Sixth Grade
Lesson 32 - Expanded Notation and Elapsed Time. For expanded notation, remember to write each number in parenthesis multiplied by it's place value. For example, 3,503 would be (3x1,000) + (5x100) + (3x1). That's it! Since there is a zero in the tens place, you don't have a parenthesis for that place.
For elapsed time, if you are asked to find how long it has been from one time to another, you will subtract that earlier time from the later time. (Put the later time on top and subtract. If you have to borrow from the hour, remember to add 60 to the minutes since 1 hour = 60 minutes.) If you are asked to decide what time it is after so many hours and minutes, you are adding to the starting time. When you add, remember that if your minutes are more than 60, you have to take away 60 minutes and add ONE hour to the hours column. Then, make sure the hours is written properly. If your number is greater than 12, subtract 12 from it and change the a.m. to p.m. or p.m. to a.m.
Seventh Grade
Spelling - 2nd two pages.
Vocabulary - Remember, the unit is due next Tuesday with the cards due on Monday.
Literature - Today, we began discussing "Treasure Island". We read through a list of nautical terms and I gave the class a list of 7 vocabulary words to define. Then, we started reading chapter 1. For homework, define the words and read the rest of chapter 1 and chapter 2.
Math - We spent the class time today working on the math practice test. We will continue to review tomorrow and the test over chapter 2 will be on Thursday.
8th Grade
Lesson 2-9
Pythagorean Theorem. Remember, this works for all RIGHT triangles. a and b are the "legs" of the right triangle - the two sides that form the right angle. c is the hypotenuse - the side that is the diagonal and is opposite the right angle.
On the front side, you are given values for two of the three letters. You are supposed to find the third letter. If you are given the values for a and b, just square them both, add that together, and then find the square root of that number. Remember, I do NOT want rounded answers! If it is not a perfect square, then simplify it as much as possible.Here are a few examples:
If a = 3, b = 6, and c = ?, you would plug in the 3 and 6 and square both of them. Add that together to get 45. Now, find the square root of both sides which leaves you with just c on the right side. Since 45 isn't a perfect square, you have to write it as a product of prime factors. (use the factor tree) Now, since there are two 3's, you can cross them off and put ONE 3 on the outside of the square root sign. Since the 5 is by itself, it has to stay inside. That's the answer!
Most of the time, your answer will be a perfect square though. So after adding, if you have 36, then the answer would be 6.
My blogging program won't let me upload another picture! If you are missing a or b, you will still plug in the numbers you do know. After squaring the numbers, subtract the number on the left side from the number on the right. (You will always subtract the number that you plugged in for a or b from the number that you plugged in for c after you've squared them both.) Then, you find the square root of that number.
To find out if three numbers for a pythagorean triple or are the lengths of the sides of a right triangle, try to do the pythagorean theorem with them. If it works out then the answer is YES. If it doesn't work out, then the answer is NO. You will be given all three values for a, b, and c. Square all three and add the square of a and b, if that equals the square of c, then it's yes!
For the word problems, remember to draw a picture. Once you've done that, you should be able to tell which measurement represents the diagonal. That is always the "c" in the theorem. If you don't know the diagonal, then you know the two legs, a and b.
See you tomorrow!
Mrs. Swickey
