Handout
Charleston School District

Evaluation of Roots

For Students 8th Standards
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...
Lesson Plan
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Curated OER

Going Back to Your Roots

For Teachers 9th - 12th Standards
Who doesn't need to know the Fundamental Theorem of Algebra? Use the theorem to find the roots of a polynomial on a TI calculator. The class explores polynomials with one solution, no real solutions, and two solutions. This less lesson...
Lesson Plan
Curated OER

Powers and Roots

For Teachers 8th - 10th
Eighth graders determine the square and cube roots of given numbers in this math lesson. They determine the missing number in a sequence. Additionally, they calculate the interior and exterior polygon angles.
Interactive
CK-12 Foundation

Square Roots and Irrational Numbers: Estimating Radicals

For Students 8th - 10th
Try out a resource using triangles to estimate radicals. An interactive app allows learners to approximate some irrational numbers involving square roots. They find the two consecutive numbers that an irrational number lies between...
Worksheet
Curated OER

Number Sense and Numeration: Multiples, Factors and Square Roots

For Students 6th - 8th
A great resource for any math teacher covering multiples, factors or square roots; this worksheet walks young mathematicians through the logic behind factoring and square roots with a systematic set of problems which gradually increase...
Interactive
CK-12 Foundation

Evaluation of Square Roots

For Students 8th - 10th Standards
Think outside the box and use an engaging, interactive app that shows the relationship between square roots and squares using an actual square. Pupils find that moving a slider increases the side length of a square and its associated area.
Lesson Plan
Curated OER

Who am I? Find A Polynomial From Its Roots

For Teachers 9th - 12th
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
PPT
Curated OER

Exploring Square Roots and the Pythagorean Theorem

For Teachers 5th - 6th
For learners of algebra, this presentation could be of good use. They are coached on the basics of how to calculate square roots and perfect squares, and they are shown the intriciacies of the Pythagorean Theorem. There are many practice...
Lesson Plan
West Contra Costa Unified School District

Square and Square Roots

For Teachers 7th - 9th
Root for your pupils to learn about roots. Young mathematicians first review the meaning of squares and square roots. They then use this knowledge to simplify square roots of monomials with variables.
Lesson Plan
EngageNY

Square Roots

For Students 8th Standards
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
Worksheet
Curated OER

Number Sense and Numeration: Square Roots

For Students 8th
In this square roots worksheet, 8th graders solve 14 different types of problems to include determining the square root of a number of problems, determining the area of a rectangle and the length of a side of a square with the same...
Interactive
CK-12 Foundation

Use Square Roots to Solve Quadratic Equations: Plus or Minus

For Students 9th - 12th Standards
Get two answers from a single equation. Pupils use the interactive to take the square root of nine and see the graphical representation of the two solutions. Individuals realize that solutions to quadratic equations that are solved by...
Lesson Plan
Curated OER

Going Back to Your Roots

For Teachers 9th - Higher Ed Standards
Investigate the Fundamental Theorem of Algebra and explore polynomial equations to determine the number of factors, the number of roots, and investigate multiplicity of roots.
Lesson Plan
Curated OER

Principles of Square Roots Lesson Plan

For Teachers 8th - 11th
Middle and high schoolers investigate all the different places in math that square root is present. In this geometry lesson plan, pupils discuss square roots as it relates to a right triangle and construction. They go over altitude,...
Assessment
Mathed Up!

Powers and Square Roots

For Students 6th - 8th Standards
Square root and exponential powers are the focus of the assessment worksheets included in a math resource. Young mathematicians answer 10 questions, each with subset questions, involving solving a variety of exponential equations...
Lesson Plan
EngageNY

Existence and Uniqueness of Square Roots and Cube Roots

For Students 8th Standards
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...
Lesson Plan
Virginia Department of Education

Simplifying Square Roots of Whole Numbers

For Teachers 7th - 9th Standards
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...
Lesson Plan
Illustrative Mathematics

Placing a Square Root on the Number Line

For Teachers 7th - 9th Standards
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
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...
Lesson Plan
Curated OER

Simplifying Square Roots

For Teachers 9th - 12th
Discuss the definition for a simplified form for a square root. Middle schoolers analyze different forms of a square root, the Product Property of Square Roots, and complete a worksheet.
Lesson Plan
Curated OER

Exploring Complex Roots

For Teachers 9th - Higher Ed Standards
In exploring the concept of complex roots, students find the axis of symmetry and roots of parabolas.  Then, they discuss what makes a solution complex and how to identify functions with complex roots.
Worksheet
Math Drills

Cubes and Cube Roots

For Students 7th - 10th Standards
Test those cube skills with a 10-page resource of different cube and cube root problems. Each page is split into the two sections, and while some problems may repeat on each version, they are all different and come with their...
Lesson Plan
Curated OER

Watch Your P's and Q's

For Teachers 9th - 12th Standards
Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.
Lesson Plan
EngageNY

Roots of Unity

For Teachers 11th - 12th Standards
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....

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