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Curated OER
Completing the Square
In this completing the square instructional activity, students solve problems by completing the square. They determine the value of the unknown in the binomial. This two-page instructional activity contains 30 problems. Answers are...
Curated OER
Academic Algebra II - 1st Semester Exam
In this solving quadratic equations instructional activity, students solve 60 multiple choice and short answer problems. Students complete the square, factor, multiply, and solve quadratic equations.
Curated OER
Completing the Square
In this completing the square worksheet, students determine the value of the unknown by completing the square. This two-page worksheet contains 18 problems. Answers are provided on the last page.
Curated OER
Vertex Form of Parabolas
Using the method of completing the square, algebra learners rewrite quadratic equations from standard form to vertex form. They will also graph quadratics, stating the vertex and axis of symmetry. Solutions are provided.
Curated OER
Quadratic Equations
In this algebra worksheet, pupils solve 11 quadratic equations for the given variable. Four problems require students to multiply two binomials. The final 5 problems pupils are to solve by completing the square.
Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...
EngageNY
Transformations of the Quadratic Parent Function
Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...
Curated OER
Completing the Square Algebraically
Using TI-Nspire, scholars rewrite quadratic expressions by completing the square. They change the equation into vertex form. By the end of this lesson, they should be able to change any quadratic equation into vertex form.
Cabrillo College
Elementary Algebra
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a...
EngageNY
Does Every Complex Number Have a Square Root?
Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...
CK-12 Foundation
Use Square Roots to Solve Quadratic Equations: Plus or Minus
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...
Curated OER
Discovering Math: Concepts in Algebra
Learners learn that speed is a function of time and distance, a quadratic equation can be used to figure out the path of fireworks, a photographer can use Algebra to figure out how many rolls he can afford if he needs twice as much of...
EngageNY
Graphing Quadratic Functions from the Standard Form
Use context to explain the importance of the key features of a graph. When context is introduced, the domain and range have meaning, which enhances understanding. Pupils use application questions to explore the key features of the graph...
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...
Math Centre UK
Integrating Algebraic Fractions 1
Don't get stuck on the integral when you can incorporate partial fractions. A well-explained guide, there are seven pages and a tutorial video that detail the steps for different types of algebraic fractions.
Curated OER
Factoring Review
For this factoring review worksheet, students factor completely thirty-one problems. This one-page worksheet contains varying factoring problems. Answers are provided.
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.
Curated OER
Solving Quadratic Equations
In this ways to solve quadratic equations activity, learners solve 19 equations using five different methods, then solve four more using the method of their choice.
EngageNY
Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways
Need a real scenario to compare functions? This lesson 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.
Illustrative Mathematics
Placing a Square Root on the Number Line
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...
Curated OER
Quadratic Equations
In this quadratic equations instructional activity, students answer 15 questions about quadratic equations. Students complete the square, use the quadratic formula, write equations in vertex form, and solve quadratic equations by...
Curated OER
Magic Squares, Simultaneous Equations, Hill Walking, and Diophantine Equations
For 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...
Mathematics Vision Project
Structures of Expressions
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
CK-12 Foundation
Factorization of Quadratic Expressions: Algebra Tiles
What does it mean to factor the difference of two squares? The interactive presents an area model of the difference of two squares. Pupils rearrange the model to create a rectangular area. The learners determine the length and width...