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Unit Plan
Mathematics Vision Project

Module 4: Rational Functions

For Students 9th - 12th Standards
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
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Unit Plan
Mathematics Vision Project

Module 5: Rational Functions and Expressions

For Students 10th - 12th Standards
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...
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Lesson Plan
Curated OER

Rational, Irrational and Square Roots

For Teachers 7th - 8th
Students identify rational and irrational numbers and their use in mathematical functions. Through demonstration, students discover the difference between rational and irrational numbers and their use. Using estimation skills students...
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Lesson Plan
EngageNY

Rational and Irrational Numbers

For Teachers 10th - 12th Standards
Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...
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Lesson Plan
EngageNY

Solving Rational Equations

For Students 10th - 12th Standards
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
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Activity
PBL Pathways

Cell Phones

For Teachers 10th - Higher Ed Standards
Calling all subscribers! Model revenue based on individual cell phone subscribers. The project-based learning activity presents a challenge to scholars from a cell phone company. Individuals model data provided to them from the company...
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Lesson Plan
Illustrative Mathematics

Chicken and Steak, Variation 2

For Teachers 7th - 9th Standards
Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...
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Worksheet
Curated OER

Solving Rational Equations

For Students 11th
In this algebra worksheet, 11th graders solve rational expressions, by combining the denominators and making them common. They solve word problems using algebra. There are 10 questions with an answer key.
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Lesson Plan
Curated OER

Adding and Subtracting forty-Four Rational Expressions with Unlike Denominators

For Teachers 11th - Higher Ed
In this adding and subtracting rational expressions worksheet, pupils perform the indicated operations and simplify forty-four expressions.  These problems involve unlike denominators.
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Worksheet
Curated OER

Rational Expressions: Add and Subtract

For Students 9th - 12th
In this rational expression worksheet, students add or subtract rational expressions by finding common denominators. There are 11 multiple choice questions.
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Unit Plan
2
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EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
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,...
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Lesson Plan
Curated OER

Summer Intern

For Teachers 9th - 12th Standards
Your young apprentices build a function describing the percent concentration of salt in a brine. The rational function is then related to the parent function, y= 1/x, and graphed. Finally, the apprentices predict the amount of fresh...
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Worksheet
Lane Community College

Review Sheets: Beginning Algebra

For Students 6th - 9th Standards
This jumbo worksheet contains everything you need to get through Pre-Algebra. Begin with simple expressions, and end with linear functions and polygons. There are multiple problems for each topic to make sure those skills are set. 
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Lesson Plan
Curated OER

Squaring Function of Natural Numbers

For Teachers 8th
Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. In this squaring natural numbers lesson plan, 8th graders also identify squares form 0 - 12 and complete a...
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Lesson Plan
Virginia Department of Education

Transformational Graphing

For Students 9th - 12th Standards
Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.
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Worksheet
Curated OER

Rational Expressions

For Students 11th
In this Algebra II worksheet, 11th graders simplify rational algebraic expressions by factoring and cancelling the common factors.  The two page worksheet contains instruction, worked examples, and three practice problems.  Answers are...
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Lesson Plan
Curated OER

Worksheet 9: Trig Functions

For Teachers 12th - Higher Ed
In this math worksheet, young scholars are given 7 problems in which they write expressions for trig functions, compute limits and graph functions.
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Lesson Plan
Curated OER

Inquiry Unit: Modeling Maximums and Minimums

For Teachers 8th - 12th
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and  plot width v. area on a scatter...
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Interactive
Curated OER

The Method of Integration by Partial Fractions

For Students 9th - 10th
For this calculus worksheet, students solve problems using integration by partial fractions. They add fractions to get a common denominator, then take the derivative. There are 20 questions with an answer key.
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Lesson Plan
Virginia Department of Education

Balanced

For Teachers 6th Standards
Bring balance to your lesson plans with an activity that asks individuals to solve one-step linear equations with inverse operations. Balance scales help learners understand the concept of isolating the variable.