Teach Engineering
Energy Perspectives
The data says ... the resource is great to use. Using Microsoft Excel, pupils analyze data from the US Department of Energy in the fifth lesson of a 25-part Energy Systems and Solutions unit. Each group looks at a different data set and...
National Nanotechnology Infrastructure Network
Shrink Me!
The incredibly shrinking meter—decimeters to centimeters, to millimeters, and now to nanometers! Learners may have a difficult time visualizing particles on a nanoscale. Help them see a little clearer using a well-designed lesson that...
National Nanotechnology Infrastructure Network
What’s In Your Neighborhood?
Chart your way to an understanding of nanoscale. Using a Google map, learners estimate a radius around their location of 1,000 and 1,000,000 meters. Predicting what 1,000,000,000 meters would look like takes them off the charts!...
National Nanotechnology Infrastructure Network
The Micro and Macro World Around Us
Don't let your eyes play tricks on you ... use scale to keep your eyes in check! Young scholars observe images without scale and try to identify the structure. Then, they look at the same image with a scale bar and assess whether their...
101 Questions
World Record Balloon Dog
What is the world record for a dog popping 100 balloons? Viewers observe as a dog pops 25 balloons and must figure out how long it should take for the canine to pop the other 75. They discover the previous record and predict if this dog...
101 Questions
Boat in the River
Ever feel like you're headed up the down escalator? Don't let your pupils get stuck in that rut! Practice writing equations to solve a problem using an engaging lesson. A video presents information that allows learners to determine how...
5280 Math
Go with the Flow
Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...
101 Questions
Girl Scout Cookies
How many Girl Scout cookies can you fit in a trunk? Learners consider this question after watching a video of an SUV being filled to the top with single boxes of the cookies. They use measurements of the trunk and the box of cookies to...
Illustrative Mathematics
Identifying Even and Odd Functions
Use a worksheet to give learners practice in identifying even and odd functions. The problems on this page are also appropriate for use as assessment items, or you can use them with GeoGebra to interactively present concepts. The task is...
Illustrative Mathematics
Interpreting the graph
The purpose of this exercise is to give practice in reading information about a function from its graph. Learners are given graphs of two functions on the same axes. The task is to locate and label various key points on the graph that...
Illustrative Mathematics
Tides
A very simple example of a functional relationship between depth of water and time is shown here. In fact, it might be more useful to use a coastal tide book to better illustrate this real-world experience. Pupils are to count the number...
Illustrative Mathematics
Comparing Rational and Irrational Number
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
Illustrative Mathematics
Equivalent Expressions?
Pre-algebra pupils need to understand that two expressions are only equal if they have the same value. Show them that once the expression is multiplied by a number, the value of the expression changes. It makes for a good lead-in to...
Illustrative Mathematics
Irrational Numbers on the Number Line
There are four irrational numbers that participants need to graph. Pi(π), -(½ x π), and √17 are easy to approximate with common rational numbers. On the other hand, the commentary describing the irrational number 2√2 is not clear. It...
Illustrative Mathematics
Finding a 10% increase
A quick problem to test your mathematicians' knowledge on percent increase. Two different solutions are provided, mental math and computing. Ask your learners to include a description of what they did to supplement their answer.
Illustrative Mathematics
Equations of Lines
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases. It will...
Illustrative Mathematics
How is the Weather?
This activity asks learners to interpret data displayed on a graph within the context of the problem. Students are given three graphs that show solar radiation, or intensity of the sun, as a function of time. They are also given three...
Illustrative Mathematics
Pizza Place Promotion
The longer you wait to try the new pizza place, the more it's going to cost you! This real-world problem about how the cost of pizza varies with respect to time is a good example of how piecewise functions are used to describe...
Illustrative Mathematics
Warming and Cooling
Is it too hot to go hiking? This task asks learners to refer to a graph that shows temperature as a function of time and answer five questions about the scenario depicted by the graph. The exercise could be used for instruction to help...
Illustrative Mathematics
Egyptian Fractions II
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...
Illustrative Mathematics
Baseball Cards
Here is a resource that demonstrates growth and the initial state of an equation. For this case, your class will be looking at baseball collections. How many baseball cards did the collector start out with, and how many were added or...
Illustrative Mathematics
Bike Race
A graph not only tells us who won the bike race, but also what happened during the race. Use this resource to help learners understand graphs. The commentary suggests waiting until the end of the year to introduce this topic, but why...
Illustrative Mathematics
Video Streaming
Your movie fans will be interested in this resource. They will compare video streaming plans. One plan charges a set rate per month and a reduced viewing fee, and the other has a flat rate per each video viewed. Unfortunately, young...
Illustrative Mathematics
Estimating Square Roots
No calculators! Assure your learners that they can find the square root of a large number. All they need are two known squares close by and a table. Come up with an additional practice and your number crunchers will have it mastered in...
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