# Q2, W3: October 29th – November 2nd

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Teacher Felicia Taylor Intensive Math 8th 12 Focus 4: Pythagorean Theorem
Standard(s) Taught

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.

Learning Targets and Learning Criteria

Students will be successful when:

Standard MAFS.8.G.2.6

• 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.

Assessment Limits:

• For the converse, use only perfect roots.

Standard MAFS.8.G.2.7

• apply the Pythagorean Theorem to find an unknown side length of a right triangle.
• draw a diagram and use the Pythagorean Theorem to solve real-world problems involving right triangles, including three-dimensional figures.

Assessment Limits:

• If the triangle is part of a three-dimensional figure,a graphic of the three-dimensional figure must be included.
• Points on the coordinate grid must be where grid lines intersect.

Standard MAFS.8.G.2.8

• connect any two points on a coordinate gird 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. (the distance formula is not required.

Assessment Limits:

• If the triangle is part of a three-dimensional figure,a graphic of the three-dimensional figure must be included.
• Points on the coordinate grid must be where grid lines intersect.
Classroom Activities

Tuesday

1. Instruction – Pythagorean Theorem
2. Worksheet – Pythagorean Theorem Puzzle (sole for the missing leg or hypotenuse)
3. Scavenger Hunt – Pythagorean Theorem (solve for the missing leg or hypotenuse)

Wednesday (Short Class Period – Early Release Day)

1. Worksheet – Halloween Two-step equations Color sheet

Friday

1. IXL – individually assigned based on i-Ready results
2. i-Ready Online Assignments (45 minutes)
3. Worksheet – Converse of the Pythagorean Theorem – Is it a right triangle?
Assignments Due

Summative

None

Formative

All worksheets and Quizizz assignments will be graded.