Course 3 Online!
Henrico County Public Schools, Virginia
 Home Pacing SOL Tracker Math 8 Standards Virginia Department of Education Return to HCPS Math Courses Important News: Effective August 15, 2018, this site will be realigning to the 2016 SOL. As a result, many of the instructional notes, activities, and worksheets will be removed. Please download any files you wish to keep for future use.
8.5 - Square Roots
 Number and Number Sense, Computation and Estimation Measurement and Geometry Probability, Statistics, Patterns, Functions, and Algebra SOL Review Materials Frequently Asked Questions
 Computation and Estimation Focus: Practical Applications of Operations with Real Numbers The student will a)   determine whether a given number is a perfect square; and b)   find the two consecutive whole numbers between which a square root lies. HCPS Course 3 Curriculum Guide
 Essential Knowledge and Skills Identify the perfect squares from 0 to 400. Identify the two consecutive whole numbers between which the square root of a given whole number from 0 to 400 lies (e.g.,square root of 57  lies between 7 and 8 since 72 = 49 and 82 = 64). Define a perfect square. Find the positive or positive and negative square roots of a given whole number from 0 to 400. (See Curriculum Guide or Framework for symbols). Essential Understandings How does the area of a square relate to the square of a number? The area determines the perfect square number. If it is not a perfect square, the area provides a means for estimation. Why do numbers have both positive and negative roots? The square root of a number is any number which when multiplied by itself equals the number. A product, when multiplying two positive factors, is always the same as the product when multiplying their opposites (e.g., 7 ∙ 7 = 49 and  -7 ∙ -7 = 49).
Vertical Articulation
1. SOL 6.5 - investigate/describe positive exponents, perfect squares
2. SOL 7.1a - investigate/describe negative exponents for the powers of 10
3. SOL 7.1d - determine square roots
Instructional Materials
Real World Lessons
Practice
Self-Assessments
Skills
1. Mathematics Assessment Project
• A06:Sidewalk Patterns - Apprentice - In Prague some sidewalks are made of small square blocks of stone. The blocks are in different shades to make patterns that are in various sizes. In this task, you will look for rules which let you work out how many blocks of different colors are needed to make different sized patterns. (This task is very similar to Sidewalk Stones, but offers more step-by-step guidance.)
• E13:Sidewalk Stones - Expert - This task is very similar to Sidewalk Patterns, but offers less step-by-step guidance.
Videos
Explore Learning
1. None
Websites

VDOE Interventions
1. VDOE Algebra Readiness Curriculum Companion: Exploring Whole Numbers - The lessons focus on solving problems that use whole number operations, prime and composite numbers, odd and even numbers, perfect squares and square roots. (pdf)
Common Core Standards
 8.NS.2 8.EE.2