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Videos (Over 2 Million Educational Videos Available)
The Circulatory System Part 1: The Heart Video
8:55
The Circulatory System Part 1: The Heart
Ancient Egypt | What Everyday Life Was Actually Like Video
9:28
Ancient Egypt | What Everyday Life Was...
Algebra 50 - Three Variable Systems in the Real World - Problem 2 Video
10:23
Algebra 50 - Three Variable Systems in the...
Other Resource Types (137)
Lesson Planet

High School Balanced Packet 1 Assessment Tasks

For Students 9th - 12th Standards
Are you looking for assessment tasks for Algebra 1, Algebra 2, or geometry? Check out this collection of 20 assessment tasks designed for high schoolers. Problems are presented with an open-ended format allowing students to use multiple...
Lesson Planet

The Physics of Fluid Mechanics

For Students 9th - 12th Standards
In this collection, Pascal’s law, Archimedes’ Principle, and Bernoulli’s Principle aid young engineers in understanding the physics of fluid mechanics. Armed with the knowledge of how forces are applied to fluids, scholars design...
EngageNY

EngageNY Geometry Module 3: Extending to Three Dimensions

For Teachers 9th - 12th Standards
Building on the understanding of congruence studied in Module 1 and on similarity studied in Module 2, the 14 lessons  in the Module 3 collection focus on developing a bridge  from geometric measurement in two dimensions to understanding...
10 Items in Collection
Lesson Planet

Measurement: Distance Relations

For Teachers 9th - 12th Standards
Never miss a centimeter with a set of measurement lessons and activities, focusing on area and perimeter. From practice sheets to collaborative games, your high schoolers will love geometry!
8 Items in Collection
Lesson Planet

Middle School Math Handouts

For Teachers 6th - 8th Standards
Need a hand with handouts? Here are several guides that offer help where help is most needed. Full of formulas and examples, there's something in this collection for everyone. 
1 In 1 Collection
Lesson Planet

Using Linear Equations to Define Geometric Solids

For Teachers 9th - 12th Standards
Making the transition from two-dimensional shapes to three-dimensional solids can be difficult for many geometry students. This comprehensive Common Core lesson plan starts with writing and graphing linear equations to define a bounded...
Lesson Planet

Sorting Equations of Circles 2

For Teachers 9th - 12th Standards
How much can you tell about a circle from its equation? This detailed lesson plan focuses on connecting equations and graphs of circles. Learners use equations to identify x- and y-intercepts, centers, and radii of circles. They also...
Lesson Planet

Fill ‘er Up

For Students 9th - 12th Standards
New ReviewDrink in a lesson on volume. Individuals first view a video clip where a conical cup is used to pour water into a water cooler jug. Using provided dimensions of the cup and the jug, they estimate the number of cups required to fill the...
Lesson Planet

Alpaca Lunch

For Teachers 9th - 12th Standards
Feed the need for knowledge. Future mathematicians first consider how the lateral area of a rectangular prism relates to its volume. They then design a container for alpaca food that has the maximum volume possible from a given sheet of...
Lesson Planet

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.
Lesson Planet

Sand Castle

For Teachers 8th - 12th Standards
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...
Lesson Planet

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...
Lesson Planet

Exploring Coal Pillar Mining

For Teachers 9th - 12th Standards
Coal mines can be a gold mine of math applications. After reading some basic information on coal mining, learners draw blueprints of a coal pillar in the shape of a composite figure. They find the volume of material from the coal pillar...
Lesson Planet

Choosing the Best Cylinders

For Teachers 9th - 12th Standards
Don't be fooled: the taller glass doesn't always hold the most. Given the dimensions of different cylindrical containers for beverages and popcorn, pupils calculate the volumes. They see how changing the dimensions affects the volume and...
Lesson Planet

Lemonade Business - Investigating Surface Area and Volume of Containers

For Teachers 9th - 12th Standards
Boost lemonade sales by using the perfect container. For a given volume, future entrepreneurs design a container that will have the least surface area and by extension, the least cost of material. They create a two-dimensional net of...
Lesson Planet

Swimming Pool Dilemma

For Teachers 9th - 12th Standards
Different shape, same volume—that's quite a challenge! Scholars design a pool for an imaginary client using three-dimensional figures. They must then create a second pool for another client with the same volume, but using different shapes.
Lesson Planet

A Day at the Beach!

For Teachers 9th - 12th Standards
Make math class feel like a day at the beach (minus all the sunburns, of course). Given information about a pail, a soup can, and a plastic pyramid mold, pupils calculate the volume of sand that can fit in each. They then design sand...
Lesson Planet

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...
Lesson Planet

Building Sandcastles

For Teachers 9th - 12th Standards
Finalize the plans before playing in the sand. Learners design sandcastles using geometric and composite figures. They create blueprints, including the scale, and three-dimensional models of their castles. Finally, scholars calculate the...
Lesson Planet

Build-a-Toy

For Teachers 8th Standards
Don't toy with using a fun lesson. Scholars design new toys and then create scale drawings. They determine the volume and surface area of the toys, and then research prices of raw materials to estimate the manufacturing costs.
Lesson Planet

Green Acres is the Place to Be!

For Teachers 9th - 12th Standards
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,...
Lesson Planet

Surface Area and Volume

For Teachers 9th - 12th Standards
Who knew there were pyramids in China? Learners apply surface area and volume formulas to several different real-world situations. They calculate the volume and surface area of an aquarium, an ice cream cone, and Egyptian and Chinese...
Lesson Planet

Fun with Solids

For Teachers 9th - 12th Standards
Unlike a volcano, the lesson won't blow up in your face. Young mathematicians use dried beans to discover the relationship between the volumes of cones and cylinders and to write a formula for the volume of a cone. They then research...
Lesson Planet

Fun with Solids

For Teachers 9th - 12th Standards
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...
Lesson Planet

Fun with Solids

For Teachers 9th - 12th Standards
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...
Lesson Planet

Building Your Own Home

For Teachers 9th - 12th Standards
Building a home means mastering math. Scholars apply various math topics to situations associated with the construction of a home. They consider the volume of concrete needed for a foundation, the perimeter and area of blueprints, the...
Lesson Planet

Down on Sue's Farm

For Students 9th - 12th Standards
When would a farmer use math? Class members work through five tasks on a farm that require knowledge of surface area, volume, and determining regression equations. The challenges range from figuring out the amount of paint to buy,...
Lesson Planet

2 and 3 Dimensional Shapes

For Students 9th - 12th Standards
Take a similar approach to three dimensions. Pupils develop the relationship between areas of similar objects and see how they relate to the ratio of the sides. Building upon area formulas, small groups put together volume formulas for...
Lesson Planet

Next Top Model

For Students 9th - 12th Standards
Create a world of similar models. The geometry and measurement unit uses real-world scenarios to create models of familiar buildings and rooms. Scholars work with blueprints and scale models to compare areas and volumes between the...
Lesson Planet

The Puppy’s Empire

For Teachers 9th - 12th Standards
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...
Lesson Planet

Designing Euclid’s Playground

For Teachers 10th Standards
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...
Lesson Planet

Functional Maths Questions

For Students 7th - 11th Standards
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...
2:13
Lesson Planet

Volume of a Pyramid

For Students 6th - 11th Standards
All you need is the formula. Given the formula, a short video show how to find the volume of a rectangular prism. The presenter explains the different variables of the formula and uses it to find an unknown height. Worksheets provide...
1:03
Lesson Planet

Volume of a Sphere

For Students 6th - 11th Standards
The volume of a snowball's chances in ... Using a snowball, the video introduces the formula for finding the volume of a sphere. The presenter then talks the class through the process of finding the volume after determining the length of...
3:21
Lesson Planet

Volume of a Cone

For Students 6th - 11th Standards
Is it possible to find the volume of a cone? Of course! Using the formula for the volume of a cone, the video shows how to calculate an exact and an approximate answer for a cone's volume. The worksheets challenge pupils to perform...
4:41
Lesson Planet

Volume of a Cylinder

For Students 6th - 11th Standards
Circle up the base. Using the formula for the volume of a cylinder, the presenter calculates the volume of a given cylinder. The video shows that the volume formula for a cylinder and the volume formula for a prism arrive at the same...
1:40
Lesson Planet

Volume of a Prism

For Students 6th - 11th Standards
Not all prisms are cubes. A short video introduces the definition of a prism and uses that definition to create a general volume formula. Worksheets provide pupils several opportunities to practice finding the volume of a wide variety of...
1 In 1 Collection
Lesson Planet

