Functions as inputs for other functions? After reviewing function notation and how to input values to evaluate functions, class members input functions into functions, essentially determining the composition of functions.

In this translating worksheet, students read a word sentence, and then translate it to an algebraic equation. Fifteen problems are provided on this one-page worksheet. Answers are provided on the right-side of the page.

In this algebra worksheet, students simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the final 7...

In this order of operations instructional activity, students use the order of operations to solve given problems. Students solve simple one-variable algebra problems. They substitute a given value to evaluate expressions. This two-page...

Financial literacy is such an important, and often-overlooked, skill to teach our young people. Here is a terrific lesson which has pupils explore how to come up with a personal budget. They consider income, saving, taxes, and their...

Is there one, none, or more? Through discussion or activity, scholars find the properties of an equation that will determine the number of solutions. They then use the properties discovered to figure out the number of solutions...

In this modeling in algebra activity, 8th graders solve ten different types of algebra problems, including 5 word problems. They first complete each table, describe the pattern used, and determine the 20th and nth term for each. Students...

In this quadratic equations worksheet, 8th graders solve and complete 7 various types of problems. First, they find the area for each rectangle with a given perimeter. Then, students describe the shape of the graph and use the equation...

In this solving equations activity, learners solve for x in 24 problems by combining like terms. All the equations involve addition and have only a single variable.

This fabulous resource is a must-have for any algebra teacher's arsenal of lessons. Developing the idea of equations and use of variables from basic physical scenarios, learners gain valuable intuition in the structure and meaning of...

What do guitars, candles, and helicopters have in common? They're all in this resource. Learners complete an assessment task to determine the amount of profit made in a guitar class based on given information regarding variable...

Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.

Mathematicians use an inquiry method to solve linear equations. In this linear equations lesson, students practice solving equations using addition, subtraction, multiplication and division. They solve multi-step equations and equations...

Two-variable equations can express a constant rate situation. The lesson presents several constant rate problems. Pupils use the stated constant rate to create a linear equation, find values in a table, and graph the points. The resource...

Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...

Young scholars write and solve linear equations in one variable based on descriptions of the operations that are applied to the unknown variable in an algebra machine. They then create their own problems for classmates to solve.

Building on knowledge from the previous lesson, the second lesson in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...

Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.

Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...

Abracadabra! Letters can be used in math to represent numbers with the operations of addition, subtraction, multiplication, and division to solve problems! Math magicians will participate in an activity that uses a calculator and a bag...

What is absolute value? What is an absolute value function? Emerging mathematicians solve equations containing variables inside an absolute value sign.  They graph each function on a coordinate plane and identify the maximum and...

How does gravity affect the life cycle of a butterfly? Learn first-hand what types of investigations astronauts perform in space by following along with one of NASA's experiments. Create butterfly habitats in the classroom with specific...

There's more than one way to solve an equation — three, actually. Scholars learn how to solve simple linear equations in one variable using three different methods, which include using balance scales, using decomposition (e.g., turning...

Can you add variables if you don't know their value? Using an empty number line, scholars first locate the position of the difference, sum, product, and quotient of two unknown integers. Later problems mix operations as well as add...