(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...

Learners solve complex radical equations. Solutions vary from one, two, and none, allowing pupils to gain experience solving a variety of problems.

Provide high schoolers with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first...

Make the irrational rational again! Continuing the theme from previous lessons in the series, the instructional activity relates the polynomial identity difference of squares to conjugates. Learners develop the idea of a conjugate...

Investigate rational exponents in this math lesson. Scholars make conjectures about the relationship between rational exponents and radicals. They then use their Ti-Nspire to simplify rational exponents.

Uncover the relationship between factoring quadratics and higher degree polynomials. Learners develop their factoring skills through repetition. A comprehensive lesson begins with quadratics and shows how to use the same patterns to...

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.

Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...

Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...

The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their...

Explore the process of simplifying square roots through an analysis of perfect squares. The fourth lesson of 25 expects individuals to find the perfect square factors in each radicand as a means of simplifying. The perfect square factor...

Discover a new application of the Pythagorean Theorem. Learners prove and apply the converse of the Pythagorean Theorem in the 17th lesson in a 25-part series. The examples ask learners to verify right triangles using the converse...

The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...

Students differentiate between perfect roots and rational roots. In this algebra lesson, students perform operation using roots. They add, subtract, multiply and divide rational expressions.

Apply the Pythagorean Theorem to coordinate geometry. Learners find the distance between two points on a coordinate plane by using the Pythagorean Theorem. The vertical and horizontal change creates a right triangle, which allows...

Students find patterns relating the lengths of the sides of squares to their areas. In this squares and square roots lesson, students draw squares and find their areas. They estimate the sides of square when given the area. Students use...

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

Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...

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....

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...

Would you rather have a million dollars or 1 x 10^6 dollars? To find the answer to this question, class members first complete an assessment task converting numbers between decimal notation and scientific notation. They then take...

Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex. 

Students solve problems using ratios and proportions. In this algebra lesson, students verify proportions, solve for the unknown and use real life scenario to model proportion.

Young scholars model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.