A lesson on Squares and Roots / Approximating Irrational Roots!
This lesson was created for students preparing for the 9th grade NYS Common Core Regents Exam in Algebra. This lesson instructs and assesses students on multiple Common Core State Standards.
WHAT YOU GET:
WORD document (20 pages)
includes the lesson elements below & partial key
PDF document (20 pages)
for ease of printing
OBJECTIVE: All students will be able to square rational numbers, determine the square root of perfect squares, and approximate the value of irrational roots.
DO NOW: spiraled review designed to build momentum in the opening moments of class
MAD MINUTE: timed practice on essential basic skills – designed to build automaticity
WARM UP: longer review on prior lesson – designed to build fluency toward mastery
PRACTICE: quick hits and more challenging at-bats – assess ability with increased rigor
EXPLORE: allows students to access guided discovery of new concept before delivery
RULES & TOOLS: instructional delivery of new concept – rules, steps and procedures
GUIDED PRACTICE: gradual release of cognitive work with increasing rigor
INDIVIDUAL PRACTICE: multiple problems with increasing rigor and varied problem types
BREAK DOWN & LIGHT UP: student analysis of concept – written reflections and extensions
REVIEW: spiraled (often recycled) review on the more rigorous aspects of prior standards
EXIT SLIP: informal assessment of student progress toward mastery of objective
HOMEWORK: front & back assignment that includes work from current and prior standards
KEY INCLUDED – embedded in word document (as comments) (hidden when printed)
PRIOR KNOWLEDGE: Students should know how to evaluate expressions with exponents, have worked with perfect squares, have a knowledge of inverse operations, place numbers on a number line, understand the concept of irrational numbers, and multiply rational numbers.
STANDARDS DRIVEN: Students are primarily expected to understand that squares and square roots are inverse operations, that the square root pf perfect squares are rational and square roots of non-perfect squares are irrational, use rational numbers to approximate the value of irrational roots. Students will be expected to extend this to approximating irrational roots to determine which rational approximation is closer to irrational roots. This lesson follows a lesson on solving multi-step linear equations in one variable and precedes a lesson on number sets.
This is an editable word file that includes a partial key as margin notes / comments (these can be hidden in the “Review” Pane) I create my documents in compatibility mode because it allows users more control over pictures and graphs. To ensure that you are getting the best quality, you should not save the file in any new format as certain design elements may be lost.