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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...
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Differential Thermal Calorimetry

For Teachers 9th - 12th
Students access prior knowledge of infrared rays, ultraviolet rays, gamma rays, x-rays and cosmic waves. In this electromagnetic waves lesson, students hold a mock trial electromagnetic spectrum. Students present characteristics of the...
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Waves Worksheet

For Students 6th - 8th
For this frequency worksheet, students answer 10 questions about frequency and waves. The name of a teach appears at the top of this page.
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Parallelism in Our Everyday World: Parallel Lines and Beyond

For Teachers 9th - 10th
Students broaden their outlook on geometry in their everyday environment. They explore the properties of parallel lines and parallelograms and discover ways to prove the existence of parallel lines and discuss the concept of parallel lines.
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Riding the Radio Waves

For Teachers 7th - 9th
Learners examine the basic concepts of radio waves and magnetic fields. They study how the AM radios are built and demonstrate the concepts of amplitude and frequency.
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Comparing Ovaries And Testes

For Students 9th - 12th
In this reproductive system worksheet, learners compare specimens of rat ovaries and testes. They complete 5 short answer pre-lab questions, follow an 11 step procedure and answer 5 analysis questions.
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Logical Relationship of Postulates & Theorems

For Students 10th - 12th
In this postulates and theorems activity, students explore a concept map containing information about angles and sides, alternate interior angles, and diagonals of a parallelogram.  They use the concept map to prove theorems dealing...
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From Bats to Babies: Ultrasound

For Teachers 9th - 12th
Students research and analyze sound waves and how an ultrasound works to image a baby in utero. They explore various websites, complete worksheets, and write a paragraph describing a demonstration they view in the classroom.
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"Bridge Designer" Lab

For Teachers 7th - 8th
Students become civil engineers and assist in designing a Truss Bridge to carry a two-lane highway across a river valley using the West Point Bridge Designer 2003 Software. They construct bridges based upon budget and demos. Students...
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Light

For Teachers 5th
Fifth graders sit in their seats with the lights on and then the teacher turns off the lights. After their eyes have adjusted, they vote on what colors of construction paper are being held up. The lights are then turned back on and...
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A Whole Lotta Shakin'

For Teachers 9th - 11th
Students read first hand accounts of earthquake survivors in order to begin the describe the different types of earthquake waves and the order in which they arrive. They engage in using earthquake waves as a means to indirectly study the...
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Seismic Waves

For Students 6th - 8th
In this seismic waves worksheet, student will read information about the different types of waves that occur during an earthquake: P (Primary) waves, S (Secondary) waves, and shear waves. Then students will complete 2 short answer...
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Popcorn Is a Gas

For Teachers 6th - 9th
Students investigate why and how popcorn pops. In this gas lesson plan, students observe and make suggestions as to what causes popcorn to pop after observing popped corn and corn kernels. Students mass the kernels before and after...
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Uniform-Motion Problems: Just Playing with Cars

For Teachers 9th - 10th
Students explore the concept of the formula for distance. In this formula for distance lesson, students time battery operated cars with constant velocity over 15 meters. Students use the distance = rate x time formula to determine the...
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Anatomy of Living Bone

For Teachers 9th - 12th
High schoolers analyze and examine the anatomy of bones and bone conditions. In this bone anatomy lesson, students analyze and examine the structural properties of bones. They explain the relationship between osteoblasts and osteoclasts...
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Application of Delta-Epsilon Definition of the Limit

For Teachers 12th - Higher Ed
Students create a Hexaflexagon using a formula. In this calculus instructional activity, students apply the definition of delta epsilon as it relates to limit to create a shape using creases. They relate the same rule to triangles and...
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Midsegments of a Triangle

For Teachers 9th - 12th Standards
High schoolers analyze midsegments of triangles in this instructional activity. They use Cabri Jr. software to observe the relationships between interior angles and midsegments of triangles. Specific instructions for creating this...
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The Energy of Waves

For Students 6th - 8th
In this science worksheet, middle schoolers examine the topic in order to solidify knowledge covered in the curriculum using puzzles and creative games.
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Writing Equations of Hyperbolas

For Students 10th - 12th
In this writing equations learning exercise, students write the equations of a hyperbola. This four-page learning exercise contains 24 problems. Answers are provided on the last two pages.
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Wave Energy

For Students 9th - 12th
In this wave energy learning exercise, students read about the energy created by water movement and how it is utilized to create electrical energy through two ocean wave energy converters. They answer three critical thinking questions...
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HW Unit10:8- Color

For Students 9th - 12th
In this color activity, high schoolers answer 16 questions about light, color and wavelength. They label a graph of position vs. displacement and answer questions about the graph including finding the frequency, amplitude, and wavelength.
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New York State Testing Program

For Students 8th - 10th
In this algebra review lesson, students work review problems to get ready for their exam.  There are 16 worksheets in this booklet.
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Identify Parallel/Perpendicular/Intersecting Lines

For Students 6th - 8th
In this identifying lines worksheet, learners examine given diagrams.  They identify parallel, perpendicular, and intersecting lines.  This two-page worksheet contains 10 problems.  Answers are provided on the last page.
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The Tipping Point

For Teachers 9th - 11th
Students rewrite word problems and solve using math. In this word problem lesson plan, students gather data and observe the data. They relate this process to the scientific method and math. They review their data to be able to answer...

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