Interactive
CK-12 Foundation

Solving Problems by Factoring: Building a Doghouse

For Students 8th - 10th Standards
Building a doghouse is easier with a little mathematical help! Young scholars use sliders to adjust the length of the doghouse and watch as it affects the width and area. They then answer questions that help them discover the question...
Lesson Plan
Curated OER

Vertex and Factored Form of Quadratic Functions

For Teachers 9th - 12th Standards
Students graph quadratic equations. In this algebra lesson, students solve quadratic equations by factoring. They identify the end behavior of the graph.
Lesson Plan
Curated OER

Quadratic Equations and Binomial Square Theorem

For Teachers 9th - 11th
Students factor quadratic equations. In this algebra lesson, students apply the binomial square theorem to solve quadratics. They complete the square and use the complex number system to solve for the roots.
Worksheet
Curated OER

Operations on Polynomials

For Students 9th
In this Algebra I activity, 9th graders add, subtract, and multiply polynomials. Students factor polynomials and solve quadratic equations. The six page activity contains thirty problems. Answers are not provided. 
Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 9th - 11th
Learners factor trinomials and quadratics. In this algebra lesson plan, students solve quadratics when the leading coefficient is one. They use a special factoring pattern to solve the trinomial.
Worksheet
Curated OER

Quadratic Equations-Factoring

For Students 4th - 6th
In this quadratic equation worksheet, students factor to solve a set of 10 problems. Answers are included on page 2; a reference web site is given for additional activities.
Worksheet
Curated OER

Chapter 10 - Objective 1.1 Quadratic Equation

For Students 11th - 12th
In this quadratic equation worksheet, students solve equations by factoring. They write quadratic equations that have a solution with a given pair of numbers. This one-page worksheet contains ten problems.
Lesson Plan
Curated OER

The football and Braking Distance; Model Data with Quadratic Functions

For Teachers 8th - 10th
Students use the quadratic formula to solve application problems. The first problem relates to the path of a football thrown from the top of the bleachers. Students compute the time it will take the football to reach certain heights. In...
Worksheet
Curated OER

Notes to Quadratic Equations

For Students 9th - 12th
In this quadratic equations worksheet, students read notes about graphing, factoring, square roots, completing the square, and the quadratic formula. Students read 2 1/2 pages of notes.
eBook
Rice University

Elementary Algebra

For Students 8th - 10th Standards
Find all the Algebra 1 content in one location. A helpful eBook contains the content typically found in an Algebra 1 course. Concepts range from solving and graphing linear equations to solving and graphing quadratic equations....
Instructional Video16:14
2
2
Flipped Math

Factor Trinomials by Grouping

For Students 9th - 10th Standards
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...
Worksheet
Curated OER

Additional Practice Problems with Skills for Quadratic Functions and Equations

For Students 8th - 9th
Challenge your students' graphing and factoring skills with these sets of problems for quadratic functions and equations. Here, students plot the y-intercept and vertex of 7 parabolas. They factor and solve 9 quadratic equations....
Lesson Plan
Curated OER

Chapter 5 Solving Problems

For Teachers 9th - 12th
High schoolers explore the concept of algebra topics. In this algebra topics lesson, students solve linear and quadratic equations. High schoolers solve systems and factor equations. Students practice problems involving perfect square...
Worksheet
Curated OER

Solving Equations By Factoring

For Students 9th - 12th
In this factoring instructional activity, students solve equations by factoring. Explanations and examples are given prior to the exercise. This two-page interactive instructional activity contains 12 problems with answers.
Lesson Plan
Curated OER

Graphs of Quadratic Equations

For Teachers 6th - 10th
In this math worksheet, students solve the problems that ask for the graph of the parabola. They interpret the quadratic equation for its solutions.
Lesson Plan
Curated OER

Graphs of Quadratic Functions Section 11.6

For Teachers 9th - 11th
In this graphing worksheet, learners 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...
Lesson Plan
Curated OER

Solving Problems Using Quadratic Equations

For Teachers 9th - 11th
In this quadratic equation worksheet, students read short statements and write a quadratic equation to represent the statement. Afterwards, they solve the quadratic equation using factorization. Twelve problems are provided on this...
Worksheet
Curated OER

Solving a System of Equations

For Students 11th
For this Algebra II worksheet, 11th graders determine the solution to a system of one linear and one quadratic equation.  The two page worksheet contains a combination of nine multiple choice and free response questions. ...
Lesson Plan
Curated OER

Elementary Algebra Study Guide

For Teachers 8th - 11th
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...
Lesson Plan
1
1
EngageNY

Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?

For Students 10th - 12th Standards
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. 
Assessment
Mathematics Assessment Project

Sidewalk Stones

For Students 9th - 12th Standards
One block, two blocks, white blocks, gray blocks. In the high school assessment task, learners investigate patterns of sidewalk stones to develop a quadratic expression for each colored block. Young mathematicians then use the expression...
Worksheet
Curated OER

Solving Equations by Factoring

For Students 9th - 11th
In this solving equations by factoring worksheet, students solve and complete 10 different problems. First, they solve each equation using the Zero product property. Then, students define a variable and use an equation to solve the...
Lesson Plan
Curated OER

Quadratic Equations

For Teachers 10th
Tenth graders review algebraic methods of solving quadratic equations. Students discuss several methods of solving quadratic equations. They practice factoring and finding the roots of an equation for solving. A calculator is used to...
Lesson Plan
Curated OER

Is Your Square Complete?

For Teachers 9th - 12th
Students practice solving quadratic equations using a form called Complete the Square.