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/
*Please note that these are the main concepts that will be included on your test, but your test will also include word problems which will require you to make a plan, use the concepts and solve. Just remember, when solving a word problem, to find out what you know - what you NEED to know - and to think about how you can use what you already know to solve your problem.*
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!
Friday, September 25, 2015
Thursday, September 17, 2015
Homework 9/17
To find the speed of an airplane, use the expression d/t ("d divided by t"), where d represents distance and t represents time. Find the speed s of a plane that travels 3,636 miles in 9 hours.
Wednesday, September 16, 2015
Homework 9/16
Tuesday, September 15, 2015
Homework 9/15
Hey guys! Happy Tuesday! Please read the following post to prepare for class tomorrow.
We will be talking about the Order of Operations on Wednesday. Many of you are already familiar with this, so it may be a review for some of you, but that's okay! Fun, random fact: My favorite planet is Neptune.
So... what do I mean when I say "order of operations???" I'm talking about the order in which we solve a math problem. "Operations" refers to the math operations we use, such as addition, subtraction, multiplication, etc. There are very specific rules we must follow in order to arrive at the correct answer, and this order of operations should be used whenever you do math - not just when a problem says "Use the order of operations to solve." :) Another fun fact: Christmas lights make me happy.
We use the acronym "PEMDAS" to remind us of the order of operations:
from: coolmath.com
**Notice that MD and AS are grouped together! We'll talk about why tomorrow!**
A great way to remember the order of operations is to remember "Please Excuse My Dear Aunt Sally" - the acronym fits this phrase. We're also going to talk a little bit about Aunt Sally tomorrow ;) Final fun fact: My TWO favorite movies are "It's a Wonderful Life" and "Interstellar."
Okay. Now that you've read a little preview for tomorrow's lesson, prepare for the drill by making sure you've read this post in its entirety and have found the three facts about Ms. J.!
We will be talking about the Order of Operations on Wednesday. Many of you are already familiar with this, so it may be a review for some of you, but that's okay! Fun, random fact: My favorite planet is Neptune.
So... what do I mean when I say "order of operations???" I'm talking about the order in which we solve a math problem. "Operations" refers to the math operations we use, such as addition, subtraction, multiplication, etc. There are very specific rules we must follow in order to arrive at the correct answer, and this order of operations should be used whenever you do math - not just when a problem says "Use the order of operations to solve." :) Another fun fact: Christmas lights make me happy.
We use the acronym "PEMDAS" to remind us of the order of operations:
from: coolmath.com
**Notice that MD and AS are grouped together! We'll talk about why tomorrow!**
A great way to remember the order of operations is to remember "Please Excuse My Dear Aunt Sally" - the acronym fits this phrase. We're also going to talk a little bit about Aunt Sally tomorrow ;) Final fun fact: My TWO favorite movies are "It's a Wonderful Life" and "Interstellar."
Okay. Now that you've read a little preview for tomorrow's lesson, prepare for the drill by making sure you've read this post in its entirety and have found the three facts about Ms. J.!
Friday, September 11, 2015
Thursday, September 10, 2015
Homework for Thursday, 9/10
Hello, Mathlings! Here's tonight's homework. You may have completed some or all of this in class, but all the questions assigned are posted below. Please complete any you were not able to complete in class.
From pg. 16, #s 31 - 41
Find the prime factorization of each:
31) 24
32) 18
33) 40
34) 75
35) 27
36) 32
37) 49
38) 25
39) 42
40) 104
41) 17
41) 97
From pg. 16, #s 31 - 41
Find the prime factorization of each:
31) 24
32) 18
33) 40
34) 75
35) 27
36) 32
37) 49
38) 25
39) 42
40) 104
41) 17
41) 97
Monday, September 7, 2015
Divisibility Rules for 7 and 8
Hello friends! We've talked about divisibility rules for 2, 3, 4, 5, 6, 9, and 10; let's talk about 7 and 8, which may seem a little more complicated, but are easy to deal with once you get used to them. :)
In order to see if a number is divisible by 8, you only must check to see whether the last three digits of the number are divisible by 8. If they are, then the entire number is divisible by 8 too.
Example 1: Is the number 8347475537272 divisible by 8?
Answer 1: Yes, because the last 3 digits, 272, are divisible by 8.
Example 2: Is the number 314159265358979323846divisible by 8?
Answer 2: No, because the last 3 digits, 846, are not divisible by 8.
In order to see if a number is divisible by 7, you must/;
1. Take the last digit of the number you’re testing and double it.
2. Then, subtract this number from the rest of the remaining digits.
*If this new number is either 0 or a number that’s divisible by 7, then then original number is divisible by seven.
Example 1: Is the number 364 divisible by 7?
Answer 1: Yes: Double the 4 to get 8. Subtract 8 from 36 to get 28. Since 28 is divisible by 7, we can now say for certain that 364 is also divisible by 7.
Example 2: Is the number 8256 divisible by 7?
Answer 2: No, Double 6 to get 12. Subtract 12 from 825 to get 813. 813 is slightly too large to tell whether it is divisible by 7 so we must repeat the process. Double 3 to get 6. Subtract 6 from 81 to get 75. Since 75 is not divisible by 7, neither is 813 or 8256. Therefore, 8256 is not divisible by 7.
In order to see if a number is divisible by 8, you only must check to see whether the last three digits of the number are divisible by 8. If they are, then the entire number is divisible by 8 too.
Example 1: Is the number 8347475537272 divisible by 8?
Answer 1: Yes, because the last 3 digits, 272, are divisible by 8.
Example 2: Is the number 314159265358979323846divisible by 8?
Answer 2: No, because the last 3 digits, 846, are not divisible by 8.
In order to see if a number is divisible by 7, you must/;
1. Take the last digit of the number you’re testing and double it.
2. Then, subtract this number from the rest of the remaining digits.
*If this new number is either 0 or a number that’s divisible by 7, then then original number is divisible by seven.
Example 1: Is the number 364 divisible by 7?
Answer 1: Yes: Double the 4 to get 8. Subtract 8 from 36 to get 28. Since 28 is divisible by 7, we can now say for certain that 364 is also divisible by 7.
Example 2: Is the number 8256 divisible by 7?
Answer 2: No, Double 6 to get 12. Subtract 12 from 825 to get 813. 813 is slightly too large to tell whether it is divisible by 7 so we must repeat the process. Double 3 to get 6. Subtract 6 from 81 to get 75. Since 75 is not divisible by 7, neither is 813 or 8256. Therefore, 8256 is not divisible by 7.
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