Unit Plan
New York City Department of Education

Dance and Text

For Teachers 5th - 7th Standards
Use texts and dances to teach inequalities and equations. A sixth-grade unit covers using variables in equations and inequalities to solve problems. Learners show what they know at the end of the unit using two performance tasks, one...
Unit Plan
New York City Department of Education

Peter’s Garden

For Teachers 3rd Standards
Watch scholars' understanding of fractions bloom. The resource presents a performance task where the fractions are equal parts from the same whole, and mathematicians must use them to solve problems about a grade level garden. Teachers...
Performance
Radford University

Green Cravings

For Teachers 9th - 12th Standards
Build up a bag of green. Pupils determine the number of green Skittles in a snack bag and come up with a way to determine how many snack bags it would take to create one bag of only green Skittles. Classmates share their methods and...
Activity
Curated OER

Task: Range of Motion

For Teachers 7th - 10th Standards
If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. In this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...
Unit Plan
New York City Department of Education

Isabella’s Garden

For Teachers 2nd - 4th Standards
Create rows and rows of vegetables. Pupils use their knowledge of multiplication to find the number of vegetable shoots planted in a garden and ways to arrange the vegetables in the performance task. Teachers use the suggested unit...
Performance
Radford University

Basketball Math

For Teachers 9th - 12th Standards
Shoot for a better knowledge of optimization strategies. During the first part of the task, scholars use given basketball shooting percentages for different players to predict the winner by examining systems of inequalities. For the...
Performance
Radford University

Pizza Sector Task

For Teachers 9th - 12th Standards
Gobble up a slice of the task. Scholars first consider the area of a whole pizza, half a pizza, and a quarter of a pizza. They then consider other central angles and develop a formula for the area of any sector of a circle.
Performance
Radford University

Shuffle or Nano?

For Teachers 9th - 12th Standards
Mix up your teaching playlist with a performance-based assessment task. Given iPod sales data for several years, scholars create a scatter plot and perform regression analysis. They determine the best fit curve for different domains.
Lesson Plan
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Illustrative Mathematics

Eratosthenes and the Circumference of the Earth

For Teachers 9th - 12th Standards
The class gets to practice being a mathematician in ancient Greece, performing geometric application problems in the way of Eratosthenes. After following the steps of the great mathematicians, they then compare the (surprisingly...
Unit Plan
New York City Department of Education

Chris’ Garden Dilemma

For Teachers 2nd - 4th Standards
Make the connections between area, tiling, and multiplication. A performance task and associated unit presents the concept of area and makes the connection to multiplication. Pupils work through three major sections of instruction that...
Performance
Radford University

Triangle Inequality Task

For Teachers 9th - 12th Standards
Not all triangles are created equal. A simple hands-on activity has learners investigate the side lengths of triangles. They use pipe cleaners to determine whether triangles of given side lengths can exist and then use the results to...
Performance
Radford University

Coal Silo Design Task

For Teachers 9th - 12th Standards
The coal is mined. Now what? Scholars design a coal silo that stores mined earth using at least two different three-dimensional shapes. They calculate the volume, determine the amount of mined earth produced in a day, and find the amount...
Performance
Radford University

Peer Survey on Current Events

For Teachers 9th - 12th Standards
Stay up to date on current events as well as how the class views the issues. A performance task has scholars select a current event of interest and design a class survey on the topic. They conduct the survey, analyze, and report the...
Unit Plan
New York City Department of Education

How I Roll

For Teachers 6th - 8th Standards
There's a high likelihood for learner success in this set of probability problems and activities. From support activities that walk learners through joint and compound probabilities through the cumulative activity of planning to win...
Lesson Plan
Illustrative Mathematics

How Many Leaves on a Tree?

For Teachers 9th - 12th Standards
This is great go-to activity for those spring or fall days when the weather beckons your geometry class outside. Learners start with a small tree, devising strategies to accurately estimate the leaf count. They must then tackle the...
Lesson Plan
Illustrative Mathematics

How Many Cells Are in the Human Body?

For Teachers 9th - 11th Standards
Investigating the large numbers of science is the task in a simple but deep activity. Given a one-sentence problem set-up and some basic assumptions, the class sets off on an open-ended investigation that really gives some...
Lesson Plan
Illustrative Mathematics

Overlapping Rectangle

For Teachers K - 3rd Standards
Challenge young mathematicians' ability to compose and decompose shapes with this fun geometry puzzle. The goal is simple, locate all of the rectangles shown in a picture of three overlapping rectangles. Perform this activity as a whole...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Lesson Plan
Illustrative Mathematics

How Long

For Teachers K - 2nd Standards
It won't take young mathematicians long to learn how to measure length with this fun, hands-on activity. Working in pairs, children use Unifix® or snap cubes to measure and record the lengths of different classroom objects. To extend the...
Performance
Radford University

Parallelogram Task

For Teachers 9th - 12th Standards
These floors were made for learning. Pupils use coordinate planes drawn on the classroom floor using tape to investigate parallelograms. They measure lengths, angles, and slopes to identify properties of parallelograms.
Performance
Radford University

Filling Up a Swimming Pool Task

For Teachers 9th - 12th Standards
Swimming pools are no fun without water. For a pool in the shape of a trapezoidal prism, scholars first calculate the amount of water needed to fill the pool. They use experimental data on water flow to determine whether to haul water...
Performance
Radford University

Confetti Task

For Teachers 9th - 12th Standards
Using the net of a can, learners develop formulas for the surface area and volume of a cylinder. They then apply their formulas to solve problems about a cylindrical container used to disperse confetti.
Performance
Radford University

Plumbing Task

For Teachers 9th - 12th Standards
Make sure it flows smoothly. Pairs research plumbing codes to find the required slope for a sewer line. Using the information, groups answer several questions involving interpreting the slope. Pupils determine the cost of pipe to run a...
Performance
Radford University

Tuition Cost Activity

For Teachers 9th - 12th Standards
Can I afford to go to college? Small groups design a method to research college tuition for several years and make a prediction of costs in 2025. Classmates plot the the data on a scatter plot and graph the line of best fit to make their...

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