Introducing Integers Copyright 2015 Scott Storla If all
- Slides: 82
Introducing Integers Copyright 2015 Scott Storla
If all we have are the whole numbers, {0, 1, 2, 3…}, we can find this difference 5 – 2 = 3 but we can’t find this difference 2 – 5 = ? To find the difference 2 – 5 we need to expand our set of numbers. Copyright 2015 Scott Storla
The Integers Copyright 2015 Scott Storla
Positive Negative Money we have Money we owe Yards gained Yards lost Degrees above 0 Degrees below 0 Floors above ground Floors below ground Above sea level Below sea level Copyright 2015 Scott Storla
The Integers Copyright 2015 Scott Storla
Introducing Integers Copyright 2015 Scott Storla
Absolute Value Copyright 2015 Scott Storla
Positive Negative Money we have Money we owe Yards gained Yards lost Degrees above 0 Degrees below 0 Floors above ground Floors below ground Above sea level Below sea level Copyright 2015 Scott Storla
Integers have two attributes, a “size” (how much, how many) and a sign (positive or negative). For instance $2 has a size of 2 and it’s positive, we have $2. – $2 also has a size of 2 and it’s negative, we owe $2. To discuss the size of a number we use the absolute value operator. Copyright 2015 Scott Storla
Absolute Value Absolute value is both an operator and an implicit grouping symbol. Copyright 2015 Scott Storla
Operations and Operators Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Absolute Value Copyright 2015 Scott Storla
Multiplying and Dividing Integers Copyright 2015 Scott Storla
Copyright 2015 Scott Storla
Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright Scott Storla 2015
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Multiplying and Dividing Integers Copyright 2015 Scott Storla
Adding Integers With Similar Signs Copyright 2015 Scott Storla
Simplify Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright Scott Storla 2015
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Adding Integers With Similar Signs Copyright 2015 Scott Storla
Adding Integers With Different Signs Copyright 2015 Scott Storla
Copyright 2015 Scott Storla
Simplify Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright Scott Storla 2015
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Adding Integers With Different Signs Copyright 2015 Scott Storla
Subtracting Integers Copyright 2015 Scott Storla
Introducing the Procedure Copyright 2015 Scott Storla
Copyright 2015 Scott Storla
Copyright 2015 Scott Storla
Simplify Copyright 2015 Scott Storla
Simplify Copyright 2015 Scott Storla
Simplify Copyright 2015 Scott Storla
Introducing the Procedure Copyright 2015 Scott Storla
Continuing With the Procedure Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Continuing With the Procedure Copyright 2015 Scott Storla
Problems With a Factor of -1 Copyright 2015 Scott Storla
Simplify Copyright 2015 Scott Storla
Simplify Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright Scott Storla 2015
Simplify Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Count the number of operators, discuss the order of the operations and then simplify. Copyright 2015 Scott Storla
Problems With a Factor of -1 Copyright 2015 Scott Storla
See introductory algebra resources Copyright 2015 Scott Storla
Fill in each blank with the appropriate property Copyright 2015 Scott Storla
Fill in each blank with the appropriate property Copyright 2015 Scott Storla
Fill in each blank with the appropriate property Copyright 2015 Scott Storla
Fill in each blank with the appropriate property Copyright 2015 Scott Storla
Integer Automaticity Quiz Copyright 2015 Scott Storla
Simplify Answers Copyright 2015 Scott Storla
Simplify Answers Copyright 2015 Scott Storla
What’s the sign of the result? Copyright 2015 Scott Storla
What’s the sign of the result? Copyright 2015 Scott Storla
What’s the sign of the result? Copyright 2015 Scott Storla
What’s the sign of the result? Copyright 2015 Scott Storla
What’s the sign of the result? Copyright 2015 Scott Storla
What’s the sign of the result? Copyright 2015 Scott Storla
What’s the sign of the result? Copyright 2015 Scott Storla
What’s the sign of the result? Copyright 2015 Scott Storla
Simplify Copyright 2015 Scott Storla
Integers essential questions
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