Smarter Balanced Sample Items: High School Math – Claim 3

For Teachers 9th - 12th Standards
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...
1 In 1 Collection
Lesson Planet

Smarter Balanced Sample Items: High School Math – Claim 2

For Teachers 9th - 12th Standards
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...
Lesson Planet

Swimming Pool II

For Students 10th - 12th Standards
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...
Lesson Planet

Module 5: Circles A Geometric Perspective

For Teachers 9th - 12th Standards
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...
Lesson Planet

Swimming Pool I

For Students 9th - 11th Standards
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...
Lesson Planet

Bill the Ball Bearing Man

For Students 10th - 12th Standards
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...
Lesson Planet

Golf Balls

For Students 9th - 12th Standards
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.
Lesson Planet

Pyramid of Pennies

For Teachers 9th - 12th Standards
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.
Lesson Planet

Penny Wars

For Teachers 6th - 10th Standards
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...
Lesson Planet

Pea Problem

For Students 8th - 12th Standards
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.
Lesson Planet

Abundant Aluminium

For Students 9th - 12th Standards
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...
Lesson Planet

2010 Guatemalan Sinkhole

For Teachers 9th - 12th Standards
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.
Lesson Planet

Water Tank Filling

For Teachers 9th - 12th Standards
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.
Lesson Planet

Geometry 3D Shapes: Test Your Skills

For Students 6th - 10th Standards
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...
Lesson Planet

Geometry 3D Shapes: Surface Area and Volume

For Students 6th - 10th Standards
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...
Lesson Planet

You Pour, I Choose

For Teachers 9th - 12th Standards
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...
Lesson Planet

Buoyant Boats

For Teachers 7th - 9th Standards
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...
Lesson Planet

Determining Densities

For Teachers 7th - 9th Standards
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...
Lesson Planet

Floaters and Sinkers

For Teachers 7th - 9th Standards
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...
7:07
Lesson Planet

Composite Solids: Lesson

For Students 8th - 11th Standards
Combine the formulas to arrive at one volume. Using the formulas for different solids, the video introduces finding the volume of composite solids. The portion of an extensive playlist on geometry works a couple of problems, one with an...
4:24
Lesson Planet

Spheres: Lesson

For Students 8th - 11th Standards
Unwrap the surface of a sphere. A section of an extensive geometry playlist introduces the formulas for finding the surface area and volume of a sphere. The video includes a clip of how the surface area formula is developed by unwrapping...
3:57
Lesson Planet

Pyramids: Lesson

For Students 6th - 12th Standards
Pyramids: they're not just in Egypt! The segment of a large geometry playlist introduces the formulas to find the volumes and surface areas of regular pyramids. Using the formulas, the presentation works several examples to ensure your...
3:37
Lesson Planet

Cones: Lesson

For Students 8th - 11th Standards
Just how much ice cream will the cone hold? The video provides the formulas to find the surface area and the volume of cones. Using example problems, the section of a geometry playlist shows how to use the formulas to find the surface...
2:34
Lesson Planet

Cylinders: Lesson

For Students 7th - 11th Standards
The solid is the same as a prism ... well, almost. The presentation makes connections between finding the volume and surface area of cylinders to prisms. Using the newly derived formulas, the portion of a large geometry playlist...
Lesson Planet

Raspberry Chocolate Heart Cake

For Students 6th - 9th Standards
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...
Lesson Planet

Water Bottle Unit

For Teachers 9th - 12th Standards
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...
Lesson Planet

Cape Florida Lighthouse: Lore and Calculations

For Students 9th - 12th Standards
Analyze the Cape Florida Lighthouse with a little mathematics! Combining different aspects of cones, pupils calculate the volume of the building materials needed to build the lighthouse and then the surface area of the outside. Because...
Lesson Planet

Sports Drinks

For Students 9th - 12th Standards
Drink it all in. By applying the volume formulas, learners determine the amount of a sports drink that fits into a cylindrical cooler. They compare this volume to that of 24 individual containers.
Lesson Planet

Snow Cones

For Students 9th - 12th Standards
Snow cones: more volume with cones or cups? Individuals find the volume of a cone and a cylindrical cup from diagrams. They compare the volumes to answer the opening question.
Lesson Planet

