Why do all sizes of pictures not show the same thing? Class members analyze aspect ratios of various sizes of photos. They determine which sizes have equivalent ratios and figure out why some pictures need to be cropped to fit...

Does your bank pay you for allowing them to hold your money? Class members investigate three different ways money can make more money. Topics include certificates of deposit, statement savings accounts, and money market accounts....

There are many ways to correlate coffee to life, but in this case a worksheet looks at the price of two different sizes of coffee. It requires interpreting a graph with two unknown variables, in this case the price, and solving for...

Does standard deviation work for non-symmetrical distributions, and what does it mean? Through the use of examples, high schoolers determine the standard deviation of a variety of distributions and interpret its...

It's time for scholars to show what they know about coordinate planes with a collection of three assessments. The exams' objectives include plotting points on a single grid, measuring using the distance formula, and identifying...

Pupils figure out how to be resourceful when tasked with finding the area of a triangle knowing nothing but its endpoints. Beginning by exploring and decomposing a triangle, learners find the perimeter and area of a triangle. They...

Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through...

Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...

Looking for an estimation activity a bit more involved than the typical "guess the number of jellybeans in the jar" game? Here, learners use a picture to estimate the number of people at a large event, look for potential problems with...

Learners investigate why theoretical probability doesn't always match reality. The activity involves using Python 2.7 (or Sage) to set up a Bernoulli Trial. It also involves setting up a spreadsheet to simulate the Birthday Paradox....

Your learners will get lots of practice calculating simple and compound interest by the end of this lesson. Simple explanations and examples lead learners through the concepts and steps of calculating simple and compound interest...

Explore scientific notation in this mathematics lesson. Young mathematicians explore multiple representations of large number in scientific notation through the use of models, visual representation and expanded form. The lesson provided...

Explore the difference between stochastic and deterministic modeling through programming. First have the class write algorithms for relatively simple tasks using pseudocode. Use the Python 2.7 program app to simulate Mendel's Pea Pod...

Fred thinks his test score is high enough to earn him a certificate. Given the mean and standard deviation, use properties of normal distributions to calculate Fred's percentile ranking and see if he is right. Consider having your class...

Looking for a real-world situation to practice converting units? In this problem, learners must change miles per gallon to liters per km (or vice versa) to determine which car gets better gas miileage. It is a relatively short problem,...

What is the probability that two randomly seated people will be across from each other at a square table? Check learners' understanding of theoretical probability and compound events with this short assessment. A great opportunity to...

This short probability question may look simple at first, but it is actually quite complex! Learners must understand independent events in context and must take into account several different scenarios. Use as an individual assignment...

Inscribing a square in a circle brings up a number of interesting geometry topics including triangle congruence and how to prove a quadrilateral is a square. This activity is followed up by finding the area of the square and determining...

Plants never grow at the same rate, and that is the antithesis for this word problem involving multiplication of fractions. On the learning exercise, Raul notices that Pablo's seedlings are 1 1/2 times as tall, and Celina's seedlings are...

Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...

Mathematicians need to know that not all numbers are rational. We approximate irrational number with rational numbers. That is why a calculator may be misleading. This task give learners an opportunity to see how rounding a number and...

Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...

What is a million between friends? This fast food chain claims to serves a certain percentage of Americans every day. The resource agrees, but depending on how you calculate it, you could be a million off. Let your fast food munchers be...

Can your mathematicians come up with an easy way to convert miles to kilometers? Start by asking learners to write an algebraic expression for each of the descriptions given. Once they determine that they are both the same, ask...