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.
Mathematics Assessment Project
Sidewalk Stones
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...
Curated OER
Quadratic Equations
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...
Curated OER
Equations With Radical Expressions
Pupils solve systems of equations with radical expressions. After reading real life situation, they translate the problem into algebraic expressions. As a class, students solve quadratic equations and inequalities by graphing and...
Curated OER
Is Your Square Complete?
Students practice solving quadratic equations using a form called Complete the Square.
Curated OER
Factorize Using Formula
In this algebra worksheet, students factor equations using the difference of squares formula. They solve quadratics by factoring. There are 6 questions with an answer key.
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...
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.
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,...
Los Angeles County Office of Education
California State Standards: Algebra I
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a variety of ways to...
Curated OER
Quadratic Rules and Graphs
Students identify the properties of quadratic equations. For this algebra lesson, students find the vertex and intercepts of a parabola. They factor quadratics and identify the zeros of the equations.
Curated OER
Solving Equations Reducible to Quadratic: Extra Practice 34
In this math worksheet, learners 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
Representing Quadratics
Young scholars represent quadratic equations using different methods. In this algebra lesson, students solve quadratics using substitution, elimination and graphing. They relate quadratics to the real world.
Curated OER
Factoring Quadratic Trinomials
In this factoring trinomials worksheet, 9th graders solve and complete 36 various types of problems. First, they write each trinomial in factored form. Then, students write all of the factor pairs of the third term and circle the pair...
Curated OER
Connecting Factors and Zeros
In this Algebra II lesson, young scholars explore the connection between the factored form of a quadratics and the zero of a function. Students use a graphing calculator to verify factoring numerically and graphically.
Curated OER
Graphs of Quadratic Equations
In this graphs of quadratic equations instructional activity, 9th graders solve and complete 9 different types of problems. First, they find the x- and y-intercept of each equation by using the quadratic formula. Then, students find the...
West Contra Costa Unified School District
Investigating the Discriminant
When is finding the discriminant enough? Using the quadratic formula helps find solutions to quadratic equations, but there are times when just using the discriminant is appropriate. Use this algebra II lesson to help classes see the...
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
Noyce Foundation
Miles of Tiles
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...
Curated OER
College Level Study Guide
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Target E
Pupils rewrite expressions in equivalent forms to identify key features. They use the vertex and factored forms of quadratic expressions to identify the extrema and intercepts. To finish the installment of the Claim 1 Item Slide Show...
Curated OER
Factoring Trinomials
Students factor trinomials and other quadratic functions. In this algebra lesson, students solve trinomials containing negative and positive coefficients. They factor quadratics of difference squares as well as regular polynomials.
Curated OER
Simplify Rational Expressions
In this simplifying rational expressions worksheet, students solve 18 rational expression problems. Students find common denominators and factor quadratics to simplify rational expressions.
Illustrative Mathematics
Springboard Dive
Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...