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EngageNY
Existence and Uniqueness of Square Roots and Cube Roots
Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...
University of Utah
Integer Exponents, Scientific Notation and Volume
A one-stop resource for exponents, square and cube roots, scientific notation, and volume formulas guides learners through properties of exponents. As they learn to apply these properties to operations with scientific notation,...
Virginia Department of Education
Simplifying Square Roots of Whole Numbers
Simplify your life by using a resource on simplifying square roots. Pupils review square roots and calculate values of given radical expressions using a calculator. The lesson concludes by having them consider the results to develop the...
Flipped Math
Add and Subtract Radicals
Radically apply old skills to a new concept. Pupils learn how to add and subtract radicals by applying previously learned skills of simplifying radicals and combining like terms. The video shows examples with both square and cube roots....
Charleston School District
Solving Exponent Equations
Show your class that not all equations are linear. The lesson asks learners to solve simple quadratic and cubic equations using square and cube roots. Problems include equations with no solutions.
Curated OER
Square Roots and Quadratics.
In this algebra worksheet, learners solve for the square root and calculate and solve roots. There are 10 questions with an answer key.
Centre for Education in Mathematics and Computing
Roots and the Pythagorean Theorem
In this roots and the Pythagorean Theorem learning exercise, learners solve 15 different types of problems related to square roots and applying the Pythagorean Theorem. They first determine the square root of each number and then, the...
EngageNY
Graphing Cubic, Square Root, and Cube Root Functions
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...
Charleston School District
Evaluation of Roots
You mean the square root of five and five don't have the same value? Learners estimate the value of irrational roots. As they practice estimating the value, they increase their understanding of roots. The lesson is the fourth in a series...
Mathed Up!
Factors, Multiples, and Primes
Reinforce the concept of factors, multiples, and prime numbers with a 16-problem practice worksheet. Eight pages offer a variety of problem solving opportunities with clear objectives and tips for successful completion.
EngageNY
Rational Exponents—What are 2^1/2 and 2^1/3?
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...
Curated OER
Powers and Roots
Eighth graders determine the square and cube roots of given numbers in this math instructional activity. They determine the missing number in a sequence. Additionally, they calculate the interior and exterior polygon angles.
McGraw Hill
Adding and Subtracting Radicals
Help remove some of the confusion surrounding the addition and subtraction of radical numbers with this set skills practice problems. Taken straight from the pages of a math text book, this resource provides learners with...
EngageNY
Roots of Unity
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....
EngageNY
Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways
Need a real scenario to compare functions? This lesson plan has it all! Through application, individuals model using different types of functions. They analyze each in terms of the context using the key features of the graphs.
EngageNY
Stretching and Shrinking Graphs of Functions
Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections.
West Contra Costa Unified School District
Graph Square Root and Cube Root Functions
Scholars first learn to graph square root and cube root functions by creating a table of values. They then learn how to graph functions from transformation of the graphs of the parent square root and cube root functions.
University of Utah
Rational and Irrational Numbers
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...
EngageNY
Dividing by (x – a) and (x + a)
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.
EngageNY
Properties of Exponents and Radicals
(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...
EngageNY
Comparing Irrational Numbers
Build on your classes' understanding of irrational numbers by comparing their values. The 13th lesson in the 25-part module has individuals estimate values of both perfect and non-perfect roots. They finish by graphing these numbers on a...
Curated OER
Easy Worksheet: Simplifying Radicals
In this simplifying radicals worksheet, students solve 18 short answer problems. Students simplify radicals of non-perfect square numbers. Students find the square and cube roots of positive rational numbers.
Del Mar College
Exponential and Radical Rules
So many rules and so little time. Make it easy and provide all the exponent and radical rules in one place as an easy reference guide. All of the properties come with several examples to show how the rules apply to different problems.
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target B
Develop a radical approach to covering the Smarter Balanced targets for 8th grade math with a presentation that helps further develop math skills. Seven sample items demonstrate the expectation for working with integer exponents,...