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Radford University
Parallel Lines Cut by a Transversal
Use the parallel lines to find your way. After first reviewing geometric constructions and the relationships between angles formed by parallel lines and a transversal, young mathematicians write proofs for theorems relating to parallel...
Acoustical Society of America
Anatomy of a Wave
Pair physical science learners up, and have one describe a transverse wave while the other blindly attempts to draw it. Then reveal an actual diagram and explain the different parts of the wave: crest, trough, wavelength. Though most of...
Radford University
Parallel Lines Cut By a Transversal
Perhaps planning a city isn't so difficult after all. Scholars first perform geometric constructions and investigate how parallel lines are useful in real-world situations. They then work on a city design project, drawing street maps,...
Geometry Accelerated
Accelerated Geometry Review Sheet
Your geometry learners use their knowledge of various geometric concepts to write proofs. Starting with givens containing parallel line segments with transversals and triangles and quadrilaterals, and the mid-point and distance formulas;...
DiscoverE
Slinky® Science
Toys are great for learning about physics. Scholars use Slinky® toys to study Newton's laws of motion and types of energy. After a little play, they then model longitudinal and transverse waves with the Slinky® toys.
Education Development Center
Proof with Parallelogram Vertices
Geometric figures are perfect to use for proofs. Scholars prove conjectures about whether given points lie on a triangle and about midpoints. They use a provided dialogue among fictional students to frame their responses.
Mathematics Vision Project
Module 4: Similarity and Right Triangle Trigonometry
Right you are to use a great resource. Starting with a lesson on dilations, scholars learn about similarity transformations and similar triangles. They use the knowledge to develop an understanding of right triangle trigonometry in later...
Radford University
Streets of Stephens City
Who has the best street smarts? An educational lesson has future mathematicians analyze street maps and measure angles on the map to determine if streets are parallel. They also consider safety issues at different types of intersections.
EngageNY
Fundamental Theorem of Similarity (FTS)
How do dilated line segments relate? Lead the class in an activity to determine the relationship between line segments and their dilated images. In the fourth section in a unit of 16, pupils discover the dilated line...
EngageNY
Unknown Angle Proofs—Proofs with Constructions
Provide your emerging mathematicians with the tools to learn as they incorporate auxiliary lines to solve unknown angle proofs in this continuing segment. They decipher information from a diagram to uncover the missing pieces and...
LABScI
Acoustics: The Sound Lab
If the delay between a sound and its echo is less than 1/10th of a second, the human ear can’t distinguish it. Through the use of a Slinky, rubber band guitar, and straws, scholars explore where sound comes from and how it travels....
EngageNY
Unknown Angle Proofs—Proofs of Known Facts
Lead the class in a Greek history lesson with a geometric twist. Pupils relate a short video about geometric properties to modern-day methods of solving for unknown angles. They discuss parallel line theorems and complete...
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
More About Similar Triangles
Determine whether two triangles are similar. The lesson presents opportunities for pupils to find the criterion needed to show that two triangles are similar. Scholars use the definition of similarity to find any missing side...
Illustrative Mathematics
Is This a Parallelogram?
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...
Curated OER
Checking the Surf
Pupils read and discuss waves and their wavelengths and amplitudes. In this waves lesson plan, students draw the wavelength and amplitude of a wave and discuss tsunamis and storms.
Nature
Structural Hazards
The scientific explanation of seismic waves is detailed in the introduction. A fictional scenario is also provided for your class to discuss. Pictures and handouts that are meant to be included, however, they are not accessible....
Illustrative Mathematics
Midpoints of the Sides of a Paralellogram
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...
Curated OER
Earthquake Waves And Their Destructions
Students investigate primary and secondary waves and how to measure the magnitude of waves. They discover how to find the epicenter of earthquakes. They examine why waves are more destructive in some areas than others through these...
Curated OER
A Little Kandinsky For All
Young scholars create abstract compositions based on the later works of Wassily Kandinsky using the primary colors in this early elementary Art lesson. The lesson emphasizes the use of color, lines, and shapes to create the abstract...
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