The Pythagorean Theorem makes an appearance yet again in this activity on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity. 

Explore the concept of this perfect square trinomial and difference of squares lesson. A hands-on activity that uses paper rectangles and squares to illustrate the perfect-square trinomial and difference of squares formulas.

Graphing doesn't need to be tedious!  When pupils understand key features and transformations, graphing becomes efficient. This lesson connects transformations to the vertex form of a quadratic equation. 

Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions. 

Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...

Students factor trinomials using specific factoring methods. In this algebra lesson, students factor equations using the difference of squares and foiling. They play a game to enhance their understanding of factoring.

Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.

Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication. 

Students simplify equations and expressions. In this algebra lesson, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.

Students solve and graph quadratic equations. In this algebra lesson plan, students perform basic operation using addition, subtraction, multiplication and division. They compute the quadratic formula.

Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...

Learners solve problems involving electric charges and force. In this physics lesson, student solve word problems using addition and subtraction of vectors. They identify the direction represented by a vector as it relates to an electric...

Is there a correlation between the number of coffee shops and the amount of crime in a given area? In this quick exercise, your class will examine the data, interpret the results, and discuss their conclusion. Concepts covered include...

A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...

Students simplify rational expressions. In this algebra lesson, students solve rational equations using multiplication and division. They apply properties of exponents and negative exponents to solve the problems.

Students perform functional analysis. In this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.

Learners convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.