School Improvement in Maryland

Gr. 8 Unit: Irrational Numbers

Unit Overview

This unit builds on prior experience with rational numbers, particularly decimals and fractions. They are used to help students understand the difference between numbers that are rational and numbers that are irrational, and to estimate the values of irrational numbers and their positions on a number line compared to the values and positions of rational numbers.

Essential Questions:

  • Since the decimal expansion of irrational numbers continues indefinitely with no pattern, can irrational numbers be used to accurately count/order/compare/label/measure objects in authentic situations?
  • Why is it important for students to know the square root of a number?
  • How can students evaluate their solutions to word problems after solving word problems based on irrational numbers?
  • To what extent is estimation worthwhile in authentic situations?

A question is essential when it stimulates multi-layered inquiry, provokes deep thought and lively discussion, requires students to consider alternatives and justify their reasoning, encourges re-thinking of big ideas, makes meaningful connections with prior learning, and provides students with opportunities to apply problem-solving skills to authentic situations.

Unit Lesson

Additional information such as Teachers Notes, Enduring Understandings,Content Emphasis by Cluster, Focus Standards, Possible Student Outcomes, Essential Skills and Knowledge Statements and Clarifications, and Interdisciplinary Connections can be found in this Lesson Unit.

Available Model Lesson Plans

The lesson plan(s) have been written with specific standards in mind. Each model lesson plan is only a MODEL - one way the lesson could be developed. We have NOT included any references to the timing associated with delivering this model. Each teacher will need to make decisions related ot the timing of the lesson plan based on the learning needs of students in the class. The model lesson plans are designed to generate evidence of student understanding.

This chart indicates one or more lesson plans which have been developed for this unit. Lesson plans are being written and posted on the Curriculum Management System as they are completed. Please check back periodically for additional postings.

CCSC Alignment: 8.NS.A.1

Available Model Lesson Seeds

The lesson seed(s) have been written with specific standards in mind. These suggested activity/activities are not intended to be prescriptive, exhaustive, or sequential; they simply demonstrate how specific content can be used to help students learn the skills described in the standards. Seeds are designed to give teachers ideas for developing their own activities in order to generate evidence of student understanding.

This chart indicates one or more lesson seeds which have been developed for this unit. Lesson seeds are being written and posted on the Curriculum Management System as they are completed. Please check back periodically for additional postings.

CCSC Alignnment: 8.NS.A.1