EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 2)
What do you do with a difficult-to-factor quadratic expression? This lesson provides the answer. Pupils learn a grouping strategy to help factor trinomials. When guess and check seems too tedious, this method is the "works every time"...
Illustrative Mathematics
An Integer Identity
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
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...
Curated OER
Introductory Algebra Chapter 10 Review
In this math worksheet, students solve the problems for the quadratic equations. They factor the equations and determine the probability of the two solutions.
Curated OER
Model Data with Quadratic Functions
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
Curated OER
Is Your Square Complete?
Young scholars practice solving quadratic equations using a form called Complete the Square.
Curated OER
Vertex and Factored Form of Quadratic Functions
High schoolers graph quadratic equations. In this algebra lesson, students solve quadratic equations by factoring. They identify the end behavior of the graph.
EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
EngageNY
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra.
Curated OER
Mixed Factoring Review
Learners solve quadratics by factoring. In this algebra lesson, students factor quadratic equations using two different methods. They solve the equations and graph using the intercepts.
Curated OER
Factoring Trinomials
Learners factor trinomials using patterns and their TI to graph their results and make predictions through this lesson. This is accomplished by solving quadratic equations through FOIL and algebra tiles.
Curated OER
Elementary Algebra Study Guide
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
Curated OER
Graphs of Quadratic Functions Section 11.6
In this graphing worksheet, students graph quadratic functions. They identify the maximum and minimum value of the function, determine the line of symmetry, and locate the vertex. Coordinate planes are provided for each function. There...
Curated OER
Factoring
High Schoolers engage in a study of quadratic functions and focus upon the finding of equivalence and its connection between functions. They also practice factoring using the FOIL method while manipulating the equation. The lesson also...
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 plan, they should be able to change any quadratic equation into vertex form.
Curated OER
Quadratic Rules and Graphs
Students identify the properties of quadratic equations. In this algebra lesson, students find the vertex and intercepts of a parabola. They factor quadratics and identify the zeros of the equations.
Curated OER
Representing Quadratics
Students represent quadratic equations using different methods. In this algebra lesson plan, students solve quadratics using substitution, elimination and graphing. They relate quadratics to the real world.
Curated OER
Quadratics Equations
In this algebra worksheet, students define the equations and discuss how many and what kinds of roots there will be. There are 6 questions dealing with roots, complex numbers and quadratics.
Curated OER
Chapter 5 Solving Problems
Students explore the concept of algebra topics. In this algebra topics activity, students solve linear and quadratic equations. Students solve systems and factor equations. Students practice problems involving perfect square trinomials...
Curated OER
Solving Equations Reducible to Quadratic: Extra Practice 34
In this math worksheet, students solve problems involving radicals in six problems. The other ten problems require students to factor quadratic equations and solve for the given variable. Two problems involve negative exponents.
Curated OER
Explore Graphs and Factors
Pupils graph the factors of a quadratic as linear equations and graph the parabolic equation in factored form. Also, they investigate the relationship between the x-intercepts of the lines and the zeros of the parabola.
Curated OER
Using CAS and algebra tiles with Expanding and factoring trinomials
Ninth graders investigate multiplication of binomials and factoring of trinomials. In this Algebra I instructional activity, 9th graders compare and contrast expansion and factoring using algebra tiles and a TI-89.
CK-12 Foundation
Zero Product Principle
Some lessons feature videos, some interactive practice problems, and some have notes and activities. This comprehensive look at factoring and solving polynomial equations using the zero product principle has all of this and more. Though...
Curated OER
Algebra I: Multiplying Polynomials and Factoring
Students use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve quadratic...