Angela's Math Parent Quiz Post

Ratio Rate Proportion (My Proportion Post)
Peter runs 200 m in 30s while his sister Eva runs 300 m in 36s.

• Who is the faster runner? Explain how you can tell.
• At the same rate, how far will each runner go in 2 minutes?

  Percent (I don't recall making a Percent Scribepost) 
A bicycle is on sale for 10% off the origional price of $420. when it does not sell, the store reduces the sale price by another 5%.  What is the final price of the bicycle?

Surface Area
Calculate the Surface Area of the net below.

Fractions (My Fraction Scribepost)
Chad likes to eat Honeycomb for breakfast every day.  He eats 3/4 of a box per week. 

• How much of the box does he eat each day?
• How many boxes of Honeycomb does he eat each year?

Algebra Equation Solving(My Algebra Unproject)

Angela's Algebra Unproject

In this post, I'm going to show how to solve a 2 step multiply, 2 step divide and a distributive equation. I'll also include a video I made on how to model each.

Vocabulary Words:

Co-efficient: It is the number, negative or positive, that you multiply the variable with.
ex)  2x+3=9

Constant: These are the number parts of the equation. They stay the same.
ex)2x+3=9

Variable: A variable is a letter that represents an unknown number.
ex)2x+3=9

2 Step Multiply

To find x, you have to get the variable alone. To do this do the opposite. Subtract 2 and divide by 3. You must do the same to 8 so the equation will be balanced.

Now you must verify to make sure you got it right.











2 Step Divide

In this case, you must add 3 and multiply 4 to isolate the variable. What you do on one side you do to the other.

Now verify to make sure it's correct.













Distributive

For distributive you have to multiply whatever's in the brackets by the number on the outside. In this case, 2 multiplied by x and 2 multiplied by 3. Now that the brackets are out of the way, isolate the variable like how you would for 2 step multiply.

Verify to make sure you did it correctly.














Now all that's left to do is modeling!
Here is a short video I made

Angela's Algebra Scribepost

Chapter Review, Page 361

13.

a) The d represents distance. The t represents time.
b) The 15 represents how many kilometers Craig travels per hour.
c)












d)

e) It is reasonable to have points between the ones on the graph because you can have part of an hour. For example, you can have an hour and 30 minutes.
f) Craig would travel 120km in 8 hours.
I got this answer by using the formula:
d = 15t
d = 15(8)
d = 120

Practice Test, Page 362

In this situation, t = -1. (Or the x coordinate.)
Now, you use the formula that was given to find s, or the y coordinate.
s = -4t + 2           formula
s = -4(-1) + 2      substitution
s = 4 + 2             solve
s = 6                   answer


Practice Test, Page 363

a) The price per Zap is $3. (As shown on the graph.)

b) The x-axis goes up by 1.

     The y-axis goes up by 3.

     The coordinates go over 1, up 3.

c) (0,0) would represent 0 cans for 0 dollars.

a)

b) b = 4f

    b = 4(60)

    b = 240

There would be 240 black dots in Figure 60.

Here's a quiz to practice algebraic equations

Click here to practice plotting.

Angela's Integer Scribe Post

HW Booklet: 8.3

In this post, I will be answering 4 a), 5 a), 7 a), 9 a) and 11.

4. Use diagrams to complete each division statement.
a) (+12)÷(+6)=_(+2)  

There are 2 groups of six in 12.

5. Use the diagram below each question to solve both statements.
a) (-10) ÷ (+2) =   (-5)  
    (-10) ÷ (-5)  =   (+2) 

7. Draw a diagram to solve each question.
a) (-14) ÷ (-7) =   (+2)  
Draw 14 negative integer chips, or empty circles. Then put them into groups of 7 negative integer chips.

9. Use the division of two integers to represent each situation and solve the problem.
a) Marcus scored 18 points during three games at his basketball tournament this weekend. If he scored the same number of points in each game, how many did he score per game?

18 ÷ 3 = 6
Marcus scored 6 points each game.
 You divide the number of points by the number of games to see how many points he scored per game.

11. Penelope gets a pay cheque of $750 every two weeks. If she works Monday to Friday, how much is earned each day? Use the division of two integers to represent the situation then solve.

750 ÷ 10 = 75 
Penelope earns $75 dollars each day.
She works Monday to Friday, so that's 5 days a week. She gets paid every 2 weeks, so 2 x 5 = 10. Divide the amount of money she gets every 2 weeks, which is 750, by the number of days, which is 10.

Practice how to divide fractions here.

Please leave your, comments, questions, or concerns down below!

Angela's Pay It Forward

Part 1

What is "Pay It Forward"?

Pay It Forward is a movement towards making this world a better place. You do a good deed to 3 people, without receiving anything in return. Now, those 3 people have to Pay It Forward to 3 other people. Then, it goes on and on.

In the movie, this movement started with a boy named Trevor. Trevor created Pay it Forward for his 7th grade project. It was a big success and random acts of kindness have been given all over the U.S.

Part 2

What was your Pay It Forward act of kindness?

The act of kindness I did was taking care of my cousin's dog.

Why did you choose this activity? 

I chose this activity because I wanted my cousins to have a break. They're all working now and 1 of them has University, so they're very busy. They can't give Hiro, the dog, as much attention as before now. 

