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.
National Council of Teachers of Mathematics
Cash or Gas?
Which option provides the best payout? Pupils predict which lottery prize to take. They devise a method to calculate which prize would likely provide the greatest monetary value.
National Council of Teachers of Mathematics
Bank Shot
Bank on geometry to line up the shot. The resource asks the class to determine the location to bank a cue ball in a game of billiards. Using their knowledge, class members determine where to hit the bumper to make a shot and discuss...
National Council of Teachers of Mathematics
Taking a Spin
It does not divide into 360 evenly, so it cannot work. The resource extends pupils' thinking about rotational symmetry. By asking for a figure with a rotational symmetry of a seemingly impossible angle, the activity requires learners to...
National Council of Teachers of Mathematics
Eruptions: Old Faithful Geyser
How long do we have to wait? Given several days of times between eruptions of Old Faithful, learners create a graphical representation for two days. Groups combine their data to determine an appropriate wait time between eruptions.
Mathematics Assessment Project
Representing Functions of Everyday Situations
Functions help make the world make more sense. Individuals model real-world situations with functions. They match a variety of contexts to different function types to finish a helpful resource.
Mathematics Assessment Project
Representing Quadratic Functions Graphically
Sometimes being different is an advantage. An engaging activity has scholars match cards with quadratic functions in various forms. Along the way, they learn about how each form highlights key features of quadratic functions.
Indiana Department of Education
The Represented World: Communication—Packaging
Challenge your classes to design and market a new product. Collaborative groups use geometry skills to create packaging for their products. Finally, they plan a marketing strategy to present to a marketing specialist.
Towson University
Looking Into Lactase: Structured Inquiry
Why is lactase important? Biology scholars explore enzyme function in a structured inquiry lab. The activity tasks lab groups with observing how temperature and pH affect enzyme activity, as well as determining which milk products...
Towson University
The Crucial Concentration
Which sports drink provides the best pick-me-up after the big game or grueling workout? It may not be the one you'd think! Food science is the focus in a surprising lab activity. Pupils use colorimetry to determine the amount of protein,...
Towson University
It's a Gassy World!
How much does your class know about the relationship between climate change and carbon dioxide? Science scholars explore the nature of greenhouse gases and rising ocean temperature through demonstrations, research, and experiments. The...
Education Development Center
Extending Patterns with Exponents
Don't think negatively about exponents. Young mathematicians dissect a fictional conversation between pupils trying to evaluate an expression with a negative exponent. This allows them to understand the meaning of negative exponents.
Education Development Center
Finding Parallelogram Vertices
Four is the perfect number—if you're talking about parallelograms. Scholars determine a possible fourth vertex of a parallelogram in the coordinate plane given the coordinates of three vertices. They read a conversation...
Education Development Center
Proof with Parallelogram Vertices
Geometric figures are perfect to use for proofs. Scholars prove conjectures about whether given points lie on a triangle and about midpoints. They use a provided dialogue among fictional students to frame their responses.
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.
Education Development Center
Integer Combinations—Postage Stamps Problem (MS Version)
Number patterns can seem mysterious. Help your learners unravel these mysteries as they complete an intriguing task. Through examination, collaborative groups determine that they are able to produce all integers above a certain value by...
Education Development Center
Integer Combinations—Postage Stamps Problem (HS Version)
It seems the post office has run out of stamps! Learners build all the values of postage available if the post office only sells five- and seven-cent stamps. The task provides an opportunity to create an expression in two variables and...
Education Development Center
Writing Numerical Expressions—Hexagon Tables
Explore a basic pattern to practice writing expressions. In collaborative groups, learners examine a contextual pattern and write an expression to model it. The task encourages groups to describe the pattern in multiple ways.
Education Development Center
Interpreting Statistical Measures—Class Scores
Explore the effect of outliers through an analysis of mean, median, and standard deviation. Your classes examine and compare these measures for two groups. They must make sense of a group that has a higher mean but lower median compared...
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,...
Education Development Center
Factoring a Degree Six Polynomial
Within collaborative groups, scholars factor a degree six polynomial. They can factor the polynomial using many different strategies — a great way to prompt mathematical discussion.
Education Development Center
Choosing Samples
What makes a good sample? Your classes collaborate to answer this question through a task involving areas of rectangles. Given a set of 100 rectangles, they sample a set of five rectangles to estimate the average area of the figures. The...
Indiana Department of Education
Amusement of the Future
Take your class on the ride of their lives! Physical science scholars get an in-depth look at potential and kinetic energies in an amusement park-themed unit. Students research, design, and promote their own amusement parks, complete...
EngageNY
Find Solutions to Make Equations True
The truth is always best. Individuals continue to find values that make equations true in the 26th installment of the 36-part module. The only difference is that they now call them solutions to those equations.