Lesson Plan
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Illustrative Mathematics

Equations of Lines

For Teachers 7th - 9th Standards
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases.  It...
Assessment
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The Bank Account

For Students 10th - 11th Standards
Your algebra learners become bankers for a day as they explore compounding interest and the formula used to calculate the balance in a savings account. Questions guide the learners as they analyze the formula's parts and their connection...
Lesson Plan
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Models with monomials and polynomials

For Teachers 9th - 12th
Students participate in a lesson that focuses on the concepts of combining monomials to make polynomial expressions. They use algebra tiles to complete the exercises in the lesson. This is hands-on learning with successive problem...
Worksheet
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Dividing Monomials

For Students 9th
In this monomials worksheet, 9th graders solve and complete 14 different problems that include dividing various monomial expressions. First, they divide the powers with the same base and subtract the exponents. Then, students simplify...
Lesson Plan
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Using the Distributive Property #5

For Teachers 7th - 8th
In this using the distributive property #5 worksheet, learners simplify 10 algebraic expressions by using the distributive property and combining like terms.
Worksheet
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Complex Numbers

For Students 9th
In this complex numbers worksheet, 9th graders solve 10 different problems that include addition and subtraction of these numbers. First, they add or subtract the coefficients of similar terms algebraically. Then, students remove the...
Worksheet
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Euler's Method and the S-I-R Model of Disease

For Students Higher Ed
In this Euler's method worksheet, students determine algebraic expressions for quantities in given terms. Next, they use Euler's Method to identify the information. Lastly, they confirm their calculations through the S-I-R method. ...
Worksheet
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The Distributive Property

For Students 8th - 9th
In this distributive property worksheet, learners solve and complete 12 different problems that include using the distributive property to solve. First, they name the coefficient of each terms and list the like terms. Then, students use...
Worksheet
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Addition and Subtraction of Polynomials

For Students 9th
In this polynomials instructional activity, 9th graders solve 10 different problems that include addition and subtraction of various polynomials. First, they remove the parentheses and group like terms together. Then, students add or...
Worksheet
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Division of Polynomials

For Students 9th
In this division of polynomials worksheet, 9th graders solve 10 different equations that include monomials. First, they divide each terms of the polynomial by the monomial and subtract the exponents. Then, students write the appropriate...
Worksheet
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Linear Equations

For Students 6th
In this linear equations worksheet, 6th graders solve and complete 18 different types of problems. First, they combine like terms on one side of the equals sign. Then, students add or subtract like terms and divide by the number in front...
Interactive
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Solving Linear Equations

For Students 9th - 11th
In this algebra worksheet, students solve linear equations and expressions by combining like terms. There are 10 questions with an answer key.
Lesson Plan
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Solving Open Sentences Involving Absolute Value

For Teachers 9th - 10th
In this math worksheet, students solve 6 open sentences and graph solutions using a line graph. Students then express 2 story problems in terms of inequalities. Students then write open sentences for 2 graphs.
Lesson Plan
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Sequence Investigation

For Teachers 11th
Eleventh graders investigate arithmetic sequences.  In this Algebra II lesson, 11th graders create an arithmetic sequence and explore the effect of each variable in the formula of the nth term of an arithmetic sequence. ...
Worksheet
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Binomial Expansions 3

For Students 11th
For this Algebra II worksheet, 11th graders apply the binomial theorem to expand a binomial and determine a specific term of the expansion.  The one page worksheet contains four problems.  Answers are provided. 
Lesson Plan
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River Optimization Problem

For Teachers 8th - 10th
Students define the different methods used for optimizing a particular element of a problem. In this optimization problem activity, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...
Lesson Plan
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Subtracting Monomials and Polynomials

For Teachers 10th - 12th
Young scholars subtract monomials and polynomials by combining like terms. In this advanced subtraction instructional activity, students define the rules and properties for subtraction of polynomials. They apply the rules for addition to...
Worksheet
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Distributive Laws

For Students 7th - 8th
In this distributive laws worksheet, students solve and complete 8 different types of problems. First, they expand each equation by removing the brackets. Then, students remove the brackets and collect like terms in each. In addition,...
Worksheet
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Equivalent Ratios (Practice 18.2)

For Students 5th - 6th
In this ratios instructional activity, students solve 22 problems in which equivalent ratios are found or ratios are expressed in simplest form.
Lesson Plan
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An Introduction To Solving And Graphing Inequalities

For Teachers 10th - 11th
Students graph inequalities and solve the equations. In this algebra lesson, students graph their solutions on a number line and create an inequality for a word problem.
Lesson Plan
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A Triangle Expansion

For Teachers 9th - 12th
Students review the foil method used to multiply two binomials. In this instructional activity on evaluating algebraic expressions, students are able to identify the coefficient in an algebraic expression, "act out" the foil method of...
Worksheet
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Quadratic Equations

For Students 9th - 11th
In this algebra worksheet, students solve quadratic functions through factoring and graphing. They solve for the area of a rectangular area. There are 20 questions.
Worksheet
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Factoring

For Students 11th - 12th
In this algebra worksheet, students solve quadratic equations and factor using complete the square. There are 20 problems. 
Worksheet
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Solving Quadratics

For Students 11th
In this algebra worksheet, 11th graders solve quadratic equations and simplify radicals in to their simplest form using a radical sign. They complete the square and factor equations. There are 13 questions on this worksheet.