Radford University
The Puppy’s Empire
Dogs can't do math ... but people sure can! A set of five lessons has scholars apply math concepts to solve problems related to buying a new dog, such as designing a fence and a dog house, estimating how large the dog will become, and...
New York City Department of Education
Designing Euclid’s Playground
Create a geometric playground. Pupils work through a performance task to demonstrate their ability to use geometric concepts to solve everyday problems. The accompanying engineering design lessons show teachers how the assessment works...
Mathed Up!
Functional Maths Questions
Dang, it's a word problem! Pupils address a variety of word problems that involve knowledge of proportions and geometric topics. The General Certificate of Secondary Education review problems require determining costs based on area...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 3
Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 2
Problem solve across the content standards. The presentation slides provide 19 sample items from the Smarter Balanced high school assessment. Items illustrate Claim 2, problem solving, of the test and are drawn from all the high school...
Concord Consortium
Swimming Pool II
Combine geometry and algebra concepts to solve a modeling problem. Young scholars consider the effect surface area has on volume. They write a cubic function to model the possible volume given a specific surface area and then determine...
Mathematics Vision Project
Module 5: Circles A Geometric Perspective
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
Concord Consortium
Swimming Pool I
Take a dive into a three-dimensional task. Given a specific surface area, individuals must maximize the volume of a cylindrical swimming pool. They combine their understanding of surface area and volume to create a cubic function that...
Concord Consortium
Bill the Ball Bearing Man
Just how durable could a hollow ball bearing be? Learners model the strength of the walls of a ball bearing as a function of the radius of its cavity. They use their models to make reasonable conclusions about the probability of failure...
CCSS Math Activities
Golf Balls
Land on the green with a fun resource. A short performance task asks pupils to consider the volume of containers that hold golf balls. They determine the percentage of empty space of the container for different numbers of golf balls.
101 Questions
Pyramid of Pennies
Go big or go home! Learners watch a video rendition of the creation of a penny pyramid. Their task is to determine the number of pennies in the pyramid. The lesson encourages multiple methods, including function building or volume formulas.
Yummy Math
Penny Wars
As the saying goes, a penny saved is a penny earned. Young scholars use a penny activity to earn their way to an understanding of volume. Given three different-sized cylindrical containers, individuals make calculations to determine the...
101 Questions
Pea Problem
Understanding volume means less mess in the kitchen. Viewers observe a can of peas and a small bowl. They must determine if all of the peas from the can fit into the bowl without spilling using volume formulas to solve the equation.
101 Questions
Abundant Aluminium
That would make a lot of cans! Learners analyze a photo of a truckload of aluminum to determine its value. The provided information includes the weight of a smaller block and the dimensions of the larger block. It's up to your pupils to...
101 Questions
2010 Guatemalan Sinkhole
Dig deep into a lesson studying volume. Learners view images of a Guatemalan sinkhole that seems too big to be true! Their task is to determine the amount of material needed to fill the hole using information from news articles and videos.
101 Questions
Water Tank Filling
Grab your classes' attention with a video presentation of a problem to solve. Young scholars develop a plan to predict the time it takes to fill a tank with water. Video footage provides the statistics they need to make their conclusions.
Annenberg Foundation
Geometry 3D Shapes: Test Your Skills
Time to find out what they've learned! The final lesson of a five-part series has learners complete a 39-question multiple choice review. They use what they've learned in the previous lessons to complete questions that include concepts...
Annenberg Foundation
Geometry 3D Shapes: Surface Area and Volume
Whether you wrap it or fill it, you're using geometric concepts. Classmates use an interactive approach to learn how to find volume and surface area of cylinders and prisms in the second lesson in a five-part series. The online lesson...
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...
Teach Engineering
Buoyant Boats
Eureka! Using the clay boats made in the previous lesson, learners investigate the idea of buoyancy and water displacement to finish the last installment of five in a Floaters and Sinkers unit. Their observations during the activity...
Teach Engineering
Determining Densities
Don't be dense—use a robust resource. The second installment of a five-part Floaters and Sinkers unit has learners determine the densities of several objects. As part of the activity, they learn the displacement method for finding...
Teach Engineering
Floaters and Sinkers
Whatever floats your boat. Young engineers learn about density by measuring the masses and volumes of boxes filled with different materials. Using their knowledge of densities, they hypothesize whether objects with given densities will...
Yummy Math
Raspberry Chocolate Heart Cake
Have you ever finished a piece of cake and wished you had more? Solve this common dilemma with math! A straightforward worksheet prompts middle schoolers to use the given dimensions of a heart-shaped cake when planning to bake two larger...
Beyond Benign
Water Bottle Unit
How much plastic do manufacturers use to create water bottles each year? The class explores the number of water bottles used throughout the years to determine how many consumers will use in the future. Class members compare different...