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Illustrative Mathematics

The Geometry of Letters

For Teachers 3rd - 5th Standards
Use the alphabet as a tool for teaching your class about geometric figures. Break apart capital letters into line segments and arcs. Classify angles as right, acute, or obtuse. Identify parallel and perpendicular lines. An excellent...
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Illustrative Mathematics

Find the Missing Angle

For Teachers 7th - 9th Standards
This one activity requires young geometers to pull together information they are currently learning with things they have learned previously. Here they rely on understanding something about parallel lines, alternative interior angles,...
Lesson Plan
Illustrative Mathematics

Joining Two Midpoints of Sides of a Triangle

For Teachers 9th - 11th Standards
Without ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel...
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Curated OER

The Electric House Project

For Teachers 9th - 12th
Students design and build a foam core house which has a light in each room. They demonstrate an understanding of series, parallel, and complex circuits. They complete a worksheet, in complete, sentences expressing these electrical concepts.
Lesson Plan
Curated OER

Triangle's Interior Angles

For Teachers 7th - 9th Standards
Given a pair of parallel lines and a triangle in between, geometers prove that the sum of the interior angles is 180 degrees. This quick quest can be used as a pop quiz or exit ticket for your geometry class.
Lesson Plan
Forest Foundation

The Nature of Trees

For Teachers 5th - 7th
Young botanists examine the different parts of tress and then draw parallels between the functions of these parts and the function of parts of the human body. 
Lesson Plan
Illustrative Mathematics

Area of a Trapezoid

For Teachers 7th - 9th Standards
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
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Illustrative Mathematics

Is This a Parallelogram?

For Teachers 9th - 12th Standards
If both pairs of opposite sides of a quadrilateral are congruent, is the quadrilateral a parallelogram? This task asks learners to determine the answer and to support their answer with a proof. The resource includes a commentary for...
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Illustrative Mathematics

Midpoints of the Sides of a Paralellogram

For Teachers 9th - 12th Standards
This task asks learners to prove that the segment joining the midpoints of two sides of a parallelogram is both congruent and parallel to an adjacent side of the parallelogram. The activity would be good to use in a discussion about how...
Lesson Plan
BrainPOP

Latitude and Longitude Differentiated Lesson Plan

For Teachers 3rd - 5th Standards
Scholars warm-up their map skills with a discussion using location words to describe familiar places. An engaging video informs class members about latitude and longitude. Three leveled activities extend the learning experience for...
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Illustrative Mathematics

Are They Similar?

For Teachers 9th - 11th Standards
Learners separate things that just appear similar from those that are actually similar. A diagram of triangles is given, and then a variety of geometric characteristics changed and the similarity of the triangles analyzed. Because the...
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Illustrative Mathematics

A Midpoint Miracle

For Teachers 9th - 12th Standards
Young geometers develop one of the fundamental properties of quadrilaterals (connecting side midpoints gives a parallelogram) in this short but thought-provoking exercise. Using a combination of hands-on techniques and abstract algebraic...
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Novelinks

The Winter’s Tale: Problematic Situation

For Teachers 11th - 12th
Before beginning The Winter's Tale groups read and discuss a scenario that parallels the plot of Shakespeare's play. They then brainstorm possible solutions to the problem.
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Illustrative Mathematics

What is a Trapezoid? (Part 1)

For Teachers 3rd - 5th Standards
Challenge your class to construct a definition for trapezoids. Looking at four examples and four non-examples, students individually create definitions and use them to classify an unknown shape. Allow for small group and whole-class...
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Illustrative Mathematics

What Shape Am I?

For Teachers 3rd - 5th Standards
Sharpen your pencil and grab a ruler, it's time to draw some quadrilaterals! Given the definition of a parallelogram, rectangle, and rhombus, learners draw examples and nonexamples of each figure. The three definitions are...
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IOP Institute of Physics

Physics in Concert

For Teachers 6th - 12th Standards
What do physicists and musicians have in common? A lot more than you might think. After first viewing a slide show presentation and completing a series of skills practice worksheets on the physics of light, sound, and...
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Education Development Center

Finding Parallelogram Vertices

For Teachers 5th - 7th Standards
Four is the perfect number—if you're talking about parallelograms. Scholars determine a possible fourth vertex of a parallelogram in the coordinate plane given the coordinates of three vertices. They read a conversation...
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Curated OER

Final Crucible Project Options

For Teachers 9th - 12th
Finding and/or designing a menu of equally weighted synthesizing projects to end a unit can be a challenge. Simplify the task with this menu of individual and group projects meant to accompany a study of The Crucible. Presentations,...
Activity
DiscoverE

Marble Run

For Teachers 3rd - 12th Standards
It's time to slow your roll! Can your class create a track that allows a marble to roll as slowly as possible? Teams of science scholars collaborate to design, build, and test their tubes while learning about gravity and friction.
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Illustrative Mathematics

Proportional Relationships, Lines, and Linear Equations

For Teachers 7th - 9th Standards
The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...
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Illustrative Mathematics

Tilt of Earth's Axis and the Four Seasons

For Teachers 9th - 11th Standards
Geometry meets earth science as high schoolers investigate the cause and features of the four seasons. The effects of Earth's axis tilt features prominently, along with both the rotation of the earth about the axis and its orbit...
Lesson Plan
Illustrative Mathematics

What is a Trapezoid? (Part 2)

For Teachers 4th - 6th Standards
This collaborative activity investigates the meaning of a trapezoid and a parallelogram. It begins by presenting two different definitions of a trapezoid. Learners are to reason abstractly the difference between the two definitions and...
Activity
Exploratorium

Laser Jello

For Teachers 7th - 10th
The concepts of refraction and reflection gel with your physical science class during this colorful exploration. Shining lasers through Petri-dish-shaped gelatin desserts, they will notice how the light travels and bounces off the sides....
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Scholastic

Narrative Writing

For Teachers 5th - 9th Standards
If you're looking to start a unit based around narrative writing, make sure to consider this resource while you're planning. This book covers five topics: writing personal narratives, writing narratives about others, writing...

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