M.8.2

8th Grade

Course Purpose:

Students will construct and solve multi-step linear equations to apply to real world contexts. Students will construct and solve systems of equations to apply to real world contexts. Students will construct and compare multiple representations of functions.

Outcomes and Components:

M.8.2	Students will investigate and use the Pythagorean Theorem to solve mathematical problems and problems in real world contexts.
Pacing Instruct/ Assess	Component Code	Component	Standard(s)
1	M.8.2.1	Explain a proof of the Pythagorean Theorem through an investigation.	8.G.B.6
1	M.8.2.2	State the converse of the Pythagorean Theorem and explain whether or not a triangle is a right triangle based on given measurements.	8.G.B.6
2	M.8.2.3	Solve for unknown side lengths of right triangles for two and three-dimensional figures using the Pythagorean Theorem.	8.G.B.7
3	M.8.2.4	Solve real world situations using the Pythagorean Theorem (2 and 3 dimensional).	8.G.B.7
2	M.8.2.5	Calculate the distance between two points on a coordinate plane using the Pythagorean Theorem.	8.G.B.8
3	M.8.2.6	Calculate the distance between two ordered pairs using the distance formula.	8.G.B.8

Academic Vocabulary: explain, state, calculate

Content Vocabulary: Pythagorean Theorem, Converse of the Pythagorean Theorem, distance formula

Outcomes and Components

Math Curriculum Main
Kindergarten
- M.K.1
- M.K.2
- M.K.3
- M.K.4
- M.K.5
- M.K.6
- M.K.7
- M.K.8
1st Grade
- M.1.1
- M.1.2
- M.1.3
- M.1.4
- M.1.5
- M.1.6
- M.1.7
- M.1.8
- M.1.9
2nd Grade
- M.2.1
- M.2.2
- M.2.3
- M.2.4
- M.2.5
- M.2.6
- M.2.7
- M.2.8
- M.2.9
- M.2.10
3rd Grade
- M.3.1
- M.3.2
- M.3.3
- M.3.4
- M.3.5
- M.3.6
- M.3.7
- M.3.8
- M.3.9
- M.3.10
- M.3.11
- M.3.12
4th Grade
- M.4.1
- M.4.2
- M.4.3
- M.4.4
- M.4.5
- M.4.6
- M.4.7
- M.4.8
- M.4.9
- M.4.10
- M.4.11
- M.4.12
- M.4.13
- M.4.14
- M.4.15
5th Grade
- M.5.1
- M.5.2
- M.5.3
- M.5.4
- M.5.5
- M.5.6
- M.5.7
- M.5.8
- M.5.9
- M.5.10
- M.5.11
- M.5.12
- M.5.13
- M.5.14
6th Grade
- M.6.1
- M.6.2
- M.6.3
- M.6.4
- M.6.5
- M.6.6
- M.6.7
- M.6.8
- M.6.9
- M.6.10
- M.6.11
- M.6.12
- M.6.13
- M.6.14
7th Grade
- M.7.1
- M.7.2
- M.7.3
- M.7.4
- M.7.5
- M.7.6
- M.7.7
- M.7.8
- M.7.9
- M.7.10
- M.7.11
- M.7.12
- M.7.13
8th Grade
- M.8.1
- M.8.2
- M.8.3
- M.8.4
- M.8.5
- M.8.6
- M.8.7
- M.8.8
- M.8.9
- M.8.10
- M.8.11
- M.8.12
- M.8.13
- M.8.14

Math Curriculum

8th Grade