Wednesday, September 2, 2009

Wednesday

I'm posting a little later because I wrote out several examples for 7th and 8th grade math. I hope they help!

6th Grade

Lesson 13 - More word problems. Larger-Smaller Difference. This is where you a word problem where it's asking you what the difference is between two numbers. For example: There are 68 cats and 24 dogs at the shelter. How many more cats are there? That means you'd just subtract the larger number minus the smaller number: 68-24=44 more cats

Later-Earlier difference problems involve time. Remember to think about your answer! Does it make sense? For example: Thomas Jefferson was born in 1743 and died in 1826. How old was he when he died? Take the later date and subtract the earlier date: 1826-1743=83 years old. If it is asking about a person's age and you get an answer like 212 years, you've most likely made a mistake! Think about the answer.

7th Grade

Spelling - Remember, the test is tomorrow because we are out of school on Friday! Finish the unit except for the Vocabulary Connections pages and be sure to do the Challenge page. Then STUDY!

Grammar - Capitalizing titles of things, school courses, and capitalizing in letters: pp. 286-288 Exercise A, B, and DWS. Also do the Exercise on page 288. You do not have to do the DWS that has you write a letter. We will do that tomorrow!

Math - Lesson 1-9 #2-20 ALL and #22-34 even. Remember, if it is asking for exponential form, write the answer with exponents: 3x3x3x3 would be 3 to the fourth power. (-3)(-3)(-3) would be (-3) to the third power. Remember, if the number being repeated is negative each time, then you MUST put the number in parenthesis. If it isn't, like this: -(8x8x8x8x8) then you would write -(8) to the fifth power or just -8 to the fifth power, but you would NOT include the negative in the parenthesis because the number being multiplied 5 times is just 8, not -8.

For evaluating, you are writing the number in standard form. For example, -3 to the third power would mean: -(3x3x3) because only the 3 is to the third power, not the negative. The answer would be -27. If it was (-3) to the fourth power, then you have (-3)(-3)(-3)(-3) and you would get 81. (It isn't negative because the number being multiplied 4 times is (-3). )

For simplifying using the law of exponents, if you have a problem like this:

Because the bases are the same (the 13), you would subtract 8-2 and get 13 to the sixth power. For a problem like this:



The bases are the same (the 14), so just ADD the exponents to get 14 to the 14th power.


8th Grade

Lesson 1-10 #2-56 evens.

I have drawn several examples for you. First is a decimal divided by a decimal:


Now, you also might have a decimal divided by a decimal written like this:
Then, you will have dividing fractions:


Complex fractions are just another way to write a division problem. You would read it from top to bottom. So the following problem would be "negative three eighths divided by two and one fourth". The fraction bar just means divide.

On the second page, you have more complicated problems. Just work inside the parenthesis first and remember the rules for signed numbers for all operations. This one has an addition problem as well as division.


See you tomorrow!
Mrs. Swickey