Softball Complex

For Students 9th - 12th Standards
Before we can take you out to the ball game, there needs to be a field on which to play. Future mathematicians design a softball complex given several criteria. They then create a scale drawing of this complex.
Lesson Planet

Volume of Pyramids: Fluctuating Height

For Students 9th - 12th Standards
The height of a pyramid may change, but the usefulness of the interactive will not. Learners drag the apex of a pyramid to change its height. They then answer a set of challenge questions designed to investigate how changing the...
Lesson Planet

Linear Equations: Deep Dish Pizza

For Students 6th - 9th Standards
Explore the volume of solids with a real-life connection. Learners calculate the volume of a deep-dish slice of pizza to determine its price. They model the slice as a part of a cylinder and create a formula for calculating the cost.
Lesson Planet

Don't Spill the Water!

For Students 9th - 12th Standards
Don't cry over spilled ... water. Scholars find the amount of water that can fit, without spilling, in a cylindrical container that already contains a spherical ball. Of course, pupils must apply the volume formula correctly to determine...
Lesson Planet

Surface Area and Volume

For Teachers 9th - 11th Standards
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
Lesson Planet

Modeling Motion: Rolling Cups

For Students 9th - 12th Standards
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup measurements...
1 In 1 Collection
Lesson Planet

Bathtub Graph

For Students 9th - 12th Standards
Represent the relationship between independent and dependent variables through a modeling situation. The activity expects learners to graph the volume of water in a bathtub during a given scenario. The graph should result in two areas of...
Lesson Planet

Boring a Bead

For Students 11th - 12th Standards
How much material is in a bead? Class members utilize volume formulas to determine the amount of material in a bead. The goal of the assessment is to show that the amount of material left in a bead is the same for all beads with a given...
1 In 1 Collection
Lesson Planet

Surface Tension Lab

For Teachers 10th - 12th Standards
What constitutes a good soap bubble? In the second installment of a nine-part series, scholars apply their understanding of surface tension to soap bubbles. They experiment to determine the best solutions to use for the...
5:03
Lesson Planet

Volume of Spheres

For Students 9th - 12th Standards
Teach classes how to find the volume of spherical solids. A concept video demonstrates the process of finding the volume of a sphere using the formula. Each example presents a variation of the measurements given. 
4:47
Lesson Planet

Volume of Cylinders

For Students 9th - 12th Standards
The world is full of cylinders — you just have to spot them! A video teaches learners how to calculate the volume of a right cylinder. The instructor introduces and discusses the elements of the formula for the volume of the cylinders. 
4:05
Lesson Planet

Volume of Pyramids

For Students 9th - 12th Standards
Help your classes form an appreciation for pyramids like the Egyptians! The instructional video explains the components of a pyramid and the formula for the volume of the pyramid. The example shows how to calculate the volume given...
1 In 1 Collection
Lesson Planet

Above-Ground Storage Tank Design Project

For Teachers 9th - 12th Standards
The challenge: determine whether a tank will float. A design activity has groups work as engineering teams in order to determine the stability of given tanks and liquid contents. The teams need to determine the equations to calculate the...
Lesson Planet

Evaluating Statements About Enlargements

For Teachers 9th - 12th Standards
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...
Lesson Planet

Calculating Volumes of Compound Objects

For Teachers 9th - 12th Standards
After determining the volume of various drinking glasses , class members evaluate sample responses to the same task to identify errors in reasoning.
Lesson Planet

Volume of Three-Dimensional Figures

For Students 8th - 11th Standards
After calculating surface area in the previous lesson in this series, learners use their formula skills to find the volume of the same figures. Scholars find volumes of prisms, pyramids, spheres, cones, and cylinders.
Lesson Planet

Glasses

For Students 8th - 10th Standards
Clink, clink! Young mathematicians investigate drinking glasses composed of known solids (cones, cylinders, and hemispheres). Next, they determine the volumes of these glasses.
Lesson Planet

Funsize Cans

For Students 9th - 11th Standards
Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to solve...
Lesson Planet

Propane Tanks

For Students 9th - 12th Standards
As an assessment task, learners must determine the radius of a new tank that has double the capacity of a given tank. Task tests knowledge of determining volumes of cylinders and spheres.
Lesson Planet

