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
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....
Lesson Plan
EngageNY

Solving Equations with Radicals

For Students 8th Standards
Show learners how to develop a procedure for solving equations using radicals with the fifth lesson of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations. Individuals round out...
Lesson Plan
EngageNY

Comparing Irrational Numbers

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

Radical Equations

For Students 9th - 12th Standards
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...
Lesson Plan
Curated OER

Radical Equations

For Teachers 9th - 12th Standards
This task gives geometry learners practice in solving radical equations in one variable and zeros in extraneous solutions.
Lesson Plan
Mathematics Assessment Project

Representing Functions of Everyday Situations

For Teachers 10th - 12th Standards
Functions help make the world make more sense. Individuals model real-world situations with functions. They match a variety of contexts to different function types to finish a helpful resource.
Lesson Plan
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EngageNY

Dividing by (x – a) and (x + a)

For Students 10th - 12th Standards
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.
Lesson Plan
Curated OER

Carrot Bunch

For Teachers 2nd
Second graders solve a variety of math addition word problems related to planting and cooking carrots. They discuss a story from their math storybook, then read and solve a carrot word problem on a worksheet as a class. Students then...
Lesson Plan
Curated OER

The Five Number Game

For Teachers 3rd - 5th
Learners explain what it means to square numbers. They explain what it means to cube numbers. Students define prime numbers using their own language. They are introduced to the problem by playing one game as a class.
Lesson Plan
Curated OER

Worksheet Chapter 7.1 & 8.1 College Prep Algebra

For Teachers 9th - 12th
In this algebra worksheet, students solve equations through substitution and then solve for an unknown. They simplify division equations containing exponents and two variables and solve radical problems. This worksheet contains a...
Lesson Plan
Curated OER

Quadratic Equations and Functions

For Teachers 8th - 11th
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree.  Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few...
Lesson Plan
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EngageNY

Properties of Exponents and Radicals

For Teachers 9th - 12th Standards
(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...
Lesson Plan
Curated OER

Strong Arm Iteration

For Teachers 7th - 9th
Pupils solve exponential functions and inequalities. In this algebra lesson, students find the roots of equations and use it to graph and evaluate exponential functions. They simplify exponents using the law of exponents.
Lesson Plan
Curated OER

Exercise Set 3.3: Variation

For Teachers 9th - 12th
For this variation worksheet, young scholars solve 26 variation problems. Students determine the missing variable by using joint, direct, or inverse variation.
Lesson Plan
Curated OER

Arithmetic Complex Numbers

For Teachers 10th - 11th
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.