Re-Calling Pythagoras' Theorem

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Objective

SWBAT apply Pythagorean Theorem to real-world problems involving right triangles.

Big Idea

Students will persevere in challenging questions that require use of the Pythagorean Theorem.

Lesson Author

Stephanie Conklin

Saratoga Springs, NY

Grade Level

Tenth grade

Subjects

Math

Geometry

Pythagorean Theroem

triangles (Determining Measurements)

Standards

8.G.B.7

Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

HSG-SRT.B.4

Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.

MP1

Make sense of problems and persevere in solving them.

MP8

Look for and express regularity in repeated reasoning.

Do Now

10 minutes

Managing Student Behavior

Managing Student Behavior 1.wmv

In this Do Now, students will have an opportunity to review finding the length of a line segment and also finding the midpoint of this segment. These two topics are skill based practice and require students to remember the distance and midpoint formulas. Also, the distance formula uses similar algebra skills, like squares and square roots, which may help students see patterns between we first derived the distance formula (MP 8).

Know Your Students: Either Review or Applied Problems

30 minutes

Computer Lab Practice

20 minutes

This section of the lesson really allows you to differentiate instruction to students' abilities. Some students may be able to handle more challenging problems that are based on SAT-like questions, and while in the computer lab, these students can practice these complex questions while looking for repeated reasoning(MP 1 and 8). Students who may be struggling with Pythagorean Theorem can also complete these more straight-forward questions and receive feedback on their work.

You can also assign these extra online problems for practice and/or homework.