Physics 218, Lecture XV1 Physics 218 Lecture 15 Dr. David Toback.
Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.
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Transcript of Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.
![Page 1: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/1.jpg)
Comparing and Ordering
Positive and Negative Numbers
Lesson 6.1Page 218-220
![Page 2: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/2.jpg)
Lesson 6.1:Comparing & Ordering Positive and
Negative Numbers (pg. 218-220)
10/06/08
12R
Lesson 1.2: pg. 219, # 1-6; pg. 220, # 12-17
10/06/08
12L
Standards:
![Page 3: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/3.jpg)
CA Content Standards
• Number Sense 1.1***: We compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line.
• Mathematical Reasoning 1.1: We analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.
![Page 4: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/4.jpg)
Lesson 6.1:Comparing & Ordering Positive and
Negative Numbers (pg. 218-220)
10/06/08
12R
Lesson 1.2: pg. 219, # 1-6; pg. 220, # 12-17
10/06/08
12L
Standards:
Vocabulary:
![Page 5: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/5.jpg)
Vocabulary: INTEGERS
• The set of positive whole numbers, their opposites, and zero. (Ex: -2, -1, 0, +1, +2)
![Page 6: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/6.jpg)
Vocabulary: OPPOSITES
• Pairs of numbers that are the same distance on a number line from zero. (Ex: -7 & +7)
![Page 7: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/7.jpg)
Vocabulary: POSITIVE NUMBERS
• Numbers whose value is greater than zero. (Ex: +4 & +9)
![Page 8: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/8.jpg)
Vocabulary: NEGATIVE NUMBERS
• Numbers whose value is less than zero. (Ex: -3 & -8)
![Page 9: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/9.jpg)
Vocabulary: ABSOLUTE VALUE
• The distance from zero to an integer on the number line.
• Absolute values are always neutral (neither + nor -).
![Page 10: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/10.jpg)
Lesson 6.1:Comparing & Ordering Positive and
Negative Numbers (pg. 218-220)
10/06/08
12R
Lesson 1.2: pg. 219, # 1-6; pg. 220, # 12-17
10/06/08
12L
Standards:
Vocabulary:
Objective:
![Page 11: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/11.jpg)
Objective:
• Compare and order positive and negative numbers.
• Math Link: You know how to compare and order whole numbers, decimals, and fractions. Now you will learn how to compare and order positive and negative numbers.
![Page 12: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/12.jpg)
Lesson 6.1:Comparing & Ordering Positive and
Negative Numbers (pg. 218-220)
10/06/08
12R
Lesson 1.2: pg. 219, # 1-6; pg. 220, # 12-17
10/06/08
12L
Standards:
Vocabulary:
Objective:
Notes & Examples:
![Page 13: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/13.jpg)
Parts of a Number Line
Bigger numbers are to the RIGHT
Smaller numbers are to the LEFT
![Page 14: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/14.jpg)
Place +5, -4, +2, 0, and -2 on a number
line. Then write them in order from least
to greatest.
Bigger numbers are to the RIGHT
Smaller numbers are to the LEFT
REMEMBER…
From least to greatest: -4, -2, 0, 2, 5Example 1.
![Page 15: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/15.jpg)
Place +2, -0.5, 0, -3, and + 1.75 on a
number line. Then write them in order
from least to greatest.
Bigger numbers are to the RIGHT
Smaller numbers are to the LEFT
REMEMBER…
From least to greatest: -3, -0.5, 0, +1.75, +2Example 2.
![Page 16: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/16.jpg)
Lesson 6.1:Comparing & Ordering Positive and
Negative Numbers (pg. 218-220)
10/06/08
12R
Lesson 1.2: pg. 219, # 1-6; pg. 220, # 12-17
10/06/08
12L
Standards:
Vocabulary:
Objective:
Notes & Examples:
pg. 219, # 7-10; pg. 220, # 19-24
![Page 17: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/17.jpg)
Write the absolute value and the opposite of -4.
-4
Absolute value (always neutral) = 4
Opposite = +4
Example 3.
![Page 18: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/18.jpg)
Write the absolute value and the opposite
of +386, 942.+386,942
Absolute value (always neutral) = 386,942
Opposite = -386,942
Example 4.
![Page 19: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/19.jpg)
Lesson 6.1:Comparing & Ordering Positive and
Negative Numbers (pg. 218-220)
10/06/08
12R
Lesson 1.2: pg. 219, # 1-6; pg. 220, # 12-17
10/06/08
12L
Standards:
Vocabulary:
Objective:
Notes & Examples:
Moral of the Story:pg. 219, # 7-10; pg. 220, # 19-24
![Page 20: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/20.jpg)
The Moral of the Story
• To order positive and negative numbers, use their position on the number line to assess their relative value.
![Page 21: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/21.jpg)
Math Minute # 310/08/08
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Math Minute # 310/08/08
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![Page 22: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/22.jpg)
Math Minute # 3
① The product of 4 and 6 is ___.
② 2,463 x 0 =
③ 1, 10, 2, 9, 3, ___, ___, ___
④ 8/4=
⑤ 4 48
![Page 23: Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649e7a5503460f94b7b86b/html5/thumbnails/23.jpg)
Math Minute # 3 Continued
⑥ 8 + 6 ÷ 3 =
⑦ 3 + 4 3 =
⑧ Apples: 4 for $ 2. How much does each apple cost?
⑨ 5 + (3 – 1) =
⑩ The difference between 9 and 5 is ___.