The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors. 

Zero in on your pupils' understanding of solving quadratic equations. Spend time developing the purpose of the zero product property so that young mathematicians understand why the equations should be set equal to zero and how that...

Build upon prior equation writing experience to create more complicated equations. Lesson one in a 33-part unit builds upon the class members' sixth and seventh grade experience of writing linear equations. Several examples...

How many ways can you represent solutions to an equation? Guide your class through the process of solving equations and representing solutions. Solutions are described in words, as a solution set, and graphed on a number line....

The amount of tax and tip on a restaurant bill is a common example used in percent problems. Here, learners only know the total amount paid, and they need to figure the itemized amounts. Solutions using a ratio table, using knowledge of...

Mixture problems are a classic in first-year algebra. Unfortunately, many learners approach them in a formulaic fashion and don't truly understand the meaning of the algebraic expressions they are using. Here, the questions are not the...

Students use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve quadratic...

Learners evaluate the area of a picture frame and write algebraic representations. In this algebra lesson, students work in groups to find the area of different picture frames.  Learners then write algebraic expressions and present...

What do yo-yos and pennies have to do with linear equations? Learn about writing and solving linear equations while considering the Yo-Yo Problem and Penny Pattern Exploration from the High School Math Project. Learners utilize algebra...

In this math worksheet, students solve 6 open sentences and graph solutions using a line graph. Students then express 2 story problems in terms of inequalities. Students then write open sentences for 2 graphs.

Harry needs a new wardrobe. Mathematicians watch a Cyberchase episode in which Harry uses a $100 budget for a fashion update. This anticipatory video prepares your class for a lesson in the use of two variables to solve real-world...

Students solve linear equations using word problems. For this algebra lesson, students rewrite the word problems by identifying the important information. They make a table and graph their results to analyze it.

Ninth graders solve linear equations. In this algebra lesson, 9th graders discuss the steps for solving linear equations and work through examples with the teacher. They work in pairs to create their own linear equation and complete a...

Students simplify linear equations. In this algebra lesson, students solve equations by addition and subtraction. They solve one step equations to practice isolating the variable on one side of the equation.

Students graph and solve equations and expressions. In this algebra lesson, students use simple factorization to simplify expressions. They review for an exam by doing basic algebra.

Seventh graders simplify algebraic expressions using multiplication and division to combine like items and solve for the variable. They work with inverse operations to solve equations with guided practice. Students complete various...

In this math worksheet, middle schoolers find the solutions to the problems using the quadratic formula. They also create the algebraic expressions.

In this math worksheet, students solve the problems after translating them into algebraic expressions. Special attention is paid to converting the measurement units.

Provide high schoolers with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first solve using...

Provide guidance and practice of the useful skill: solving rational equations using both an algebraic and graphical approach. Pupils solve increasingly more difficult rational equations using algebraic methods. After, they study steps to...

Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...

Use tables, graphs, and substitution to solve systems of linear equations. An envelope of sample problems is passed around the classroom, and each learner has the opportunity to solve the system in the envelope. This is a great way to...

Sixth graders connect numerical expressions to geometric area. They first complete an assessment task requiring them to identify area models for numerical expressions. Learners then participate in an activity to match area models to...

Your Algebra learners analyze and solve an exponential equation in this popular, real-life model of the cooling of a liquid.