Willow Tree
Line Graphs
Some data just doesn't follow a straight path. Learners use line graphs to represent data that changes over time. They use the graphs to analyze the data and make conclusions.
Mathematics Assessment Project
Skeleton Tower
Who doesn't like building blocks? In the task, pupils use a given diagram of a tower to determine the number of needed blocks. Using this information, pupils then develop a function rule relating the height of the tower to the number of...
Mathematics Assessment Project
Fearless Frames
Show class members how to connect algebra to geometry. A high school assessment task has pupils determine volumes of two different containers given limitations on material for box frames. Pupils then write a paragraph on...
West Contra Costa Unified School District
Solving Inequalities
What does translating points on a number line have to do with solving inequalities? Young mathematicians first learn about translations of points on a number line, and then use this information to solve linear inequalities in one variable.
Mathematics Assessment Project
100 People
It's a small world after all. In the middle school assessment task, learners use data that imagines there are only 100 people in the world to answer questions about population demographics. Young mathematicians use ratio and proportional...
Balanced Assessment
Marbles in a Glass
Allow learners to design their own strategies to solve a problem. Given dimensions of a glass and a smaller marble, scholars must find the dimensions of a larger marble. The answer key suggests using the Pythagorean Theorem, but multiple...
02 x 02 Worksheets
Slope
What does slope have to do with lines? Pupils work with lines and determine the slope of the lines informally and with the slope formula. Groups use their knowledge to calculate the slopes of parallel and perpendicular lines. They also...
Shodor Education Foundation
Two Variable Function Pump
Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...
Shodor Education Foundation
Overlapping Gaussians
Adjust the overlap to compare probabilities. Using sliders, learners adjust the shape of two Gaussian curves. The interactive calculates the area of the left tail for one curve and the right tail for the other. Pupils set the interactive...
Shodor Education Foundation
Two Colors Applet
Find the box with two green balls. The applet uses six balls, three green and three red, and hides them in three boxes. Pupils choose a box and click on it to reveal the color of balls inside. Using the chosen box, the simulation keeps...
Alabama Learning Exchange
Converting Numbers from Base 10 to Binary, Octal, and Hexadecimal
How many different ways can you write the same number? Learners experiment with writing numbers using different bases. They progress from base 10 to base two, eight, and six.
101 Questions
You Pour, I Choose
Tall and skinny or short and stout, which glass hold the most liquid? Learners analyze dimensions of cylindrical glasses to determine the one holding the greatest amount of liquid. They brainstorm the relevant dimensions before making...
Howard County Schools
Maria’s Quinceañera
How long will it take to save up for a car? Classmates use linear and exponential models to see how money received during a Quinceanera will grow over time.
101 Questions
Candle Eyes
Candlelight is in the eye of the distant beholder. Scholars first watch a video clip of a commercial claiming that the human eye can see candlelight from 10 miles away. They use this information to calculate how far we can see...
101 Questions
Popcorn Picker
A video and popcorn, just like being at the movies! Given the dimensions of two different cylinders, scholars decide which will hold the most popcorn. They find out if their calculations are correct with the provided solution video.
Mathematics Assessment Project
Photographs
Picture your pupils using this assessment task. Class members must first determine the measurements of smaller copies of photographs placed next to the original. They then determine the dimensions of the entire sheet of photographs.
Mathematics Assessment Project
Leaky Faucet
In the assessment task, learners investigate the rate at which a faucet leaks. They use unit conversions to determine the amount of water that leaks in a year. Maybe they should just fix the leak!
Curated OER
Volume of Solids
In this volume of solids worksheet, tenth graders solve and complete 20 various types of problems. First, they write the formula needed to find the volume of each solid. Then, pupils use the Pythagorean theorem to find the measure of the...
Curated OER
Using The Calculator
First graders use a calculator to total money quantities. They use plastic coins to represent the cost of an entire purchase. Students model specific dollar amounts and how to make change.
Curated OER
Simple Probability
Students explore simple probability. Each student spins a spinner and records the result as they enter the room. The recorded results are used to calculate experimental probabilities. After the teacher explains how to calculate...
Curated OER
The UP's and Down's of Exponents
Students explore the concept of exponents. In this exponential functions worksheet, students complete provided worksheets that require them to graph exponential functions by hand as well using graphing calculators.
Curated OER
Measurement and Time Problems
Take a deeper look at the steps used to solve measurement and time problems. One word problem involving measurement and 1 word problem involving time is taken apart and described in terms of the strategies used to solve each. A...
Curated OER
How Much Will That House Cost?
What is a mortgage and how do you use it to pay for a house? Young financiers determine how much money is actually spent paying a mortgage payment on a home. They use their math skills to calculate monthly payments on a home given a 30...
Curated OER
The Abacus
The class reads an explanation of the how the ancient calculation tool, the abacus, works. They examine four abacus images and record the number shown on each of them.