Mathematics Assessment Project
Bestsize Cans
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus required.
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...
Purdue University
Plastic Water Bottle Design – What’s the Best Shape?
Join the fight to reduce plastic waste. A hands-on STEM activity first teaches scholars about the scourge of plastic waste. They then measure the dimensions of water bottles to calculate surface areas and volumes before using the surface...
Radford University
Green Acres is the Place to Be!
Nurture a love of math and farming at the same time. Pupils apply geometry concepts, such as surface area and volume of three-dimensional shapes and similarity ratios, to farming contexts. They consider the dimensions of bales of hay,...
Radford University
Fun with Solids
Geometry is all around us—if we're only willing to look. The final three activities of the Fun with Solids unit continue work on surface area and volume. For lesson three, scholars investigate the formulas for spheres and solve a problem...
Radford University
Fun with Solids
Cakes offer a yummy way to learn about math. Scholars use manipulatives to discover the formulas for the surface area and volume of prisms and cylinders. They use their formulas to calculate the amount of cake mix and frosting necessary...
Radford University
Sand Castle
Don't let the task slip through your fingers like sand. Scholars design sand castles using hemispheres, pyramids, cones, and cylinders of different sizes. They calculate the volume and surface area and consider how changing the...
Radford University
Confetti Task
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.
Radford University
How Do I Design a Raised Bed Garden to Accommodate My Plants?
Give plants the best place to grow. Given constraints on plant spacing, pupils design a raised bed garden using graph paper, then calculate the perimeter, surface area, and volume. They use the provided costs of lumber and soil to...
Curated OER
Find the Surface Area of Solids
In this online math worksheet, students calculate the surface area of a variety of solid figures. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A terrific...
Curated OER
Geometry Worksheets - Surface of Sphere
In this online math worksheet, students calculate the surface area of a variety of spheres. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A terrific teaching tool!
Curated OER
Geometry, Measurement & Reasoning
Students measure prisms and determine their volume. In this measurement and reasoning activity, students estimate the volume and area of prisms. They measure given boxes. Students use paper to create prisms and cylinders. They determine...
Curated OER
New Boxes From Old
Students find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new, cube-shaped box...
Curated OER
3D Shapes
In this 3D shapes worksheet, 10th graders solve and complete 5 various types of problems. First, they find the area of the logo item shown. Then, students find the height of a cuboid given its length and width. In addition, they circle...
Curated OER
NetsS.A. of Prisms
Young scholars build nets of three-dimensional prisms based on the dimensions they are given for hexagonal prism, triangular prism, rectangular prism. Working in groups, they use their prisms and calculate the Surface Area and Lateral Area.
Curated OER
Spheres Homework
In this spheres instructional activity, students determine the volume and area of spheres when given the diameter or radius. This one-page instructional activity contains 10 multi-step problems.
Curated OER
Measurement
In this measurement worksheet, 7th graders solve 14 various types of problems that include completing a table with the base, height, and/or area of triangles and solving a number of word problems with measurement. They also estimate the...
Curated OER
Chemical Reaction Rates
High schoolers observe demonstrations to show factors that affect rates of chemical reactions. For this rates of chemical reactions lesson, students investigate how catalysts, reactant concentrations, temperature and surface area affect...
101 Questions
Dandy Candies
Package design is an economic necessity. Young scholars assume the role in an interesting inquiry-based lesson. Given 24 cubic shaped candies to package, they must determine the arrangement that uses the least amount of cardboard to...
Teach Engineering
Penny Perfect Properties (Solid-Liquid Interations)
I can get more water to stay on a penny than you can! Collaborative pairs determine the volume of liquids that can be contained on the surface of copper pennies and plastic coins. The pairs analyze their results using graphs and go on to...
Noyce Foundation
Parallelogram
Parallelograms are pairs of triangles all the way around. Pupils measure to determine the area and perimeter of a parallelogram. They then find the area of the tirangles formed by drawing a diagonal of the parallelogram and compare their...
Mathematics Assessment Project
Evaluating Statements About Enlargements
Double, toil ,and double linear dimensions. Learners first complete an assessment investigating how doubling linear dimensions affects the area of pizzas and the volume of popcorn containers. They then complete an activity investigating...
Houghton Mifflin Harcourt
Unit 7 Math Vocabulary Cards (Grade 6)
Thirty-eight flashcards make up a set designed to reinforce math vocabulary. Two types of cards can be found here; a word card in bold lettering, and a corresponding definition card that offers a labeled example. Terms include area,...
Curated OER
Calculating Volumes
In this geometry worksheet, learners, calculate the volume given the sides of the shapes. There are 6 questions dealing with volumes.
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