december 1, 2014

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December 1, 2014

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Page 1: December 1, 2014

December 1, 2014

Page 2: December 1, 2014
Page 3: December 1, 2014

Which got me thinking.....

Page 4: December 1, 2014

Average Daily Temps.

1. On average, the warmest January day in New York rises to what temperature?2. In October, the degree change in temperature on any given

day is ≈ |what|?4. Write an inequality showing the range of temperatures in

New York throughout the year.3. On average, the smallest change in daily temperature occurs in what month(s)?

Page 5: December 1, 2014

Average Daily Temps.

1. For nearly all months, the average daily temperature changes by ≈ how many degrees?2. The average low temperature changes by ≈ how many degrees between November and January? 3. Write an inequality showing the range of temperatures in

Tokyo throughout the year.

Page 6: December 1, 2014

1. The warmest evenings occur in what month?2. The lowest high temperature is _____ and occurs in what month?3. In November, the daily temperature changes by ≈ how many degrees?4. Write an inequality showing the range of temperatures in

Punta Arenas throughout the year.

Page 7: December 1, 2014

No ChartAvailable

75 7373 75

1. The greatest high temperature difference from any day in any month is |what|?2. Write an inequality showing the least and greatest daily range of temperature change throughout the year.

The most consistent temperature in the world

Saipan holds the Guinness World Record for most consistent temperature. The average difference between night and day is greater than the average difference between winter and summer. This is an extremely unusual global occurrence.

3. How does Saipan’s greatest temperature change differ from the other charts shown?

Page 8: December 1, 2014
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Number Properties

Page 11: December 1, 2014

Properties

Properties are the rules of the numbers game.

Like any rules, they state what can and cannot be performed.

If these rules are changed, the way we solve problems would be totally different and make no sense.

Page 12: December 1, 2014

Commutative Properties

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Associative Properties

Page 16: December 1, 2014

Associative Property

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Associative Property

Page 18: December 1, 2014

Identity Properties

Page 19: December 1, 2014

Identity Properties

a + 0= a

7 + 0 =7

Page 20: December 1, 2014

Identity Properties

1•a = a

8•1= 8

𝟐

𝟑• 1 =

𝟐

𝟑

Multiplicative Identity is…

1

One times a number is that number.

Multiplicative Identity

Page 21: December 1, 2014

Inverse Properties

Page 22: December 1, 2014

Inverse Properties

Additive Inverse - Opposite

Another number that added to the original number is equal to the additive identity, which is….

0

-3 + 3

5 + (-5)

Page 23: December 1, 2014

Inverse Properties

Multiplicative Inverse: The Reciprocal

A number that when multiplied by the original number is equal to the Multiplicative Identity, which is 1

½ •2 = 1 3 •?? = 1

-1/4 •?? = 1

If xy = 1, then x = ?

Page 24: December 1, 2014

Practice Problems

Page 25: December 1, 2014

Original

Number

Additive

Inverse

Multiplicative

Inverse

Opposite &

Reciprocal

1/5

-1

-6/11

-1/5 5 - 5

1 -1 1

6/11 -11/6 11/6

(x – y) + ? = 0 - x + y

Page 26: December 1, 2014

TODAY

Class Work 2.5: