Essential Questions:
What prevents my house from failing down?
How do they make the soccer field a perfect rectangle?
Murder mystery: was it an accident or a murder based on the trajectory of the bullet?
Rocket - October Sky cause of fire
Big Ideas:
Apply and explain the Pythagorean Theorem
Able to fine the measure of an unknown angle using other information
Unit 6 instruction is focused on the following power standards:
8.G.B.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
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.
Unit 6 instruction will be supported by the following standards:
8.G,B.6 Explain a proof of the Pythagorean Theorem and its converse.
8.G.B.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
What prevents my house from failing down?
How do they make the soccer field a perfect rectangle?
Murder mystery: was it an accident or a murder based on the trajectory of the bullet?
Rocket - October Sky cause of fire
Big Ideas:
Apply and explain the Pythagorean Theorem
Able to fine the measure of an unknown angle using other information
Unit 6 instruction is focused on the following power standards:
8.G.B.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
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.
Unit 6 instruction will be supported by the following standards:
8.G,B.6 Explain a proof of the Pythagorean Theorem and its converse.
8.G.B.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
What to teachPrerequisite skills from 7th grade
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Lesson Ideas |
Student Practice |
Topic 1: Pythagorean Theorem
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Topic 2: Determine measure of an unknown angle
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vocabularyPythagorean theorem
angle measure supplementary angles complimentary angles right angle perimeter area square root exponent exterior angle theorem corresponding angles vertical angles alternate interior angles alternate exterior angles adjacent angles parallel perpendicular traversal similar hypotenuses leg |
Unit ResourcesAssessmentPre Assessment
Real World Experience Post Assessment Formative Assessment Student Reflection and Goal Setting Sheet |
Learn the MathParent Letter |