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Rational Numbers!Day 1Van Siclen Community Middle School
Mr. EGrade 6 Mathematics
Class 602/603/604/605
December 8, 2014
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www.tinyurl.com/vscmath69
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Do Now5 minutes
Mr. E and Mr. Campbell are creatingmath problems. Mr. E decides to make 20problems at a time, and Mr. Campbelldecides to make 15 problems at a time. If
they end up creating the same numberof problems, what is the smallest numberof problems they could have made?
Mr. E is preparing identical pfor all of the teachers at the party. There are 10 pieces ofcake and 20 pieces of chee
is the greatest number of plaprepare using all of the choccheesecake pieces?
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Lesson Overview
Welcome to negative and positiveintegers!
We will spend the next few weekslearning about different types of numbers.
One of the most important thelp us in this unit is our NUM
Groups that are very good w
number lines will do the best
Mr. E will help any, and all th
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0 1 2 3 4 5 9876 10
0
1
2
3
45
6
7
8
910
Group Questions: 3 minutes
A) What is the starting number onboth number lines?
B) What is the last whole number onboth number lines?
C) Look at the horizontal numberline above. Do the numbers getincrease, or decrease as youmove further to the right of zero?
D) Look at the vertical number lineto the right. Do the numbersincrease or decrease as you
move further above zero?
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-5 -4 -3 -2 -1 0 4321 5
-5
-4
-3
-2
-10
1
2
3
45A) Numbers to the left of zero are
called negative numbers.
B) Number opposites: Given a non-zero number, the oppositeof a,labeleda, is the number suchthat:
0 is between a and a
The distance between 0 and a, is
the equal to the distance
between 0 and a.
Find the opposite of
What would be theopposite of +10?
What would be the
opposite of +1000?
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A) As we move to the right of the number line the numbers get larger. These num
called positivenumbers because they are larger than 0. Notice the arrow poinright to show a positive direction. We call this number, positive 3.
B) Starting from 0, if we move further to the left of zero, do the numbers get smal
C) These numbers are called negativebecause they are less than zero. Notice thpointing to the left to show a negative direction. This number is called negativ
-5 -4 -3 -2 -1 0 4321 5
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-10 -9 -8 -7 -6 -5 -1-2-3-4 0
Negative numbers are less than zero. Asyou move left on a horizontal number line,the values of the numbers decrease.
IntegersThe set of whole numbers, andtheir opposites, including zero, are calledintegers.
Lets compare!
Which integer is smaller? -9 or -10
Which integer is smaller? 0 or -1
Which integer is larger? -8 or -9?
Which integer is larger? -2 or -5?
What is the relationship between -3 a
They are _____________.
S m a l l e r
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-5 -4 -3 -2 -1 0 4321 5
-5
-4
-3
-2
-1
0
1
2
3
45A) Where are negative numbers
located on a horizontal numberline?
B) Where are negative numberslocated on a vertical numberline?
What is the opposite of -2 andhow do you know?
What is the opposite of 0?
Describe the relationshipbetween 10 and -10.
C) Describe to your ghow to find 10 on a nline.
D) Describe to your ghow to find -10 on a
line.
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A) Where should we start when locating an integer on a number line?
B) What do you notice about the curved arrows that represent the location of 3
-5 -4 -3 -2 -1 0 4321 5
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Mr. Es Classroom Number Line Challe
3 minutes!
A) What part of this activity was challenging?
B) Give an example of two opposite numbers and describe theirlocations on a horizontal number line.
C) How would you describe their locations on a vertical numberline?
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