Integer Comparison and Operations

Lesson Objective:

Students will be able to compare integers using the different integer rules.

Student-Facing Learning Target:

I can compare integers using the integer rules.

Vocabulary:

1.) [b]Integer:[/b] the set of positive and negative numbers[br]2.) [b]Inequality:[/b] compares two amounts[br]3.) [b]Inequality Symbols:[/b] > means greater than[br] < means less than[br] [u]>[/u] means greater than or equal to[br] [u]<[/u] means less than or equal to[br] = mean equal to[br]4.) [b]Addition and Subtraction Rules of Integers:[/b] when two integers have the same sign, you add them together and then keep the sign; when two integers have different signs, you subtract them and keep the sign of the greater number[br]5.) [b]Multiplication and Division Rules of Integers: [/b]when two integers have the same sign, the answer is positive when two integers have opposite signs, the answer is negative

Do Now:

1. Show on the applet what 3 + 4 looks like.[br]2. Show on the applet what 7-2 looks like.[br]3. Show on the applet what 2- 7 looks like.

Part One: Compare Integers

When we compare integers, we use inequality symbols to determine which number is larger than the other.

1. Do you have more money in your bank account when you have $1 or -$100? Write an inequality to compare.

2. Do you have more money if you bank account says -$1 or if it says -$100? Write an inequality to compare.

Exercise 1:

Exercise 2:

Part Two: Add and Subtract Integers

1. The temperature outside when Denise went to bed was 2 degrees. Overnight, the temperature dropped 5 degrees. What is the temperature in the morning?

2. The temperature outside when Denise went to bed was -2 degrees. Overnight, the temperature dropped 5 degrees. What is the temperature in the morning?

3. The temperature outside when Denise went to bed was -2 degrees. Overnight, the temperature rises 5 degrees. What is the temperature in the morning?

Find the sum or difference of the integers below:

1. 9 - 11 =

2. -5 + (-5) =

3. -17 + 17 =

4. If your account balance is -$125, what does this mean?

Exercise 3:

Part Three: Multiply Integers

Part Four: Divide Integers

Part Five: Subtracting a Negative

When you subtract a negative, it is the same thing as [b]adding[/b] a positive.[br][br]Example:[br] 3 - (-4) = 3 + 4 = 7