Category Archives: Grade 9

Restorive Justice- Walking After Midnight

Image result for forgiveness

Letting go, letting go of the thoughts of what life could be like if that person you lost was still around. not having closure, and not forgiving. The video (Walking After midnight) proves that there are two different ways to treat a situation where it’s very hard to forgive what someone else has done. In the video, the victim’s wife told the story of how her husband was murdered.

Her husband and some of his friends went to go check on there neighbors house party, to make sure everything was under control. The husband went upstairs to check if the neighbors master bedroom was okay, and when he went up to the room, two young men where already there, and killed the husband.

But instead of the wife just filling herself with regret, she decided to use restorative justice instead. What is restorative justice? Restorative justice emphasizes repairing the harm caused by criminal behaviour. In this case, she talked to the convicted criminal, and they talked and talked, about forgiveness, and choices. Eventually, both of them did talks to elementary and middle schools about substance abuse.

I personally think that forgiveness is key to happiness and peace, because if all of your feelings of holding a grudge for someone, bottles up inside of you, and will effect your life negatively. But, if you choose to set those feelings free, you on continue on with your life, your life will still be changed, but you can continue on, never less.

I think it is very hard to forgive because if you forgive, the person who you lost is still gone, you might think that your not fighting hard enough for them, or that your going to forget them. So, it’s really fear that makes forgiving someone that hurt you, harder.

Wrong Side

Wrong Side

Humans reflection

Emerging from the machines,  

How far will we take it

Why is this a constant routine

 

Scary, scary, scary

Ghosts used to be

But we see them now

On our Snapchat screens

Big companies are eating  

Kid consumer’s cuisine

 

As the phones get bigger

Our hearts get smaller

Who is going to change

The greedy gold-diggers

  

Adults don’t even realize

It will be gone so soon

Technology will eat us

We’re now living,

On the wrong side, of the zoo

 

 

Everything I know about exponents

{Everything}   {I}  {Know}  {About}  {Exponents}

1.Representing repeated multiplication with exponents-multiplication is the same thing as repeated addition. And exponents are the same thing as repeated multiplication.

Ex. x+x+x=x^3

x is the base and 3 is the exponent or how many times x is multiplied by itself .

2.Discribe how powers represent repeated multiplication- powers represent repeated multiplication because you don’t multiply the exponent by the base, you multiply the base with itself, depending on what number the exponent is.

Ex. 5^4 =5\times5\times5\times5

3.Demonstrate the difference between two given powers in which the exponent and the base are interchanged by building models of a given power. The first model is 2^3 because there are 3 edges that equal 2. the second model is 3^2 because the length is 3 and the width is 3.

2-cubed2^3

3-squared 3^2

 

4. Demonstrate the difference between two given powers in which the exponent and the base are interchanged by using repeated multiplication

It is the difference between 2^3 and 3^2 the answer is different because when you put 2^3 , it equals 2\times2\times2 , but when you write 3^2, it equals 3\times3\times3

5.Evaluate powers with intergral bases (excluding base 0) and whole number exponents.

(-3)^2 =9

(-2)^2 =4

(-1)^2 =1

1^2 =1

2^2 =4

3^2 =9

 

6.Explain the role of parentheses in powers by evaluating a given set of powers.

{-2}^4 is the same thing as ({-2}^4) because it all equals to {-1}\times\times2\times2\times2\times2 . But, {(-2)}^4 is equal to {-2}\times{-2}\times{-2}\times{-2}

7. Explain the exponent laws for multiplying and dividing powers with the same base.

Product law: 1. Keep the base 2. add the exponents 3. multiply the coefficients

Ex. (3)4^3\times (2)4^2 = Keeping the 4 as 4. Adding the exponents (2+3=5). and multiplying the coefficients. (3×2) so you end up with (6)4^5

Quotient Law: 1.Keep the base 2. divide coefficients 3. subtract exponents

5^6\div5^5 You just subtract the exponents so then it equals 5.

8.Power law=1. Keep the base 2. multiply the exponents 3. don’t forget you coefficants.

(2^3)^3

Multiply 3\times 3

= 2^9

9. Explain the law for powers with an exponent of 0.

Any base to the power of 0=1, with the exception of 0 as a base, which is undefined.

5^0 =1

3^0 =1

{5564}^0 =1

10.Use patterns the show that a power  with an exponent of zero is equal to one.

2^3 =8

2^2 =4

2^1 =2

2^0 =1

As the exponents decrease by one, the answer is divided by the base.

