Often inequalities exist in many real-world contexts but young math learners struggle with understanding how to represent that relationship in a simple equation using an inequality. This activity focuses on the basic concepts by using...

When is the last time you assigned your students only one problem? This seemly simple problem requires learners think like a mathematician and reason about how to solve this compound inequality in one variable. More than just using...

Creating equations with one variable  to solve real-world-type problems is a key skill any algebra learner needs to master. Here the focus is on realizing that one can write the equation in different ways depending upon how one...

Your algebra learners analyze the value of an algebraic expression to decide if it will increase, decrease, or stay the same when one variable is changed as the others stay constant. Their collaborative efforts culminate with a written...

Your class is asked to use inverse operations to solve eleven equations for unknown variables or to rearrange formulas to highlight a quantity of interest. By using the same reasoning as solving one- and two-step equations, algebra...

This activity presents a game played by two learners whose solution is an exercise in creating and analyzing with algebraic inequalities. 

How many people can fit around a table? Depends on the size of the table, right? Explore patterns to generate an equation for the number of people that can fit around a table given its size.

What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.

Tap into the competitive nature of teenagers as your class practices setting up and solving rational equations. This activity starts with a specific ratio of games won to games played, then asks how many more games must be played to...

Buying a new sofa? Learn how to use the Pythagorean Theorem, as well as algebra and graphing techniques, to determine whether the sofa will fit around a corner (which I'm sure you'll agree is a very important consideration!).

Your movie fans will be interested in this resource. They will compare video streaming plans. One plan charges a set rate per month and a reduced viewing fee, and the other has a flat rate per each video viewed. Unfortunately, young...

Exploring functions not represented by an expression is this task's secret. As your learners organize business customers in a database, they explore the definition of what it is to be a function. 

The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....

Build a scale model of a home built out of shipping containers. A hands-on activity has scholars watch a video about a home built from shipping containers and then design their own home. They build scale models of their designed homes...

In this question set, students are asked to solve inequalities in one variable, graph linear inequalities, and graph systems of linear inequalities. Questions are multiple choice and true/false; solutions are included.

Several examples are presented in this tutorial to demonstrate how to solve inequalities in one variable.

This tutorial offers two methods to solve polynomial inequalities. Site includes several examples, charts, graphs, and other information for student understanding.

[Free Registration/Login Required] Students learn how to solve equations with variables using the given graph. Click challenge me to answer practice questions and click learn more to watch a video.

[Free Registration/Login Required] Students practice solving linear equations with variables using fractions. Click challenge me to answer a practice question and click learn more to watch a video.

Students write and interpret a linear equation and an inequality with two variables and use the Inequality Graphing Application to map inequalities on a coordinate plane.