EngageNY
Examples of Functions from Geometry
Connect functions to geometry. In the ninth installment of a 12-part module, young mathematicians create functions by investigating situations in geometry. They look at both area and volume of figures to complete a well-rounded lesson.
Nuffield Foundation
Effect of Size on Uptake by Diffusion
Cell size is limited by the surface area to volume ratio, but why is this true? Scholars measure the surface area and volume of cubes before placing them into liquid. After a set amount of time, they measure the uptake by diffusion for...
101 Questions
Girl Scout Cookies
How many Girl Scout cookies can you fit in a trunk? Learners consider this question after watching a video of an SUV being filled to the top with single boxes of the cookies. They use measurements of the trunk and the box of cookies to...
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.
101 Questions
Shorter Shovels
Learners won't have to dig themselves out of a hole thanks to an insightful video. Using the movie Holes as inspiration, individuals must determine the difference in the number of holes dug when digging with a shorter shovel. Because the...
Curated OER
Volume and Surface Area
In this volume and surface area worksheet, 10th graders solve and complete 12 different types of problems. First, they find the volume and total surface area of a given circle. Then, students find the height and radius of a cylinder...
Curated OER
Volume and Surface Area
In this volume and surface area worksheet, 10th graders solve and complete 12 different types of problems. First, they find the volume of an isosceles trapezoid. Then, students find the volume and total surface area of a sphere. They...
Curated OER
WS 5.2 Kinetic Theory-Temperature and Volume
In this kinetic theory worksheet, students are given fifteen questions about gases and their kinetic energy, how temperature effects kinetic energy, and the results of changing conditions of gases on the kinetic energy. They convert from...
Curated OER
Worksheet 30 - Definite Integrals
In this integral worksheet, students find the volume of solids, compute definite integrals, and identify the limit of the terms. This one-page worksheet contains 7 multi-step problems.
Pennsylvania Department of Education
Determine Volume of Solids Using Water Displacement
Students explore math functions by completing math equation worksheets. In this inequality lesson, students define a list of math terms and discuss the difference between an equation and inequality. Students utilize a real life situation...
Curated OER
Capacity and Volume
Second graders estimate capacities, compare pints and quarts, and identify pints and quarts.
Curated OER
DENSITIES OF REGULARLY SHAPED SOLIDS
Young scholars calculate the volumes of regularly shaped objects from measurements of their dimensions. They use several formulas and measure different objects to calculate the density, volume, and mass of the objects selected or assigned.
Curated OER
Solids in Bottles
Learners use funnels to put the five solid materials into clear bottles with caps. They observe how the particulate materials look, sound, and move when they shake and roll the bottle. Finally, students write "sound and touch" poetry.
Curated OER
Surface Area and Volume of a Cylinder
Seventh graders find the surface area and volume of a cylinder. In this area and volume lesson, 7th graders complete several activities to learn the volume and surface area of cylinders.
Curated OER
Gases, Liquids And Solids
Students investigate how gases are different from solids and liquids and that they can evaporate and condense. They observe water boiling in a teapot and discuss what happens when the steam touches a cold window, complete an online Heat...
Curated OER
Water Alchemy
After reading "Aquatic Alchemy," an article about recapturing water for reuse when in space, your class will use calcium hydroxide or hydrated lime to purify cloudy water. Geared toward high school chemistry or environmental science...
Curated OER
Who Wants to be a Millionaire? Changing State
A teacher with talent has created a fun set of review questions on the changing states of matter. Cycle through 15 questions, multiple choice answers, and a monetary reward for guessing correctly. Use this game show PowerPoint to help...
Curated OER
Two for One Box Company
Here is a challenging and thought-provoking math worksheet. In it, learners work together to construct a variety of boxes of different sizes to see if doubling the size of a box really means it can hold twice as much stuff as the...
Curated OER
The Art of Science: Glitter Bottles and Oobleck
After having a class discussion on the three states of matter, young scientists utilize the wonderful substance, Oobleck in order to experience something that changes states of matter. They also create "sparkle jars" which...
Curated OER
Poly-Mania
This hands-on lesson takes young geometers on a tour of 2D polygons and 3D polyhedrons. After exploring different web resources and discussing geometric shapes, small groups construct models of polyhedrons using bendable straws. Note:...
Noyce Foundation
Piece it Together
Score some problems all related to soccer balls. The first few problems focus on pattern blocks to see relationships between figures. More advanced problems focus on actual soccer balls, the patterns on the balls, and their volumes and...
College Board
2008 AP® Calculus AB Free-Response Questions Form B
How would those items score? The resource provides pupils an opportunity to answer actual free-response questions and determine their scores. Items from the AP® Calculus AB exam from the 2008 administration demonstrate how topics appear...
College Board
2007 AP® Calculus AB Free-Response Questions Form B
What do the questions look like? Six free-response questions provide pupils with knowledge of how calculus topics appear on the AP® Calculus exam. The questions involve calculator and non-calculator problems by providing mathematical and...
Curated OER
A Cone and Its Net
Create and investigate nets for solid shapes with your class. They identify the different parts and faces of each polygon and solid then calculate the surface area and volume of cones. They use circle sectors of varying sizes to build...