Lesson 4 Intergers.notebook 1 November 29, 2016 Number Relationships Notes #4 Integers http://www.learnalberta.ca/content/mesg/html/math6web/index.html? page=lessons&lesson=m6lessonshell06.swf Spy Guys Integers Integers include three groups of numbers - Counting (positive numbers) - The opposites of counting numbers (negative numbers) - Zero Negative numbers are always shown with a negative (-) sign. Positive numbers do not need to have a + sign.
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Lesson 4 - Intergers.notebook€¦ · Lesson 4 Intergers.notebook 4 November 29, 2016 A number is 12 jumps away from its opposite on a number line. What could the number be and how
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- Counting (positive numbers)- The opposites of counting numbers (negative numbers)- Zero
Negative numbers are always shown with a negative (-) sign. Positive numbers do not need to have a + sign.
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Integers negative numbers are located to the left of zero and positive numbers are located to the right of zero.
the magnitude of the integer determines how many units from zero the integer is.
each negative number is the mirror image of a positive integer with respect to zero. (They are the same distance from zero.)
Zero is neither positive nor negative.
Negative numbers are all less than any positive number.
IntegersWhere do we use negatives?1. thermometer
What is the temperature today?
What would be the temperature on the hottest day of summer in NL? Coldest day of winter?
2. Sea level Below and above
3. Golf Below and above par
4. Hockey a player's plus/minus statistic
5. Money
gain or loss Birthday gift $20 Gave a friend money
6. Slowing down a car negative acceleration
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Where would you see these numbers in real life?
7
20
1
25
3
200
Number line activity Curriculum Guide p. 60
Represent using Integer tiles: 5
3
3
5
7
7
negative
positive
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A number is 12 jumps away from its opposite on a number line. What could the number be and how do you know. Use words, numbers and pictures.
Filll in this number line:
Journal writing
Explain, in writing why 4 and +4 are closer to each other than 6 and +6.
Explain why an integer is never an odd number of jumps away from its opposite on a number line.
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Order in ascending and descending order.
5 3 6 1 2 4 3
Questions to ask yourself when placing numbers on a number line:
Is the integer positive or negative?
Is this integer located to the left or right of 0?
How many units from 0 is the integer?
Place these integers on the number line. Choose your own endpoints and benchmarks.
0 31 2 4 5 6 7 8 9 10123456789
Is this number line is correct? Justify your answer
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Problem:
Joe and John are standing on a number line. Joe is 6 spaces away from John. Joe is standing on a negative number and John is on a positive number. What are some possible numbers Joe and John may be standing on? Explain strategy used. (Use number line from above.)
Seat WorkText page 92 questions 2,3,4, 5Independent Work Handout
FACTOR TREESText page 2a, 3, 4, 5, 7
Comparing Integers When comparing integers, place them on a number line and the number to the right is always greater than the number to the left
Ex. Which number is greater? 8 or 5
We use less than (<) or greater than (>) symbols tocompare numbers.
The bigger end always pointsto the "bigger" number. The smallerend always points to the "smaller"number.
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Choose two negative integers. Compare these numbers by describing a situation in which they could be used (temperature) and use this situation to compare using the less than / greater than symbols.
How many negative numbers are greater than 7. Explain how you know.
Compare these numbers using > or <. 1 1 1 is __________________ 1
2 3 2 is __________________ 3
0 1 0 is __________________ 1
4 5 4 is __________________ 5
10 1 10 is __________________ 1
5 8 5 is __________________ 8
Order these numbers from least to greatest.2 9 3 4 12 13 15 17 5
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Key question
DiscussionText page 9495Text page 96 Checking
Seat WorkText page 96 questions 3, 4, 5, 7, 9
Key QuestionsJournal entry
Seat WorkText page 92 questions 2,3,4, 5Independent Work Handout