Interactive
National Council of Teachers of Mathematics

Scale Factor

For Students 6th - 12th Standards
Does doubling mean everything doubles? Learners adjust the scale factor between two rectangles. Using the calculated measurements, pupils investigate the ratios between the lengths, perimeters, and areas of the rectangles.
Lesson Plan
EngageNY

Fundamental Theorem of Similarity (FTS)

For Teachers 8th Standards
How do dilated line segments relate? Lead the class in an activity to determine the relationship between line segments and their dilated images. In the fourth section in a unit of 16, pupils discover the dilated line...
Lesson Plan
Science Matters

Richter Scale

For Teachers 6th Standards
The 12th lesson plan in a series of 20 opens with a demonstration of exponential functions using pasta. This concept is connected to the Richter Scale, which is also an exponential function. Scholars compare the exponential scale that...
Unit Plan
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Curated OER

Earthquakes: Fourth Grade Lesson Plans and Activities

For Teachers 4th Standards
Examine earthquake intensities and ways to measure an earthquake through the comparison of the Mercalli and Richter scales. After completing the pre-lab worksheet, fourth graders compare high and low intensity quakes by testing...
Unit Plan
Mathematics Vision Project

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...
Lesson Plan
EngageNY

Modeling Using Similarity

For Teachers 8th Standards
How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...
Lesson Plan
EngageNY

Informal Proof of AA Criterion for Similarity

For Teachers 8th Standards
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...
Lesson Plan
EngageNY

More About Similar Triangles

For Teachers 8th Standards
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...
Lesson Plan
Curated OER

Roller Coasters

For Teachers 3rd - 7th
Twisting and turning through the sky, roller coasters are popular attractions at amusement parks around the world, but how exactly do they work? Explore the physics behind these thrilling rides with an engineering design activity....
Lesson Plan
Cornell University

Casting

For Teachers 6th - 8th
Don't cast a great hands-on resource aside! Scholars learn about the process of casting by actually trying out an example. Plaster of Paris and cookie cutter molds help them complete the activity.
Lesson Plan
Cornell University

Buoyancy

For Teachers 3rd - 8th Standards
Swimmers know to float by turning their bodies horizontally rather than vertically, but why does that make a difference? In an interesting lesson, scholars explore buoyancy and the properties of air and water. They test cups to see which...
Lesson Plan
EngageNY

Law of Cosines

For Teachers 11th - 12th Standards
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...
Lesson Plan
EngageNY

Informal Proofs of Properties of Dilations

For Teachers 8th Standards
Challenge the class to prove that the dilation properties always hold. The lesson develops an informal proof of the properties of dilations through a discussion. Two of the proofs are verified with each class member performing the...