Tuesday, January 10, 2012

Tuesday, January 10th

Sixth Grade

The class took a quiz today. No homework!

Seventh Grade

Math - % of a Number Worksheet

Remember the proportion that you can set up with each one of these:

% /100 = is/of

If you don't know the percent, put a "p" where the % sign is. The bottom will always be 100 because every percent is out of 100. For the "is" and "of", you are finding that number that is with that word. For example:

What percent of 25 is 5?

p/100 = 5/25

The 5 is the "is" number because it says "is 5". The 25 is the "of" number because it says "of 25". Then solve using proportions. Since we were missing the percent, the answer would be a percent. If you aren't missing the percent, don't put a % sign next to your answer!

this example would be 100 x 5 = 500 divided by 25 = 20 ------ 20%

You can do 10 problems from the half size worksheet for extra credit. Be sure to do all 14 of the problems from the other worksheet.

Geography - We took notes over Chapter 10 Section 3 today. There will be a test on Thursday. Also, there is another country quiz on Friday. Be sure you are prepared for both!


EIGHTH GRADE

Pre-Algebra: Percent, Fraction, Decimal Conversions. You should all be pretty comfortable with these. Email me if you have trouble!

Algebra I: Classifying Polynomials by degree and by number of terms.

Remember, first find the degree of the polynomial by counting the exponents in each term. Whichever term has the highest sum of exponents tells you what degree it is. Here is a recap of the different degrees:

Constant ---- no variables with no exponents. Just a regular number.
Linear ------ no term has exponents that add to more than 1. (1st degree)
Quadratic ---- exponents add up to no more than 2. (2nd degree)
Cubic -------- exponents add up to no more than 3. (3rd degree)
Quartic ------ exponents add up to no more than 4. (4th degree)
Quintic ------ exponents add up to no more than 5. (5th degree)
6 or greater as the sum of exponents means you would say "6th degree" or "7th degree" - whatever the sum of the exponents.

After you find the degree, then count the terms in the polynomial. Remember, terms are separated by + or - signs.

Monomial - One term
Binomial - Two terms
Trinomial - Three terms
Polynomial - 4 or more terms

So, the expression: 2x + 5 + 3y would be a linear trinomial. (There are two terms with one variable with exponents of 1, so it's linear....and there are three terms so it is a trinomial.)

The expression: -5xyz + 2y would be a cubic binomial. (The first term has three variables with exponents of 1 each...so a sum of 3 for the exponents. That makes it cubic. There are just 2 terms, so it is a binomial.)

Email me with questions, if you have any!

See you tomorrow,
Mrs. Swickey