Illustrative Mathematics
Illustrative Mathematics: F Le Taxi!
In this task, students explore the linear relationship between distance traveled and taxi fare cost. Aligns with A-REI.D.10 and F-LE.B.5.
Illustrative Mathematics
Illustrative Mathematics: F Le in the Billions and Linear Modeling
In this task, students are shown a table of world population data and asked to explore whether linear functions would be appropriate to model relationships within the data. Aligns with F-LE.A.1.b.
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...
Illustrative Mathematics
Illustrative Mathematics: F Le What Functions Do Two Graph Points Determine?
In this task, young scholars find a unique linear function, a unique exponential function, and more than one quadratic function that go through the same two points on the coordinate grid. Aligns with F-LE.A.
Illustrative Mathematics
Illustrative Mathematics: F Le Do Two Points Determine a Linear Function Ii?
In this task, students investigate the relationship between linear equations and linear functions. Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth I
In this task, students analyze two methods of payment to discover how an exponentially increasing quantity eventually surpasses a linearly increasing quantity. Aligns with F-LE.A.3.
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 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 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.
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.
Illustrative Mathematics
Illustrative Mathematics: F Bf Temperatures in Degrees Fahrenheit and Celsius
In this task involving temperature conversions, students construct a linear function given two input-output pairs, investigate the inverse of a linear function, and reason about quantities and/or solving a linear equation. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: F Bf Kimi and Jordan
In this problem, students compare the different incomes and allowances of two young people to see who has earned more in a set period of time, when they will be equal, and what happens if one gets a raise or loses their allowance. Aligns...
Illustrative Mathematics
Illustrative Mathematics: F Bf Us Households
For this task, young scholars are asked to find a linear function which models the number of households in the U.S. as a function of the year. They are also to construct and use an inverse function to model the context, and interpret...
Khan Academy
Khan Academy: Graph From Linear Standard Form
Find the graph of a linear equation given in standard form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra I: Exponential vs. Linear Models
Given a description of a real-world relationship, determine whether that relationship is linear or exponential. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra I: Linear vs. Exponential Growth: From Data
Given a table with values of two quantities over time, determine whether the quantities grow linearly or exponentially. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive...
Khan Academy
Khan Academy: Linear Equations Word Problems: Graphs
Solve word problems about real-world relationships that are given in graphs. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Algebra: Applications of Linear Graphs
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn how to analyze linear graphs to solve problems. Students watch a video tutorial, explore guided notes and attempt practice problems.
CK-12 Foundation
Ck 12: Algebra: Simplifying Rational Expressions
[Free Registration/Login may be required to access all resource tools.] This lesson applies the laws of exponents to rational exponents.
Common Core Sheets
Common Core Sheets: Functions 8.f.3 Worksheets
Print or create worksheets to assess students' understanding of linear functions.
CK-12 Foundation
Ck 12: Algebra: Graphs Using Slope Intercept Form
[Free Registration/Login may be required to access all resource tools.] In this lesson students graph linear equations by using the slope and the y-intercept. Students watch videos, review guided notes and attempt practice problems.
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.
National Council of Teachers of Mathematics
Nctm: Illuminations: Building Connections
In this lesson, students translate between pictorial, written, and verbal representations of polynomials.
Shodor Education Foundation
Shodor Interactivate: Function Machine
Students investigate very simple functions by trying to guess the algebraic form from inputs and outputs.