In this task, students investigate the relationship between linear equations and linear functions. Aligns with F-LE.A.2.

Students will graph input/output pairs from a simple linear function in order to gain an understanding of basic linear functions.

In this task, 8th graders are presented with the equation for a linear function and asked to identify which of six problem situations the equation could represent. Aligns with 8.F.B.

In these interactive visualizations, explore the relationship between calculating miles per gallon (mpg) to gallons per mile in fuel use for vehicles. Most drivers think gas usage falls linearly (in a straight line) as mpg increases. But...

Play with functions while you ponder Art History. Explore geometric transformations and transform your thinking about linear functions, then have fun figuring out the mystery functions.

Provides examples and a video lesson that illustrates how to graph a linear equation.

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...

For this task, students are asked to identify whether changes are linear or exponential. Aligns with F-LE.A.1.

In this task, 8th graders work with linear functions and learn how to discuss and make calculations with slope and x- and y-intercepts. Aligns with 8.EE.B.

Provides examples and a video lesson that illustrate functions and linear equations. [0:54]

Learners are shown two tables of data showing the approximate boiling point of water at different elevations. Both data sets can be modeled by linear functions but with different slopes. When the tables are combined, however, students...

Gain an understanding of linear equations in the coordinate plane by viewing examples and a video lesson. [2:56]

Students use a graphing calculator to explore the relationship between the linear factors of a quadratic function and its zeros. They learn that the x-intercepts and axis of symmetry of a quadratic function can be determined from its...

Explanation of linear equations and four types of slopes: positive, negative, zero, and undefined. Practice problems for the students are provided and a reinforcement activity using a graphing calculator is offered for the teacher's use.

By the end of this section, you will be able to state Newton's third law of motion, explain the principle involved in propulsion of rockets and jet engines, derive an expression for the acceleration of the rocket , discuss the factors...

Chapter 19 Heart of Algebra focuses on the mastery of linear equations, systems of linear equations, and linear functions. The ability to analyze and create linear equations, inequalities, and functions is essential for success in...

This task assesses a student's ability to construct a linear function and interpret its parameters within the context of a mail truck's mileage. Aligns with 8.F.B.4.

Linear, quadratic and exponential functions have different graphs, equations, and characteristics. In this tutorial, compare the shape of linear, quadratic, and exponential curves on a graph, and explore how to identify a function as...

Students learn about linear approximation. The tutorial consists of examples with detailed solutions.

Young scholars are introduced to correlation between two variables and the line of best fit.

Eighth graders work with input values (the year) and output values (the amount of garbage that year) in a table about the garbage produced in the US. They study the table to answer specific questions, state whether it represents a linear...

This task asks students to identify when two quantitative variables show evidence of a linear association and to describe the strength and direction of that association. Students will use a scatterplot showing the finishing times for the...

In this task, a car is traveling down a steep hill. Students are given the function for elevation versus distance from the start and are asked to find and explain the slope and intercepts of the graph. Aligns with 8.F.B.4.

A biology student is studying bacterial growth. She was surprised to find that the population of the bacteria doubled every hour. Aligns with the F-LE.A and N-RN.A.1 standards.