Learners investigate the order of operation in algebraic equations. In this order of operations lesson, students discover the proper order for solving single variable equations.

First, middle school mathematicians read phrases and translate them into a variable expression. Then, they make statements that explain expressions. On a second page, they combine variables to simplify expressions, and then they...

Apply the power of mathematics to the power expressions. The lesson gives examples of expressions that utilize each of the exponent rules to simplify. Once seeing the exponent rules individually, scholars combine them to simplify an...

Help learners use a variety of methods to identify, visualize, and simplify polynomials with like terms. Several different visuals are used to introduce the instructional activity, such as colored pencils, overheads, interactive white...

The concept of absolute value can be difficult for learners to grasp. Reinforce their understanding of a basic absolute value expression and connect it to solving equations and inequalities. Scholars write two equations/inequalities to...

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...

Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.

Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...

If you have two bags with an unknown number of tiles, represented by x, and you add three tiles to get seven total, you can set up a linear equation to represent the problem. Use this example and a few others to demonstrate how to solve...

Who doesn't like boxes of money? A drag-and-drop interactive lets users separate variables and constants to combine like terms. They answer a set of challenge questions based on the results of the interactive.  

Students use, with increasing confidence, problem-solving approaches to investigate and explain mathematical content. They make and test conjectures. They use tables and graphs as tools to interpret expressions, equations, and inequalities.

In this algebra expressions learning exercise, students solve 10 various problems that include solving algebraic expressions. First, they substitute each given expression into the appropriate place and then solve the equation. In...

Students name and sketch numerical expressions. For this order of operation lesson, students add, subtract, multiply and divide using the correct order of operation. They perform four specific calculations for their motivation lesson.

Go from easy to challenging with a worksheet full of different problems designed for solving equations. Your mathematicians will be able to start small with one- and two-step equations and work their way up to multi-step equations. The...

Middle schoolers brainstorm pizza toppings and determine the number of possible ways to order a pizza. For this algebra lesson, students analyze and investigate geometric patterns as they relate to the concept of a variable. Middle...

In this equations worksheet, students explore mathematical expressions.  They solve algebraic equations with one variable and identify the domain and range.  This five-page worksheet contains detailed notes, examples, and 4...

Middle schoolers discover and discuss relationships and functions between varying dependent variables and how they affect the period of the pendulum. They use graphing calculator to express the data collected in a graph, to analyze the...

In this solving equations worksheet, students solve and complete 22 different problems that include using addition and subtraction. First, they solve each equations for the state variable. Then, students define a variable, write an...

In this solving inequalities worksheet, learners solve and complete 22 different problems that include using addition and subtraction to solve each one. First, they solve each inequality by getting the variable on one side alone. Then,...

In this quadratic equations activity, students solve 10 different equations that include complex roots. First, they solve for the indicated variable and express the roots of the equation in simplest form. Then, students determine the...

In this writing two-step equations worksheet, students translate word sentences into algebraic problems. Afterward, they use algebra to solve two-step equations containing one variable. This one-page worksheet contains two examples and...

In this letter symbols worksheet, students solve and complete 4 different types of problems. First, they circle the expressions that are the same as the one shown. Then, students find the value of each symbol. In addition, they simplify...

In this tile diagrams worksheet, 8th graders solve and complete 12 different problems that include using cups and tiles to solve each equation listed. First, they show the check process for each problem by substituting their answer for...

In this multi-step inequalities worksheet, students solve and complete 17 different problems that include solving by applying a number of steps. First, they solve each inequality as indicated and checking their solutions. Then, students...