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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
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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

Factoring Trinomials

For Teachers 8th - 11th
Young scholars 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

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

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
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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. In 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 that makes a strong connection to the symmetry of the graph and its key features before individuals write...
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Lesson Plan
Curated OER

Unit Plan On Quadratic Equations

For Teachers 9th - 12th
High schoolers 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 plan, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.
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Lesson Plan
Curated OER

Worksheet Chapter 5 College Prep Algebra

For Teachers 10th - 12th
In this algebra worksheet, students evaluate algebraic expressions, simplify exponents, write numbers in scientific notation, perform division of equations, and find the area of given problems. This worksheet contains 75 problems and an...
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Lesson Plan
Curated OER

The Case of the Missing Middle Term

For Teachers 9th - 12th
Students examine the difference of squares equation, and multiply binomials using the FOIL method. They complete the Case of the Missing Middle Term worksheet.
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Lesson Plan
Center for Mathematics and Technology

Whole Numbers: Using an Area Model to Explain Multiplication

For Teachers 3rd - 4th Standards
There are many ways to work through a multiplication problem. Using an area model, kids complete several worksheets with different types of multiplication problems, including multiplying by ten, and explain how the new strategies differ...
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Lesson Plan
Curated OER

Rational Expressions: Simplifying

For Teachers 8th - 10th
This two-day lesson will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The lesson contains powerpoint presentations, worksheets, and answer key.
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Lesson Plan
Virginia Department of Education

Rational Expressions

For Students 9th - 12th Standards
Demonstrate the progression of operations with rational expressions through a multi-day lesson, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational expressions. They learn...
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Lesson Plan
Curated OER

Dividing Expressions

For Teachers 8th - 12th
In this algebra worksheet, students divide expressions and utilize exponent rules. There are 7 questions with multiple parts.
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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...
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Lesson Plan
Curated OER

Applications Of Rational Functions

For Teachers 9th - 12th
Young scholars engage in a lesson that is about relational functions with the application of methods to real life problem situations. They use the examples found in the lesson for the purpose of practice during guided instruction....
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Lesson Plan
Curated OER

Model Data with Quadratic Functions

For Teachers 8th - 11th
Young scholars model data using quadratic equations. In this algebra instructional activity, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
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Lesson Plan
Curated OER

Algebra I: A Draining Swimming Pool

For Teachers 8th - 12th
Learners analyze and develop symbolic representations to describe the amount of water left in a pool being pumped out after a given amount of time, with various pumping rates and initial quantities of water in the pool.
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Lesson Plan
Annenberg Foundation

Annenberg Learner: The X Factor Trinomials and Algebra Tiles

For Teachers 9th - 10th
This is the first of two algebra lesson plans from Annenberg Learning. Find plans to teach students how to factor trinomials. This lesson plan is part of a larger workshop for teachers that offer insights into teaching algebra.