Transcript Presentation

Models and Pictorials
Warm - up
Peoples’ Choice
Power point
How Can Bigger Be Less?
Guided Practice
Less Is Okay
People’s Choice
Warm Up
According to the Yorkie Haven Rescue Association , eleven out
of twenty-five people own medium sized dogs and 13 out of
15 people own large sized dogs. Do more people own large or
medium size dogs?
11 out of 25means
13 out of 15 means
11 = 44 = 0.44 = 44%
25
100
13
2
15 = 0.86 3
__
_
2
= 0.866 = 86 3 % = 86.6
According to the Yorkie Association more people own large
sized dogs than medium sized dogs.
Does anyone know what the numbers to the right of zero are called?
left
-10
-8
Positive numbers right
Negative numbers
-6
-4
-2
0
+2
+4
+6
+8
+10
What about a name for the numbers the left of zero?
What about zero? Is zero negative or positive?
Zero is not positive nor negative
From what has been discussed and observed, what are Integers?
Integers are the positive numbers, negative numbers and zero.
What does the positive sign indicate?
The positive (+) sign means numbers right of zero.
What does the negative sign indicate?
The negative (-) sign means numbers left of zero.
Integers are directed signed numbers that can be
shown on both a horizontal and vertical number line
Discuss with a partner your conclusions after observing
both number lines.
+3
The positive (+) sign means numbers right of zero
on the horizontal number line and above zero on the
vertical number line. These values are greater
than zero.
+2
+1
Above zero
-1
-2
Positive numbers
Negative numbers
-3 -2
-1
0
+1
+2
+3
-3
Below
zero
Negative numbers
The negative(-) sign means numbers left of zero on
the horizontal number line and below zero on the
vertical number line. These values are less than
zero.
0
Positive numbers
Negative Numbers
-10
-8
-6
-4
-2
0
+2
+4
+6
+8
+10
Integers are directed numbers. The positive (+)sign means numbers right of zero and the
negative (-) means numbers left of zero on the number line.
How would you describe the location and plot each integer on the number line?
-4
-4 is located 4 units left of zero.
-10
-10 is located 10 units left of zero.
3
3 is located 3 units right of zero.
6
6 is located 6 units right of zero.
-1
-1 is located 1 unit left of zero.
With a partner create several of your own, describe and plot on a number line.
left
-10
-8
Greater
Negative Numbers
-6
-4
-2
Positive numbers
0
+2
+4
right
+6
+8
+10
Less
Observe the number line. With a partner discuss and record your observations to the
questions listed.
a. What's happening to the values as they move from zero going to the right? What about
from +4 going farther to the right?
The values are greater whether moving right from 0 or +4.
b. What if the number moves right from -6? Is the same observation true as for a? Explain.
It doesn't matter where on the number line you start, if you are moving right the values
are greater. On the negative side the closer the value is to zero the greater it is and on
the positive side the farther away from zero the greater the value.
c. What happens to the values as they move from zero going to the left? What about from
-4 going farther to the left?
The values are less whether moving left from 0 or -4.
d. What if the number moves left from +6? Is the same observation true as for c? Explain.
It doesn't matter where on the number line you start, if you are moving left the values are
less. On the positive side the closer the value is to zero the less it is and on the negative side
the farther away from zero the lesser the value.
How Can Bigger Be Less?
Compare these numbers. Discuss with a
partner any observations you find. Record
your observations.
Write the direction-left or right.
Less or greater
Write using > or < symbols
-3 is to the ____of 2 so;
–3 is ____than 2:
_________
-2 is to the ____of 0 so;
–2 is ____than 0:
_________
4 is to the ____of 1 so;
4 is ____than 1:
_________
-15 is to the____of 11 so;
-15 is ____than 11:
_________
0 is to the____ of -12so;
0 is ____than -12:
_________
-4 is to the ____of -3 so;
–4 is ____than -3:
_________
1 is to the ____of 4 so;
1 is ____than 4:
_________
How Can Bigger be Less?
Drawing and plotting points on a number line
order numbers from least to greatest.
In sports such as golf or racing, a low number
is the best score and not a high number.
Compare these number. Discuss any A low temperature is colder while a high
observations you find.record your
temperature is warmer.
observations.
Write the direction.Left or right.
Less or greater
Symbolically > or <
-3 is to the left of 2 so;
-2 is to the leftof 0 so;
4 is to the right of 1 so;
-15 is to the left of 11 so;
0 is to the rightof -12so;
–3 is less than 2:
–2 is less than 0:
4 is greater than 1:
-15 is less than 11:
0 is greater than -12:
-3 < 2
-2 < 0
4 >2
-15 < 11
0 > -1 2
-4 is to the leftof -3 so;
–4 is less than -3:
-4 < -3
1 is to the leftof 4 so;
1 is less than 4:
1< 4
Less Is Okay
Guided Practice
.
1. Graph each integer on the number line.
-10
-8 -6
-4
-2
0
2
4
6
8
10
1, -2, 8, 2, -9, -4
2. Order these integers from greatest to least.
8, 2, 1, -2, -4 , -9
3. Write two inequalities using < and > symbols comparing 7 and –4.
7 > -4
-4 < 7
4. Write < or > or = to make a true statement.
a. -18 < -8
b. 0 > -3
c. 9 > -9
d. -6 < -2
5. Order the integers from least to greatest.
.
a. - 28, 18, 7, -17,0, - 12
-28,-17,-12,0,7.28
b. - 7, -12, -16, -10, -8
-16,-12,-10,-8, -7
c. 99, -42, 13, -2, 11, -49
-49, -42, -2, 11, 13, 19
d. 320, -250, -19, 15, 2
-250, -19, 2, 15, 320
e. 5 > -23
6.The table show the average temperature on the surface of nine planets.
Earth
Jupiter
Mars
Mercury
Neptune
Saturn
Uranus
Venus
8°C
-150°C
-37°C
179°C
-225°C
-185°C
-214°C
453°C
Planet
Temp.
Degrees
Celsius
List the planets in order from hottest to coldest.
Venus, Mercury, Earth, Mars, Jupiter, Saturn, Uranus, Neptune