Chapter 1 Study Guide

HELLLLOOOOOOOOOO friends.

So... what's going to be on your Chapter 1 assessment? I've included a run-down below, categorized by section. Don't forget to use the Glencoe website for self-check quizzes, tutor videos, extra examples, and lots of great studying resources. If it's not already saved in your favorites, here's the link:
http://www.glencoe.com/sec/math/msmath/mac04/course1/self_check_quiz/index.php/

1-1: Basic problem-solving (remember to make a plan before you solve and to check your answer after you solve)

1-2: Divisibility Patterns (look back through your divisibility rules! They are posted on the blog if you've misplaced them)

1-3: Prime Factors
- Remember, to "find the prime factorization" of a number, make a factor tree. Your prime factors at the bottom are the answer.
- Always check your answer by multiplying the factors at the bottom of your tree to make sure you get the number at the top.

Example: Find the prime factorization of 42:

                         42
                     6   x   7
                  2x3    x     7 ---> Answer. Check: Does 2 x 3 x 7 = 42? Yes. The answer is correct. 

1-4: Powers and Exponents
Here are two previous blog posts that review powers and exponents. Be sure to check out the post that includes how to incorporate exponents into prime factorization.
http://tlsmath6.blogspot.com/2012/09/exponents.html
http://tlsmath6.blogspot.com/2012/09/expressing-prime-factorization-with.html

1-5: Everyone's favorite, ORDER OF OPERATIONS!!!!!!! AHHHHHH!!!!!!!!!
Two things I need you to remember about PEMDAS:
1. Multiplication and Division are on the same level and go LEFT to RIGHT
2. Please, please, PLEASE show your work line-by-line. Once you complete an operation, bring EVERYTHING ELSE DOWN exactly as it appears on the next line. This will help you keep track of what you've already done and will keep you from doing things out-of-order.

1-6 and 1-7: Algebra
These were the sections where we had to plug in a value for the variables and then solve the expressions. Then, we used mental math to solve equations.
Examples:

1. If a = 2 and b = 3, evaluate:
2a + 3b.
--- Remember, a number right next to a variable means multiply. Now, plug in the values:
2 x 2 + 3 x 3
---Now, be sure to use order of operations when you solve (multiply first, then add):
4 + 9
= 13

2. Solve the equation mentally: p + 2 = 9.
---Ask yourself, "What plus two would give me nine?"
---We can conclude that p = 7 because 7 + 2 would give us 9.

1-8: Area of Rectangles
Formula is length x width. Don't forget to include units squared.

Don't forget about your practice worksheets over the weekend. I suggest doing 10 problems Friday, 10 Saturday, and 10 Sunday. Study study study and you'll be good to go!

Homework Questions 9/22

Greetings Mathlings,

Here are some selected questions from your classmates. Please use the order of operations - line by line!!!!!!! - to find your answer.

1)    3 x 4 + (10 + 2) ÷ 2

2)    3³ – 7 + (14-13) + 8

3)    5 x 4 + 8  ÷ 2 + 11 + 5

4)    11 x 8 x (4  ÷ 2) + 5 

5)    (3 x 4) x 4  ÷ 4 + 40

Thursday, 9/4

Hey folks! Nice job today with your human factor trees! Here are some pics:

Now, onto exponents. Please read the following info to prepare for class tomorrow. Answer the four questions that appear throughout the reading.

EXPONENTS
(Question 1: Who sits at your table/desk cluster in class?)

Here is some basic info you can refer to when dealing with exponents. Remember, an exponent is that teeny little number floating above and to the right of a number (the base):

(Question 2: What's your favorite kind of pizza?)

This reads "two to the third power." I like to think these “powers” refer to some kind of alien power on a distant planet. (Question 3: What was the last movie you saw?) Aliens are VERY fussy about how their powers are used! :) When you see a number with an exponent like the one above, don't multiply the two numbers together, like this: 2 x 3. Your answer will be incorrect. Instead, the base number is multiplied by itself, and the power tells us how many times. (Question 4: What would you like to be when you grow up?) The problem above would be solved by multiplying two by itself, three times:

2 x 2 x 2 = 8

And voila! The aliens are happy :)