustrative Mathematics: F Le Do Two Points Always Determine a Linear Function?
For this task, students explore linear functions and whether they can always be determined by two points on the coordinate grid. It focuses on producing an explicit function f(x) in the case where the line is not vertical. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: F Le Linear Functions
In this problem, students are presented with the equations of two linear functions and their intersecting graphs. They are asked to label the graphs and compute values for several points on the graphs. Aligns with F-LE.A.1.b.
Texas Education Agency
Texas Gateway: Determining Parent Functions (Verbal/graph)
Given a graph or verbal description of a function, the student will determine whether the parent function is quadratic or linear.
Texas Education Agency
Texas Gateway:analyzing Effects of the Changes in M and B on the Graph of Y=mx+b
Given algebraic, graphical, or verbal representations of linear functions, the studnet will determine the effects on the graph of the parent function f(x) = x.
CK-12 Foundation
Ck 12: Algebra: Graph Using Intercepts: Graphs of Linear Functions
[Free Registration/Login may be required to access all resource tools.] In this tutorial, students learn to write and evaluate functions and determine if a graph represents a function. They examine guided notes, review guided practice,...
Cuemath
Cuemath: Constant Functions
This mini-lesson targets the concept of constant functions. Provides a definition, shows graphs, and defines their characteristics along with some solved examples and a few practice questions to test your understanding.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth Ii
In this task, students compare exponential and linear functions and find that exponential functions with a base larger than one eventually exceed in value any given linear (or polynomial) function if the value of the input is...
Texas Education Agency
Texas Gateway: Writing Verbal Descriptions of Functional Relationships
Given a problem situation containing a functional relationship, the student will verbally describe the functional relationship that exists.
Illustrative Mathematics
Illustrative Mathematics: F Le Equal Differences Over Equal Intervals 2
For this task, students investigate the changes that take place in the values of a function to determine that linear functions grow by equal differences over equal intervals. Aligns with F-LE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: F Le Us Population 1982 1988
For this task, students are shown a table of U.S. population data between 1982 and 1988 and are asked to explore whether linear functions would be appropriate to model relationships within the data. Aligns with F-LE.B.5 and F-LE.A.1.b.
Illustrative Mathematics
Illustrative Mathematics: F Le Equal Differences Over Equal Intervals 1
In this task, students prove that linear functions grow by equal differences over equal intervals, and notice that in this case, the equal differences have the same value as the slope. Aligns with F-LE.A.1.a.
CK-12 Foundation
Ck 12: Algebra: Using Functions to Describe a Situation
[Free Registration/Login may be required to access all resource tools.] Students learn to write a function rule from a table of values and represent real-world situations with a function. Students examine guided notes, review guided...
CK-12 Foundation
Ck 12: Algebra: Function Notation
[Free Registration/Login may be required to access all resource tools.] This concept introduces function notation. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Shodor Education Foundation
Shodor Interactivate: Lesson: Introduction to Functions
Input numbers into the function machine and explore independent and dependent variables.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth I
In this task, young scholars analyze two methods of payment to discover how an exponentially increasing quantity eventually surpasses a linearly increasing quantity. Aligns with F-LE.A.3.
Shodor Education Foundation
Shodor Interactivate: Function Flyer
This activity allows the manipulation of the constants and coefficients in any function thereby encouraging the user to explore the effects on the graph of the function by changing those numbers.
Math Planet
Math Planet: Algebra 1: Exponential Growth Functions
An exponential function is a nonlinear function that has the form of y=a*b^x, where a != 0, b > 0. An exponential function with a > 0 and b > 1, like the one above, represents an exponential growth and the graph of an...
Student Achievement Partners
Illustrative Mathematics: Delivering the Mail [Pdf]
Assess students learning of linear functions with a summative assessment.
Shodor Education Foundation
Shodor Interactivate: Number Cruncher
The interactive activity has students explore simple linear functions by looking for patterns in the outputs to determine the function. The activity and teacher resources are included.
Illustrative Mathematics
Illustrative Mathematics: F if Oakland Coliseum
In this task, students are asked to find the domain and range of a linear function in the context of ticket sales at the Oakland Coliseum. Aligns with F-IF.B.5.
Shodor Education Foundation
Shodor Interactivate: Linear Inequalities
Students create linear inequalities and systems of linear inequalities on a coordinate plane. This is like a graphing calculator with advanced viewing options.
Illustrative Mathematics
Illustrative Mathematics: 8.f Chicken and Steak, Variation 1
This task has students find a linear function that will calculate the amount of chicken and steak to purchase in order to stay within a given budget. Students then graph the function and interpret it. Aligns with 8.F.B.4.
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