Bestsize Cans

For Students 9th - 11th Standards
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.
Lesson Planet

Three-Dimensional Figures

For Students 8th - 11th Standards
Time to move into the third dimension! Learn the names of the geometric solids and count faces, edges, and vertices. Then learn to recognize nets that create a given solid. 
1:46
Lesson Planet

3-D Solid Properties

For Students 9th - 12th Standards
Let's move into the third dimension! Learners explore the vocabulary and notation related to three-dimensional figures. The video covers examples of pyramids, but the vocabulary is universal to all 3-D objects.
Lesson Planet

Formulas for Elementary and Intermediate Algebra

For Students 6th - 9th Standards
Give your scholars the support they need to work with formulas. A reference page offers definitions and picture examples of perimeter, area, surface area, volume, the Pythagorean theorem, a variety of shapes, and more. 
Lesson Planet

Oh, Chute!

For Teachers 9th - 12th Standards
Using a scare model of the a test vehicle developed by the Systems Architecture and Integration Office at NASA, groups determine the dimensions for a scale model of the parachute compartment. The groups also determine the volume of the...
Lesson Planet

The NBL Pool

For Teachers 9th - 12th Standards
That is a lot of water. Class groups explore the size of the NASA's Neutral Buoyancy Pool and calculate the volume of water needed to fill it. They then compare that volume to the amount of water needed to fill a pool the size of a...
Lesson Planet

Lunar Plant Growth Chamber

For Teachers 9th - 12th Standards
Would astronauts be able to grow their food on the Moon? Teams research plant growth in order to design and build a growth chamber that will function on the lunar surface. They narrow down plant choices based upon their strengths and...
1 In 1 Collection
EngageNY

End-of-Module Assessment Task - Geometry (module 3)

For Teachers 9th - 10th Standards
It's test time! Determine your class's understanding of the topics of volume and cross sections with a thorough assessment on volume, area, and geometric shapes.
1 In 1 Collection
EngageNY

The Volume Formula of a Sphere

For Teachers 9th - 10th Standards
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
1 In 1 Collection
EngageNY

The Volume Formula of a Pyramid and Cone

For Teachers 9th - 10th Standards
Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from previous...
1 In 1 Collection
EngageNY

Scaling Principle for Volumes

For Teachers 9th - 10th Standards
Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same constant. 
1 In 1 Collection
EngageNY

General Pyramids and Cones and Their Cross-Sections

For Teachers 9th - 10th Standards
Are pyramids and cones similar in definition to prisms and cylinders? By examining the definitions, pupils determine that pyramids and cones are subsets of general cones. Working in groups, they continue to investigate the relationships...
1 In 1 Collection
EngageNY

Three-Dimensional Space

For Teachers 9th - 10th Standards
How do 2-D properties relate in 3-D? Lead the class in a discussion on how to draw and see relationships of lines and planes in three dimensions. The ability to see these relationships is critical to the further study of volume and other...
1 In 1 Collection
Lesson Planet

Transportation and Space: Reuse and Recycle

For Teachers 10th - 12th Standards
What can I use in space? The three-lesson unit has groups research what man-made or natural resources would be available during space exploration or habitation. Team members think of ways that resources can be reclaimed or reused in...
1 In 1 Collection
EngageNY

How Do 3D Printers Work?

For Teachers 9th - 10th Standards
If we stack up all the cross sections of a figure, does it create the figure? Pupils make the connection between the complete set of cross sections and the solid. They then view videos in order to see how 3D printers use Cavalerie's...
Lesson Planet

Penny Perfect Properties (Solid-Liquid Interations)

For Teachers 7th - 12th Standards
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...
Lesson Planet

Analytic Geometry Study Guide

For Students 9th - 12th Standards
Are you looking for a comprehensive review that addresses the Common Core standards for geometry? This is it! Instruction and practice problems built specifically for standards are included. The material includes geometry topics from...
Lesson Planet

End-of-Year Practice Test (Geometry)

For Students 9th - 11th Standards
This complete multiple choice and short answer practice end-of-year test for geometry offers a wealth of opportunities for customization. Offer it as a whole, to track progress or prepare the class for the format of the test, or sprinkle...
Lesson Planet

