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...

Find features of exponential functions of the basic form f(x)=a*r^x given their formula. Features in question are the initial value, the common ratio, and output-values that correspond to various input-values. Students receive immediate...

In general this tutorial tries to explain the reasons for things, and help you understand what's going on inside the system. The idea is to empower you to solve new problems and get the most out of your computer. Thus there's plenty of...

During this lesson, eighth grade middle schoolers will interpret the perimeter of a train of triangles, squares, trapezoids, or hexagons as a function (for each input, there will be exactly one output). Students will represent their data...

This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...

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...

The Number Cruncher, provided by Shodor Education Foundation, is an activity on linear functions. "This activity allows the user to enter numbers and then attempt to find the rule the activity is using to get the data in the output box."

Given the formula of an arithmetic sequence, either in explicit form or in recursive form, find a specific term in the sequence. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...

This task asks students to analyze a set of data about the height of a basketball for each time it bounces. They choose a model that reasonably fits the data and use the model to answer questions about the physical context. This second...

Practice finding the equation of a line passing through two points. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Write equations in point-slope form given two pairs of values, and convert the equation into slope-intercept form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

A transformation is a function that takes points in the plane as inputs and gives other points as outputs. You can think of a transformation as a rule that tells you how to create new points from old points.

Find the slope of a line on the coordinate plane. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

The purpose of this task is to introduce students to an exponential decay function in the form f(x) = abx, with a concrete interpretation of the decay factor b. A table shows the rebound height of a basketball for each successive bounce....

For this task, students are asked to complete a table of input-output pairs for two functions in such a way that one of the functions is invertible and the other one is not. Aligns with F-BF.B.4.