So many different kinds of equations and inequalities! Learners solve equations and inequalities with quadratics and other higher-order polynomials. They then classify the equations based on the number of solutions.

Which scenario is the better deal? Class members examine nine scenarios to determine which choice offers a better deal. Pupils decide whether they need to find unit costs or total prices to compare the two options.

Solve alcohol systems to find the right solution. The interactive allows pupils to manipulate the amount of a solution and displays the total amount in a mixture. Individuals determine the amount of each solution needed to make 15 liters...

Visual models are a great tool for demonstrating the concept of equivalent fractions. Given two pictures, young mathematicians first identify each fraction and then write an explanation for why they are equivalent. Use as a guided...

The votes are in and your mathematicians are going to calculate how many votes each candidate received. Three different solution choices are given, depending on which method is taught. Have your learners set up a table, compute parts, or...

After elections, the total amount of votes is not specified but the ratio of votes is. Your learners' job is to determine the fraction of votes John received above half of all votes. The problem can be solved abstractly or by other...

Overall, this activity contains a good selection of problems that reviews different aspects of linear equations. Learners examine and graph linear equations, absolute value equations, and inequalities in two variables. The three page...

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...

Using a number line, pupils are asked to identify which of four fractions is closest to one half. Includes a single problem that can serve as a practice problem or formative assessment for 3rd or 4th graders learning to partition number...

Which deal is best? Learners determine which of two companies has the best deal for a particular number of shirts. They begin by creating a table and equations containing each company's pricing structure....

How can you relate colligative properties of solutions to everyday situations? Pupils first discuss the concepts of density, boiling and freezing points, then demonstrate how to accurately determine the boiling and freezing point of...

Turn your classroom into a local cell phone store. Then, have your cell phone agents use linear equations to visually display three cell plans and their advantages. It makes for a great group project. Discuss how to decide which plan is...

Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...

Show your classes the magic of numbers. Using a number trick, learners practice writing algebraic expressions. They then use their expression to perform the trick. Their exploration should help them understand the magic behind the trick.

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...

Use this activity as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...

In this algebra worksheet, students work with pairs of linear equations. Three problems ask students to determine if the given ordered pair is a solution of the system of equations. Students graph two systems to determine the solution.

In this algebra worksheet, students solve 9 word problems. Each problem involves two sets of information that students must translate into math symbols. The two equations are then solved for the one solution that is true for both.

Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex. 

After removing the shell from a raw egg, cell biologists soak the egg in either a hypotonic, hypertonic, or isotonic corn syrup solution. They calculate the percent change in mass and compare it to the strength of the solution in a...

Here is another opportunity for math students to apply reasoning to solve real-world problems with ratios. The ratio of the number of votes for two candidates is provided. Your class is asked to use this ratio and information given about...

Take your class on a North American adventure with a currency conversion problem. Pupils are asked to change US dollars into Canadian dollars and then to Mexican pesos. The commentary includes two solutions, converting by unit rates and...

The example of two travelers meeting somewhere along the road has been a stereotypical joke about algebra as long as algebra has existed. Here in this detailed presentation, this old trope gets a careful and approachable treatment....

Here is an attractive worksheet that walks chemistry learners through a review of aqueous solutions. There are matching, short answer, and multiple choice questions dealing with boiling and freezing points, precipitate, molality, net...