Similarity of Triangles in Numeric Problems
In this triangle instructional activity, students observe similar triangles and use ratios to determine the missing length of one side of a triangle. This one-page instructional activity contains ten problems.
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Similar Right Triangles and Trig Ratios
Is it possible to be the same yet different? Absolutely! The activity asks learners to explore the relationships between side ratios of triangles they have drawn. Because individuals all draw a triangle with the same angle measures, they...
9th - 11th Math CCSS: Designed
Special Relationships Within Right Triangles—Dividing into Two Similar Sub-Triangles
Why are right triangles so special? Pupils begin their study of right triangles by examining similar right triangles. Verifying through proofs, scholars recognize the three similar right triangles formed by drawing the altitude. Once...
9th - 10th Math CCSS: Designed
Creating Linear Equations in One Variable
The example of two travelers meeting somewhere along the road has been a stereotypical joke about algebra as long as algebra has existed. Here in this detailed presentation, this old trope gets a careful and approachable treatment....
9th - 10th Math CCSS: Adaptable
Proofs into Practice: The Pythagorean Theorem in the Real World
As an introduction to the lesson, learners verify the Pythagorean theorem with a hands-on proof. Then, pupils use the theorem to determine whether three side lengths could form a right triangle and choose one of two real-life situations...
8th - 12th Math CCSS: Designed