A Day at the Beach

For Teachers 9th - 11th Standards
Sun, sand, ocean, and geometry—what more could a class need? The main activity in this unit has learners calculating the volume of sand-building equipment and beach balls using sphere, cone and cylinder formulas. The real wealth of...
Lesson Planet

Company Logo

For Teachers 9th - 11th Standards
Modern advertising takes a geometric turn with this unit. The final assessment activity leads pupils through the logical analysis of a fictional logo, including the development of a paragraph proof. The wealth of resources leading up to...
Lesson Planet

Doctor's Appointment

For Teachers 9th - 10th Standards
Geometric volume calculations are brought into the real world in a quick set of application problems. Learners are asked to help a patient figure out how to drink a prescribed amount of water both at work and at home. This activity...
Lesson Planet

Centerpiece

For Teachers 9th - 10th Standards
Learners hear wedding bells in this problem set, as they help a fictional bride plan the centerpieces for her wedding reception. Algebra is married to geometry as volume, aesthetics, and budgeting all come into play. Learners are asked...
Lesson Planet

Circles: A Geometric Perspective

For Teachers 10th - 12th Standards
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
2 In 2 Collections
Lesson Planet

Geometry: Shapes and Solids

For Teachers 6th - 10th Standards
An excellent resource for a geometry class, as well as for an electrical engineering course. A thorough reference sheet covers geometric shapes such as triangles, parallelograms, and circles, as well as 3-D shapes and the Pythagorean...
1 In 1 Collection
Lesson Planet

Geometry and Volume

For Teachers 7th - 12th Standards
The history of math is fascinating! Utilize a woodcut primary source image from 1492 and posters from the 1930s to help geometers apply their volume-calculation skills to real-life questions. 
Lesson Planet

Volume of Pyramids and Cones

For Students 6th - 9th Standards
Your learners will get a lot of practice finding volumes of pyramids and cones in this nicely written practice learning exercise. It even has room for them to show their work. The first few pyramids and cones are labeled pictures, while...
Lesson Planet

Fish Tank Problem (Volume)

For Teachers 8th - 11th Standards
This task will give your geometry learners practice solving problems using volume formulas of cylinders and prisms as well as make some fish very happy. The task is to submerge a home for the fish in a tank that is a rectangular prism....
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The Fish Tank Decoration

For Teachers 9th - 12th Standards
This task will give your geometry learners practice solving problems using volume formulas of cylinders and prisms as well as make some fish very happy. The task is to submerge a home for the fish in a tank that is a rectangular prism....
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Pyramid Model

For Teachers 8th - 12th Standards
Seeking to derive the formula for the volume of a square pyramid, geometry learners construct six square based pyramids that, when pieced together properly, form a cube. Two short videos demonstrate the relationship between pyramid and...
1 In 1 Collection
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Pyramids and Cones

For Teachers 8th - 11th Standards
Young mathematicians find the surface area and volume of a square pyramid and a cone. In what looks like a typical activity out of a textbook, you'll find an activity where learners find an unknown measurement of a pyramid or cone,...
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Volume of Pyramid

For Teachers 6th - 11th Standards
Go beyond the basic formulas and uncover the surface area and volume of 3-D shapes with this comprehensive and organized worksheet packet. The problems include the basic formula computations while also challenging your learners to derive...
2 In 2 Collections
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Mathematics Reference Sheet

For Teachers 5th - 10th Standards
Triangles and prisms don't stand a chance when your learners use this handout full of the formulas they need to know about the different shapes. Area, volume, and surface formulas are all covered along with the standard measurement and...
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Manufacturing: Gas Metal Arc Welding (GMAW) Shielding Gas Mix

For Teachers 6th - 12th Standards
Middle schoolers apply math to the real-world skill of choosing the correct shielding gas mixture for welding. Even if you do not have shielding gas cylinders on hand for demonstrating, the concepts of converting percentages into...
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Architecture and Construction: Stair Construction

For Teachers 6th - 12th Standards
Within the context of the construction industry, algebra pros begin to calculate slope from the sizes of stair steps. This is a terrific lesson, especially for aspiring engineers. Just be aware that it might be a stretch to meet all of...
1 In 1 Collection
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Firewood…What is a Cord?

