Lesson Plan
Illustrative Mathematics

Gotham City Taxis

For Teachers 6th - 8th Standards
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
Lesson Plan
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Illustrative Mathematics

Coupon Versus Discount

For Teachers 7th - 9th Standards
All too often stores give coupons for an item, but when you go into buy it, the item is on discount.  The store won’t take the coupon if the discount is used. So what do you do, use the coupon or take the discount? This activity...
Lesson Plan
Curated OER

Basketball

For Teachers 9th - 12th Standards
Tap into the competitive nature of teenagers as your class practices setting up and solving rational equations. This activity starts with a specific ratio of games won to games played, then asks how many more games must be played to...
Lesson Plan
Illustrative Mathematics

Fruit Salad

For Teachers 5th - 7th Standards
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
Activity
Education Development Center

Absolute Value Reasoning

For Students 6th - 7th Standards
Teach solving absolute value inequalities through inquiry. Groups use their knowledge of absolute value and solving inequalities to find a solution set to an absolute value inequality. Working collaboratively encourages discussion,...
Lesson Plan
Illustrative Mathematics

Shrinking

For Teachers 6th - 8th Standards
Is Aunt Nancy shrinking? Find out by calculating with the average height women lose each year. The activity practices multiplying and dividing with decimals and rounding the final answer.
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...
Activity
5280 Math

Pythagorean Triples

For Teachers 10th - 12th
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
Activity
Education Development Center

Rectangles with the Same Numerical Area and Perimeter

For Students 8th - 9th Standards
Is it possible for a rectangle to have the same area and perimeter? If you disregard units, it happens! In a challenging task, groups work to determine the rectangles that meet these criterion. The hope is that learners will naturally...
Activity
Education Development Center

Creating a Polynomial Function to Fit a Table

For Students 9th - 10th Standards
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
Activity
Curated OER

Task: Miniature Golf

For Teachers 6th - 10th Standards
"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Solving Rational Equations

For Students 9th - 10th Standards
Twenty-six problems present a variety of practice solving rational equations. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to...
Activity
Oswego City School District

Regents Exam Prep Center: Solving Fractional Equations

For Students 9th - 10th
Use this site to learn how to eliminate the denominators to make solving these equations easier. Examples contain algebraic fractions with monomials and higher degree polynomials in the denominators.
Activity
Other

Mesa Community College: Solving Rational Equations Practice Problems

For Students 9th - 10th Standards
Eight rational equations to solve. Answers and complete solutions are available.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Solving Rational Equations

For Students 9th - 10th Standards
Twenty-six problems cover the topic of solving a variety of rational equations. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to...
Activity
Other

Mainland High School: Algebra Lab: Solving Rational Equations

For Students 9th - 10th Standards
Rational equations are examined through notes and practice problems. Hints and solutions are included with the practice problems.
Activity
Other

Chandler Unified School District: Algebra 2: Solving Rational Equations [Pdf]

For Students 10th - 12th
A 4-page student handout with exercises on solving rational equations using different methods.
Activity
Texas Instruments

Texas Instruments: Solving Rational Expressions

For Teachers 9th - 10th
Students will solve rational equations for unknown variables, use given information to create rational equations, and determine the relationship between rational expressions.
Activity
Oswego City School District

Regents Exam Prep Center: Solving Rational Equations

For Students 6th - 8th Standards
This mathematics resource consists of notes and examples on how to solve rational equations.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Solving Rational Equations

For Students 9th - 10th Standards
Find a quick, concise explanation of how solve radical equations. Examples are given and clearly explained.
Activity
Texas Instruments

Texas Instruments: Rational Functions and Their Asymptotes

For Teachers 9th - 10th Standards
In these questions, students identify asymptotes and removable discontinuities of rational functions, simplify rational expressions, and solve rational equations. Solutions and explanations are included.
Activity
Oswego City School District

Regents Exam Prep Center: Practice With Rational Equations

For Students 9th - 10th
Exercises are provided for practice with rational equations. Click the "answer" link to check your work.
Activity
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Equations With Rational Expressions

For Students 9th - 10th
Using this tutorial, you will learn to solve equations with rational expressions by following step-by-step examples, viewing video explanations, and completing practice questions.
Activity
Interactive Mathematics

Interactive Mathematics: Equations Involving Fractions

For Students 9th - 10th
The method of solving equations with rational expressions is demonstrated through the use of word problem. Exercises are provided for extra practice.