The Pythagorean Theorem makes an appearance yet again in this lesson 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 plan. A hands-on activity that uses paper rectangles and squares to illustrate the perfect-square trinomial and difference of squares formulas.

Solve polynomial equations of degree using different theorems and apply the zero factor theorem for unknown numbers in a quadratic equation. Also use the discriminate to find out the kind of solutions to given quadratic equations shown.

Young scholars examine the difference of squares equation, and multiply binomials using the FOIL method. They complete the Case of the Missing Middle Term worksheet.

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. 

Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....

Here is a fabulous lesson on subtracting decimals with different numbers of decimal places. There are teacher-led activities for learners to engage in, including, modeling decimal subtraction through decimal squares, looking at place...

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...

A teacher guided lesson on perfect squares and factoring. They discuss perfect squares, observe the expansion steps for finding the product, and practice solving problems. They complete a worksheet on perfect squares and factoring.

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...

Add an outstanding resource to your repertoire. The first installment of a 36-part module looks at the relationship between addition and subtraction through an activity using tape diagrams. Pupils develop the identities w – x + x =...

Fifth graders devise and use problem solving strategies to solve a magic square arrangement. In small groups they explore various strategies including non-algebraic and algebraic techniques, write an explanation of their solution, and...

Factor in different strategies in a lesson for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they can...

Students observe and solve examples of equations involving radicals. They complete a Doing Battle With Radical Equations worksheet and checklist.

In this algebra worksheet, learners solve 16 problems involving imaginary numbers. In the first three, students find the square root of 3 negative numbers in terms of i. Nine problems involve addition, subtraction, multiplication and...

Students practice solving quadratic equations using a form called Complete the Square.

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.

Explore the concept of the equals symbol. In this mathematical symbols lesson, learners discover the meaning of the equals sign (symbol). They also construct addition and subtraction sentences to understand the concept of equal parts.

Take any number, multiply it by five, and then divide by five. Did you end up with the original number? In the same vein as the previous lesson, pupils discover the relationship between multiplication and division. They develop the...

High schoolers examine and discuss typical linear equations, and the difference between a linear and nonlinear equation. They observe examples of linear equations and complete a worksheet.

Students solve single variable equations. In this missing addend lesson, students solve problems with missing addends. Students create a function box to help study numerical reasoning.

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.

Fourth graders complete a worksheet that asks them to order operations within a mathematical expression. students evaluate the expressions in the correct order using mental math and paper. The results are recorded on the worksheet.