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Flipped Math
Unit 9 Review: Factoring
Make it complete. Pupils work through 16 problems to review factoring. The problems consist of straight factoring of polynomial expressions, solving equations by factoring, and applying factoring to real-world problems.
Flipped Math
Factor Trinomials by Grouping
Help! The leading coefficient is not one. Learners view a video showing a technique to factor trinomials when the leading coefficient is not one. Pupils try a few examples including solving equations by factoring and check their answers...
Mathed Up!
Solving Quadratics by Factorising
Young mathematicians view a video on solving quadratic equations by factoring. They use this skill to complete a worksheet of practice problems — a great way to gauge understanding!
Flipped Math
Factor Trinomials
Is it possible to factor out more? Scholars view a video presentation on factoring second degree trinomials. They learn about the magic X method to keep track of the constant factors. To finish, scholars use the learned method while...
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...
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...
EngageNY
Creating and Solving Quadratic Equations in One Variable
Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...
Mt. San Antonio Collage
Review: Solving Equations
While there are many types of equations to solve, the main focus here is on quadratics. Starting with a quick review of the different methods, learners are guided through the solving process and are challenged to solve higher level...
Willow Tree
Solving Quadratic Equations
Polynomials are full of solutions! Learners understand that the degree determines the number of solutions. Examples show quadratic equations solved by factoring and by using the quadratic formula. A cubic equation is even mixed in for...
EngageNY
Overcoming Obstacles in Factoring
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
Utah Education Network (UEN)
Ch 3: Expressions & Equations I
Express your love of equations! Pupils first learn to write and simplify numerical and algebraic expressions. Then, create and solve two-step equations. The progression is a great way to introduce the concept slowly.
CK-12 Foundation
Comparing Methods for Solving Quadratics: Comparing Methods to Solve a Quadratic
Determine the quickest process for solving quadratics. Pupils compare the number of steps in the process of solving quadratics using three different methods. Scholars determine which situations lend themselves to the different solving...
Flipped Math
Multi-Step Factoring
Bring all the factoring together. Pupils view a video presentation that shows how to combine all the factoring techniques from Unit 9 together to factor more complex polynomials. Learners practice with three items within the presentation...
EngageNY
The Special Role of Zero in Factoring
Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 1)
Factoring doesn't have to be intimidating. Build on prior knowledge of multiplying binomials and factoring simple trinomials to teach advanced factoring of quadratic expressions with a lesson that uses various methods of exploring the...
Concord Consortium
An Algebraic Oversight
Tackle a common misconception using a performance task. Dividing by a variable to eliminate a variable may seem like a good idea, but simplifying the variable eliminates solutions as well. Learners develop algebraic and graphical support...
Flipped Math
Zeroes of Polynomials
Zero in to find the correct answer. Scholars find out how to solve a polynomial equation by factoring to find the zeroes. Learners use their knowledge of factoring polynomials and solving linear equations to find all of the solutions and...
CK-12 Foundation
Prime Factorization: Chocolate Chip Factoring
An interactive resource challenges mathematicians to show what they know about prime factorization. Five multiple-choice, true or false, and discussion questions use chocolate chip cookies to set a real-world application of the...
Flipped Math
Greatest Common Factor
Break it down to solve it. Learners watch a video on how to factor out the greatest common factor for algebraic expressions. They see how to use factoring and the zero product property to solve polynomial equation and practice their...
Mathematics Assessment Project
Solving Quadratic Equations
Scholars first complete an individual assignment using a quadratic equation to model the movement of a bus around a corner. Learners then discuss their solutions with classmates and analyze the provided sample responses.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
EngageNY
Dividing by (x – a) and (x + a)
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.
Math Guy
Algebra 1 Practice Test
The worksheet is great but the answer key is fantastic! This practice test focuses on quadratics and polynomials. Learners are expected to be able to simplify and factor expressions and solve equations. The best part is the answer key...
EngageNY
Deriving the Quadratic Formula
Where did that formula come from? Lead pupils on a journey through completing the square to discover the creation of the quadratic formula. Individuals use the quadratic formula to solve quadratic equations and compare the method to...