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Education Development Center
Word Problem with Rational Numbers—Balancing Bars of Soap
Here's a resource teachers won't want to wash their hands of. Given a task where a full bar of soap is on one side of a balance and 3/4 of a bar of soup and a 3/4-ounce weight is on the other side, young mathematicians must determine the...
Math Stars
Math Stars: a Problem-Solving Newsletter Grade 8
You've just hit the jackpot of integrating math problems and riddles with this jumbo-sized resource! Written as a newsletter, scroll through 35 pages of puzzles and quality problems to engage and encourage your learners to inquire...
Curated OER
Jon and Charlie's Run
Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...
Curated OER
Using Algebra to Explore Problem Space
Students apply their knowledge of math by rewriting word problems using equations. In this word problem lesson, students build upon previous knowledge as they set up the correct steps to solve word problems. This lesson is full of hints...
Curated OER
Snow Day
It's a snow day, and two brothers attending schools with different schedules each got a late start to the day. But who had the shorter school day? That's what your class will find out as they apply their knowledge of fractions to this...
Illustrative Mathematics
Margie Buys Apples
One of the most common, everyday applications of math is dealing with money. This single problem calculating how much change Margie receives is more involved than it appears at first glance. An understanding of how fractions and decimals...
Illustrative Mathematics
The Stamp Collection
By using language like "half of the stamps," children are exposed to patterns in arithmetic that requires solving a two-step word problem. This type of language opens a new door for transitioning learners toward understanding fractions...
Math Stars
Math Stars: a Problem-Solving Newsletter Grade 7
Put on your thinking caps because middle school math has never been more interesting in this huge resource full of thought provoking questions. Written as a newsletter, the resource has 10 two-page newsletters with a variety of...
National Security Agency
Are You Game? A Lesson Connecting Fractions and Probability
Exactly how fair are the board games children grow up playing? Young mathematicians investigate this questions as they work their way through this five-lesson series on basic probability.
Education Development Center
Anita's Way to Add Fractions with Unlike Denominators
Could you develop your own way to add fractions with unlike denominators? An in-depth task has scholars examine a fictional conversation between several people in which they discuss a method of adding fractions with unlike denominators....
Education Development Center
Adding Fractions with Unlike Denominators
If the fractions don't have a common denominator, make them have one. Learners first read and analyze a conversation of pupils trying to add 2/5 and 1/2. They compare the process of adding fractions to the process of adding quantities...
Curated OER
Fractions
Students solve problems with fractions without using a calculator. In this algebra instructional activity, students practice reducing, converting, adding, subtracting and multiplying fractions. They apply the use of fractions to the real...
Curated OER
Tax, Tip and Discount Word Problems
Students solve problems involving tax, tips and discounts. In this algebra lesson, students convert between percents and decimals. They calculate commission using conversion from percents and fractions.
Curated OER
The Number Line
Learners graph and order numbers using a number line. They also solve word problems using fractions and decimals and rewrite equations to solve problems correctly. Several example word problems are given.
Illustrative Mathematics
How Many Containers in One Cup / Cups in One Container?
The object is to model fraction division by asking “How many are in one group?” It is a difficult concept to understand, but developing the model that shows one cup to a certain amount of container or one container to a certain amount of...
Noyce Foundation
Fractured Numbers
Don't use use a fraction of the resource — use it all! Scholars attempt a set of five problem-of-the-month challenges on fractions. Levels A and B focus on creating fractions and equivalent fractions, while Levels C, D, and E touch on...
Curated OER
Line Fractions
Students are read a book and discuss what is meant by different fractions. Using the internet, they practice converting fractions into decimals. In groups, they create their own line fraction after watching a demonstration by the teacher.
Bowland
Mystery Tours – Plan Your Tour
Everyone loves a vacation and a set of three activities has groups planning a tour of the U.K. using given distance, time, and price data. They solve a variety of problems related to the trip and produce a report on the success of...
Pennsylvania Department of Education
Fractions of a Set
Young scholars explore number sense by completing a number set worksheet. For this fractions lesson, students utilize pattern blocks as a visual reference to the fractions they practice identifying. Young scholars read the book...
Curated OER
Problem Solving With Fractions
Sixth graders solve and analyze fractions. In this algebra lesson, 6th graders solve fractions using addition, subtraction, multiplication and division. They work in groups and do peer-review.
University of Utah
Rational and Irrational Numbers
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
EngageNY
The Decimal Expansion of Some Irrational Numbers
Develop a definition of irrational numbers through an exploration of square roots. The 11th activity in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and...
Curated OER
Do These Add Up?
Common Core mathematical practices require that young mathematicians not only know how to add fractions with unlike denominators, but also to recognize when adding fractions are appropriate for the word problem. Fifth graders are given...
EngageNY
Solving Rational Equations
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...