Worksheet
Curated OER

Magic Squares, Simultaneous Equations, Hill Walking, and Diophantine Equations

For Students 9th
In this solving equations worksheet, 9th graders solve and complete 21 various types of problems. First, they use the method shown to find the value of xin each equation. Then, students use an algebraic approach to solve the magic...
Lesson Plan
EngageNY

Recognizing Equations of Circles

For Teachers 9th - 12th Standards
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
Lesson Plan
1
1
Curated OER

Two Squares are Equal

For Teachers 8th - 12th Standards
This problem is sure to get your young mathematicians thinking. The idea sounds simple: one equation, solve it as many ways as you can. This is meant to get at a deeper understanding of solving quadratic equations, including some more...
Handout
Charleston School District

Solving Exponent Equations

For Students 8th - 9th Standards
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. 
Lesson Plan
EngageNY

A Focus on Square Roots

For Students 10th - 12th Standards
Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions. 
Lesson Plan
1
1
Curated OER

Completing the Square

For Teachers 9th - 12th Standards
Solve equations by completing the square. The pupils factor quadratic equations and graph the parabola. They also identify the different terms in the equation and look for patterns.
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

Writing Equations Using Symbols

For Teachers 8th Standards
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...
Lesson Plan
EngageNY

Writing the Equation for a Circle

For Teachers 9th - 12th Standards
Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The lesson then provides an exercise set for learners to...
Lesson Plan
Curated OER

Solving Applications Using Quadratic Equations

For Teachers 8th - 10th
In this solving applications worksheet, students translate word problems to number sentences. They solve the created quadratic equation. This three-page worksheet contains 12 problems.
Worksheet
Curated OER

Solving Quadratic Equations

For Students 11th
In this Algebra II worksheet, 11th graders solve quadratic equations by factoring, completing the square, and the quadratic formula.  Application problems are included.  The two page worksheet contains seventy-two...
Worksheet
Curated OER

Perimeters of Squares and Rectangles

For Teachers 2nd - 4th Standards
If you're looking for some perimeter practice problems for beginners, you've found them! Learners reference an example that takes them through the steps of finding the perimeter of a square or rectangle. Then, they complete nine on their...
Assessment
1
1
Illustrative Mathematics

Solving Equations

For Teachers 8th Standards
If you have two bags with an unknown number of tiles, represented by x, and you add three tiles to get seven total, you can set up a linear equation to represent the problem. Use this example and a few others to demonstrate how to solve...
Instructional Video19:38
2
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Flipped Math

Graphing Functions to Solve Equations

For Students 9th - 10th Standards
Intersections become solutions. Scholars watch a video on using a graphing calculator to find the solution to an equation in one variable. While watching the presentation, pupils practice working some of the examples and compare their...
Worksheet
Curated OER

Test Chapter 6 - Algebra II: Quadratic Equations

For Students 9th - 12th
For this quadratic equations worksheet, students solve 15 quadratic equations.  Students factor, complete the square, and use the quadratic formula to solve quadratic equations.
Lesson Plan
Curated OER

Quadratic Equations

For Teachers 9th - 12th Standards
Using the provided worksheets, students solve equations involving factoring and finding square roots. At the conclusion of the lesson, they discuss the answers and any difficulty experienced in solving the equations.
Interactive
CK-12 Foundation

Equations of Circles: The Sea of Happiness

For Students 11th - Higher Ed Standards
Map this! Help your young mathematicians draw a circular island on a map. Given specifics of the location and size of an island on a map, pupils transform a circle to meet the given requirements. They then determine the location of the...
Lesson Plan
1
1
EngageNY

Solving Quadratic Equations by Completing the Square

For Students 9th - 10th Standards
Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a...
Assessment
Inside Mathematics

Magic Squares

For Teachers 9th - 12th Standards
Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra. 
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
1
1
EngageNY

Solving Basic One-Variable Quadratic Equations

For Students 9th - 10th Standards
Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson that begins with a dropped object example and asks for a solution. This introduction to solving by...
Assessment
Charleston School District

Review Unit 5: Equations

For Students 8th - 9th Standards
It's time for them to show you what they've learned! The review provides a sampling of the different concepts learned throughout the eight-part series. Learners solve equations by combining like terms, applying the distributive property,...
Lesson Plan
EngageNY

Completing the Square (part 1)

For Students 9th - 10th Standards
Avoid the trap of memorizing steps when completing the square with a resources that provides a conceptual approach to completing the square. Learners that are able to recognize a perfect square trinomial are ready to complete the...
Lesson Plan
EngageNY

Solving Radical Equations

For Students 10th - 12th Standards
Learners solve complex radical equations. Solutions vary from one, two, and none, allowing pupils to gain experience solving a variety of problems.