Illustrative Mathematics
Coins in a Circular Pattern
What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...
Mathematics Assessment Project
Glasses
Clink, clink! Young mathematicians investigate drinking glasses composed of known solids (cones, cylinders, and hemispheres). Next, they determine the volumes of these glasses.
Mathematics Vision Project
Module 6: Trigonometric Functions
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
NOAA
Animals of the Fire Ice
When the sun's rays can't reach the producers in a food web, where does all the energy come from? Extreme environments call for extreme food sources. Young scientists investigate creatures that appear to get their energy from methane...
National Nanotechnology Infrastructure Network
Understanding Wave Motion - Slinky vs. Snaky: Which Spring is Dominant?
Ride the wave to an understanding of refraction! The first in a series of two inquiry-based lessons challenges learners to create transverse waves with two different types of springs. As their wave hits an object, they observe the change...
Curated OER
View Tubes: Student Worksheet
Here is a worksheet that is almost a lesson! In it, learners conduct an experiment in which they determine the size of objects when viewed through viewing tubes. This resource has all of the instructions and tables necessary to complete...
Curated OER
WS 1.7 Density /Archimedes Principle
Archimedes' principle is practiced as chemistry learners practice computing the density of different gases, liquids, and solids. Using a chart of standard densities, they also identify unknown materials by similar calculations. Fifteen...
Houghton Mifflin Harcourt
Developing Formulas for Circles and Regular Polygons
Formulas and procedures for finding the area and circumference are not provided on this handout, so it will be best used as a practice of already-acquired skills. It is a well-rounded assignment, however, as it includes diagrams,...
Indian Land Tenure Foundation
Sharing Resources: The Nuts Game
The land has always provided its inhabitants with resources that allow them to survive. However, sometimes resources run scarce and sharing becomes an important task. Help little ones understand why and how people have shared resources...
Exploratorium
Cardboard Tube Syllabus
Construct paper tubes and then try out a few optical illusion tricks:
See a virtual hole in your own hand
Get a grasp of how the eyes combine images
Notice that one eye is dominant over the other
Reveal how your eyes adjust to...
NOAA
Thunderstorms, Tornadoes, Lightning. . . Nature's Most Violent Storms
Thunderstorms, tornadoes, floods, and hail are just a few of the topics covered in a thorough weather preparedness guide. With descriptions of each weather phenomenon, from what causes them to how and when they occur to...
Houghton Mifflin Harcourt
Unit 6 Math Vocabulary Cards (Grade 4)
In need of math vocabulary cards? Use a set of 66 vocabulary cards with topics focused mostly on geometry terms. Each sheet has two cards on it. The top half has the word printed in bold text, while the bottom half has the card with...
EngageNY
Arc Length and Areas of Sectors
How do you find arc lengths and areas of sectors of circles? Young mathematicians investigate the relationship between the radius, central angle, and length of intercepted arc. They then learn how to determine the area of sectors of...
EngageNY
Secant Lines; Secant Lines That Meet Inside a Circle
Young mathematicians identify different cases of intersecting secant lines. They then investigate the case where secant lines meet inside a circle.
Willow Tree
Area of Common Geometric Figures
Scholars can use area formulas, but can they apply what they know about area? The lesson challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and other...
Inside Mathematics
Rugs
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...
University of Colorado
Can Photosynthesis Occur at Saturn?
In the 19th activity of 22, learners determine if distance from a light source affects photosynthesis. Participants capture oxygen in straws and find that the amount of water the gas displaces is proportional to the rate of photosynthesis.
Balanced Assessment
Bicycle Chain II
Apply geometric concepts to a design problem. Individuals examine the structural setup of the chain on a bicycle and use the measurements of the circles to determine the length of the chain.
Virginia Department of Education
Arc Length and Area of a Sector
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
NOAA
Tied Up In Knots
Challenge scholars to tie knots like a sailor. With help from tutorials and plenty of practice, learners tie the perfect reef knot, clove hitch, bowline and more!
Florida International University
Designing an Autonomous Underwater Vehicle (AUV): Concepts in Lift, Drag, Thrust, Energy, Power, Mass, and Buoyancy
Engineer an autonomous underwater vehicle (AUV) to study concepts of physics. Using household materials, collaborative groups design and build an AUV and then test Newton's Laws of Motion as they apply them in underwater environments...
DiscoverE
Launch It
Launch pupil interest in rockets. Scholars build rockets out of straws and balloons to learn about Newton's Third Law of Motion. Their task is to hit a target five feet away. It's not as easy as it seems!
DiscoverE
Windy City Tower
Your class will be blown away when they build their own city tower structure! Engineering scholars partner up to plan, build, and test their own paper towers. As they build, they gain valuable design skills, learn about wind tunnel...
Nuffield Foundation
Assessing Human Hearing
Young scientists explore hearing through multiple experiments, demonstrations, and activities. They focus on the changes in hearing over a lifetime, how we can determine where a sound is coming from, and the ability to filter noises.
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