 Secondary Mathematics II

Strand: NUMBER AND QUANTITY - The Real Number System (N.RN)

Extend the properties of exponents to rational exponents (Standards N.RN.1�2). Use properties of rational and irrational numbers (Standard N.RN. 3).

Standard N.RN.3

Explain why sums and products of rational numbers are rational, that the sum of a rational number and an irrational number is irrational, and that the product of a nonzero rational number and an irrational number is irrational. Connect to physical situations (e.g., finding the perimeter of a square of area 2).

• Calculating the square root of 2
This Illustrative Mathematics task is intended for instructional purposes so that students can become familiar and confident with using a calculator and understanding what it can and cannot do.
• Classifying Rational and Irrational Numbers
This lesson unit is intended to help educators assess how well students are able to distinguish between rational and irrational numbers
• Coordinates of equilateral triangles
The purpose of this Illustrative Mathematics task is to examine angles of triangles whose vertices have specific integer coordinates.
• Evaluating Statements about Rational and Irrational Numbers
This lesson unit is intended to help you assess how well students reason about the properties of rational and irrational numbers.
• Introduction to the Materials (Math 2)
Introduction to the Materials in the Mathematics Two of the The MVP classroom experience begins by confronting students with an engaging task and then invites them to grapple with solving it. As students ideas emerge, take form, and are shared, the teacher orchestrates the student discussions and explorations towards a focused mathematical goal. As conjectures are made and explored, they evolve into mathematical concepts that the community of learners begins to embrace as effective strategies for analyzing and solving problems.
• Module 3: Solving Quadratics & Other Equations - Student Edition (Math 2)
The Mathematics Vision Project, Secondary Math Two Module 3, Solving Quadratics & Other Equations. The idea that different quadratic forms are useful in graphing is extended in Module 3, Solving Quadratic and Other Equations, when students use different forms of quadratic equations to find the roots or solve quadratic equations of a single variable.
• Module 3: Solving Quadratics & Other Equations - Teacher Edition (Math 2)
The Mathematics Vision Project, Secondary Math Two Module 3, Solving Quadratics & Other Equations. The idea that different quadratic forms are useful in graphing is extended in Module 3, Solving Quadratic and Other Equations, when students use different forms of quadratic equations to find the roots or solve quadratic equations of a single variable.
• NUMBER AND QUANTITY - The Real Number System (N.RN) - Sec Math II Core Guide
The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for the Secondary Mathematics II - The Real Number System (N.RN)
• Operations with Rational and Irrational Numbers
This Illustrative Mathematics task has students experiment with the operations of addition and multiplication, as they relate to the notions of rationality and irrationality.
• Sums of rational and irrational numbers
The goal of this Illustrative Mathematics task is to examine sums and products of rational and irrational numbers. http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Lindsey Henderson and see the Mathematics - Secondary website. For general questions about Utah's Core Standards contact the Director - Jennifer Throndsen.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.