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Lesson Plan
EngageNY

Creating and Solving Quadratic Equations in One Variable

For Students 9th - 10th Standards
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...
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Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 9th - 11th
Students factor trinomials using specific factoring methods. In this algebra instructional activity, students factor equations using the difference of squares and foiling. They play a game to enhance their understanding of factoring.
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Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 9th - 11th
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.
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Lesson Plan
Curated OER

Multiply Polynomials

For Teachers 9th - 11th
Learners solve polynomial problems. In this algebra lesson, students multiply polynomial equations using FOIL and quadratic formula. They complete the square and factor by grouping.
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Lesson Plan
Curated OER

Graphing Polynomials

For Teachers 9th - 11th
Students graph polynomial equations using different methods. In this algebra lesson, students identify the different ways the x and y values relate in a graph. They solve for x by finding the zero's of the polynomials.
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Lesson Plan
Curated OER

10-4 Practice: Factoring Differences of Squares

For Teachers 8th - 10th
In this practice worksheet, students factor the differences of squares and identify prime expressions. Polynomials contain one or more variables, with exponents. Students complete 42 problems. An answer key is provided.
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Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 9th - 11th
Students factor trinomials using algebra tiles and blocks. In this algebra lesson, students complete a trinomials station activity. They work backwords to find their answers and discuss their steps in a group.
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Lesson Plan
Curated OER

Quadratic Equations and Functions

For Teachers 8th - 11th
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree.  Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few word...
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Lesson Plan
Curated OER

Worksheet #11: Dividing Polynomials

For Teachers 9th - 10th
For this multiple choice polynomial worksheet, students complete 20 problems involving division of polynomials and reduce them to their lowest terms.
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Lesson Plan
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Illustrative Mathematics

The Missing Coefficient

For Teachers 10th - 12th Standards
This activity highlights the use of the remainder theorem to solve for the unknown coefficient of a specified polynomial when given one of its factors. Use this single problem as a warm-up exercise, a quick check-in at the end of a...
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Lesson Plan
Curated OER

Addition and Subtraction of Rational Expressions

For Teachers 8th - 11th
In this adding and subtracting rational numbers worksheet, students add and subtract 20 sets of fractions with polynomial denominators. Students compute common denominators.
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Lesson Plan
Curated OER

Using Electronic Manipulatives in Multiplication

For Teachers 9th - 11th
Factor polynomials using electronic manipulatives. Your class will create a spreadsheet in excel and use it to multiply and perform basic operations and solve problems correctly. They create a visual to go along with each multiplication...
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Lesson Plan
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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. 
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Lesson Plan
Curated OER

Functions and Roots

For Teachers 9th - 10th
In this function worksheet, students factor polynomials, or use the FOIL method, to simplify polynomials and determine the roots. This three-page worksheet contains ten problems. Explanations and examples are provided.
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Lesson Plan
Curated OER

Worksheet Chapter 6: College Prep Algebra

For Teachers 9th - 12th
In this algebra worksheet, students perform a variety of operations. They factor polynomials, solve algebraic equations, identify the GCF, and solve real life word problems. Twelve of these 100 problems are real life word problems.
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Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 8th - 11th
Students factor trinomials using specific steps. In this algebra lesson, students factor polynomials following the steps on a smart lesson. They review important vocabulary to help with solving the problems.
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Lesson Plan
Curated OER

Multiplying Binomials - FOIL I

For Teachers 9th - 10th
In this multiplying binomials worksheet, students use the FOIL method to solve given binomial equations. The product of each equation is listed contains squared exponents. Students complete 32 binomial equations.
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Lesson Plan
Curated OER

Volumes of Rectangular Prisms

For Teachers 9th - 12th Standards
Students determine the volume of a rectangular prism. They then maximize and minimize the volume given variable side lengths.  Finally, they factor the volume equation to determine the side lengths.
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Lesson Plan
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EngageNY

Equivalent Rational Expressions

For Students 10th - 12th Standards
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
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Lesson Plan
Curated OER

Quadratic Rules and Graphs

For Teachers 9th - 11th
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.
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Lesson Plan
Curated OER

Algebra I: Multiplying Polynomials and Factoring

For Teachers 8th - 12th
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...
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Lesson Plan
EngageNY

Graphing Quadratic Functions from Factored Form

For Students 9th - 10th Standards
How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson plan that makes a strong connection to the symmetry of the graph and its key features before individuals...
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Lesson Plan
Curated OER

Unit Plan On Quadratic Equations

For Teachers 9th - 12th
Students explore a variety of ways of solving quadratic equations. Students choose from graphing, factoring, finding square roots, completing the square and using the Quadratic formula. They ponder in the end on polynomial equations.
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Lesson Plan
Curated OER

Solving Algebraic Expressions

For Teachers 7th - 8th
Students simplify equations and expressions. In this algebra lesson, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.

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