1. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
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2. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
Homework Review Lesson 11
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3. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
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4. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
MODULE 3 Raonal Numbers
Topic A: Understanding Posive and Negave Numbers on the
Number Line
Lesson 12: The Relaonship Between Absolute Value and Order
Student Outcomes
§
Students understand that the order of posive numbers is the same as the order of their absolute values.
§
Students understand that the order of negave numbers is the opposite order of their absolute values.
§
Students understand that negave numbers are always less than posive numbers.
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5. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
Example 1: Comparing Order of Integers to the Order of their Absolute Values
Write an inequality statement relang the ordered integers from the Opening Exercise.
-12 < -9 < -5
< -2 < -1 <
0
<
2
<
< 5 < 7< 8
Below each integer write its absolute value.
Are the absolute values of your integers in order? Explain
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6. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
Circle the absolute values that are in increasing numerical order and their corresponding integers,
and then describe the circled values.
Rewrite the integers that are not circled in the space below. How do these integers
differ from the ones you circled?
Rewrite the negative integers in ascending order and their absolute values in
ascending order below them.
Describe how the order of the absolute values compares to the order of the negative
integers.
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7. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
Exercise 1
Complete the steps below to order these numbers:
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8. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
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9. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
MODULE 3 Raonal Numbers
Topic A: Understanding Posive and Negave Numbers on the
Number Line
Lesson 13: Statements of Order in the Real World
Student Outcomes
§
Students apply understanding of order and absolute value when examining real world scenarios. Students realize, for
instance, that the depth of a locaon below sea level is the absolute value of a negave number, while the height of an object
above sea level is the absolute value of a posive number.
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10. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
A radio disc jockey reports that the temperature outside his studio
Classwork
Opening Exercise has changed 10 degrees since he came on the air this morning.
"changed"
Is it 10 degrees warmer?
Is it 10 degrees colder?
The report is not specific enough to be conclusive
because degrees of change could mean an increase or
decrease in temperature. A listener might assume the
report says an increase in temperature, however, the
word “changed” is not specific enough to conclude a
posive or negave change.
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11. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
A radio disc jockey reports that the temperature outside his studio
has changed 10 degrees since he came on the air this morning.
How could you change the report to make it more informative?
Using the words “increased“ or “decreased” instead of
“changed” would be much more informative.
In real world contexts, descriptive words such as debt, credit,
increase, and decrease, help us indicate when a given magnitude is
representative of a positive or negative value.
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12. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
Try exercises 2-4 on your own then we will review
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13. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
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14. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
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15. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
Example 2: Using Absolute Value to Solve Real‐World Problems
The captain of a fishing vessel is standing on the deck at 23 feet
above sea level. He holds a rope ed to his fishing net that is
below him underwater at a depth of 38 feet.
Look at the diagram using a number line, then use absolute value
to compare the lengths of rope in and out of the water.
length of rope in the water _________________
length of rope out of the water _________________
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16. Module 3 Lessons 12 & 13 merged.notebook
February 12, 2014
Closing
Please take out your exit ticket for Lesson 12 & 13, close your
binder, and complete the exit ticket. This will be collected.
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