Q3, W6: March 1st – 5th Advanced Math

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.

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.

Monday (Innovative and 3rd Period Students) / Tuesday (5th Period Students)

1. i-Ready Online Assignment – (20 minutes) – students need to complete one (1) i-Ready Online Assignment Quiz for the week.
2. Instruction – Pythagorean Theorem
3. Assignments – IXL due Wednesday, March 3rd
   1. 8th Grade R.1 Pythagorean Theorem: find the length of the hypotenuse
   2. 8th Grade R.2 Pythagorean Theorem: find the missing leg length
   3. 8th Grade R.3 Pythagorean Theorem: find the missing leg or hypotenuse length
   4. 8th Grade R.4 Pythagorean Theorem: find the perimeter
   5. 8th Grade R.5 Pythagorean Theorem: word problems
   6. 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)

1. i-Ready Online Assignment – (25 minutes) – students need to complete one (1) i-Ready Online Assignment Quiz for the week.
2. Instruction – Finding Distance with the Pythagorean Theorem
3. Assignments – IXL due Friday, March 5th
   1. 8th Grade N.4 Find the distance between two points

Summatives

None

Formatives

Due Wednesday, March 3rd

1. IXL 8th Grade R.1 Pythagorean Theorem: find the length of the hypotenuse
2. IXL 8th Grade R.2 Pythagorean Theorem: find the missing leg length
3. IXL 8th Grade R.3 Pythagorean Theorem: find the missing leg or hypotenuse length
4. IXL 8th Grade R.4 Pythagorean Theorem: find the perimeter
5. IXL 8th Grade R.5 Pythagorean Theorem: word problems
6. IXL 8th Grade R.6 Converse of the Pythagorean Theorem: is it a right triangle?

Due Friday, March 5th

1. One (1) i-Ready Online Assignment Quiz
2. IXL 8th Grade N.4 Find the distance between two points

All Notes are uploaded into GradeBook (Focus).

All IEP accommodations are provided each class.