NYS COMMON CORE MATHEMATICS CURRICULUM M2 Lesson 23 GEOMETRY Lesson 23: Adding and Subtracting Expressions with Radicals 365 This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org This file derived from GEO-M2-TE-1.3.0-08.2015 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 23: Adding and Subtracting Expressions with Radicals Student Outcomes Students use the distributive property to simplify expressions that contain radicals. Lesson Notes In this lesson, students add and subtract expressions with radicals, continuing their work from the previous lesson. Again, the overarching goal is for students to rewrite expressions involving radical and rational exponents using the properties of exponents ( N.RN.A.2 ), which is mastered in Algebra II. Practice adding and subtracting expressions in a geometric setting is provided to achieve this goal. Classwork Exercises 1 – 5 (8 minutes) The first three exercises are designed to informally assess students’ ability to simplify square root expressions , a skill that is necessary for the topic of this lesson. The last two exercises provide a springboard for discussing how to add expressions that contain radicals. Encourage students to discuss their conjectures with a partner. The Discussion that follows debriefs Exercises 1 – 5. Exercises 1 – 5 Simplify each expression as much as possible. 1. √?? = √?? = √?? √? = ?√? 2. √?? = √?? = √? √? = ?√? 3. √??? = √??? = √??? √? = ??√? 4.The triangle shown below has a perimeter of ?. ?√?units. Make a conjecture about how this answer was reached.
5.The sides of a triangle are ?√?, √??, and √??. Make a conjecture about how to determine the perimeter of this triangle.
- Spring '15
- Mr. Gardner
- Addition, NYS, Irrational number