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Illustrative Mathematics

Numbers in a Multiplication Table

For Teachers 3rd - 5th Standards
Identifying patterns is a crucial skill for all mathematicians, young and old. Explore the multiplication table with your class, using patterns and symmetry to teach about square numbers, prime numbers, and the commutative and identity...
Lesson Plan
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Illustrative Mathematics

3-D Shape Sort

For Teachers K - 2nd Standards
From the apple on your desk and the coffee cup in your hand, to the cabinets along the classroom wall, basic three-dimensional shapes are found everywhere in the world around us. Introduce young mathematicians to the these common figures...
Activity
National Nanotechnology Infrastructure Network

Size and Scale – Learning about Measurement

For Teachers 4th - 8th Standards
Can you visualize one billionth of a meter? It's not easy to understand the scale of a nanometer. Learners use a hands-on lesson to develop an understanding of the size of a nanometer in comparison to common objects. They walk away with...
Activity
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Teach Engineering

Density Column Lab - Part 1

For Teachers 7th - 9th Standards
Mass and density — aren't they the same thing? This activity has groups use balance beams and water displacement to measure several objects. The pupils use the measurements to calculate the density of the objects. 
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Teach Engineering

Density Column Lab - Part 2

For Teachers 7th - 9th Standards
Groups suspend objects within layers of liquids to determine the densities of different liquids and compare them to the densities of objects calculated in Part 1. The groups then carefully test their calculations by layering the...
Lesson Plan
Space Race

Sensory Detectives

For Teachers Pre-K - 2nd Standards
Test your learners' sensory awareness with three hands-on activities that ask pupils to use their other senses to identify and describe everyday objects hidden from sight.  
Activity
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Curated OER

Task: Grain Storage

For Teachers 7th - 10th Standards
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
Activity
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Teach Engineering

Exploring the Lotus Effect

For Teachers 10th - 12th
The Lotus Effect ... is it not some kind of yoga pose. In the last installment of a nine-part series, young scientists observe the Lotus Effect on lotus leaves and water-repellent cloths. They observe how motion and damage affect the...
Activity
It's About Time

Metals and Nonmetals

For Teachers 7th - 12th Standards
Did you know you can melt the metal gallium with just the heat of your hand? Pupils observe and test materials in order to classify them as metal or non-metal. A reading passage and analysis questions wrap up the lesson. 
Activity
Teach Engineering

Beating the Motion Sensor

For Teachers 7th - 9th
I bet I can cross the room without having the lights come on. Class members set up an experiment in which they try to determine what materials will mask motion detected by a sensor. Groups predict how materials will interact with...
Activity
Other

Federal Aviation Administration: Air Takes Up Room [Pdf]

For Students 5th - 8th
See how air takes up space by conducting this classroom experiment. With the aid of several common objects, observe the effects of air pressure.
Activity
Illustrative Mathematics

Illustrative Mathematics: Use Cavalieri's Principle to Compare Aquarium Volumes

For Teachers 9th - 10th Standards
The management of an ocean life museum will choose to include either Aquarium A or Aquarium B in a new exhibit. In doing this task, students discover the formula for the volume of a sphere. Aligns with G-GMD.A.2 and HSG-MG.A.1.