EngageNY
Ruling Out Chance (part 1)
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...
Curated OER
Prescient Grading
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...
EngageNY
Logarithms—How Many Digits Do You Need?
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.
Teach Engineering
Water Remediation Lab
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...
Noyce Foundation
Counters
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...
Teach Engineering
Surface Tension Lab
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...
Statistics Education Web
Double Stuffed?
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...
Balanced Assessment
Sharp-Ness
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...
Noyce Foundation
Sewing
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...
Noyce Foundation
Truffles
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...
EngageNY
Using Permutations and Combinations to Compute Probabilities
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...
Inside Mathematics
Party
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...
Inside Mathematics
Picking Apples
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...
EngageNY
Transformations of the Quadratic Parent Function
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...
Polar Trec
Is There Salt in a Glacier?
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.
NOAA
Currents
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...
Inside Mathematics
Suzi's Company
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...
Inside Mathematics
Winning Spinners
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...
Inside Mathematics
Marble Game
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.
Illustrative Mathematics
Modeling London's Population
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...
EngageNY
Modeling Using Similarity
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...
EngageNY
More About Similar Triangles
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...
Balanced Assessment
Multi-Figures
Apply concepts of scale and ratio to determine relationships in irregular figures. Learners determine the ratio of the perimeters of two figures composed of rectangles and circles. After, they apply similar concepts to find the ratio of...
EngageNY
Every Line is a Graph of a Linear Equation
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the...
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