Illustrative Mathematics
Why Does SSS Work?
While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...
Illustrative Mathematics
Joining Two Midpoints of Sides of a Triangle
Without ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel lines cut...
Mt. San Antonio Collage
Properties of a Parallelogram
More than just a activity, the resource provides a thorough guide to navigate through the land of parallelograms. Filled with definitions and theorems, the resource supports learners through problems such as proofs and finding missing...
Royal Society of Chemistry
Acids and Bases—Microscale Chemistry
Here's proof that small-scale labs lead to big-time learning. Introduce acid-base interactions to middle school scientists through a microscale chemistry lab. Pupils combine a variety of solutions and use indicators to obtain approximate...
EngageNY
Law of Sines
Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...
Curated OER
Reflections and Equilateral Triangles
Your learners collaboratively find the lines of symmetry in an equilateral triangle using rigid transformations and symmetry. Through congruence proofs they show that they understand congruence in terms of rigid motions as they prove...
Curated OER
Our Wonderful Stories: Lesson Plan 5
The fifth installment in a writing unit that culminates with a Hyperstudio illustrated group story project, this plan is ripe with ideas for ways to design group writing projects for elementary writers. Use the whole unit as a base from...
Curated OER
The Engineering Design Process
Design your own video game, engineer accident-proof highways, or even develop a new phone app! The Engineering Design Model can be used with all ages and in all subject areas to create a product, system or service. The resource explains...
NASA
Building for Hurricanes: Engineering Design Challenge
"By the hair on your chinny-chin-chin, I'll huff and I'll puff and I'll blow your house in," says the big, bad wolf! Engineering hopefuls are challenged to design and construct a hurricane-proof building from simple office and craft...
EngageNY
Algebraic Expressions—The Commutative and Associative Properties
Who says math is boring? Turn dry concepts like properties and vocabulary into an interesting lesson! Examine the commutative and associative properties of addition and multiplication using geometric reinforcement. Through collaboration,...
Civil War Trust
Civil War Personalities Lesson Plan
Caring, trustworthiness, and responsibility—these are only a few character traits in focus of a lesson based on stories from the Civil War era. Class members explore several influential lives while reading biographies that highlight...
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...
Science Matters
Earthquake Building/Shaking Contest
Japan is one of only a handful of countries that constructs buildings that are almost earthquake proof. The 13th lesson in the 20-part series challenges scholars to build structures to test against earthquakes. With limited materials and...
Cornell University
Polymers: Making Silly Putty
Putty is proof that learning can be fun! Share the wonderful world of polymers with your class through an experiment. Young scientists create their own silly putty, then examine its properties.
Howard Hughes Medical Institute
Determining the Size and Energy of the K-T Asteroid
Two different groups of scientists published scientific papers in 1980 offering proof of a large asteroid hitting Earth between the Cretaceous and Tertiary layers of ground. Scholars use a worksheet to analyze the same type of data as...
EngageNY
Using Effective Search Terms: Researching Screen Time
The proof is in the reading. Scholars read an article, "Attached to Technology and Paying the Price," and answer text-dependent questions. Next, they complete a Venn diagram to contrast two authors' use of evidence on the topic of screen...
EngageNY
Organizing an Opinion, Reasons, and Evidence: Text 2 for Each Expert Group
The proof is in the reading. Using the informative resource, scholars read a second article about either Althea Gibson or Roberto Clemente. As they read, they continue adding reasons and evidence to their graphic organizers to show how...
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 figures do not...
EngageNY
Arcs and Chords
You've investigated relationships between chords, radii, and diameters—now it's time for arcs. Learners investigate relationships between arcs and chords. Learners then prove that congruent chords have congruent arcs, congruent arcs have...
Mathematics Vision Project
Connecting Algebra and Geometry
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates including...
Key Curriculum Press
Triangle Inequalities
Properties about triangles are explored in this lesson. Geometers make conjectures about the length of a triangle's sides, the length of the angles in relation to the length of the sides, and the measure of the exterior angles of a...
Learning to Live
Attributes of a Civil Society
What makes a society civil? High school freshmen search for examples of justice, kindness, peace, and tolerance in news media and brainstorm how they can promote these attributes in their schools, communities, and world. The well-rounded...
Virginia Department of Education
Circles in the Coordinate Plane
Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...
LABScI
Acoustics: The Sound Lab
If the delay between a sound and its echo is less than 1/10th of a second, the human ear can’t distinguish it. Through the use of a Slinky, rubber band guitar, and straws, scholars explore where sound comes from and how it travels. Whole...
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