EngageNY
Sequencing Rotations
Discover the result of a sequence of rotations about different centers. Pupils perform rotations to examine the patterns. They also describe the sequence of rotations that performed to reach a desired result in the ninth installment in a...
EngageNY
Similarity and the Angle Bisector Theorem
Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to...
National Nanotechnology Infrastructure Network
Shrink Me!
The incredibly shrinking meter—decimeters to centimeters, to millimeters, and now to nanometers! Learners may have a difficult time visualizing particles on a nanoscale. Help them see a little clearer using a well-designed lesson...
Curated OER
A Mass of Pennies
Learners estimate and determine the number of cents (pennies) that are needed to equal the mass of a variety of common objects. They develop a process for measuring and explore concepts related to units of measurement.
Curated OER
Perimeter: The Distance around a Shape
A few good questions move this lesson right along. Young mathematicians use critical-thinking skills as they learn how to determine the perimeter of various shapes. They determine perimeter first by measuring and adding the lengths of...
Shodor Education Foundation
Triangle Area
While the instructional activity focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in...
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 instructional activity in a 25-part series. The examples ask learners to verify right triangles...
EngageNY
Sine and Cosine of Complementary Angles and Special Angles
Building trigonometric basics here will last a mathematical lifetime. Learners expand on the previous lesson in a 36-part series by examining relationships between the sine and cosine of complementary angles. They also review the...
EngageNY
More About Similar Triangles
Determine whether two triangles are similar. The lesson presents opportunities for pupils to find the criterion needed to show that two triangles are similar. Scholars use the definition of similarity to find any missing side...
Civil War Trust
Map the Civil War
Mapmaking was a very important element in successfully planning attacks on enemies during the Civil War. Guide pupils through the process of pacing to find the average length of their steps, measure the distance between one object...
Teach Engineering
The Amazing Red Planet
Introduce your class to Mars with a resource that provides information about its size, location, length of day, length of year, number of moons, and average temperature. Also includes is information about the lans for past...
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
More on the Angles of a Triangle
Angles and triangles: they're all connected. Uncover the connections between angles in triangles. Scholars learn how to find both exterior and interior angle measures in triangles. The lesson emphasizes the vocabulary related to these...
EngageNY
Cones and Spheres
Explore methods for finding the volume of different three-dimensional figures. The 20th lesson in the 25-part series asks learners to interpret diagrams of 3-D figures and use formulas to determine volume. Scholars must use the...
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...
K20 LEARN
Are We Golden?
Lead your class on a search for precious bones. Using a presentation, the class investigates the golden ratio in art and nature. Groups of pupils measure specific bones and find the average ratio for the class. To further cement the...
EngageNY
The Distance from a Point to a Line
What is the fastest way to get from point A to line l? A straight perpendicular line! Learners use what they have learned in the previous lessons in this series and develop a formula for finding the shortest distance from...
California Academy of Science
Which Way is North?
Who needs a compass to find cardinal directions? Just place a stick in the ground and record the movement of its shadow over the course of a day. Then, measure the shadow lengths in order to determine a north-south line. A simple...
Science 4 Inquiry
Musical Vibes with Palm Pipes
Ancient people used musical pipes as early as the third millennium BCE. Young scientists explore the workings of musical pipes to better understand the relationship with frequency, length of pipe, and sound waves. They determine the...
Curated OER
Riding on a Pendulum
A comprehensive resource gets fourth grade physical scientists making observations about the period of a pendulum and then applying knowledge to a playground swing. Through seven different stations, they will record observations and...
Curated OER
Tools of the Trade
Third graders explore and identify the tools that can be used to measure length, mass/weight, and volume. They discuss how things are measured using different units, and observe the difference between the English and the Metric systems....
Pennsylvania Department of Education
Adding Common Fractions
Fourth graders estimate various measurements. In this lesson on measurement, 4th graders estimate the length and mass of multiple objects. Students discuss the difference between a guess and a reasonable estimate and discuss using...
Curated OER
Whatcha Gunna Do When the Hulkster's Measuring Too??
Learners measure using tools they have made. In this algebra lesson, students measure the height and distance using non-traditional measuring methods. They apply their findings to algebra and trigonometry properties of measurements.