Did you know that leaky faucets waste $10 million worth of water? Conservationists perform an experiment and draw best-fit lines to explore how the US Geological Society determined this value.

Pie isn't just for eating! Scholars learn to create pie charts and circle graphs to represent data. Given raw data, learners determine the percent of the whole for each category and then figure out the degree of the circle that percent...

What are the chances? Teach your classes to answer this question using mathematics. The first part of a three-day lesson on determining significance differences in experimental data prompts learners to analyze the data by...

Do homework grades really determine test scores? Learn whether lines of best fit, correlation coefficients, and residuals can be used to determine test scores when given homework grades. (It would certainly save teachers time in grading...

Forget your ID number? Your pupils learn to use logarithms to determine the number of digits or characters necessary to create individual ID numbers for all members of a group. 

Water filtration — that's pure genius! Groups test the ability of a water filter to purify water by running chlorine contaminated water through a filter and measuring the chlorine concentrations as they filter the water. They then graph...

For some, probability is a losing proposition. The assessment item requires an understanding of fraction operations, probability, and fair games. Pupils determine the fractional portions of an event. They continue to determine whether...

What constitutes a good soap bubble? In the second installment of a nine-part series, scholars apply their understanding of surface tension to soap bubbles. They experiment to determine the best solutions to use for the...

True or false — Double Stuf Oreos always contain twice as much cream as regular Oreos. Scholars first measure the masses of the filling in regular Oreos and Double Stuf Oreos to generate a class set of data. They use hypothesis testing...

Transform pupils into mathematicians as they create their own definitions and formulas. Scholars examine an assortment of triangles and create a definition and formula for determining the sharpness of the vertex angle. The groups of...

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...

Knowing how to scale a recipe is an important skill. Young mathematicians determine the amount of ingredients they need to make a certain number of truffles when given a recipe. They determine a relationship between ingredients given a...

Now that we know about permutations and combinations, we can finally solve probability problems. The fourth installment of a 21-part module has future mathematicians analyzing word problems to determine whether permutations or...

Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...

Getting the best pick of the apples depends on where to pick. The short assessment presents a situation in which class members must analyze a real-world situation to determine the cost of picking apples. The pricing structures resemble...

Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...

What can conductivity tell us about a glacier? Groups analyze glacial melt to determine salt content through an analysis of the pH and conductivity measurements of two samples. Groups then determine the source of the salts. 

A deep ocean current circles the globe at a force that is greater than 16 times all the world's rivers combined. Groups analyze the effects of submarine topography on deep ocean current speed. They then determine how this speed affects...

The mean might not always be the best representation of the average. The assessment task has individuals determine the measures of center for the salaries of a company. They determine which of the three would be the best representation...

Winning a spin game is random chance, right? Pupils create a table to determine the sample space of spinning two spinners. Individuals determine the probability of winning a game and then modify the spinners to increase the probability...

Pupils determine the theoretical probability of winning a game of marbles. Individuals compare the theoretical probability to experimental probability for the same game. They continue on to compare two different probability games.

Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...

How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...

Determine whether two triangles are similar. The lesson presents opportunities for pupils to find the criterion needed to show that two triangles are similar. Scholars use the definition of similarity to find any missing side...