Sixth Grade
Lesson 18 - Finding the average of a group of numbers. Remember, if you are going to find the average, add the numbers up and then divide the answer by how many numbers you added. So, if you want to find the average of 20, 22, 25, and 33, add them up. It equals 100. Then divide by 4 since there were 4 numbers. The average is 25. If you need to find the number halfway between two numbers, just find the average of them. Add the two numbers and divide by 2.
Seventh Grade
Spelling - Unit 5. First two pages. You will be completing the entire unit this week, so make sure you are working on it each night.
Literature - Worksheet for "Ransom of Red Chief". Remember to use complete sentences when writing the conflicts and resolutions. Tomorrow, you will be taking the Selection Test over the story. Remember to be thinking about the essay question! You will write about a character who does not act like what you would think based on stereotypes. You will also write about a character who seems realistic at first, but whose behavior is exaggerated.
Grammar - Abbreviations. pp. 295-297 Exercises A & B and DWS. Follow instructions for exercise A. Write the date and abbreviation on exercise B and follow instructions for DWS.
Math - Lesson 2-1
Writing expressions. Remember, if the wording says "more than" or "less than" the number that is more or less than goes AT THE END. For example, the phrase "two more than a number" would be written in MATH as "n+2". Another example would be, "five less than three times a number". This would be "3n-5". Also, if you have one like this: "twelve times the sum of a number and negative three" you have 12 being multiplied by THE SUM. So you have to show the SUM in parentheses and then the 12 being multiplied by the parentheses. It would look like this: 12(n+ -3). This shows that you have to find the sum first before multiplying by 12. So, if it asks for something multiplied or divided by a SUM or DIFFERENCE, you must show the adding or subtracting in parentheses first.
Part of the problems will have you write it in English from the math symbols. For example:
2n + 5 would be written as "twice a number plus five" or "two times a number increased by five" or "five more than double a number". There will be several correct ways to write it. Just be sure that if something is in parenthesis, you say the sum or difference of the numbers inside. For example: 3(5n-7) would be written as "three times THE DIFFERENCE between five times a number and 7. You are to work all the problems on the front page and evens on the back. (except for the Test Preparation problems at the bottom.)
Eighth Grade
Lesson 1-13. Power of Exponents. Today, we learned how to raise a power to a power. Remember, if an exponent doesn't have ITS OWN number, then you multiply it by other exponents. I will do several examples. In the following problem, everything inside the parenthesis is being raised to the fifth power. That means that you have three to the fifth power too. Since the 5 doesn't have it's own number, but is outside a parenthesis, it is more powerful, so it multiplies by the other exponents. Since the number 3 doesn't have an exponent, you just say three to the fifth power.
In the following example, everything inside the parenthesis is being raised to the negative second power. First, you would multiply all exponents by negative 2. Since the -3 has its own exponent, you will multiply negative 2 times 2 to get -3 to the negative fourth. Notice that the -3 isn't in it's own parenthesis. That means that really only the 3 is being raised to the negative fourth power. The negative sign in front of it isn't. Continue multiplying the exponents to get the second row. Now, since you have two things to a negative power, these will need to be moved to the denominator while you change the exponents to positive exponents. The m to the fourth stays on top because it isn't a negative exponent. The -3 moves and changes to a positive 4 exponent. (the negative in front of the three DOES NOT change.) Once you have all positive exponents, you can then work out any numbers. -3 to the fourth power is -81. The reason it isn't positive is because the negative is NOT included in being multiplied four times. It would look like this: -(3x3x3x3).
There are other kinds of problems in your book, but these basics should give you quite a bit of help. Remember, do NOT leave any negative exponents! Simplify until you have ALL positive exponents! You are working the evens on the front side of the lesson.
See you tomorrow,
Mrs. Swickey
