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Illustrative Mathematics
Two Wheels and a Belt
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Chymist
Hydrates
What occurs when a hydrate is heated? Lead your class in exploring the answer to this question as they investigate the properties of a hydrated compound. They heat copper(II) sulfate pentahydrate and evaporate the water...
Teach Engineering
Viscous Fluids
Elasticity and viscosity. Help your class understand the similarities and differences with an introduction to viscous fluids. After describing four types of fluid behaviors: shear thinning, shear thickening, Bringham plastic,...
Noyce Foundation
Baseball Players
Baseball is all about statistics. Pupils solve problems related to mean, median, and range. They calculate the total weight of players given the mean weight, calculate the mean weight of reserve players given the mean weight of the...
Polar Trec
Down to the Deep Virtual Lab
At a depth of 3,000 m in the ocean, the pressure is 300 times that at sea level! In the activity, individuals predict what will happen to Styrofoam cups submerged 3,000 meters into the ocean. They then convert these units to soccer...
Money Math for Teens
Debt Elimination - Power Tools for Building Wealth
What does it mean to be wealthy? Your learners will consider how carrying debt affects budgeting, and learn about the debt snowball strategy and how is it used in the concept of eliminating debt in order to build wealth.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Consumers Energy
The Cost of Electricity
How much is your toaster costing you every day? Young environmentalists calculate the monetary costs of household appliances based on their average consumption of wattage.
Lane Community College
Review Sheets: Introductory Physical Science
This hybrid worksheet connects mathematics to a science class. Learners practice solving problems that involve making a variety of conversions. An assortment of questions hits all the calculations needed for a middle school or beginning...
Virginia Department of Education
Average Atomic Masses
Facilitate learning by using small objects to teach the principles of atomic mass in your science class. Pupils determine the average mass of varying beans as they perform a series of competitive experiments. They gather data and...
Teach Engineering
Earthquakes Living Lab: Finding Epicenters and Measuring Magnitudes
Pairs use an online simulation to determine the epicenter and magnitude of an earthquake. Using real data about the earthquake's maximum S wave amplitudes, they then determine the magnitude. The resource provides a great career...
Inside Mathematics
Archery
Put the better archer in a box. The performance task has pupils compare the performance of two archers using box-and-whisker plots. The resource includes sample responses that are useful in comparing individuals' work to others.
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...
Polar Trec
How Much Data is Enough?
The next time you read a magazine or watch the news, make note of how many graphs you see because they are everywhere! Here, scholars collect, enter, and graph data using computers. The graphs are then analyzed to aid in discussion of...
EngageNY
The Computation of the Slope of a Non-Vertical Line
Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...
Virginia Department of Education
Rational Equations
Provide guidance and practice of the useful skill: solving rational equations using both an algebraic and graphical approach. Pupils solve increasingly more difficult rational equations using algebraic methods. After, they...
National Institute of Open Schooling
Chemical Equilibrium
Le Chatelier's interest in thermodynamics and building materials such as cement and plaster led to the Le Chatelier Principle in 1884. Activity 13 in a series of 36 extensively explores chemical equilibrium. Learners read about...
EngageNY
The Distributive Property and the Products of Decimals
Make multiplication of decimals easier by applying the distributive property. Pupils investigate how they can use the distributive property to multiply decimals. After learning the strategy, they work on some practice problems at...
CK-12 Foundation
Computing Probabilities for the Standard Normal Distribution: The FDA and Food Safety
To recall or not to recall, that is the question. Using provided data, pupils calculate the percent of people that may fall ill on average. The scholars determine the standard deviation based upon the mean and the empirical rule,...
CK-12 Foundation
Area Between Curves: Income and Expenses
Use the area of polygons to calculate the area between curves. Pupils calculate areas under income and expense curves by filling the space with squares and right triangles. Using that information, they determine the profit related to the...
CK-12 Foundation
Volume by Cross Section: Volume of the Cone
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
Cornell University
Thin Films
Combine mathematics and science to calculate measurements of unmeasurable materials. Individuals use knowledge of density and volume to determine the thickness of the film used in production. They also apply stoichiometry to...
101 Questions
Dueling Discounts
What a bargain—an informative, free resource! Given prices of several objects, learners determine whether 20 percent off or $20 off would be a better bargain. They use the results to come up with a generalization of the situation.
Howard Hughes Medical Institute
DNA Profiling Activity
Everyone loves a good mystery ... can your class actually solve one? Partnered pupils take on the role of forensic investigators during a three-part activity focusing on DNA evidence processing. Learners discover the methods used to...