Grade 8 Mathematics Module 7

Middle School Children Reading

Grade 8 Module 7: Introduction to Irrational Numbers Using Geometry

Module 7 begins with work related to the Pythagorean Theorem and right triangles.  Before the lessons of this module are presented to students, it is important that the lessons in Modules 2 and 3 related to the Pythagorean Theorem are taught (M2:  Lessons 15 and 16, M3:  Lessons 13 and 14).  In Modules 2 and 3, students used the Pythagorean Theorem to determine the unknown length of a right triangle.  In cases where the side length was an integer, students computed the length.  When the side length was not an integer, students left the answer in the form of x2=c, where c was not a perfect square number.  Those solutions are revisited and are the motivation for learning about square roots and irrational numbers in general.

The student materials consist of the student pages for each lesson in Module 7.  

The copy ready materials are a collection of the module assessments, lesson exit tickets and fluency exercises from the teacher materials. 

Common Core Learning Standards

CCLS State Standard
8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every...
8.NS.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate...
8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3...

Curriculum Map