Weekly Guideline (9/8-912)

CMS WEEKLY LESSON STRUCTURES

TEACHER: _alexander/roberts/robinson/Wilcox_   SUBJECT: __math 8___          GRADE: ___8___           DATE: _9/08/08-9/12/08__   

UNIT: 2

GPS Standard(s)/Element(s) M8N1 Representations of numbers -Students will understand different representations of numbers including square roots, exponents, and scientific notation. M8N1.a Square roots of perfect squares-Find square roots of perfect squares. M8N1.b Square root as length of side of square -Recognize the (positive) square root of a number as a length of a side of a square with a given area. M8N1.c Square roots as pts. & lengths -Recognize square roots as points and as lengths on a number line. M8N1.d Two square roots of a number -Understand that the square root of 0 is 0 and that every positive number has two square roots that are opposite in sign. M8N1.e Use of the radical symbol -Recognize and use the radical symbol to denote the positive square root of a positive number. M8N1.f Estimate square roots - Estimate square roots of positive numbers. M8N1.g Square roots and computation -Simplify, add, subtract, multiply, and divide expressions containing square roots. M8N1.h Rational & irrational numbers -Distinguish between rational and irrational numbers. M8N1.i Integer exponents -Simplify expressions containing integer exponents. M8N1.j Scientific notation-Express and use numbers in scientific notation. M8N1.k Use technology -Use appropriate techologies to solve problems involving square roots, exponents, and scientific notation M8G2 Pythagorean theorem -Students will understand and use the Pythagorean theorem. M8G2.a Properties of right triangles -Apply properties of right triangles, including the Pythagorean theorem. M8G2.b Areas of squares & sides of rt. triangles -Recognize and interpret the Pythagorean theorem as a statement about areas of squares on the sides of a right triangle.

Enduring Understandings: ·  An irrational number is a real number that can not be written as a ratio of two integers. ·  All real numbers can be plotted on a number line. ·  Exponents are useful for representing very large or very small numbers. ·  Square roots can be rational or irrational. ·  Some properties of real numbers hold for all irrational numbers. ·  There are many relationships between the lengths of the sides of a right triangle.

UNIT ESSENTIAL QUESTION: When are exponents and square roots used and why are they important?

MONDAY	TUESDAY	WEDNESDAY	THURSDAY	FRIDAY
LESSON EQ: Why is it useful for me to know the square root of a number?	LESSON EQ: Why is it useful for me to know the square root of a number?	LESSON EQ: How do I simplify and evaluate algebraic expressions involving square roots?	LESSON EQ: How do I simplify and evaluate algebraic expressions involving square roots?	LESSON EQ: How do I simplify and evaluate algebraic expressions involving square roots?
ASSESSMENT: WARM-UP/QUESTIONING	ASSESSMENT: HW	ASSESSMENT: GRAPHIC ORGANIZER	ASSESSMENT: Exit ticket	ASSESSMENT: NOTES
WARM-UP & OPENING: List perfect squares 1-25	WARM-UP & OPENING: List perfect squares 1-25	WARM-UP & OPENING: List perfect squares 1-25	WARM-UP & OPENING: List perfect squares 1-25	WARM-UP & OPENING: List perfect squares 1-25
INSTRUCTIONAL STRATEGIES:
WORK SESSION: Estimating square roots Students will work at stations to explore estimation of square roots. Station 1:Put square root cards in order Station 2: Put square roots cards in order on a number line Review station results Vocabulary: perfect squares, principal square root Homework:  WT pg 123-124	WORK SESSION: Rational and irrational Students will work at stations to explore rational and irrational numbers. Station 1:Put square root cards in order Station 2: Put square roots cards in order on a number line Review station results Vocabulary: rational, irrational, real, imaginary Homework:  WT pg 129-130	WORK SESSION: Rational versus irrational Students will create a graphic organizer that depicts the real number system. Rational and irrational number will be placed in their appropriate sets. Vocabulary: rational, irrational, real, imaginary Homework:  WT pg 145-146	WORK SESSION: Simplifying Rational expressions Students will record examples of simplified rational expressions during note-taking. Homework:  WT pg 141-143	WORK SESSION: Multiplication of rational numbers Students will record examples of multiplying radical expressions during note-taking. Vocabulary: Homework:  None
CLOSING: Exit ticket: What is the square root of zero?	CLOSING: Exit ticket: When is the principal square root utilized?	CLOSING: exit ticket: Put the following in order: , , ,	CLOSING: exit ticket: Give an example of an irrational number and explain why it is irrational	CLOSING: exit ticket: Simplify
NOTES & OBSERVATIONS:	NOTES & OBSERVATIONS:	NOTES & OBSERVATIONS:	NOTES & OBSERVATIONS:	NOTES & OBSERVATIONS: