816 Math Blog

9. The distance to Grandma's house is 4/5 of the distance to Uncle Glen's house. If Uncle Glen's house is 3 1/2 hours away, how long will it take to get to Grandma's house if you travel at the same speed?


It takes 13 hours to get to Grandma's house.

10. It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days? Show your thinking.

It takes 3 litres of gas thats used in 5 days.

11. Owen is 2 1/4 times as old as Robin. When Robin celebrates his 8th brithday, how old will Owen be?

Owen would be 18 years old when Robin turn 8.

12. The karate club is arranging a grading for its member. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need the gym in order to process 3 groups of 4 candidates each?

The club will need 2 4/5 of the gym in order to process 3 groups of 4 candidates.

Christian Odulio
Tracey Sayas

Tracey's Questions

a² + b² = c²
you have to replace the letters into numbers
8² + b² = 10²
now we have to figure out what b equals
b²=(10x10)-(8x8)
b²=100-64
b²=36
we now have to find the square root of 36
b=6
you think we are finished but we aren't because there was two triangles. We now have to add 6+6. It equals 12 so b equals 12. Also don't forget the meter value.
b=12mm
(The pictures above were taken from Mr. H's blog)

Today in class, Mr.Harbeck handed back our tests and we had to fix our mistakes. Another task we had to do was to finish pages 39, 40, 41 in our purple booklet.

But, I am going to show you four mistakes I made. On question 5, the mistake I did wrong was I divided by three instead of multiplying by 3. But here I have fixed my mistake. I guess if i verified my answer I would've got it right.


Another question I did wrong was question 15. I forgot that when there are more than one variables you add them together, and you put the amount infront of the variable. Again, I should've verified my answer.


Another question that I got wrong was question 10. I forgot to change the signs into positive, because when we are subtracting integers it does not exist. Also, again I should've verified my answer.


For the test on Friday, we all should get higher marks then our mark on Tuesday, because when we get an answer we all have to remember to VERIFY ! I guarantee that we will get most of our questions right if we verify. If I have anything wrong about my post, please comment so that I can make it better ! Thank you (:

Pay it Forward

Before winter break all the grade 8 classes watched a movie. It was about a kid who made a difference to many different people. So, we were off to enjoy our two weeks without school, our project was to do something kind for someone without getting payed or anything. There was many different things we could do to help others.

For my pay it forward project I volunteered to help babysit my niece. During the break my whole family was busy shopping, preparing a get together, parties, and etc. I helped babysit more than once, so here are some pictures.

Chapter 1.
Poems
Adding Integers - Picture


Subtracting Integers - Haiku
Add the opposite
Never subtract integers
It'll be easy

Partitive Division -Free Verse
I bought 18 pieces of candy
It was for me and my friend Mandy
Mandy said "let's use the partitive division strategy"
And I said " Okay, teach me how, so I can see and maybe it'll help me"
She put one in her pile and one in mine
And once she finished we each got nine

Quotitive Division - Tanka
How many can fit ?
Pick two different numbers
Let's use six and three
Three can go into six twice
So the answer will be two

Pratt's Law - Free Verse
Pratt's law is very easy
All we have to remember is
if we have an even amount of positive
the answer will turn out positive
But, if we have an odd amount of negative
the answer will stay negative
Use it on a test and you'll do your very best !

Chapter 2.
Combining like terms and the Distributive Property
Script
Jaylen: Hey! What are you doing ?
Lyn: Hi! Im just thinking about Combining like terms.
Jaylen: What is Combining like terms ?
Lyn: It is just math. An example is n+3 minus 5n+12
Jaylen: Wow that seems easy, the answer to that question is negative 6n+15
Lyn: How did you get that answer ? My answer was negative 4n + 15
Jaylen: First we have to look at the question and change all the minus signs into plus signs. Then we look for all the terms that are in the question. There are only two terms. 5n and n . 5n + n equals 6n. Don't forget to do the rest of the question. 3 plus 12 equals fifteen. So the answer is 6n plus 15.How did you get negative 4n plus 15 ?
Lyn: First I thought of all the terms. There is only two terms , n and negative 5n. You have to remember when you are adding terms wether there positive or negative the same rule applies. When you add a positive with a negative the zero pairs cancel each other out. You have n and negative 5n you add them together and you get negative 4n. The rest of the question is 12 plus 3 and that equals 15. So, my answer is negative 4n plus 15.
Jaylen: But you have to remember that we aren't always adding negative and positive terms. Just remember to change the negative signs into positive signs. It will help you a lot . 5n+n+12+3= 6n + 15
Lyn: Oh man, your right. Your strategy is really good, and your right it can help.
Jaylen: Don't worry everyone makes mistakes. Let's try another question. How about 2 + 4(3n+8).
Lyn: Okay let me think about this, and use your strategy. Okay the answer is12n+34
Jaylen: Really that's weird I got 12n+10 explain how you got your answer.
Lyn: first i multiplied 4 and 3n. I got 12n. Then i multiplied 4 and 8 and I got 32. Also, you have to add thirty-two and two and you get 34, so the answer is 12n+34
Jaylen: Oh yeah ! I forgot to multiply 4 and 8. My mistake, your answer it correct.
Lyn: We have to focus on our thinking so that we could be both great people at math.
Jaylen: this was a nice discussion, let's do it again someother time. Bye !
Lyn: Bye !

Here's my movie.


Chapter 3.
Additive Type

Subtractive Type

Today in class, we made a new fold able. They title of the new fold able was called "My Algebra Words"


On the outside there are three squares, the first box, was an example on algebraic expressions. An Example of an algebraic equation is n+6=8. N=Variable. A variables are letters that represent numbers.

