Illustrative Mathematics
How Many Leaves on a Tree? (Version 2)
A second attack at figuring out the number of leaves on a tree, this activity makes both an excellent follow-up to version 1 and a stand-alone activity. Learners practice setting parameters and deciding acceptable estimate precision, and...
DiscoverE
Designing Highway Interchanges
How do engineers determine the most efficient highway designs? Introduce young scientists to the world of topology, the branch of mathematics that examines how things are connected. Teams use model highways to create the most...
EngageNY
Multiplying and Factoring Polynomial Expressions (part 1)
Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...
Hawaiʻi State Department of Education
Dimension Dances
Use dance to help learners conceptualize line segments, rays, lines, and planes. They choreograph dances that show dimensional space. Dancers start by pondering space, point, and lines as the teacher draws them in the air. Each...
NASA
The Electromagnetic Spectrum
Did you realize the visible light spectrum is less than three percent of the electromagnetic spectrum? A hands-onlesson includes five activities and experiments for scholars to explore and discover many advanced science concepts. They...
Resources for Early Childhood
Making Math Meaningful and Enjoyable
Your young learners will enjoy mathematics that is meaningful correspondence as they play their way to a deep mathematical foundation. Organized around the math standards, this appropriate sequence of conceptual, preschool...
Illustrative Mathematics
How Many Leaves on a Tree?
This is great go-to activity for those spring or fall days when the weather beckons your geometry class outside. Learners start with a small tree, devising strategies to accurately estimate the leaf count. They must then tackle the...
Shodor Education Foundation
Racing Game with One Die
Pupils roll a die to figure out which car advances on a race track. They determine the rules for each car moving forward and, given the statistics of the winner, compare if it matches their predictions.
EngageNY
Properties of Trigonometric Functions
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects...
EngageNY
Modeling with Inverse Trigonometric Functions 1
Where should I stand to get the best view? Pupils use inverse trigonometric functions to determine the horizontal distance from an object to get the best view. They round out the instructional activity by interpreting their answers...
EngageNY
Complex Numbers as Vectors
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
EngageNY
Newton’s Law of Cooling
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between...
EngageNY
Piecewise Functions
Show your class members that if they can graph a linear function, they can graph an absolute value function. Groups create an absolute value graph using a table, then entertain the idea of an absolute value function defined as two...
EngageNY
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance...
EngageNY
An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
EngageNY
Inverse Trigonometric Functions
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson of a 16-part series. They use inverse functional...
Whitman College
Calculus - Early Transcendentals
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
Centers for Ocean Sciences
Ocean and Great Lakes Literacy: Principle 7
Your mission, should you choose to accept it, is to take your class on an underwater adventure. The final installment in a seven-part series involving salt and freshwater bodies takes junior oceanographers below the surface in...
EngageNY
If–Then Moves with Integer Number Cards
Pairs with the same sum of integer cards verify the addition and subtraction properties of equality by adding and subtracting like cards to each hand. They also justify the multiplication and division properties of equality using...
Boward County Public Schools
Hoot Activities
If you're looking for engaging, cross-curricular, inquiry-based activities and projects to support your class reading of Carl Hiaasen's Hoot, you've come to the right place!
Laboratory for Atmospheric and Space Physics
Growing Up With A Mission
New Horizons began its journey to Pluto in 2006. Ten years later, it continues its mission. In that time, scholars have surely grown, but how much more will they grow by the time New Horizons reaches its destination? Find out with an...
Illustrative Mathematics
Shape Hunt Part 2
Shapes are everywhere in the world around us, from rectangular doors to the circular wheels of a car. The second lesson in this series opens the eyes of young mathematicians to this wonderful world of shapes as they search the classroom,...
Laboratory for Atmospheric and Space Physics
Planetary Distances on the Playground
There's no need to stay inside; get out of the classroom and create a scaled map of the solar system on your playground field! In collaborative groups, scholars identify the distance between the sun and other planets, place planet...
Illustrative Mathematics
Chicken and Steak, Variation 2
Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...