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    percents checkmark



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   estimation
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     & prime numbers
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     & percents
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   ratio, proportion

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     & perimeter
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Elementary: Fractions, Decimals, Percents

In grades 3-5, students develop an understanding of fractions as parts of unit wholes, parts of a collection, locations on the number line, and as divisions of whole numbers. They learn to recognize and generate equivalent forms of commonly used fractions, decimals, and percents, study the kinds of information each representation conveys, and gain facility in comparing fractions by using benchmarks such as 1/2 or 1.

Problems that allow elementary students to practice using fractions, decimals, and/or percents are listed below. They address the NCTM Number and Operations Standard for Grades 3-5 expectation that students should develop and use strategies to estimate computations involving fractions and decimals in situations relevant to students' experience, and should use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals.

For background information elsewhere on our site, explore the Elementary Fractions & Decimals area of the Ask Dr. Math archives. To find relevant sites on the Web, browse and search Fractions/Decimals/Percents in our Internet Mathematics Library; to find elementary sites, go to the bottom of the page, set the searcher for late elementary level (3-5), and press the Search button.


Access to these problems requires a Membership.

At the Movies - Lisa Lavelle
active problem Math Fundamentals, difficulty level 3. Explore the changes in movie and theater prices. ... more>>

Back-to-school Supplies - Lisa Lavelle
active problem Math Fundamentals, difficulty level 2. Help calculate the total bill for these back-to-school supplies. ... more>>

Birthday Beach Bash - Lisa Lavelle
active problem Math Fundamentals, difficulty level 3. Help determine how many balloons were needed for party favors at the end of this celebration. ... more>>

Cat Walk - Math Olympiad Problem (revised)
active problem Elementary, difficulty level 2. Using the ratio of dog steps to cat steps and the length of a dog step, calculate the number of feet a cat walks in 24 steps. ... more>>

Chicken Little's Eggs - Jody Newman
active problem Elementary, difficulty level 3. How many eggs did Chicken Little have in her basket at the start of her trip to town? ... more>>

Frugal Freeda - Lisa Lavelle
active problem Math Fundamentals, difficulty level 4. Help Freeda decide which store has the best buy. ... more>>

Garden Fresh Fruit - Shrawan Khanna's Ninth Grade Class
active problem Math Fundamentals, difficulty level 4. Help the poor farmer predict his revenue (if he can sell all his fruit). ... more>>

Golf Anyone? - Phil Marchal
active problem Math Fundamentals, difficulty level 3. Kyle needs some help in figuring out how many buckets of golf balls were hit at the Hook and Slice Driving Range. ... more>>

Growing Pains - Lisa Lavelle
active problem Elementary, difficulty level 4. Predict the height and weight of a child after ten years. ... more>>

Irish Specials - Lisa Lavelle
active problem Math Fundamentals, difficulty level 3. Calculate the final bill for our St. Patrick's Day dinner last week. ... more>>

Is There Really a Discount? - Lisa Lavelle
active problem Math Fundamentals, difficulty level 3. Determine which friend is correct about the final price on a sales item. ... more>>

Jellybean Fractions - Lisa Lavelle
active problem Elementary, difficulty level 2. Determine good and bad choices in playing the Jellybean Fractions Game. ... more>>

Jumping Rope - Leon Roland & class
active problem Math Fundamentals, difficulty level 2. Just how long was the rope with which we started? ... more>>

Lawn-Mowing Chore - Judy Ann Brown
active problem Math Fundamentals, difficulty level 4. Find the area of the yard that Josh, Sam, and Mark must mow. ... more>>

Lost in Space - Lisa Lavelle
active problem Math Fundamentals, difficulty level 4. Figure out how big an error the engineers made when they mixed up their units. ... more>>

The Math Teacher's Ties - Brentwood College School - Math 12(1)
active problem Math Fundamentals, difficulty level 3. Read the rhyme and determine the number of ties the math teacher has in his wardrobe. ... more>>

More Balloons - Lisa Lavelle
active problem Math Fundamentals, difficulty level 5. Here's a more difficult problem based on our balloon color preferences. ... more>>

Our Favorite Balloon Colors - Lisa Lavelle
active problem Elementary, difficulty level 4. Determine the number of submitters who listed blue as their favorite balloon color. ... more>>

Presidential Timepieces - Mary DeYoung & class
active problem Math Fundamentals, difficulty level 4. Develop a sense of time by exploring presidential events. ... more>>

Raisin Nut Cookies - Marsha May
active problem Math Fundamentals, difficulty level 4. Sarah needs to convert her cookie recipe for her cousin. ... more>>

Special Stars - Lisa Lavelle
active problem Math Fundamentals, difficulty level 2. Calculate the number of pipe cleaners Leah used to create a Star of David chain. ... more>>

Timber!!! - Lisa and Judy Gardner
active problem Math Fundamentals, difficulty level 3. Determine the lengths of two pieces of a damaged redwood tree. ... more>>

The Twelve Percents of Christmas - Lisa Lavelle
active problem Math Fundamentals, difficulty level 2. Calculate the percentages of the total gifts received on each of the twelve days of Christmas. ... more>>

Video Viewing - Lisa Lavelle
active problem Math Fundamentals, difficulty level 3. Just how much television will Frank and Lisa watch? ... more>>

What a Move! - Lisa Lavelle
active problem Math Fundamentals, difficulty level 3. Determine the number of hours it took the movers to move the Lavelles to their new home, as well as the number of man-hours. ... more>>

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