Sixth Grade
Lesson 15 - Equal Groups Stories: Sometimes you will have word problems that use multiplication or division to solve. These are equal groups. For example:
There are 12 classrooms for 6th grade at Hidden Springs Middle School. There are 2526th graders and each classroom has the same number of students. How many students are in each classroom? Remember, you multiply as follows:
number in each group x the number of groups = total in all
Since you only know the number of groups and the total, and the question is asking you for how many students "in each classroom" you don't have the "in each" number.
N x 12 = 252
So, you would divide 252 by 12 = 21
For the label, go back to the question. "How many students..." so your answer is 21 students.
Tomorrow, we will do the practice test and on Thursday you will have Test 2.
Seventh Grade
Spelling - First two pages. You will NOT have the Vocabulary Connections pages this week, but you still must do the Challenge page!
Vocabulary - Unit 2 is due tomorrow! Also, you need to study for the vocab. test.
Literature - We began reading "The Ransom of Red Chief" by O. Henry today. It is a funny story!
Grammar - Tomorrow, there is a test over Chapter 19 - capitalization.
Math - Lesson 1-11. (Thanks for catching my error, Veronica!) Do the entire lesson! The lesson reviews the coordinate plane which the class learned last year. The only new information was in labeling the quadrants. Remember, start with the upper right section of the graph, that is quadrant 1, and go counter-clockwise (to the left). Use your source book for more information!
8th Grade
Today, we continued working with exponents. The assignment is a worksheet focusing on one skill - negative exponents and how to simplify expressions with them.
For example:
What is happening in the above problem is 2 is being raised to the "negative third" power. You do not simplify this by multiplying 2 by -3. You must change the exponent into a positive exponent before simplifying. How you do this, is you find the reciprocal of whatever is being raised to the negative power. Since that is 2, the first step is to change 2 into it's reciprocal, 1/2. The negative exponent moves to the denominator with the number and changes into a positive 3. Now you can simplify. Since 2x2x2=8, the answer is 1/8.If the negative exponent was in the denominator you would move it up to the numerator.
Since the negative exponent is in the denominator, you would do the reciprocal of 1/2 and change it to 2 (moving the 2 and the exponent to the numerator) and change the negative 4 to a positive 4. Now you can simplify. 2x2x2x2=16 so that is your answer! What happened to the 1 in the numerator? It moved to the denominator and 16/1 = 16.Sometimes the problem will involve variables. Remember, you move whatever is being raised to a negative power.
Here, there is a variable with a negative exponent in both the numerator and denominator. Since x to the negative 2 is on top, it moves to the bottom and the exponent changes to a positive 2. The same happens to the y. It moves to the top and it's exponent changes to a positive 3. You can't simplify this any further so that is your answer!Here's another kind:
What happened here is that because the two variables are the same, we add the exponents first. Since -3 + 5 = 2, then your exponent is a positive 2. There is no need to move anything to the denominator.There are other kinds on the worksheet, but do the best you can and ask tomorrow if you have questions!
You are doing #7-34.
See you tomorrow!
Mrs. Swickey
