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...

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

The church that just can't stay put! A video presentation raises questions of just how far the church will move. Presented with the rate of movement and a range of time expected, scholars build an inequality to answer the question.

Many students like to play sports and the equipment that goes with it costs money. The resource sets up an inequality that gives a total amount needed to purchase the equipment and the initial amount of money already obtained. In order...

The rides at a theme park always have limits on weight or number of riders. This makes a natural example of the use of inequalities to solve real-world problems. Learners explore intuitive solutions using substitution to solve the...

Teach solving absolute value inequalities through inquiry. Groups use their knowledge of absolute value and solving inequalities to find a solution set to an absolute value inequality. Working collaboratively encourages discussion,...

This task includes scaffolding to support the introduction of the writing and graphing of linear inequalities. Then your geometry learners discover that writing down all possible combinations is not feasible so they are led to use...

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...

Learners compose equations and inequalities whose solutions are the integers 1-31 and utilize them to number one month of a calendar. They take notes on two ways to work backwards from a solution: by using the number and by setting x...

Twenty-one pieces of tagboard can lead your class to a greater understanding of integers when you use them to form a human number line. After creating this math tool, two strategies for adding and subtracting will have your...

Play a game of capture the points. Young scholars receive a number line with specific points graphed and must write an inequality that captures all the points. The second task of the algebra project is to write an inequality with...

Learners first determine the slope-intercept and standard forms of inequalities given graphs, and then determine key features of the graphs.

This resource is part of a series which expects participants to be familiar with graphing inequalities on a number line. It is a word problem that asks your class to graph a discrete solution set and interpret it in the context of an...

Four inequality statements are given for the same two negative numbers. The resource is a good practice for pupils to interpret statements of inequalities relative to the position on the number line. The objective is for pupils to...

Your young boaters will enjoy writing and solving inequalities, and representing the solution graphically in this task set in the context of renting a boat.

You want to be where everyone gets a raise. A short clip from the TV show Cheers provides the context for the task. After watching an interaction between a bartender and an owner regarding a raise, viewers write inequalities to represent...

Help your learners understand how to divide fractions with this visual activity. They first answer a simple inequality before dividing the fractions. Two solution choices are given to help your mathematicians understand how to solve "how...

This activity presents a real-world problem about an epidemic of influenza spreading through a city. Learners refer to a graph that shows the number of individuals infected in relation to the number of weeks that have elapsed since...

Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...

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...

Which is colder -12 or -18? Temperature is natural real-world application of ordering rational numbers. It's also fun to talk about the lowest recorded temperature on Earth. Take the time to discuss this inquiry with your class. 

Fractions are a common fear in school, but visualizing them on a number line can help your learners understand their relationship to one another. The activity provides two solutions; use either a number line or a common denominator....

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...

Using this tutorial, you'll learn how to solve linear inequalities and show the solution via interval notation and graphing.