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...

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...

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...

Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...

Here is a resource where algebra learners show their understanding of a system of equations involving a circle and a line. Once graphed, learners see two points of intersection, one where the ordered pair is read, and a second where...

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...

This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...

Students 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...

Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...

Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...

Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...

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...

Here is a coin problem where the algebra learner determines the pair of linear equations needed to solve the system. Whether the equations are taken from a table, or your scholars recognize the format of a coin problem, it is an...

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...

Teenagers love to think about driving and buying their first car. The intent of this resource is to create an equation for the list price of a car and add the appropriate state tax. Once your teens understand the calculation, ask them to...

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.

Determining relationships is all part of algebra and functions. Your mathematicians will decide the type of relationship between airports and population and translate what the slope and y-intercept represent. The problem is multiple...

Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...

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...

The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases.  It...

What's so special about slope? Pupils first match cards with slope and y-intercept to graphs of linear equations. They continue the lesson by matching equations in slope-intercept form to the same graphs.

Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...

We use debt often to describe negative numbers and your learners will be able to see how it translates into math. They will be asked to go through a series of transactions and make simple equations for each one, following it with a...

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!).