Sunday, September 6, 2009

Thursday

Sixth Grade

Lesson 14 - The Number Line and Negative Numbers. Remember, if you have a smaller number minus a larger number, the answer will be negative. Think about the number line. When you subtract, you move to the left on the number line. If you move to left and pass zero, you are then in negative numbers. For instance, 4-9 means that you start at 4 and move to the left 9 places. You'd land at -5.

Seventh Grade

Vocabulary - Cards are due Tuesday and the unit is due Wednesday! Don't wait until the last minute to finish the unit!

Grammar - DWS at the bottom of page 288. You are doing the DWS with the letter! Don't forget the words that should be capitalized.

Math - Lesson 1-10. Order of Operations. PEMDAS - Parenthesis, exponents, (multiplication and division), (addition and subtraction)

Don't forget to follow the correct order!

If you had this:

5 x (-3 x 2) - [4 + (6÷2)]

You would do what is in the brackets first - and inside the brackets, you have to do the 6 divided by 2. So you would have 4 +3 inside the brackets, which is 7. Now, you simplify the (-3x2) to get (-6). Now you multiply that by 5. You are left with -30 - 7, which is the same as -30 + -7. Add and keep the same sign: -37.

If you have a division problem before a multiplication, do it first:

6÷3x2 means you divide 6 by 3 first and then multiply by 2. The answer would be 4.

8th Grade

Exponents Worksheet

The rule is when you are multiplying and the variable is the same, you ADD the exponents. When you are dividing, you SUBTRACT the exponents.

Here, you would multiply the constant numbers 3 times 4. Then, you combine the two x's and the two y's by ADDING the exponents. Think about this:
AND



So, you just add the exponents together:


The final answer is:




One other problem would involve division:


Here, you would divide the constant numbers, 42 divided by 6 = 7

Then, you subtract the exponents of the same variables:


I hope everyone is having a safe and happy holiday!

See you on Tuesday,

Mrs. Swickey