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Classifying triangles. Written by: James Wiens Newton, Kansas. Instructor Notes. Subject Area(s): Math Grade level: 7 th grade Lesson Length: 50 minute class period Synopsis: Name triangles by angles and sides.
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Classifying triangles Written by: James Wiens Newton, Kansas
Instructor Notes • Subject Area(s): Math • Grade level: 7th grade • Lesson Length: 50 minute class period • Synopsis: Name triangles by angles and sides. • Objective/goals: Students will classify triangles according to types or angles and sides.
Instructor Notes • Standard: ▲ identifies angle and side properties of triangles and quadrilaterals (KS standard 7.3.1.k3) • Pre-requisite skills: Vocabulary – Acute, Obtuse, Right, Equilateral, Isosceles, Scalene • TurningPoint functions:standard question slides • Materials: All instructional points and practice problems are provided within the power point slides. Practice questions are designed to be used with the TurningPoint clickers.
Lesson Outline • Warm-up: Angle classification • Setting the Stage: • Guided practice: Turning Point Questions • Independent practice: Paper & pencil • Closure: Write about triangles
:00 Answer Now Classify this angle: • Acute • Right • Obtuse Classify this angle:
Classify this angle: Acute Right Obtuse :10 Answer Now
Classify this angle: Acute Right Obtuse :10 Answer Now
Classify by Angles • Key concept: Classify the triangle by it’s largest angle. • If the largest angle is acute, then the triangle is Acute. • If the largest angle is right, then the triangle is Right. • If the largest angle is obtuse, then the triangle is Obtuse.
Classify by Sides • Key concept: Measure the length of each side. • If all three sides are the same length, then the triangle is Equilateral. • If all two sides are the same length, then the triangle is Isosceles. • If all three sides are a different length, then the triangle is Scalene.
A piece of paper is cut diagonally from corner to corner to form a triangle. What kind of triangle is formed based on the length of it’s sides? Setting the Stage
Answer Scalene
A piece of paper is cut diagonally from corner to corner to form a triangle. What kind of triangle is formed based on the angles formed? Setting the Stage
Answer Acute
:09 Answer Now Classify this triangle by angles and by sides • Acute / Isosceles • Obtuse / Isosceles • Acute / Scalene • Obtuse / Scalene 7 70 4 40 70 7
:10 Answer Now Classify this triangle by angles and by sides 8 • Acute / Isosceles • Right / Isosceles • Acute / Scalene • Right / Scalene 90 30 4 9 60
:10 Answer Now Classify this triangle by angles and by sides • Acute / Isosceles • Obtuse / Isosceles • Acute / Scalene • Obtuse / Scalene 14 130 6 15 35 18
:10 Answer Now Classify this triangle by angles and by sides 7 • Acute / Isosceles • Right / Isosceles • Acute / Equilateral • Obtuse / Scalene 60 60 7 7 60
Obtuse / Isosceles Acute / Equilateral Right / Isosceles Acute / Isosceles Obtuse / Isosceles Acute / Equilateral Obtuse / Scalene Right / Scalene Answer Key for Independent Practice
Closure / Summary • Is it possible for an obtuse triangle to also be equilateral? Explain why or why not.
References • All content of lesson designed and written by James Wiens, 7th grade math teacher, Newton Kansas.