Lesson #35 - Ordering Integers and Rational Numbers

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  • 8/10/2019 Lesson #35 - Ordering Integers and Rational Numbers

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    Rational NumbersDay 7Van Siclen Community Middle SchoolMr. EGrade 6 Mathematics

    Class 602/603/604/605

    January 5, 2015

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    www.tinyurl.com/vscmath75

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    Do Now5 Minutes Elsa and John are competing in a 2015

    track race. Elsa runs at a rate of 464feet/8 minutes. John runs at a rate of348 feet/6 minutes. Who runs faster?

    A) John

    B) Elsa

    C) Neither

    Convert .63 to a fraction.

    13

    20of the cookies Mr. E baked ar

    cookies. What percent of the cooare sugar cookies? What percenNOT sugar cookies?

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    Lesson Overview

    Welcome back!

    Today well spend some time reviewing some of the things we learnedabout positive and negative integers last year.

    Afterwards, we will focus a lot more on comparing integers, orderingintegers, and a new topic, absolute value.

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    Mr. Es Guess My Number Game 4 minutes I am going to be thinking of a number.

    You may only ask me 3 questionsbefore guessing the number.

    You must raise your hand and wait tobe called in order to ask a question.

    A) I am thinking of a number betwand -7. What is my number?

    B) I am thinking of a NON-intege

    between3

    4and

    9

    4. What is my num

    C) I am thinking of a NON-intege

    NEGATIVE rational number betw

    and -10

    8. What is my number?

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    Larger or Smaller?3 minutes

    A) Mr. Campbell says to Mr. E B is larger than A. Is he correct? How do

    you know?

    B) Mr. E says that Z is larger than D. Is he correct? How do you know?

    B A D Z

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    Ordering in Word Problems5 min

    1) The record low temperatures for a town in New York for January are -34F and in February -25F. Order the temperatures from least to greatest.

    2) On a Wednesday January the temperature was -10F. One month laterin February, the temperature increased 25 degrees. What was the newtemperature? Order the temperatures from least to greatest.

    3) Johns time for running the mile in gym class is 9.2 minutes. Elsas time

    is 9.18 minutes. Who ran the mile in less time? Order the numbers fromleast to greatest.

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    Ordering in Word Problems II5 min 1) Ms. Cave teachers at P.S. 178 in Brooklyn. She gives bonus points on tests for

    clear answers, and deducts points for unclear answers. She wrote the following ostudents papers:

    Student A: -2 points, Student B: -2.5 points. Did student A or student B perform woon the test?

    2) A piranha is swimming approximately 53

    4feet beneath the waters surface and

    flounder is swimming approximately 32

    3feet beneath the waters surface. Which f

    is swimming further beneath the waters surface?

    3) Mr. Dunne, Mr. E and Mr. Campbell are playing a card game. The object of thegame is to finish with the most points. The scores at the end of the game are:

    Mr. E: -5, Mr. Campbell: -7, Mr. Dunne: 0.

    Who won the game? Who came in last place? Order the numbers from least togreatest and explain how you know.

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    Ordering in Word Problems II5 min

    1) Mr. Dunne, Mr. E and Mr. Campbell played another round of their card game. This the scores were different:

    Mr. E: -1, Mr. Campbell: -2, Mr. Dunne: -4. Who won? Who came in last place?

    2) In VSC Math, two students are debating the relationship between rational numberstheir claims below, then write an explanation of who is correct and how you know.

    Student As claim: I know that 3 is greater than 21

    2. So, -3 must be greater than - 2

    1

    2.

    Student Bs claim: Yes, 3 is greater than 21

    2, but when you look at their opposites, th

    order will be opposite. So that means -21

    2is greater than -3.

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    What is the value of each number?Which number is larger?

    I will think of two numbers.

    I will give you clues to help you find out what numbers I am thinking of.

    Your role is to determine the value of each number and state which one is greater!

    Use the number line diagram below to help you! Four rounds!

    5 Mi

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    Homework #1Due Tuesday!