Nils' Fraction Video

How to change improper fractions to mixed fractions.

Term 2 Reflection

Term 2 Reflection
This term was very busy. I really liked this term because it a had a lot of subjects I easily understood like volume, surface area and percent.

I felt I did well in volume because I almost got all of the tests and quizzes correct. It was really easy for me to understand volume. I had no problem knowing that volume is the space and object takes up. To find the volume of a rectangular prism you multiply the length x width x height. To find the volume of a triangular prism you multiply base x height*2/2 x height*2. Finally to find the volume of a cylinder you multiply π x r x r x h.

One thing I struggled with was understand and drawing nets for total surface area. I got confused with the different parts like top, bottom, and sides. I sometimes didn’t know what the lateral area was. I instead used formulas because I could memorize them.

Next term I will continue to do my homework regularly so I can understand the subject clearly. If I’m given two methods to solve a problem I will practice both methods so I will have many different tools to help me succeed

Here are a few things we learned this term

•We learned that percent means “out of 100.”
•Area is how much is needed to cover a shape
•Total surface area is how much is needed to cover a 3-D shape.
•Volume is how much space a 3-D shape takes up.

Nils' Great Big Book Of Integers

Chapter 1
Grade 7 Integer Review

We need to know what a zero pair is to know how to do the homework questions.

A zero pair is a pair of numbers with a positive and a negative sign which adds up to zero
Eg. (4, -4) are integers. (10, -10), ( 100, -100), ( 3, -3) are all examples

Zero pairs can be used to solve math problems with both positive and negative numbers in them.
Zero pairs can be represented by using different coloured chips. Commonly blue represents negative and red represents positive. Let's use zero pairs to solve the first starred homework question.

1) -3 - (-7) = 4
In this question you need to use Isfeld's rhyme " When subtracting something that isn't there use a zero pair." You make the zero pair for -7 and you remove -7 so all you have left is +7. You then just make zero pairs using the 3 blue chips and you have 4 positive chips left.


2) -3 - 7 = -10
For this one you have to make a zero pair so you can take away +7. You then combine negative 3 and negative 7 to get -10.


3) 3 - 7 = -4
You should use zero pairs for this because it makes it easier to understand. Make a zero pair for 7. Remove the positive part. Now make zero pairs with the three positve chips. You should have -4 remaining.

4) 3 + 7 = 10
This one is kind of obvious but let's use chips to figure it out. You should get 10.

5) -3 + 7 = 4
This one is pretty straight forward. Make zero pairs out of the 3 negative chips and you should have 4 left over.

Chapter 2
Multiplying Integers

To find out how to multiply integers we will use examples from today's class.

1) (+2) x (+3) = +6

To find out the (obvious) answer we will use chips. The statement in standard form is (2)(3) and it means "two groups of positive three". So this is what it looks like.

2) (+2) x (-3) = -6

To find the solution to this one we need to know that it means " two groups of negative three." This is what it should look like.

3) (-2) x (+3) = -6

This one is a little more complex. You need to know that the minus sign means "remove." So it means "remove two groups of positive three." To remove those groups you need to make zero pairs. You will have negative six left.

4) (-2) x (-3) = +9

This question is similar to question 3 because they both use zero pairs. This question means "remove two groups of negative three." In order to do this you need to make zero pairs to remove negative six.



Sign Rule (negative signs)

Even - When you have an even number of negative factors the product is positive.

Odd - When you have an odd number of negative factors the product is negative.

Chapter 3

Dividing Integers

A) 6/2 = 3

To get the answer you must use partitive division. It means spreading into parts or groups. This question is asking you "how many parts or groups of 2 are in 6?"

B) (-6)/(-2) = +3
How many groups of -2 are in -6?

C) (-6)/2 = -3

This question is asking you "how do you share (-6) with 2 groups?"

In the picture each group has -3.

D) 6/(-2) = -3

For this question you must use multiplicative inverse to get the answer.

The multiplicative inverse of this question is (-2) x _ = 6. The answer to the newly inversed question is positive. That means that both of the factors are negative. That means that the blank is -3 because the answer is positive and one of the factors (-2) is already negative.

Sign Rule

When there is one negative sign or an odd number of negative signs the quotient is negative.

Chapter 4

Order of Operations with Integers

(+5) x (-3) + (-6)/(+3) =

We must use BEDMAS to solve this problem. To help us do that you should put square bracket around multiplication or division parts. The question should look like this.

[ (+5) x (-3) ] + [ (-6)/(+3) ]

(-15) + [ (-6)/(+3) ]

(-15) + (-2)

-17

Cylinder Math Notes

When we think of cylinders we need to better understand circles.

Circle Terms

Radius- half of the diameter

Diameter- Cuts the circle in half

Circumference- The perimeter of the circle

Pi- The ratio between circumference:diameter or 3.14

Formulas

Circumference- pi x diameter = circumference

Radius- diameter/2 = radius

Diameter- 2 x radius = d or circumference/ pi = diameter

Area of a Circle

To find the area of a circle you use the equation:

pi x r2

It means multiply pi by the radius squared

Homework

Our homework is to find the area, diameter, circumference and radius of these circles.

I'll do the circles in order from left to right
a) d = c/pi r = d/2 a = pi x r2
d = 18.89/3.14 r = 6/2 a = 3.14 x 3 x 3
d = 6cm r = 3cm a = 28.26cm2

b) d = c/pi r = d/2 a = pi x r2
d = 31.4/3.14 r = 10/2 a = 3.14 x 5 x 5
d = 10cm r = 5cm a = 78.5 cm2

c) d = r x 2 c = pi x d a = pi x r2
d = 3.2 x 2 c = 3.14 x 6.4 a = 3.14 x 3.2 x3.2
d = 6.4cm c = 20.1cm a = 32.15cm2

d) d = r x 2 c = pi x d a = pi x r2
d = 6 x 2 c = 3.14 x 12 a = 3.14 x 6 x6
d = 12cm c = 37.68cm a = 113.04cm2

e) d = r x 2 c = pi x d a = pi x r2
d = 16.5 x 2 c = 3.14 x 33 a = 3.14 x 16.5 x 16.5
d = 33cm c = 103.62cm a = 854.87cm2

f) r = d/2 c = pi x d a = pi x r2
r = 25/2 c = 3.14 x 25 a = 3.14 x 12.5 x 12.5
r = 12.5cm c = 78.5cm a = 490.63cm2

g) r = d/2 c = pi x d a = pi x r2
r = 15/2 c = 3.14 x 15 a = 3.14 x 7.5 x 7.5
r = 7.5cm c = 47.1cm a = 176.63cm2

I had problems organizing the equations for the homework. If anyone has a suggestion to organize the homework please do comment. :)
I hope everyone now knows how to find the different parts of a circle.

Cylinder Volume and Volume Problems

Here is a problem from 7.3 to better understand calculating the volume of a cylinder.


To solve this cylinder problem we will need the formula: π x r x r x h
But we dont have the radius. We have the diameter. We will need the formula to find the radius: d/2 = r. In this question d= 20.3cm
20.3/2 = 10.15cm
Now we can do the formula
π x r x r x h = v
3.14 x 10.15 x 10.15 x 10 = 3234.9065cm^3

Here is a question from 7.4.


For this one we have to subtract the small cylinder from the big cylinder.
Big circle
pi x r x r x h = v
3.14 x 0.5 x 0.5 x 10 = v
7.85m^3 = v

Small circle
pi x r x r x h = v
3.14 x 0.4 x 0.4 x 10 = v
5.024m^3 = v

7.85 - 5.024 = 2.826m^3
Rounded it is 2.8m^3.

Final Percent Post

What is a percent?

Percent is a number out of 100.
For example 75% is 75 out of 100.
Percents can be expressed by using decimals and fractions.
For example 75% is also 0.75 and 75/100.

Key Points for this Chapter

4.1 Representing Percents

To represent a percent you can shade squares on a grid out of 100 squares called a hundred grid

To represent a percent greater than 100% shade more than one grid

To represent a fractional percent between 0% and 1% shade part of one square

4.2 Fractions, Decimals and Percents

Fractions, decimals and percents can be used to represent numbers in various situations

Percents can be written as fractions and decimals

4.3 Percent of a Number

You can use mental math strategies like halving, doubling and dividing by 10 to find the percents of some numbers

To calculate the percent of a number, write the percent as a decimal and then multiply by the number

4.4 Combining Percents

Percents can be combined by adding to solve problems

To calculate the increase in a number: Add the combined percent amount to the original number, or multiply the original number by a single percent greater than 100

Here is my video explaining percents

Here's a video using a percent question to show how to find a percent of a number

And finally this is the link to my percent scribe post.

Hope you liked my video and post.

Richard's Pay it Forward

Part 1

What i think paying it forward means is doing an act of kindness knowing that you wouldn't . Doing an act of kindness for someone can make you the next one to be treated good. Doing act of kindness for someone else will know how to do something good for someone else so then bring them to paying it forward.

Part 2

My groups way of paying it forward was to donate and volenteer at the Winnipeg Harvest and Write letters to soldiers, but we couldn't go to Winnipeg Harvest because they didn't call us, telling my group when we were allowed to go there. So we just wrote letters to soldiers in Afganistan. We did an act of kindness for someone on Dec 17th

Part 3

Our plan worked out. Everyone in the group there jobs and helped each other out. I felt good that i wrote letters to soldiers to support them. We didn't ask soldiers to pay it forward because the soldiers already did.

Part 4

The reason for paying it forward is important because it makes everyone happy and makes some people do good things to other people which made people to pay it forward. My group all think our plan worked because it showed them how to do something good to someone.

Nils' Pay It Forward

Part 1
Pay it forward is helping people without expecting to be helped back. If the people you helped help more people it is like a chain reaction that can get really big. In the movie "Pay It Forward" a boy named Trevor has a project where you can change the world. He decides to help three people. Then those three can help three more each and the number of people help can increase dramatically.

Part 2
My act of kindness was to write a letter to a Canadian soldier in Kabul, Afghanistan. I chose this activity because our armed forces our protecting our nation on foreign ground and I want to show appreciation for what our soldiers have done. I must be very hard to be in a country far from home and away from your family for a long time. This letter can tell a soldier that people in Canada care.





Part 3
It felt really good when I put that letter in the mailbox because it can encourage the soldier to continue to serve our country proudly. I didn't tell the soldier to pay it forward because they have already done it to the whole nation. The soldier is helping a lot more people than I ever could.

Part 4
The idea of Pay It Forward is very important to humanity because it can change lives and make the world a better place to live for everyone. Hopefully my letter can tell a soldier that Canadian citizens care about them and encourage them to continue to serve their country proudly.

Page 135-136 Odds

1. Jordan is right. To convert a decimal to a percent you must multipy by 100.
0.003 x 100= 0.3
0.3%

3. Both Mark and Jonas are correct. The simplest answer is that Mark and Jonas' team scored 5 while their opponent scored 1.


Notice that there is 500/100 which is 500% like Mark said and that you multiply the denominator by 5 to get the numerator like Jonas said.

5. The answer will be in picture form and simplified.



I know the picture is screwed up. I'm sorry.

7. Here is the next one.

9. Last but not least question 9.

Here is a quick but good video to understand converting decimals, fractions and percents.

I know that my post was flawed because of Paint and Word. If you have suggestions or comments please post.
PS. My post was late because I could not get on the blog all weekend.

Scribe 6

I chose number 24 and 25.

24. The first three triangular numbers are 1, 3 and 6

a) What are the next three triangular numbers?
The next three triangular numbers are 10, 15 and 21.

b) Add together any two consecutive triangular numbers. What do you notice about the sums?
I noticed that the sums are all perfect squares.


25. A square digital photo on the computer has an area of 144cm2.


a) What is the side length of the photo?
The side length is 12cm because the square root of 144 is 12.


b) The photo is enlarged so that the side length is now 36cm. What is the area of the enlarged photo?
The area is now 1296cm2 because 36x36=1296cm2

c) How many times as large as the original is the enlarged area?
The enlarged area is 9 times as large because 144/1296=9 (There is more than method to find this answer, I use division.

d) How many times as large as the original is the enlarged side length?
The enlarged length is 3 times as large because 36/12=3.

e) Use what you know about the square root of a perfect square to identify the relationship between the numbers in parts c) and d).
Question d) is the side and question c) is the area. When you square the side you get the area. So 3x3=9 .

Here is a video of how to find the square root of a number.







Please comment if you see any mistakes or any ideas to make it better.

Nils' Sesame Street Video Post

Our group was Nils, Errol, and Sam.

Rates

-compares two quantities measured in different units.

eg. 34km/2hours

Unit Rate

-a rate in which the second term is one.

eg. 3 potatoes/kilogram

Unit Price

-a unit rate used when shopping.

eg. $3.00/pound

Ratios

Two Term Ratio

-compares two quantities measured in the same unit.

eg. a:b, a to b, 3:4

Three Term Ratio

-compares three quantities measured in the same unit.

eg. a:b:c, a to b to c, 3:4:3

Part to Part Ratio

-compares different parts of the group to each other

eg. part:part

Part to Whole Ratio

-compares one part of the group to the group

eg part:whole

Proportional Reasoning

-a relationship that says that two ratios or two rates are equal

eg. 3/4=6/8

We rewrote this video. Grover tries to rearrange the letter "A" after an accident.

Here's our version.

Nils' Math Profile

My name is Nils. I like math a lot because you get to play around with numbers and you have to think. One of the funnest things that happened in math class was in grade 7 when we were spinning a spinner to learn about probability. Everyone was cheering and trying to guess what colour it would land on. That is fun.


My favourite unit in grade 7 was integers because they were quite easy to understand. I had trouble with converting fractions into decimals and percents because sometimes I get mixed up with the numbers. This year I will try to ask more questions and study the textbook harder so I won't get mixed up.


It is now grade 8. I want to finish my homework and study hard for tests. This year I want to learn how to make a proper ratio and convert it to fractions, decimals, etc.


Here is my first blog post from grade 7. I liked this post because a lot of people thought I did a good job. I want to do a good job this year in blogging.