The second heading in the second box was Adding Words. Adding words are ; plus, add, increase, sum etc.

The third heading in the third box was Subtracting Words. Subtracting words are ; take away, minus, less than, reduce, etc.

When you open the fold able the fourth heading in fourth box is fourth box is Multiplying words. Multiplying Words are ; times, of, multiplying, etc.

The fifth heading in the fifth box is Dividing Words. Dividing words are ; divided, goes into, a certain number of parts, etc.

The last heading in the last box is Words that mean equal. Words that mean equal are ; equal, equal to, is, results in, gives you, makes, etc.

The homework for to night was the first page on our new booklets. We had to do all of letter A 1-10. We had to write an English phrase for the following mathematical phrases. The first question was 3x. The English phrase for 3x is three times a number.

That's what we pretty much did in class, but remember to do your poems! If you need help with your poems read Kyle's scribe post, it can really help you for those who have trouble. Please leave comments, and help me make my scribe post better! Thanks (:

Dora and the Mysterious Integers

Another adventure with Dora the Explorer : A loud scream awoken Dora. She ran downstairs looking for the loud scream. There she saw her mother disappointed. Dora asked her mother, what was wrong, and what was the problem. Her mother explained, she misplaced the diamond ring. She said that she hid it in the jewelery box, but when she opened it was empty, nothing but a piece of paper that had numbers on it. The piece of paper had written on it. It said " I have your diamond ring, and if you want it follow this map." The map had alot of different routes. They looked at the map, and saw THE RPS circled. They wonderd what RPS standed for. Dora said, lets not waste our time, and start tracking who ever stole the ring. Dora called Boots, and they were on there way. The first route said, (+12)+(-3).

(+12)+(-3)=? Help us. If were dealing with positive and negative numbers, the positives and the negatives cancel each other out, meaning they are zeropairs ! Lets use our imaginations and lets use Algebraic tiles.



Dora and Boots, took route 9. As they were walking, it started to rain. So, dora looked in her backpack if she had an umbrella handy. There was a tooth brush, 20 dollars, flash light, calculator, scrap paper, and a penicl. But no umbrella. As they walked, the rain came down harder. 5-10 mintues later they saw Chinn's Convienent store, the one they saw on the map. The map was wet, they couldn't use it anymore, it was useless. But at the convienent store, they sold maps. Dora asked the cashier if they sold any maps that led to The RPS. Chinn said yes there was, it was 3 dollars.

(+20)+(-3)=? Dora needed to think, what was 20 - 3 ? As, she thought, she used the strategy that Mr. Harbeck taught her. The " i have , i owe " strategy.


Dora and Boots bought the map, and they kept heading the same route, until they got to Pobre Mountain. Dora and Boots were very tired. They had 17 dollars left ! They could've bought some water, and some food. But as they were walking, they saw Bui's house. They walked up her sidewalk, and knocked on the door. Bui open and was surprised. Bui, loved it when Dora and Boots visited. Dora asked if they could have a drink of water, and a little snack they could eat. Bui, gave them glasses of water, and some crackers. As they were chatting, Dora explained how the ring was lost. Bui, was terrifyed with the terrible problem. Dora said, it wasnt to late yet, there is still hope in finding the diamond ring. Dora thanked Bui for the water and the snack. Dora and Boots headed out the door and continued to walk. They finally reached Pobre Mountain. They were on top of the mountain. There was two paths, but Dora didn't know where they were headed to, so she checked the map. The map showed which path to take to, but she need help, the answer was to hard.

It was (+5)+(+2). But the question didnt seem really hard. Boots came up with the answer, he used his mental math skills.


They were on the last path to get to the RPS. They kept walking and walking. As they were walking, they passed by a big large bush, and in that bush, they knew that someone was hiding. Dora was curious, so she went over to look. OH NO ! it was swipper. Swipper wants to steal the map, say " Swipper no swipping, Swipper no swipping." Yay, you got swipper to leave ! If he stole the map, we would've been lost. 5-10 minutes later, they saw the RPS. They walked in, and it was dark and empty, there was nobody there. Dora walked up to the front desk and found a note. It said, " if you want your diamond, follow these routes, and you will find me."


Dora and boots were scared, they didn't want to keep looking. But they were people who gave up, there not gonna settle until they find the ring. The first route said (+478)+(-523) there was no way they could figure it out.

TO BE CONTINUED ...

Today in class, Mr. Harbeck got us to write our names on a piece of paper. He put all the pieces in a bucket, and started pulling out random names, it was time for a new seating plan.

Either than that, we are finially done with probability. But that doesn't mean that we wont do any probability questions, we will still have some questions about probability on tests.

Anyways, We did a little game on the smart board. Hangman. The mystery word was INTEGERS. Our new topic in math is integers.

What are Integers ?
Postive integers
- can be written without a positive sign(+)
eg. +1 or 3
(+1) (+3)

Negative integers
- always written with a negative sign(-)
eg. -1 -3
(-1) (-3)
Mr. Harbeck said that the brackets are training wheels.

Adding Integers
think about money ($)


EG. (+5)+(+3)=8
I have 5 and I have 3

(-6)+(+10)=4

Mean
First arrange your set of data from least to greatest (ascending order)
Add all of the numbers (set of data)
Once you've found the sum , divide the number by how much numbers there are


Median
First arrange your set of data from least to greatest (ascending order)
Find the middle number, in the set of data
If there is two middle numbers add them together and divide by two


Mode
First arrange your set of data from least to greatest (ascending order)
Find the number that comes up more than once
If there is no number that repeats there is no mode


Range
First arrange your set of data from least to greatest (ascending order)
Find the lowest number and the greatest number, and subtract them from each other


Here is my mmm video :