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Monday, February 27, 2017

Homework Update

Hello all! As stated in class today, you will have a word problem or two every night for homework. (Effort grade) We will review the problem in class the next day. A similar problem will appear on a drill sometime that week. Please be sure to record the problem correctly in class when it is assigned.

Thursday, February 23, 2017

Integer Practice

IXL Module for Integer Operations Practice

6th grade Math - 0.10 (covers all operations)

Wednesday, February 15, 2017

Quiz Tomorrow!

Please study all your integer rules for addition and subtraction - your quiz is tomorrow. Remember:

When adding two negatives, just add like normal and keep the sign.

When adding numbers with two different signs, do "integer wars."

When subtracting, use the KFC method to turn the problem into an addition problem, and then follow the corresponding procedure above.

Friday, February 10, 2017

Subtracting Integers

Scared of subtraction involving negative integers? Don't be - remember, it's just addition in disguise!

The rule for subtraction is:

Add the OpPoSiTe!


Who likes fried chicken? It's one of my all-time favorites. :)

Img: thebittenword.com

So... what does fried chicken have to do with subtracting integers? Check out this cool chart from passyworldofmathematics.com:


Then, solve your problem as an addition problem. Here are a few examples:

-5 - 3 = ?
-5 + (-3) = -8  ---> Both numbers are the same sign, so we can add like normal and keep the sign.

7 - (-2) = ?
7 + 2 = 9   ---> Again, both numbers are the same sign, so we can add like normal and keep the sign.

4 - 8 = ?
+ (-8) = ?  ---> Now we've got addition with two different signs, so remember to use your absolute values!
The absolute values are 4 and 8. The difference between 4 and 8 is 4. Now, is it negative or positive? Look at the original number that had the greatest absolute value: -8. Since it's negative, we know the answer is -4.

If you are self-checking subtraction of integers tonight, here are the answers to the Quick Checks from 1-6 (pgs. 30 & 31):

1) a. -5
    b. -1
    c. -3

2) a. -4
    b. -6
    c. 5

3) a. 35
    b. -106
    c. -46

HaPpY SuBtRaCtInG!

Thursday, February 2, 2017

Study Guide

Greetings, Mathlings! Here's a very quick, to-the-point study guide for your assessment on Tuesday. The test will cover all fractions operations. Some quick rules to remember:

Adding fractions:
- Make sure the fractions have like denominators before you add. This can be done by finding the LCD or  by using the butterfly method. 
- Once the fractions have the same denominator, add the numerators and keep the denominator the same. Then, simplify if necessary. 
- If one of the numbers is a mixed number, add the whole numbers separately from the fractions, and then combine. 

Subtracting fractions:
- Again, make sure the fractions have like denominators before you subtract This can be done by finding the LCD or  by using the butterfly method. 
- Once the fractions have the same denominator, subtract the numerators and keep the denominator the same. Then, simplify if necessary. 
- If one of the numbers is a mixed number, subtract the whole numbers separately from the fractions, and then combine. 

Multiplying fractions:
- Multiply straight across - the numerators and the denominators. 
- You may simplify before you multiply OR after. 
- If one of the numbers is a mixed number, first convert it to an improper fraction before you multiply. 

Dividing fractions:
- Keep, flip, change:
1. Keep the first fraction the same. 
2. Flip the operation to multiplication instead of division. 
3. Change the second fraction to its reciprocal. 
- After KFC, use the method for multiplication.