Students subtract monomials and polynomials by combining like terms. In this advanced subtraction lesson, students define the rules and properties for subtraction of polynomials. They apply the rules for addition to help with the rules...

Create a human fraction to learn about division of exponents. Scholars develop the rule for division of exponents by being part of a human fraction to explore and justify the rule. They also consider zero exponents and negative exponents.

Mathematicians practice communicating why the sum of two multiples of a number results in another multiple of that number. Encourage learners to construct a viable argument by applying the distributive property or by drawing a diagram....

To find x, you have to get it by itself, correct? Individuals solve a linear word problem and share their solutions with others that solved the problem in a similar fashion. They then complete a self-assessment on how they feel about...

Identify the identity. Learners first solve equations to find the number of solutions. Scholars then determine if given equations are always, sometimes, or never true, leading to the concept of identities.

Find that slope! This video does an excellent job of demonstrating how to use the slope formula to find the slope of a line using two points. The instructor first reviews the definition of slope of a line, then works three problems using...

Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...

Don't worry, this resource actually exists. Scholars learn about imaginary numbers and work on problems simplifying square roots of negative numbers. As an extension, they research the history of imaginary numbers.

Working independently or in teams, your class practices connecting graphs, formulas and words. This lesson includes a guided discussion about distance vs. time graphs and looking at how velocity changes over time.  

Your business executives choose which of three equivalent forms of a quadratic equation is the most useful for finding various pieces of information in this task centered on a company's profits.

Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value...

Examine food labels to determine percentage of fat and sugar to total calories with middle schoolers. Daily nutritional guidelines are discussed and learners will decide how well their foods fit into a healthy diet. In the provided...

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...

The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...

Your young geologists generate a graph given a table of values from the context of latitude and percent of the earth's surface north of that latitude. The questions in the activity then focus the learners to a deeper understanding of the...

Your young microbiologists will interpret and solve exponential equations in this real-world context task set in a hospital research scenario. Learners think in terms of the functions as well as their rates of change. 

Groups explore illumination with NASA's Lighting Environment Test Facility (LETF) as a context. Using the TI-Nspire app, groups determine the lux equation that models their simulation. They then use the lux equation to...

Amaze your classes with the ability to find side lengths of triangles immediately — they'll all want to know your trick! Learners use the Pythagorean Theorem and special right triangle relationships to find missing side lengths.

Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....

Youngsters become flexible problem solvers with this challenging lesson. If there are 24 square tables in a restaurant, how many customers can be seated at one time? They can use manipulatives or draw pictures to help them find the...

  Explore the connection between a finite graph, a directed graph, and a matrix. Graph lines and identify the relationship of matrices in real-world scenarios. Then use this information to work with a partner to plan and design a...

A new, improved version of the game Battleship? Learners graph linear inequalities on the coordinate plane, then participate in a game where they have to guess coordinate points based on the solution to a system of linear...

Parallel parking might be difficult, but finding parallel lines is fairly simple. In this activity, learners first complete an assessment task involving parallel and perpendicular lines in the coordinate plane. Individuals then take part...

 Introduce learners to what factoring represents and it's relationship to a square with a resource about factoring and the method of area models. The questions are scaffolded to begin with introductory questions and eventually have...