EngageNY
Scaling Principle for Volumes
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...
EngageNY
Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
EngageNY
General Pyramids and Cones and Their Cross-Sections
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...
EngageNY
Three-Dimensional Space
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...
EngageNY
Proving the Area of a Disk
Using a similar process from the first instructional activity in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the...
EngageNY
Properties of Area
What properties does area possess? Solidify the area properties that pupils learned in previous years. Groups investigate the five properties using four problems, which then provide the basis for a class discussion.
EngageNY
What Is Area?
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and...
EngageNY
How Do 3D Printers Work?
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...
EngageNY
The Volume of Prisms and Cylinders and Cavalieri’s Principle
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two...
EngageNY
General Prisms and Cylinders and Their Cross-Sections
So a cylinder does not have to look like a can? By expanding upon the precise definition of a rectangular prism, the lesson develops the definition of a general cylinder. Scholars continue on to develop a graphical organizer...
EngageNY
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.
Kentucky Educational Television
The Road to Proportional Reasoning
Just how big would it really be? Young mathematicians determine if different toys are proportional and if their scale is accurate. They solve problems relating scale along with volume and surface area using manipulatives. The...
DePaul University
Contrast and Evaluate Fact and Opinion
How can you tell when an author is expression an opinion or stating a fact? Use two short reading selections to emphasize the difference between a statement that you can prove and one that you can't. The first passage explains food...
DePaul University
Bold Plans, Big Dreams, City Progress
Determining which statements represent fact or the author's opinion in an integral part of reading informational text. Encourage seventh graders to read a passage about Barack Obama and the city of Chicago, as well as a passage focused...
DePaul University
Seasons on the Prairie
Fact and opinion passages inform readers about the seasons on the prairie and Zambia in Southern Africa. Then, test scholar's knowledge with multiple choice and short answer questions.
DePaul University
Chicago Changes
Scholars determine statements as fact or opinion in a practice page consisting of two reading passages followed by multiple choice and short answer questions. Fact and opinion passages detail information about Chicago and Ethiopia.
McGraw Hill
Writing Prompts, Student Rubrics, and Sample Responses
Whether you are teaching mainstream, advanced, or intervention language arts classes, you will find something helpful in a thorough writing packet. It includes prompts, rubrics, responses, helpful hints, graphic organizers, and many...
ESL Library
Muhammad Ali
"Float like a butterfly, and sting like a bee" with a resource about the greatest boxer of our generation. A short biographical reading passage introduces young readers to Muhammad Ali, and includes information about his early life...
MENSA Education & Research Foundation
Fabulous Fibonacci and His Nifty Numbers
Fibonacci numbers are not only found in the classroom but also in nature. Explore the concept of Fibonacci numbers through a series of lessons designed to gain insight into the mathematical reasoning behind the number pattern, and spark...
MENSA Education & Research Foundation
Ecosystems
Explore the Earth's different ecosystems through four lessons, an assessment, and extension activities. Lessons include informative text and step-by-step instructions to apply knowledge in interactive, and thought provoking ways; such as...
MENSA Education & Research Foundation
Hurricanes
Learn the ins and outs of hurricanes through a series of lessons answering, "What is a hurricane? How does it travel? How is one formed, measured, and named?" Information is presented through informative text and images, while...
MENSA Education & Research Foundation
The Moon: Earth’s Dependable Neighbor
Scholars become experts on the moon, its phases, and craters with a series of lessons, activities, and extension opportunities. Learners' expert level of knowledge includes moon facts, how moon craters are created, the ability to...
MENSA Education & Research Foundation
Kingdom Animalia: Classifying Animals
Six lessons, extension activities, and an assessment make up a series of lessons curated to reinforce the concept of classifying animals. Each informative and interactive lesson plan attributes to the knowledge of the seven levels of...
MENSA Education & Research Foundation
Book Review Writing: a Guide for Young Reviewers
Encourage scholars to share their love of reading with informative and engaging book reviews. Here, you'll find a series of guides that walk learners through the review writing process. Included in the collection is information about...