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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...
EngageNY
Sine and Cosine of Complementary Angles and Special Angles
Building trigonometric basics here will last a mathematical lifetime. Learners expand on the previous activity 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 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
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...
Pennsylvania Department of Education
Length and Perimeter
Third graders explore tessellations and the spatial concepts used in creating them. In this tessellations lesson, 3rd graders rotate, reflect and transform shapes to create tessellations. Students become familiar with the...
Curated OER
Size Riddles
Students investigate shapes and sizes by creating a riddle. In this geometry lesson, students read one of two books and investigate facts about an object's size. Students write a riddle using the facts they have read and cut...
Curated OER
Bedroom Floor Plan
Students identify and compare the characteristics of floor plans and zoning to family activities and needs. They draw an accurate floor plan--either existing or a work in progress to scale. Then, students roughly sketch their bedroom...
Curated OER
Who Let the Dogs Out?
Students examine the concepts of area and perimeter and how they relate to a rectangle. They find the largest possible area that can be enclosed by a fixed perimeter and complete a worksheet as well as create a table of all the possible...
Curated OER
Burger King Investigation
Students study data on the nutritional value of Burger King meals in order to discover its nutritional value and also to compare the meals, using mathematical computation, to the recommended daily diet. In this data handling lesson...
Curated OER
Finding the Sum of the Exterior and Interior Angles of a Polygon
Students find the sum of the angles of a polygon and construct a polygon given the number of sides. In this polygon lesson plan, students draw large polygons on the floor of the room. They measure the length of each side and the interior...
Curated OER
Tantalizing Tangrams
Young scholars explore "area." In this tangram geometry and measurement lesson, students arrange tangram pieces to find the area of characters presented in a story they listen to on a website. Website information and related...
Curated OER
Deep Sea Drilling
Students explore ocean vessels that drill the ocean floor. For this ocean drilling lesson, students watch videos about drilling the ocean floor and discuss. Students get into groups, go outside and use string to mark off the...
Curated OER
Metric Meals
Sixth graders investigate metric measurements. In this metric measurement activity, 6th graders explore mass, capacity, and length. Students examine graduated cylinders and balance scales to obtain measurements. Resources are provided.