Practice writing algebraic expressions from written phrases. The objective is to consider two seemingly similar phrases, write them as algebraic expressions, and then simplify using the order of operations. Learners are challenged to...

Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result. 

Interpreting algebraic expressions is a fundamental skill in beginning algebra. This lesson approaches the task in numerous ways. First, learners assess their understanding with a short worksheet on converting between words and...

Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...

Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions. 

Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...

The structure of an expression is a descriptive feature. Learners build a solid understanding of quadratic functions using an analysis of expressions in different forms. The seventh module in a series of nine includes 12 lessons...

There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.

Explore a basic pattern to practice writing expressions. In collaborative groups, learners examine a contextual pattern and write an expression to model it. The task encourages groups to describe the pattern in multiple ways.

A series of six lessons that focus on the importance of journaling and sketching awaits your ninth graders. The lessons get into the intricacies of responding to life experiences and events, the creative process, and an exploration of...

What a great activity. Kids create humorous ceramic character (heads) spikes to enliven a planter. Modern art is full of expressive and exaggerated forms and your class gets to create them out of clay. This would be a lovely activity to...

Factoring doesn't have to be intimidating. Build on prior knowledge of multiplying binomials and factoring simple trinomials to teach advanced factoring of quadratic expressions with a lesson that uses various methods of exploring the...

Your algebra learners will manipulate an expression's form in order to make obvious the value of it increasing, decreasing, or staying the same, when one variable is changed as the others stay constant. Your future physicists'...

Is it possible for a rectangle to have the same area and perimeter? If you disregard units, it happens! In a challenging task, groups work to determine the rectangles that meet these criterion. The hope is that learners will naturally...

Exponent properties can be complicated for learners. A creative lesson seeks to simplify the concept and build a solid understanding. Young mathematicians have the opportunity to create numerous expressions and analyze the simplified...

What do you do with a difficult-to-factor quadratic expression? This lesson provides the answer. Pupils learn a grouping strategy to help factor trinomials. When guess and check seems too tedious, this method is the "works every...

Sponge painting is a technique that is fun for learners of all ages and it can be adapted to fit a variety of skill levels and subjects. Here, little ones use sponges and paint to make geometric patterns. Tip: Sponges can be cut into...

Your statisticians will see that an expression is made up of one or more parts that can be seen as a single entity. Learners give an explanation, in terms of the structure. of the expression and, why it halves in value when n is quadrupled.

Many developmentally disabled students struggle with accurately conveying messages and interpreting those of others around them, especially when they are non-verbal. This lesson contains fun activities and exercises, such as talking with...

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

Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...

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...

(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in...

It seems the post office has run out of stamps! Learners build all the values of postage available if the post office only sells five- and seven-cent stamps. The task provides an opportunity to create an expression in two variables and...