Standard(s) Taught |
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MAFS.8.G.2.6
Explain a proof of the Pythagorean Theorem and its converse.
MAFS.8.G.2.7
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
MAFS.8.G.2.8
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
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Learning Targets and Learning Criteria |
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Students are successful when they can…
- demonstrate the relationship of the three side lengths of any right angle by the use of visual models.
- apply algebraic reasoning to relate the visual model to Pythagorean Theorem.
- determine if a given triangle is a right triangle using Pythagorean Theorem.
- explain a proof of the converse of the Pythagorean Theorem.
- apply the Pythagorean Theorem to find an unknown side length of a right triangle.
- identify the hypotenuse as the side opposite the right angle in a triangle.
- draw a diagram and use the Pythagorean Theorem to solve real-world problems involving right triangles, including three-dimensional figures.
- connect any two points on a coordinate grid to a third point so that the three points form a right triangle.
- apply the Pythagorean Theorem with the characteristics of a right triangle to find the distance between the original two points.
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Classroom Activities |
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Monday (Innovative and 3rd Period Students) / Tuesday (5th Period Students)
- i-Ready Online Assignment – (20 minutes) – students need to complete one (1) i-Ready Online Assignment Quiz for the week.
- Instruction – Pythagorean Theorem
- Assignments – IXL due Wednesday, March 3rd
- 8th Grade R.1 Pythagorean Theorem: find the length of the hypotenuse
- 8th Grade R.2 Pythagorean Theorem: find the missing leg length
- 8th Grade R.3 Pythagorean Theorem: find the missing leg or hypotenuse length
- 8th Grade R.4 Pythagorean Theorem: find the perimeter
- 8th Grade R.5 Pythagorean Theorem: word problems
- 8th Grade R.6 Converse of the Pythagorean Theorem: is it a right triangle?
Wednesday (All Students)
Review Pythagorean Theorem – kahoot!, Quizizz
Thursday (Innovative and 3rd Period Students) / Friday (5th Period Students)
- i-Ready Online Assignment – (25 minutes) – students need to complete one (1) i-Ready Online Assignment Quiz for the week.
- Instruction – Finding Distance with the Pythagorean Theorem
- Assignments – IXL due Friday, March 5th
- 8th Grade N.4 Find the distance between two points
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Assignments Due |
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Summatives
None
Formatives
Due Wednesday, March 3rd
- IXL 8th Grade R.1 Pythagorean Theorem: find the length of the hypotenuse
- IXL 8th Grade R.2 Pythagorean Theorem: find the missing leg length
- IXL 8th Grade R.3 Pythagorean Theorem: find the missing leg or hypotenuse length
- IXL 8th Grade R.4 Pythagorean Theorem: find the perimeter
- IXL 8th Grade R.5 Pythagorean Theorem: word problems
- IXL 8th Grade R.6 Converse of the Pythagorean Theorem: is it a right triangle?
Due Friday, March 5th
- One (1) i-Ready Online Assignment Quiz
- IXL 8th Grade N.4 Find the distance between two points
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Additional Resources |
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All Notes are uploaded into GradeBook (Focus).
All IEP accommodations are provided each class.
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