For Teachers 7th - 12th Standards
This is an excellent activity for integrating literacy and geometry. Learners read an actual article that appeared in the December 14, 2010 issue of USA Today. The article discusses how consumers are often short-changed when buying...
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Water Storage Tanks

For Teachers 8th - 11th Standards
Young geometers apply their knowledge of volume of spheres to tackle this real-world problem about the unique water storage tank located on the campus of Montgomery College in Germantown, Maryland. After reading a published article about...
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Fish Tank Problem

For Teachers 8th - 11th Standards
Thomas needs help with his fish tank! He wants to add a large decoration that will serve as a home for the fish in the tank. The decoration is a right solid cylinder with a hole through the middle in the shape of a right square prism....
1 In 1 Collection 5:04
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What is the Formula for the Volume of a Cone?

For Teachers 6th - 9th Standards
All you need are a few values to find the the volume of a cone! Watch an informative math video that guides learners through the formula needed, as well as the relationship between the cone's volume and the volume of other...
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Shape It Up, Ship It Out!

For Teachers 7th - 9th Standards
Middle schoolers determine the volume of three-dimensional figures. In this shape it up activity, learners calculate the volume of a cone, cylinder, and a rectangular prism. They determine the most efficient and cost effective way to...
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Surface Area and Volume of Conics - Cylinders, Cones, and Spheres

For Teachers 8th - 11th Standards
This is a multi-faced unit that looks at circles, arcs, sectors, cylinders, cones, spheres, and hemispheres. The formulas for finding length, area, surface area, and volume are discussed with an eye towards an intuitive understanding....
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Cones and Spheres

For Students 9th - 10th Standards
Geometry whizzes solve and complete 24 different problems that include determining the volume and surface area of spheres and cones. First, they use the given information to determine the volume of a cone. Then, pupils use the given...
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Spheres and Cones

For Students 8th - 11th Standards
Class members learn how to apply formulas for spheres and cones with a video that begins with a review of the formulas for surface area and volume of spheres and cones. Pupils use these formulas to solve problems on a worksheet.
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Packers' Puzzle

For Teachers 9th - 11th Standards
How many oranges can fit in a box? Apply the area and volume formulas learned in middle school to investigate how different arrangements of packing oranges can lead to vastly different answers.
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Defining Volume

For Teachers 8th - 12th Standards
The volume of various solids is explored in five sections with the last being eight example problems including step-by-step solutions. Using Cavalieri’s principle and easy-to-follow direct instructions with colored pictures, the first...
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Maximizing a Paper Cone's Volume

For Teachers 10th - 11th Standards
In this Algebra II/Geometry lesson, young scholars investigate the problem of maximizing the volume of a cone. They build concrete models and calculate the volume. Pupils use technology to construct, gather data, and determine the sector...
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Towers of Steel

For Teachers 9th - 11th Standards
This lesson starts with geometers discussing how to find the volume of a cone and pyramid, using what they know about the volume of a cylinder or prism. Then, using the formulas, they calculate the volume of cones and other conics using...
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Cylindrical Soda Can

For Teachers 10th - 12th Standards
Young scholars explore an application of differentiation in this calculus lesson. They investigate the ideal dimensions for a soda can and, using the symbolic capacity of the Ti-89, investigate the dimensions of the can which has the...
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Screaming for Ice Cream

For Teachers 9th - 12th Standards
Mathematicians investigate maximizing volume by learning to explore the problem in which they seek to maximize the volume of a cone.  Young scholars solve the problem symbolically, graphically, and through the use of integration or...
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Volumes of Rectangular Prisms

For Teachers 9th - 12th Standards
Students determine the volume of a rectangular prism. They then maximize and minimize the volume given variable side lengths.  Finally, they factor the volume equation to determine the side lengths.
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Advanced Algebra with the TI-89

For Teachers 9th - 12th Standards
Pupils investigate the formulas for volumes of various solids using the Ti-89 calculator. The lesson plan focuses on the keying sequences necessary to embed the required volume formula in a program which is then used in the problem...
1 In 1 Collection
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Pennies, Pennies and More Pennies

For Teachers 9th - 11th Standards
Learners determine the number of pennies needed to fill a room.  In this pennies lesson plan, students work in groups to determine the number of pennies needed to fill a room.  They compute the probability of the head of a pin landing on...
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Math TODAY - The New Color of Money

For Teachers 9th - 12th Standards
High schoolers work with large numbers when determining the height of a stack of $20 bills.