Student Learning Map

  • Topic:The Pythagorean Theorem:Looking for Pythagoras
  • Subject(s):Math
  • Days:24
  • Grade(s):8
Key Learning:

The Pythagorean Theorem can be used to determine the relationship between the sides of a right triangle.
Unit Essential Question(s):
 
 

What is the Pythagorean Theorem and when is it appropriate to apply it?
   
Concept:

Points on a Coordinate Grid

(Inv. 1)

4.5.8.B.1b   4.5.8.B.1a  
Concept:

Areas and Lengths of Quadrilaterals and Triangles

(Inv. 2)

4.5.8.B.1b   4.5.8.B.1a   4.5.8.C.6   4.1.8.C.1   4.1.8.A.1  
Concept:

The Pythagorean Theorem

(Inv. 3 and 4)

4.5.8.B.1b   4.5.8.B.1a   4.5.8.C.6   4.5.8.E.1c   4.1.8.C.1   4.2.8.A.2   4.1.8.A.1  
Lesson Essential Question(s):

How do you locate points and find distances on a coordinate grid?

 (A)

Lesson Essential Question(s):

What is square root and how does it relate to the side length of a square?

 (A)

Lesson Essential Question(s):

How can the Pythagorean theorem be used to find missing side lengths of a right triangle?

 (A)

Vocabulary:

Vocabulary:

square root

Vocabulary:

hypotenuse

Concept:

Irrational Numbers

(Inv. 5)

4.5.8.B.1b   4.5.8.B.1a   4.5.8.C.6   4.2.8.A.1a   4.1.8.A.6   4.1.8.A.7  
Concept:
Concept:
Lesson Essential Question(s):

How can you determine whether a number is rational or irrational?

 (A)

Lesson Essential Question(s):

(A)

Lesson Essential Question(s):
Vocabulary:

terminating decimal, repeating decimal, rational number, irrational number, real number

Vocabulary:

Vocabulary:

Additional Info:

labsheets, graphing calculators, Geoboards (optional), angle rulers (optional), dot paper, graph paper, string or straws, centimeter ruler

Resources:

View As PDF
Student Learning Map of Unit
Vocabulary Report

Culminating Activities:

1. Untitled Culminating Activity

Student Assessment(s):

1. Untitled Student Assessment

Acquisition Lesson(s):

1. What is square root and how does it relate to the side length of a square?

Vocabulary Report

  • square root -
  • hypotenuse -
  • terminating decimal -
  • repeating decimal -
  • rational number -
  • irrational number -
  • real number -