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...

Make a game out of solving equations. This particular activity works well for pairs of learners. Follow the instructions to have player one pick a number and player two verbally give an equation. Participants need to make sense of a...

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...

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...

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

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...

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...

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 an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...

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...

Learning to break apart numbers into smaller pairs is a critical step young mathematicians take as they develop their number sense. To practice this skill, children are provided with sets of three numbers and are asked to pick the two...

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...

Ever feel like you're headed up the down escalator? Don't let your pupils get stuck in that rut! Practice writing equations to solve a problem using an engaging lesson. A video presents information that allows learners to determine how...

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...

Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...

Teach solving for unknowns through a problem-solving approach. The grouping of five lessons progresses from finding an unknown through simple reasoning to solving simultaneous equations involving three and four variables. Each lesson...

Learning math is so much more fun when it involves playing games. Following the rules of the classic game Memory, young mathematicians flip over two cards at a time as they look for numbers whose sum or difference is equal to the value...

Can you determine the exact volume of a bottle based on the relative volume of other bottles? A series of four videos shows someone pouring fluid into bottles. Scholars must set up a system of equations to determine how much each bottle...

Between 2000 and 2017, the cost of potatoes more than doubled in the United States. Pupils use the total cost of two types of potatoes to solve for the number of pounds of each type of potato. Then, they determine if the kitchen scale...

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...

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 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...

Drawing from a scenario of the history of the penny, learners write and solve a system of linear equations from a context.

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...