Education Development Center
Sum of Rational and Irrational is Irrational
Sometimes the indirect path is best. Scholars determine whether the sum of a rational number and an irrational number is irrational. Reading a transcript of a conversation between classmates leads to an indirect proof of this concept.
Curated OER
Lesson 3: Number Sense
Learners solve word problems using number sense. They convert fractions to decimals and mixed numbers. Pupils determine if a given fraction is greater or less than another fraction, and order numbers on a number line.
EngageNY
Converting Repeating Decimals to Fractions
Develop a process with your classes for converting repeating decimals to fractions. Through this process, pupils understand that any repeating decimal can be written as a fraction. The 10th lesson in this 25-part module helps reinforce...
Scholastic
Study Jams! Decimal, Fraction, & Percent Equivalents
If percents, fractions, and decimals can all mean the same number how do we go from one to another? During this instructional activity, watch how it goes over the basic steps needed to go from one rational number to the next. Both...
Education Development Center
Rational Exponents
It's rational to root for your class to learn about exponents. Scholars study rational exponents by reading a fictional dialogue between classmates. They analyze the conversation to understand the connection between rational exponents...
Curated OER
Is Bigger Always Better?
Explore rational numbers with the young mathematicians in your class. They will investigate decimals, fractions, and percents before ordering and comparing rational numbers. This multi-day unit includes differentiation activities and...
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...
5280 Math
Decimal Patterns
Find patterns in the process instead of the result. Learners convert series of decimals and fractions identifying patterns along the way. The lesson includes nine problem tasks with progressively more involved patterns.
Noyce Foundation
Percent Cards
Explore different representations of numbers. Scholars convert between fractions, decimals, and percents, and then use these conversions to plot the values on a horizontal number line.
Curated OER
Number Systems and Mental Math
In this Number System learning exercise, learners solve thirty problems using mental math and ten with a calculator. Students also classify numbers as rational or irrational.
School Mathematics Project
Resource Sheets
This extensive and far-reaching collection of worksheets puts a new twist on many basic concepts. Learners use multiplication to trace a path from one point to another, tile a plane by converting between improper and proper fractions,...
Curated OER
Dental Impressions
What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....
Charleston School District
Converting Fractions and Decimals
A decimal is just a fraction in disguise! Scholars learn methods for converting decimals and fractions including repeating decimals. Performing the conversions strengthens their understanding of the relationship between the two forms....
Education Development Center
Creating a Polynomial Function to Fit a Table
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...
Curated OER
Millionaire Game: Life Since 1930 Britain
Life in the UK changed a lot during and after WWII. Review major events, pop icons, and life during wartime with a game. Kids play a Millionaire-style game to test what they know about rationing, blackouts, The Beatles, and British...
National Center for Case Study Teaching in Science
A Case Study Involving Influenza and the Influenza Vaccine
Using a hypothetical discussion between two coworkers broken up into four parts, budding biologists examine the flu shot and some of the typical arguments for and against it. The conversational nature of the reading makes it engaging and...
Education Development Center
Absolute Value Reasoning
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,...
Mt. San Antonio Collage
Elementary Geometry
Your class may believe that geometry is a trial, but they don't know how right they are. A thorough math lesson combines the laws of logic with the laws of geometry. As high schoolers review the work of historical mathematicians and the...
Noyce Foundation
Sewing
Sew up your unit on operations with decimals using this assessment task. Young mathematicians use given rules to determine the amount of fabric they need to sew a pair of pants. They must also fill in a partially complete bill for...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Claim 2
To solve or not to solve that is the problem. A slide presentation of 17 items show different ways that Smarter Balanced assesses Claim 2, problem solving. The items span from sixth and seventh grade concepts to highlight the...
EngageNY
Finite and Infinite Decimals
Explore the patterns of fractions that produce finite and infinite decimals. The sixth lesson of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns, pupils create...
Education Development Center
Rectangles with the Same Numerical Area and Perimeter
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...
Curated OER
Got a problem? Let's Solve It!
Young scholars understand what problem solving means and that problems can be solved in different ways. In this problem solving lesson, students discuss real life problems in groups and present their solution. Young scholars create...