Monday, November 16, 2009

Monday, November 16th

Sixth Grade

Lesson 45 - Writing Decimals in expanded notation and other kinds of multiplication. For the decimals in expanded notation, you will be using fractions for the numbers in decimal places. For example, 3.045 would be (3x1) + (4x 1/100) + (5 x 1/1000). The 4 is in the hundredth place so you multiply by 1/100. The 5 was in the thousandth place so you multiply by 1/1000.

The other kinds of multiplication are:

  • When a multiplication dot is used between the number
  • When a number and letter (or several letters) are stuck together. 3w, wl, bc, lwh, etc. These all mean to multiply the things stuck together.
  • When parentheses are used: 3(5), (4)(8).
Seventh Grade

Spelling Unit 14 - First two pages.

Literature - Read chapter 19 of Treasure Island. The class took a quiz over literary elements and how they are used in the book.

Grammar - Using apostrophes. Ex. A & B. on page 352-354

Math - We discussed lesson 3-1 and the class turned it in. We did not have time for a new lesson. We will start one tomorrow!

Eighth Grade

Lesson 4-12 Absolute Value Equations

I promised you examples, so here you go! Remember the steps.

Step 1. ISOLATE THE ABSOLUTE VALUE ON ONE SIDE. (If you don't do this first, you will not get the correct answer.)

Step 2. Write what is inside the absolute value signs equal to both the positive and negative of whatever number is on the right side. You will have TWO equations.

Step 3. Solve both equations. You will have TWO answers.

Detailed explanation of the following problem is below.



First, you have to get the absolute value by itself. To do this, get rid of whatever is NOT in the absolute value sign, but is on the same side. In this case, you have to get rid of the -4 by adding 4 to both sides. Now you have the absolute value all alone on the left side and 12 on the right side.

Second, you set what is inside the absolute value equal to both +12 and -12. At this point, you don't use the absolute value lines anymore and you have the two equations:

b + 3 = 12 b + 3 = -12

Third, solve each of these equations as you already know how. You get TWO answers because there are two different numbers that would work for b in the above example.

Here's another example:
In this example, the first step is to get rid of the +4 by subtracting 4 from both sides. This gets the absolute value all alone on the left side. Now you can write what is inside absolute value (the a/10) equal to both +16 and -16. You will have two equations to solve now. You will get two answers again.

For the first several problems, you won't have to do step 1 because the absolute value is already all alone.

The assignment is #2-20 ALL. You will get two points for each equation.

See you tomorrow!
Mrs. Swickey