11.Explain the law for powers with negative exponents

  1. Reciprocal the base(flip) 2. make exponent positive(because of the flip)
5^{-2}
= \frac{1}{5^2}
12.use patterns to explain the negative exponent law
=\frac{1}{10^2} =5^{-2}
\frac{1}{5^1} = 5^{-1}
13.I can apply the exponent laws to powers to both integral and variable bases
The exponent law applies to bases if there integral or a variable, but they have to be the same base for the laws to work.
Intergral-Multiplication laws
5^2 = 5×5
Divison Laws
5^3\div5^1 = 5^2
Power laws
(5^2)^2
5^4
Variable-Multiplication laws
x^2 = x\times{x}
Division laws
x^4\div{x^2} = x^2
Power Laws
(x^4)^2
= x^8
For all multiplication laws {with} {the} {same} {base} you add the exponent and keep the base.
For all division laws {with} {the} {same} {base} you subtract the exponents, and keep the base.
For Power laws- You keep the base, and multiply the exponents
(these do not include coefficients)(They also don’t include undefined numbers)
14.  I can identify the error in a simplification of an expression involving powers.
Ex. 5^3\times5^2 =25
The error that was made here is they correctly added the exponents, but then made the mistake of saying that 5^5 =25
The correct way of doing this is
5^3\times5^2
3+2 (adding the exponents)
= 5^5
= 5\times5\times5\times5\times5
= 3125
15.Use the order of operations on expressions with powers-BEDMAS
(5\times 2^3) +4 \div 4-2
        ↓          ↓
=(5\times8) +1-2
 ↓
=40+1-2
=41-2
= 39
16. Determine the sum and difference of two powers
Evaluate the individual powers, then add or subtract them
4^2 + 3^2
= 16+9
=25
6^23^0
=36-1
= 35
17.Identify the error in applying the order of operations in an incorrect solution
Incorrect Solution

2^2+4^2 \div2-2^2

↓       ↓           ↓

=4+16 \div2-4

↓              ↓

=20 \div(-2)

=-10

In line 2, the problem was that addition and subtraction was done before division

Correct solution

2^2+4^2 \div2-2^2

↓       ↓           ↓

=4+16 \div2-4

=4+8-4

=12-4

=8

As you can see, messing up 1 step effects your whole equation.

18. Use powers to solve problems (measurement problems)

img_0242

Find the surface area of the blue shaded square

5^2-3^2

=25-9

=16

19.Use powers to solve problems (growth problems)

Your making dough with (magic) yeast in it. every hour, the weight of the dough doubles. The dough weighs 1.2lbs. at the start. What happens to the weight of the dough after

2 hours=1.2∙2=2.4lbs.

2.5 hours=1.2∙2.5=3lbs.

3 hours=1.2∙3=2.6lbs

x hours=1.2∙x=1.2xlbs.

Example, In Science class the students made expanding elephant toothpaste and every 10 minutes the size of the goo doubled. They started out with 5ml of toothpaste, how much toothpaste was there after…

A) 10 minutes: 5 \cdot 2 = 10ml

B) 30 minutes: 5 \cdot 2^3 = 40ml

C) 1 hour: 5 \cdot 2^6 = 320ml

x hours: 5\times2^x

20.Applying the order of operations on expressions with powers involving negative exponents and variable bases.

img_0244

Don’t skip any steps when you have negative exponents. and keep track of your exponents.

{Other} {Things} {I} {Know}

Vocabulary

Power: An expression made up of a base and a power

Base: the number you multiply itself by in a power

Coefficient: Number in front of the variable

Exponent: the number of times you multiply a base in a power

Exponential Form: A short way to write repeated multiplication

Pythagorean Theorem: a^2+b^2=c^2

Squared: To the power of 2

Cubed: To the power of 3

Multiplication is repeated addition, and exponents are repeated multiplication.

Salad rolls

Mise-en-place

image

final product

image

I enjoyed this lab because it was with a new group, and we worked really well together. There was a few new ways we cut vegetables and that was interesting.

I would probably add some dark green leafy vegetables instead of the lettuce. Because lettuce has minimal nutrition value. And adding something like spinach will add extra vitamins.

When you deep fry food, your adding trans and saturated fats into your food. These fats can lead to heart attacks, obesity, and more.

information found in Advanced sports nutrition, by Dan Benardot.

LateX Coding

example 1: Exponent

5^2

Example 2: two digit exponent

5^{20}

Example 3: fractions

\frac{3}{5}

Example 4: adding in operations

3x^2\cdot5x^7   <—–multiplication

3x^2\div5x^7   <——division

Example 5:Change size

6^{-5}

Example 6: Change colour

6^5

Example 7:changing backround colour

5^3