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...

Within collaborative groups, scholars factor a degree six polynomial. They can factor the polynomial using many different strategies — a great way to prompt mathematical discussion.

Solving problems about pen and paper with systems of equations ... or is it the other way around? In the lesson, learners first interpret expressions and use equations in two variables to solve problems about notebooks and pens. They...

Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...

Do your classes truly understand the distributive property? Use a demonstrative lesson plan to represent the distributive property in various ways. Learners solidify understanding by creating a geometric pattern for distributive...

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...

After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.

If you can multiply binomials, you can factor trinomials! This is the premise for a lesson on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients of one...

Be ready mathematicians of every level. This lesson leads to the discovery of the zero product property and provides challenges for early finishers along the way. At conclusion, pupils understand the process of using the zero product...

Discover how algebra tiles can help in dividing polynomials. Pupils watch as instructors demonstrate how to use algebra tiles to solve problems involving the division of a quadratic expression by a linear expression. Once they get the...

Students solve problems using PEMDAS. In this algebraic equations instructional activity, students evaluate expressions using real number properties. They play "Math Jeopardy" to reinforce the order of operations.

How many total tiles does it take to tile a table top? Learners apply geometric concepts to determine the number of tiles needed for a specific square table top, and then use the result to create expressions for the number of tiles...

Sidewalk patterns ... it's definitely not foursquare! Learners investigate patterns in sidewalk blocks, write an expression to represent the pattern, and then solve problems using the expressions.

Reinforce number sense with a collection of math lessons for kindergarteners through fifth graders. Young mathematicians take part in hands-on activities, learning games, and complete skills-based worksheets to enhance proficiency...

Change the way you teach about rewriting expressions. A diagnostic task asks learners to transform expressions in different ways. Given two linear expressions and two quadratic expressions, they rewrite them into the indicated forms.

Collaborative discussions around this retail store problem will be taxing. Calculating discount and tax and the order of the operations are used to motivate an opportunity for learners to make a convincing argument using algebraic...

Get your learners ready for distributing with this two-page worksheet full of problems to simplify. The problems include positive and negative numbers that test integer skills, as well as the ability to simplify expressions. Answer key...

Transform your lesson for transforming functions. Scholars transform linear, quadratic, exponential, rational, and trigonometric expressions. They write their expressions to fit specific forms and identify the values of the resulting...

Sixth and seventh graders solve 19 various types of problems related to integers as objects models. They write an integer that corresponds to each letter on a number line and then, arrange the integers from least to greatest. Pupils also...

A lesson plan help scholars identify emotions through facial expressions. After a friendly puppet reads scholars a poem all about feelings, learners act out how they would feel when a specific action happens to them. Participants watch...

What can a middle schooler do in 90 minutes? He can practice using the commutative, associative and distributive properties of addition and multiplication. He can also simplify expressions using the commutative, associative and...

Math really is just one big puzzle waiting to be solved. Show learners that math can be intriguing and provide them with visually engaging problems and puzzles. The focus is on solving simple equations and looking at expressions. 

Four 4s represent the counting numbers. Pupils attempt to write equivalent expressions to as many counting numbers as possible using only four 4s. Scholars then determine whether the same feat is possible using only three 3s.

Learners understand that algebra is a branch of mathematics that uses symbols or letters to represent unknown numbers in problems. They also understand the definition for an algebraic expression. Make sure to click on the Download the...