1. 6th grade Math March Madness
Integers
6th grade Math
March Madness

2. Integers
SPI Use concrete, pictorial, and symbolic representation for integers.
SPI Locate integers on the number line

3. Copy information into your notebook, whenever you see this symbol
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Essential Questions
What are Integers?
How do we order integers
on a number line?
Construct Meaning:
Students will write the key vocabulary under the essential question. Discuss what an integer means.
Copy information into your notebook, whenever you see this symbol

4. EQ: What are Integers? Key Vocabulary
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Key Vocabulary
Integer: The set of whole numbers and their opposites.
Not a decimal or a fraction
Example:
…, -3, -2, -1, 0, 1, 2, 3…
… means to continue with no end
The opposite of 1 is -1
Construct Meaning:
Students will write the key vocabulary under the essential question. Discuss what an integer means.
EQ: What are Integers?

5. EQ: What are Integers? Positive vs. Negative Positive integers
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Positive vs. Negative
Positive integers
Integers greater than zero
Shown with a + or no sign
Example:
3, +3, (+3)
Negative Integers
Integers less than zero
Shown with a –
-3, (-3)
*Zero is neither positive or negative
Construct Meaning:
Students need to be able to recognize positive and negative integers when working with integers. A parentheses () will often help keep the problem organized so students don’t get confused as to what is a positive/negative sign vs. a plus/minus sign.
EQ: What are Integers?

6. EQ: What are Integers? Real-Life Words Positive Integer (+)
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Real-Life Words
Positive Integer
(+)
Negative Integer
(-) Up
Down
Forward
Backward
Gain
Lost
Organize:
Real life situations involve integers as well. Students should be familiar with the following terms and if they denote a positive or negative integer:
Up (+)
Down (-)
Forward (+)
Backward (-)
Gain (+)
Loose (-)
* Have students think of more words that they might see to show positive and negative integers.
EQ: What are Integers?

7. EQ: What are Integers? Examples
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Examples
Write an integer for the following situations.
1. The Dead Sea is 1,312 feet below sea level.
-1,312 feet
2. Cecilia lost 5 pounds.
-5 pounds
3. The quarterback gained 6 yards on the play.
+ 6 yards
4. A helicopter rises 75 feet in the air.
+ 75 feet
Construct Meaning:
Go through the examples. Prompt students in the beginning to get the answers you are looking for. Say things like: Would you write 1,312 as a positive or a negative integer?
Ask students to tell which word gave them a hint that they needed to use positive or negative.
As you work your way through examples, students will need less support.
EQ: What are Integers?

8. EQ: What are Integers? Comparing Integers Use a number line
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Comparing Integers
Use a number line
Numbers get smaller
Numbers get bigger
Construct Models:
Students need to understand that as you move right on the number line, integers get bigger, and as you move left on the number line numbers get smaller.
EQ: What are Integers?

9. Integers on a number line
Positive and negative integers can be shown on a number line. –8 –3
Negative integers
Positive integers
We can use the number line to compare integers.
Discuss what we mean when we use the terms ‘greater than’ and ‘less than’ with negative numbers. We say that –3 is ‘greater than’ –8 because it is further along the line in the positive direction.
For example,
–3 > –8
–3 ‘is greater than’ –8

10. Ordering negative numbers
We can also use a number line to help us write integers in order.
Graph the integers –2, 8, 2, –6, –9 and 5 in order from smallest to largest.
Look at the position of the integers on the number line: –9 –6 –2 2 5 8
Together, order the numbers on the number line.
So, the integers in order are:
–9, –6, –2, 2, 5, and 8

11. EQ: What are Integers? Examples
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Examples
Graph the following integers on the number line.
1. + 9
2. -7
3. 3
Construct Models:
Show students how to graph integers on a number line.
EQ: What are Integers?

12. Temperature Exercise A10 9 8 7 r
1) Copy and complete. Use the 6 e m 5 r 4 a
word 'Warmer' or 'Colder' W 3 2 1
a) 8oC is ________ than 1oC -1
b) –10oC is ________ than 5oC -2 r -3 e -4 d
c) -3oC is _________ than 0oC l o -5 C -6
d) -7oC is _________ than -12oC -7 -8 =9
-10

13. EQ: What are Integers? Its Way too Cold!!!! Think about it!
Would you rather it be -5 degrees or -20 degrees?
Which one is colder?
Which one is a smaller number?
Store:
Students need to be careful when working with integers. Bigger negatives really mean smaller numbers. Have them think about a number line or a thermometer when working with negatives. I would rather is be -5 degrees then -20 degrees because -20 is way smaller temperatures.
EQ: What are Integers?

14. BUT EQ: What are Integers? Bigger or Smaller?
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Bigger or Smaller?
Integers can get tricky so watch out!
A bigger positive = bigger number
BUT
A bigger negative = smaller number
Think of the number line for help!
Store:
Students need to be careful when working with integers. Bigger negatives really mean smaller numbers. Have them think about a number line or a thermometer when working with negatives. I would rather is be -5 degrees then -20 degrees because -20 is way smaller temperatures.
EQ: What are Integers?

15. EQ: What are Integers? Examples
Please Copy
Examples
Use <, >, or = to compare the following integers.
1. + 3; -1
+3 > -1
2. -8; -4
-8 < -4
3. 0; -2
0 > - 2
EQ: What are Integers?

16. Practice on Discovery Education
Think about what you have learned about integers and comparing integers
Then, logon to Discovery Education for more practice
Progress Zone
PZHB953762
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