Cornell University
Hydrophobic Surfaces—Deposition and Analysis
Couches, carpets, and even computer keyboards now advertise they are spill-resistant, but what does that mean? Scholars use physical and chemical methods to coat surfaces with thin films to test their hydrophobic properties. Then they...
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...
National Security Agency
Classifying Triangles
Building on young mathematicians' prior knowledge of three-sided shapes, this lesson series explores the defining characteristics of different types of triangles. Starting with a shared reading of the children's book The Greedy Triangle,...
Bowland
Sundials!
Time to learn about sundials. Scholars see how to build sundials after learning about Earth's rotation and its relation to time. The unit describes several different types of possible sundials, so choose the one that fits your needs — or...
Beauty and Joy of Computing
Sprite Drawing and Interaction
Discover how to program objects to move on a screen. In the second lab of a five-part unit, each learner uses block instructions to program a sprite to follow their mouse (cursor). They investigate how to use these same block...
EngageNY
Informal Proof of AA Criterion for Similarity
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...
EngageNY
Congruence Criteria for Triangles—ASA and SSS
How do you know if a pair of triangles are congruent? Use the lesson plan to help class members become comfortable identifying the congruence criteria. They begin with an exploration of ASA and SSS criteria through transformations and...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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.
Inside Mathematics
Quadrilaterals
What figure is formed by connecting the midpoints of the sides of a quadrilateral? The geometry assessment task has class members work through the process of determining the figure inscribed in a quadrilateral. Pupils use geometric...
Cornell University
Resolution—Not Just for the New Year
Experiment with optical resolution using an inquiry-based lesson. Young researchers calculate fellow classmates' optical resolutions. They apply the information to understand the inner workings of optical instruments.
Curated OER
Point Comparisons
Young geometers investigate two-dimensional figures using coordinate grids. They identify polygons and draw examples of their reflection, rotation, and translation on a coordinate grid. And they complete a worksheet practicing examples...
Curated OER
Finding the Area of an Equilateral Triangle
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
EngageNY
Sequencing Rotations
Discover the result of a sequence of rotations about different centers. Pupils perform rotations to examine the patterns. They also describe the sequence of rotations that performed to reach a desired result in the ninth installment in a...
Curated OER
Define Geometry Terms
The Common Core is intended to help all children meet high academic standards. Here is a Common Core designed lesson that is intended for learners with communication or language difficulties. The lesson is written in a narrative style...
Virginia Department of Education
Similar Triangles
Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...
Curated OER
Mystery of Mirrors: Discovery Stations
Hands-on stations in which groups of primary learners experience what mirrors can do provide opportunities for experimenting and authentic discovery. Recording their observations in complete sentences seems age-inappropriate. Drawing...
Curated OER
Inscribing a Hexagon in a Circle
This activity is a follow-on activity to inscribing a square in a circle. The overall problem is more complex. It deals with geometric constructions, properties of triangles, and regular hexagons. The final part of the activity finds the...
EngageNY
Applying the Laws of Sines and Cosines
Breaking the law in math doesn't get you jail time, but it does get you a wrong answer! After developing the Law of Sines and Cosines in lesson 33 of 36, the resource asks learners to apply the laws to different situations. Pupils must...
Bowels Physics
Refraction and Lenses
Every object we see must pass through a lens, but how does each individual's lens differ? Learners explore the science behind refraction and lenses, uncovering the details that allow them to perform daily activities.
Mathematics Vision Project
Module 5: Modeling with Geometry
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts to finding...
Space Awareness
What is a Constellation
Why do some stars in a constellation appear brighter than others? Using a get-up-and-move astronomy activity, scholars explore perspective and the appearance of constellations in the sky while developing an understanding of the...
Ohio Department of Education
Describing and Creating Plane Figures - Grade One
Young mathematicians draw, create, and describe different shapes using triangles. They discuss attributes of the original and created shapes. Pupils classify the created shapes and draw and write in mathematics journals to communicate...
EngageNY
Special Lines in Triangles (part 1)
Allow your pupils to become the mathematicians! Individuals explore the properties of a midsegment of a triangle through construction and measurement. Once they figure out the properties, learners use them to draw conclusions.