Illustrative Mathematics
The Lighthouse Problem
Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the different...
Howard Hughes Medical Institute
Population Genetics, Selection, and Evolution
The Hardy-Weinberg principle states that alleles and genotypes remain constant in the absence of evolutionary influences. Scholars complete a simple hands-on activity applying the Hardy-Weinberg principle to sample data. They observe how...
Noyce Foundation
Truffles
Knowing how to scale a recipe is an important skill. Young mathematicians determine the amount of ingredients they need to make a certain number of truffles when given a recipe. They determine a relationship between ingredients given a...
EngageNY
Real-World Positive and Negative Numbers and Zero
Class members investigate how positive and negative numbers are useful in the real world. Individuals first read a short passage and identify terms indicating positive and negative numbers. They consider situations involving positive...
Curated OER
Optical Illusions
Students investigate optical illusions. In this optical illusions instructional activity, students explore perception. Students analyze optical illusions and determine common misconceptions.
National Nanotechnology Infrastructure Network
Shrink Me!
The incredibly shrinking meter—decimeters to centimeters, to millimeters, and now to nanometers! Learners may have a difficult time visualizing particles on a nanoscale. Help them see a little clearer using a well-designed lesson that...
National Nanotechnology Infrastructure Network
The Micro and Macro World Around Us
Don't let your eyes play tricks on you ... use scale to keep your eyes in check! Young scholars observe images without scale and try to identify the structure. Then, they look at the same image with a scale bar and assess whether their...
Curated OER
Scale Model of the Solar System
Young scientists gain a better understanding of space, the solar system and its vastness by creating a scale model. Students first need to calculate the distance between each of the nine planets according to the size of their scale. This...
National Nanotechnology Infrastructure Network
Size and Scale – Learning about Measurement
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...
New York City Department of Education
Peter’s Garden
Watch scholars' understanding of fractions bloom. The resource presents a performance task where the fractions are equal parts from the same whole, and mathematicians must use them to solve problems about a grade level garden. Teachers...
Curated OER
What's Matter?
Middle schoolers explore many of the basic properties of matter including atoms, ions, elements, molecules, and density. The class explores an interactive flash-animated Web site to answer questions and clarify misconceptions they might...
Inside Mathematics
Winning Spinners
Winning a spin game is random chance, right? Pupils create a table to determine the sample space of spinning two spinners. Individuals determine the probability of winning a game and then modify the spinners to increase the probability...
National Nanotechnology Infrastructure Network
Scale Models
With instructions to adapt the activities for any grade K-12, any teacher can incorporate the concept of scale into the classroom with a simple, yet effective lesson.
Education Development Center
Distance, Rate, and Time—Walking Home
Dig into a classic math problem with your classes. Through an engaging task, learners work with rate and distance information to make conclusions. In the task, two people walk at different rates; one leaves first, and scholars calculate...
Education Development Center
Integer Combinations—Postage Stamps Problem (HS Version)
It seems the post office has run out of stamps! Learners build all the values of postage available if the post office only sells five- and seven-cent stamps. The task provides an opportunity to create an expression in two variables and...
Education Development Center
Interpreting Statistical Measures—Class Scores
Explore the effect of outliers through an analysis of mean, median, and standard deviation. Your classes examine and compare these measures for two groups. They must make sense of a group that has a higher mean but lower median compared...
Education Development Center
Creating a Polynomial Function to Fit a Table
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
Education Development Center
Similar Triangles
Model geometric concepts through a hands-on approach. Learners apply similar triangle relationships to solve for an unknown side length. Before they find the solution, they describe the transformation to help identify corresponding sides.
Education Development Center
Absolute Value Reasoning
Teach solving absolute value inequalities through inquiry. Groups use their knowledge of absolute value and solving inequalities to find a solution set to an absolute value inequality. Working collaboratively encourages discussion,...
Portland
State
University
Historical Reflections on the Fundamental Theorem Of (Integral) Calculus
Highlight the process of mathematical discovery for your classes. This lesson examines the development of the Fundamental Theorem of Calculus over time. Understanding the history of the theorem helps create a better understanding of the...
Macquarie University
Logarithms and Exponentials
Introduce logarithmic functions and their properties with a straightforward lesson plan. It provides an introduction to new material, examples, and practice problems. The variety of problem types keeps learners engaged while practicing...
CPALMS
2D Rotations of Triangles
Where does the line of rotation need to be to get a cone? Pupils respond to three questions involving rotating a right triangle about different lines. The scholars describe the solid created along with providing details about its...
CPALMS
Writing an Exponential Function from its Graph
Grow an equation for the exponential graph. Given a graph of an exponential function, class members write the equation of the function provided. The graph labels two points on the graph: the y-intercept and the point where x is one.
New York City Department of Education
Designing Euclid’s Playground
Create a geometric playground. Pupils work through a performance task to demonstrate their ability to use geometric concepts to solve everyday problems. The accompanying engineering design lessons show teachers how the assessment works...