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Middle School
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Middle School: Fractions, Decimals, Percents
In grades 68, students work flexibly with fractions, decimals, and percents,
learning to compare and order them and to find their approximate locations
on a number line. Students develop meaning for percents greater than 100 and
less than 1, and explore the meaning and effects of arithmetic operations with
fractions and decimals. They also learn to judge the reasonableness of
estimates, and to convert among fractions, decimals, and percents.
Problems that allow middleschool students to practice these skills are
listed below. They address the
NCTM
Number and Operations Standard for Grades 68 expectations that
students should be able to work flexibly with fractions, decimals, and
percents to solve problems; compare and order fractions, decimals, and
percents efficiently and find their approximate locations on a number line;
and understand the meaning and effects of arithmetic operations with
fractions, decimals, and integers.
For background information elsewhere on our site, explore the
Middle School Fractions
& Percents area of the Ask Dr. Math archives, and see
Fractions, Decimals, Percentages
from the Dr. Math FAQ. For relevant sites on the Web, browse and search
Fractions/Decimals/Percents
in our Internet Mathematics Library; to find middleschool sites, go to the
bottom of the page, set the searcher for middle school (68), and press the
Search button.
Access to these problems requires a Membership.

BacktoSchool Shopping
 Judy Ann Brown

Math Fundamentals, difficulty level 2. Mrs. Bender noticed that the total of the items her children purchased was $155. Can you determine the cost of one pair of jeans?
... more>>

Batter Up!
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Use statistics to help Lee convince his manager to give him a raise.
... more>>

Building a Snow Statue
 Judy Ann Brown

PreAlgebra, difficulty level 3. Determine the height of a snow statue using the given information.
... more>>

Dishwasher Discounts
 Pat Hagan

PreAlgebra, difficulty level 2. Purchasing a new dishwasher can involve a lot of math. Help find the best deal.
... more>>

Downhill All the Way
 Judy Ann Brown

PreAlgebra, difficulty level 2. Starting at 10,000 feet above sea level, descending a 6% grade followed by a 4% grade will put a car how many feet above sea level?
... more>>

Do you listen to WMTH or WALG?
 Judy Ann Brown

PreAlgebra, difficulty level 4. Each week listeners switch radio stations. Predict the longterm distribution of listeners for each station.
... more>>

A Holiday Gift for Grandmother Brown
 Judy Ann Brown

PreAlgebra, difficulty level 3. Determine the cost of the dishwasher and the contribution from each of five children.
... more>>

Homerun Percentages
 Judy Ann Brown

PreAlgebra, difficulty level 3. Baseball box scores give us a chance to practice percent skills.
... more>>

January Sales
 Judy Ann Brown

PreAlgebra, difficulty level 2. Mathematicians, put away your calculators and help Lynne estimate the cost of a set of golf clubs.
... more>>

Join Us for a Quarterpound Burger
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Work with fractions and percents to help plan this cookout.
... more>>

Mathematics Club Membership
 Judy Ann Brown

Middle School, difficulty level 2. Find the number of students in the Mathematics Club using the given information.
... more>>

Milk Madness
 Suzanne Alejandre

PreAlgebra, difficulty level 4. Help Georgina find out how much milk is left using the number pattern she describes.
... more>>

The Most Appealing Nose Contest
 Judy Ann Brown

PreAlgebra, difficulty level 3. Use the given information to determine the amount of money raised for the Humane Society by the Student Council.
... more>>

Price Fluidity
 Judy Ann Brown

PreAlgebra, difficulty level 2. Compare the pergallon cost of eleven different liquids, and put them in order from least to most expensive.
... more>>

Shine On Harvest Moon
 Judy Ann Brown

PreAlgebra, difficulty level 2. Find the area of the largest circle that can be cut from a nineinch by twelveinch sheet of paper.
... more>>

Spring Garden Planning
 Judy Ann Brown

PreAlgebra, difficulty level 4. Find the area as well as the length and width of my fractional garden.
... more>>

Valley Springs Snow Cream
 Kelly Crisp

PreAlgebra, difficulty level 3. Compare the volume of a sphere, cone, and cylinder using ice cream.
... more>>

Where Does Mrs. Darien Live?
 Judy Ann Brown

Middle School, difficulty level 2. Use clues to help Mrs. Darien's students find her house number.
... more>>
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