# Q2, W4: November 5th – 9th

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Teacher Felicia Taylor Intensive Math 8th 13 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 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.  (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. Task Cards – Pythagorean Theorem
2. MathSpace – Pythagorean Thereom

Wednesday

1. i-Ready Online Assignments (25 minutes)
2. Worksheet – Converse of the Pythagorean Theorem Maze

Friday

1. i-Ready remediation – individually assigned IXLs based on i-Ready results
2. i-Ready Online Assignments (20 minutes)
3. Worksheet – Pythagorean Theorem Shooter Murder Mystery Project
Assignments Due

Summative

None

Formative

All worksheets and MathSpace assignments will be graded.

Additional Resources

All accommodations per individual IEP will be provided each class.