Who did you help?

I helped my cousins.

What did you do?

I took care of Hiro for them.

When did you do you act of kindness?

I did my act of kindness on Dec 2, 2012.

Part 3

How did your act of kindness go?

My act of kindness went really well. 

What Happened?

I fed, walked, played, and petted Hiro.

How did you feel?

I felt extremely tired at the end of the day, but I was happy to have taken care of him.

How did the person or people react?
They were really happy because they finally got a break from Hiro.

Did you ask the person or people to "Pay It Forward"?
Yes, I did ask them to Pay It Forward. 

How did they react to your request?
They said they would and I trust that they will.

Here is a short video I made!

Part 4

Why is the idea of "Pay it Forward" important?

The idea of "Pay it Forward" is important because it makes a big difference in the world. More acts of kindness are given around the world. The world needs more love and this movement brings it. The whole idea teaches us to give and not want. 

Has your act of kindness made a difference?

I think my act of kindness did a very small difference, but I'm sure it'll grow because I trust that my cousins will Pay it Forward.

Angela's Fraction Scribe Post

In this post, I'll be explaining how to answer questions 5 a) and b), 9, and 12 from our textbook.

5.
a)3/5÷2=?
 I answered it this way:

                  I also modeled it like this

* Reciprocals are 2 fractions that equal 1.
The answer is 3/10

d)2/3÷6=?
I used the same method I did for 5 a.

Now simplify 2/18, so it's 1/9.
The answer is 1/9.

9.Ingrid runs 3 laps of a track in 1/4 h. On average, how much time does she take to run 1 lap? Express your answer.
a) You divide 1/4 h by 3 laps.


It takes her about 1/12 of an hour to run 1 lap.









b) An hour contains 60 minutes, so I multiplied the answer I got from 'a' by 60.
It takes her about 5 minutes to run 1 lap.

12. It takes 4/5 of a roll of ribbon to wrap six packages. What fraction of a roll does it take to wrap three packages?
Here's the long way for solving this problem.
First, I had to find the unit rate. How much ribbon/package?

Now multiply 2/15 by 3. That equals 6/15. Simplify that to 2/5. So, it takes 2/5 of a roll of ribbon to wrap 3 packages.
The easiest way to do it is 4/5÷2. Either way works fine.
Here's a short video on how to divide fractions.


Here's a way to practice dividing fractions.

Feel free to critique my post by leaving a comment below!


My Fraction Test corrections.

In computer terminology, a bit is 1/8 of a byte. How many bits equal 16 bytes?
I got this question wrong because I multiplied instead of dividing. I thought it would be solved by finding out 1/8 of 16, but nope. You have to find out how many groups of 1/8 go into 16 by dividing.

There are 128 bits in 16 bytes.

Use a question, picture and math to solve the following questions

5/6 x 1/2=
For the question, I messed up by putting a sentence: 5/6 of 1/2. The question I should've written is What is 5/6 of 1/2?
For the picture, I drew it incorrectly.

I did the math correctly. The answer I got was 5/12

1/4÷1/3=
I lost a mark by, yet again, putting a sentence instead of a question: Share 1/4 between 1/3. The question should've been, How many group of 1/3 are in 1/4?

I lost another mark because I had no idea how to model dividing fractions when it's a small number÷greater number.
*I was away when this was taught and no one would tell me how. I should've asked the teacher for help, but I was too scared to. Classmates, remember to ask questions so you don't end up failing tests like me.

The best way to do this is make their denominators the same, so it's easier to compare. 1/4 is now 3/12 and 1/3 is now 4/12.

I also did the math correctly for this one. The answer is 3/4.

Everything Angela knows about Fractions

Angela's Proportion Post

Definitions:
Ratio- Comparing 2 quantities that both have the same unit of measure.










Rate- Comparing 2 quantities that have different units of measure.

Proportion- An equation which shows that 2 ratios are equivalent.

Proportion Questions
1. 5 hours to travel 360 kilometers is about _____km/h.












2.Emma saves 28 cents of every dollar that she earns.  Emma earned $75 last week.  How much money did Emma save last week?

3 ways to prove that equivalent ratio statements are true:

You could divide instead of multiply.

Their quotients should be the same.

Cross multiplication








Video

I tried making my own video, but failed miserably. This video will show how to solve a proportion using cross multiplication.



Social Justice Proportion
http://www.concurringopinions.com/wp-content/uploads/2011/10/CrimeInAmerica2.jpg
1. This isn't fair one bit. The judge for Roy Brown's case is horrible at his job.
2.(I honestly don't need a proportion to see how messed up this is.)

This isn't just and fair at all. Proportions are supposed to show equivalency and this isn't equal one bit.




3. I've made this choice because I think their sentence is wrong. It is not fair that Roy Brown was sentenced 15 years in jail for doing what he did. 15 years is something I'd give to serial killers. He just stole $100, which he later gave back. The federal prosecutors gave horrible judgement to Paul. R Allen too. Justice was not served. I don't need to go to law school to know that.
4.If I was the judge I would sentence Roy Brown not guilty. I would probably buy the guy lunch.

About how tall is this traffic box?

Answer:
A peach is about 6 cm tall. 10 peaches are as tall as the traffic box.  6 x 10= 60 cm. The traffic box is around 60 cm tall.