West Contra Costa Unified School District
Congruent and Similar Polygons
What's similar about congruent and similar polygons? Young mathematicians first measure the side lengths and angles of given figures. They use these measurements to determine relationships between side lengths and angles of congruent and...
Cornell University
Constructing and Visualizing Topographic Profiles
Militaries throughout history have used topography information to plan strategies, yet many pupils today don't understand it. Scholars use Legos and a contour gauge to understand how to construct and visualize topographic profiles. This...
Everyday Mathematics
Mathematics Within: Slope and Triangles
Learners discover a method for determining the slope of a line by creating and comparing similar triangles. They fold coordinate grids to make three similar triangles then measure the sides to compare the relationships between the...
Illustrative Mathematics
Eratosthenes and the Circumference of the Earth
The class gets to practice being a mathematician in ancient Greece, performing geometric application problems in the way of Eratosthenes. After following the steps of the great mathematicians, they then compare the (surprisingly...
Curated OER
CORNER CABINET
Ninth and tenth graders calculate the length, width, height, perimeter, area, volume, surface area, angle measures or sums of angle measures of common geometric figures. They solve problems involving scale drawings, models, maps or...
Curated OER
Atomic Absorption Determination of Zinc and Copper in a Multivitamin
Advanced lab apprentices prepare zinc and copper solutions to which they will compare the same minerals from a multivitamin. Using absorption spectroscopy, they analyze the contents of the multivitamin for concentration. This lab can be...
Exploratorium
Peripheral Vision
Life science learners discover the range of peripheral vision. They compare the angles at which they can detect motion, colors, and detailed shapes.
Noyce Foundation
Parallelogram
Parallelograms are pairs of triangles all the way around. Pupils measure to determine the area and perimeter of a parallelogram. They then find the area of the tirangles formed by drawing a diagonal of the parallelogram and compare their...
Illustrative Mathematics
Similar Triangles
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
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...
Curated OER
Graphing Equivalent Fractions
Students graph families of equivalent fractions and compare them by observing the slope of the line formed by each fraction family. They place fractions in ascending order by comparing the slopes of each line after several families of...
Curated OER
How Big Is a Blue?
Students sort and compare/contrast the lengths of various whales. They sort pictures of whales in order of smallest to largest, and given a rope marked with the lengths of the whales, they compare the actual lengths of the whales.
Curated OER
Basic Visual Language Ii: How To Analyze a Visual Text
Students identify techniques used to communicate visually. They compare and contrast different visual techniques found in mass media. They apply their understanding by creating photographs that use a variety of visual literacy techniques.
Curated OER
Spoonfuls, Cupfuls and Handfuls
Explore the use of non-standard units for measuring volume with elementary learners. They fill a container and count the number used using cups, spoons, and bottles, build with blocks and count the number of blocks used, and compare and...
Curated OER
Regarding the Fountain: Questioning Strategy—Cubing
Look deeper into the text with a reading strategy based on asking critical thinking questions. While reading Reading the Fountain by Kate Klise, learners think of questions that help them describe, compare, associate, analyze, apply, and...
Hawaiʻi State Department of Education
Color Moods
Can art be a mode of communication? You bet it can! Learners explore how colors are used to convey mood in art. First, the class listens to three very unique musical selections that convey three different moods. Then, they compare and...
Curated OER
Geometry In Space
How can we identify shapes in the Universe? High schoolers will compare and contrast elliptic and hyperbolic geometry. They will also explore one possible way to measure the curvature of the Universe, namely, by measuring the sum of the...
Arizona State University
Tricorn Triangles
Help your learners examine triangles. Pupils explore the different sizes and measurements of triangles. They discover triangles can be isosceles or scalene, and examine the attributes of triangles. Here is the website where you can find...
Curated OER
Vocabulary and Concept Development #2: struct and tract
Focus on the Latin roots struct and tract with this PowerPoint, boasting plenty of practice opportunities. To help develop a definition of each root, viewers match a list of words to their pictures. Then, they compare those words to a...
EngageNY
Dilations as Transformations of the Plane
Compare and contrast the four types of transformations through constructions! Individuals are expected to construct the each of the different transformations. Although meant for a review, these examples are excellent for initial...
EngageNY
Trigonometry and the Pythagorean Theorem
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
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...
Curated OER
The Reason for the Seasons
Students compare graphs of their data that was generated on a NASA website. For this seasons lesson students complete a lab activity.
Curated OER
Using Vegetation, Precipitation, and Surface Temperature to Study Climate Zones
Using NASA's Live Access Server, earth scientists compare the temperature, precipitation, and normalized difference vegetation index for four different locations. They use the data to identify the climate zone of each location using...