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Curated OER
Magic Squares, Simultaneous Equations, Hill Walking, and Diophantine Equations
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...
EngageNY
Recognizing Equations of Circles
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 +...
Curated OER
Two Squares are Equal
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...
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.
EngageNY
A Focus on Square Roots
Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions.
Curated OER
Completing the Square
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.
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...
EngageNY
Writing Equations Using Symbols
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...
EngageNY
Writing the Equation for a Circle
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...
Curated OER
Solving Applications Using Quadratic Equations
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.
Curated OER
Solving Quadratic Equations
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...
Curated OER
Perimeters of Squares and Rectangles
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...
Illustrative Mathematics
Solving Equations
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...
Flipped Math
Graphing Functions to Solve Equations
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...
Curated OER
Test Chapter 6 - Algebra II: Quadratic Equations
For this quadratic equations worksheet, students solve 15 quadratic equations. Students factor, complete the square, and use the quadratic formula to solve quadratic equations.
Curated OER
Quadratic Equations
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.
CK-12 Foundation
Equations of Circles: The Sea of Happiness
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...
EngageNY
Solving Quadratic Equations by Completing the Square
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...
Inside Mathematics
Magic Squares
Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra.
EngageNY
Solving Equations with Radicals
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...
EngageNY
Solving Basic One-Variable Quadratic Equations
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...
Charleston School District
Review Unit 5: Equations
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,...
EngageNY
Completing the Square (part 1)
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...
EngageNY
Solving Radical Equations
Learners solve complex radical equations. Solutions vary from one, two, and none, allowing pupils to gain experience solving a variety of problems.