This task gives geometry learners practice in solving radical equations in one variable and zeros in extraneous solutions.

This activity gets at the heart of algebraic reasoning and setting up equations with one variable to solve real-world problems. The worksheet has only one problem, but it requires that learners first use their own reasoning...

Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...

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

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 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...

Learning how a bank account works is a useful tool. The exercise in the resource is to deduct rent from a checking account and create an equation from a description. Participants then graph the balance of the bank account versus months...

Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...

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...

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...

When is the last time you assigned your learners 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...

All too often stores give coupons for an item, but when you go into buy it, the item is on discount.  The store won’t take the coupon if the discount is used. So what do you do, use the coupon or take the discount? This activity...

Collaboration is the key for this equation-solving lesson. Learners solve a multi-step linear equation that requires using the distributive property. Within collaborative groups, scholars discuss multiple methods and troubleshoot mistakes.

In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...

This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...

Learners discover that a system of linear equations models this mixture of quinoa and corn in a collaborative task. Your learners receive all the relevant information in this second of three variants of tasks that ask them to find...

Mrs. Moore's class is trying to earn money for a trip to the science museum, but how much more do they need? Solve this problem with your own class as they develop their ability to model real-life situations algebraically. As an added...

Which modification is the best? Using the scientific method, pairs determine the effects of each control surface on the distance of a glider's flight. The activity, section 16 in a 22-part unit on aviation, allows pupils to gain a better...

If you think Dr. Seuss has no place in a math classroom, then take a look at this resource. Based on the classic children's book Green Eggs and Ham, this sequence of activities engages children learning to model real-world contexts...

Your algebra learners will manipulate an expression's form in order to make obvious the value of it increasing, decreasing, or staying the same, when one variable is changed as the others stay constant. Your future physicists'...

Mathematical reasoning and linear systems are two of the strategies used to solve this number puzzle. Your learners will enjoy the challenge and the variety of ways to approach this challenge.

Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns.  Scholars could find the answer algebraically or create a table to analyze the...

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.

Understanding government spending is difficult. The number of variables can be enormous. In the corresponding resource, number crunchers are given one equation related to government spending with a number of variables. Your class is...