EngageNY
Prove the Pythagorean Theorem Using Similarity
Amaze your classes with the ability to find side lengths of triangles immediately — they'll all want to know your trick! Learners use the Pythagorean Theorem and special right triangle relationships to find missing side lengths.
EngageNY
The Converse of the Pythagorean Theorem
Is it a right triangle or not? Introduce scholars to the converse of the Pythagorean Theorem with a lesson that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with given...
EngageNY
Converse of the Pythagorean Theorem
Discover a new application of the Pythagorean Theorem. Learners prove and apply the converse of the Pythagorean Theorem in the 17th lesson in a 25-part series. The examples ask learners to verify right triangles using the converse...
Curated OER
What's the Perimeter?
Find the perimeter of squares and rectangles with a straightforward worksheet. An example at the top of the page shows third graders how to find the perimenter, along with the addition problem necessary to find it. Pupils then work on...
Code.org
Bytes and File Sizes
A bite of bits. The first lesson in a unit of 15 introduces the class to the byte. Pupils learn about other standard units for measuring file sizes, develop an understanding of relative sizes and the kind of units used to measure...
101 Questions
Marine Ramp
Boat ramps move with waves and changes in water level. Scholars decide on the proper length for a ramp so the angle connecting both sides is appropriate. They visualize the situation and use a simulation to view the results with their...
Radford University
Marking Starting Locations for the 400-Meter Dash Track and Field Event
No fair! I had to run more than they did! Young mathematicians first measure various lengths on a school track. They develop strategies and show calculations to prove that all participants will run the same length using a staggered...
Teach Engineering
Swinging Pendulum
Get into the swing of things. Pupils use a pendulum to demonstrate the conversion of potential energy to kinetic energy and back. After measuring the speed of a pendulum and compare it to the calculated theoretical speed, they...
Teach Engineering
Slinkies as Solenoids
What does an MRI machine have to do with a slinky? This activity challenges learners to run a current through a slinky and use a magnetic field sensor to measure the magnetic field. Groups then change the length of the slinky to see...
Concord Consortium
Pendulum
Add some zing to your swing! Explore pendulum motion through an engaging interactive. Physical science scholars specify the pendulum's mass, rod length, and starting angle before they observe the resulting angle graph.
EngageNY
Proving the Area of a Disk
Using a similar process from the first lesson 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 circumference...
EngageNY
Law of Cosines
Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...
EngageNY
Truncated Cones
Learners examine objects and find their volumes using geometric formulas in the 21st installment of this 25-part module. Objects take the shape of truncated cones and pyramids, and individuals apply concepts of similar triangles to find...
101 Questions
Rotonda West, FL
The shortest distance from point A to point B is a straight line—or is it? Young scholars determine the shortest route either along a circular path or through the center of the circle. Learners gain a unique perspective on arc length and...
Magic of Physics
Shadows
Sunrise, sunset ... swiftly move the shadows! Pupils practice comparing shadow length data with a hands-on activity. The resource allows users to examine and measure the shadow cast by a stick as the sun moves overhead before testing...
Flipped Math
Addition Postulate
Add a little algebra to the geometry. Class members learn about the Addition Postulate for segments and angles. The pupils use their knowledge of solving equations to find lengths of segments and measures of angles. Individuals apply...
Curated OER
What Time Is It? Part 2
Tell time to the half hour with these analog clocks! The first six problems invite first graders to write the correct times below, while the second set of problems provide the time and empty clock faces. A great way to review your time...
LABScI
Conservation of Momentum: Marble Collisions
What happens to the momentum of an object when it strikes another object? Scholars roll a marble down a ramp so it collides with another marble. By measuring the speed of each marble before and after the collision, pupils answer this...
Yummy Math
2015 Macy's Thanksgiving Parade
Take a seat on the parade route with a holiday-themed set of word problems. Young mathematicians answer questions based on the annual Macy's Thanksgiving Parade in New York City, including finding the average number of members in a...
Curated OER
Column Addition, 3-Digit and 4-Digit Numbers
Show scholars that if they can add two multi-digit numbers, they can add four! They complete 20 practice problems adding three and four-digit numbers. All the equations have four addends and include units. All numbers are whole numbers....
Curated OER
Comparing Areas
Before your scholars know how to multiply side lengths to find an area, give them some practice in simply counting units. They examine shapes that have already been segmented into units, counting them to get the area. There are three...
Mathed Up!
Similar Shapes
Similar shapes are all about the scale. Given seven problems, pupils use scale factors to determine measurements within similar shapes. While solving the problem, scholars also determine whether two figures are similar and use...
Radford University
Discover Radians!
No need for radians to be mysterious. Scholars use a cardboard cut-out of a unit circle and measure the radius and circumference using a piece of string. They consider the number of radii needed to cover the entire circumference and use...
American Statistical Association
Who Has the Longest First Name?
Name that statistic! Classmates each write their name and the number of letters in it on a sticky note to place on the board. As a class, they determine the median, mode, and range of the name lengths, and create a dot plot of the data....
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