Virginia Department of Education
Lines and Angles
Explore angle relationships associated with transversals. Pupils construct parallel lines with a transversal and find the measures of the angles formed. They figure out how the different angles are related before constructing...
University of Utah
Geometry: Angles, Triangles, and Distance
The Pythagorean Theorem is a staple of middle school geometry. Scholars first investigate angle relationships, both in triangles and in parallel lines with a transversal, before proving and applying the Pythagorean Theorem.
EngageNY
First Consequences of FTS
Challenge the young mathematicians to find the exact coordinates of a dilated point. The fifth segment in a 16-part series introduces the class to the converse of the Fundamental Theorem of Similarity. Scholars use the theorem to...
Teach Engineering
Graphing Equations on the Cartesian Plane: Slope
Slopes are not just for skiing. Instructors introduce class members to the concept of slope and teach them how to calculate the slope from a graph or from points. The lesson also includes the discussion of slopes of parallel and...
Mathematics Vision Project
Module 3: Geometric Figures
It's just not enough to know that something is true. Part of a MVP Geometry unit teaches young mathematicians how to write flow proofs and two-column proofs for conjectures involving lines, angles, and triangles.
National Gallery of Canada
Mastering One-Point Perspective
Cover one-point perspective through observation and practice. Class members examine several works of art that use one-point perspective, look at magazine images to find the vanishing points and horizon lines, and draw their own city...
02 x 02 Worksheets
Slope
What does slope have to do with lines? Pupils work with lines and determine the slope of the lines informally and with the slope formula. Groups use their knowledge to calculate the slopes of parallel and perpendicular lines. They also...
Chandler Unified School District
Frankly Speaking: Exploring Benjamin Franklin's Aphorisms
Benjamin Franklin famously had an aphorism for every situation—most of which we still use in modern vernacular. Introduce class members to Franklin's Poor Richard's Almanack with a presentation that details the characteristics of aphorisms.
Carnegie Mellon University
Technical Sketching Worksheets
How do you create a technical drawing? Cover the basics of technical sketching with a few practice sketches of simple shapes. A technical sketching lesson introduces the proper precision measurement techniques. Pupils progress...
EngageNY
Informal Proofs of Properties of Dilations
Challenge the class to prove that the dilation properties always hold. The lesson develops an informal proof of the properties of dilations through a discussion. Two of the proofs are verified with each class member performing the...
Incredible Art
1, 2, and 3-Point Perspective
Introduce drawing students to perspective with a series of lesson that detail how to draft images in one-, two-, and three-point perspective. Each exercise includes step-by-step, illustrated directions and examples.
Curated OER
Finding X and Y Intercepts
How can you solve systems of linear equations? This slideshow introduces learners to the substitution method, the elimination method using addition and subtraction, and the elimination method using multiplication. Guided practice...
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...
Mathematics Vision Project
Geometric Figures
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
National Endowment for the Humanities
Animal Farm: Allegory and the Art of Persuasion
Introduce your class members to allegory and propaganda with a series of activities designed to accompany a study of George Orwell's Animal Farm. Readers examine the text as an allegory, consider the parallels to collective farms...
New York City Department of Education
What Did I Do to Be so Black and Blue: How Did Jazz Influence Ralph Ellison's Invisible Man
How did jazz influence Ralph Ellison's Invisible Man? Class members read some of Ellison's non-fiction writings about blues and jazz, listen to records, watch videos, and engage in student-centered discussions. They then produce podcasts...
Curated OER
The Seven Continents Scavenger Hunt
Who doesn't enjoy an engaging scavenger hunt? Here, scholars listen to, and discuss, the informative text, Where is my Continent? by Robin Nelson. They then explore the seven continents and four major oceans using...