Thursday, 1 August 2013

Good Luck Everyone!

I wish you all the best of luck on the exam tomorrow... but you wont need it...! Ya'll are great!!

Mr. Gyles

Tuesday, 30 July 2013

Quiz Answer Sheet (Friday July 26th)


Quiz Answer Sheet (Tuesday July 30th)


July 30th Class Notes








July 26th Class Notes



Sorry Ahead of Time.... -_- (Forgot Quizzes at School)

Dear Students,

I regret to inform you that I have left all of your recent quizzes at school and will no be able to correct them tonight and return them to you tomorrow.

Edward Gyles

P.s. I have posted the answers to those quizzes, so if you want to review you can just use my answer sheets

Decomposable Solids Example


July 30th Homework

Hey Hey Students, Parents and Guardians,

We are nearly at the finish line, keep up the great work!!

All right, here is the homework for tonight.

8am - 11am Class
- Box and Whiskers Worksheet
- Perspective Worksheet
- Histogram Worksheet
- Algebraic Functions Worksheet

11:30am - 2:30pm Class
- Box and Whiskers Worksheet
- Perspective Worksheet

Thank you and have a nice afternoon.

Edward Gyles

Monday, 29 July 2013

July 29th Homework

Greetings Students, Parents and Guardians,

Here is what I have assigned for homework today.

8am - 11am Class
- Similarity Ratio Worksheet
- Working Backwards from Volume Worksheet
- Equivalent Solids Worksheet

I would also like to remind you that there will be a quiz on these topics tomorrow.

11:30am - 2:30pm Class
- Working backwards from Area: Pyramids: Solving for Slant
- Working backwards from Area: Pyramids/Cones: Solving for Base
- Working backwards from Area: Sphere: Area & Volume

Thank you and have a good evening

Edward Gyles

Friday, 26 July 2013

July 26th Homework

Dear Students, Parents and Guardians

The homework for the weekend is not substantial. All your son or daughter needs to complete is:

8am  - 11am Class
- Working backwards from Area: Pyramids: Solving for Slant WORKSHEET

11:30am - 2:30pm Class
- Two Step Equations WORKSHEET

Thank you and have a nice weekend!

Edward Gyles

Edward.Gyles@rsb.qc.ca

July 26th Progress Report

Dear Parents and Guardians,

I have given your son or daughter a small piece of paper that shows their marks for the 3 quizzes, 1 cumulative test and a mid term exam.

The order of the grades on the paper are as so:
Quiz #1           Quiz #2         Quiz #3        Cumulative Test         Mid term assessment

Please sign that small piece of paper and have your son or daughter return it to me for Monday July 29th, 2013

Thank you very much
Edward Gyles

Thursday, 25 July 2013

July 25th Class Notes


Answer Sheet for Set Builder Notation :)


July 25th Homework

Dear Students, Parents and Guardians,

The homework for tonight is:

1. Rules of Exponents Worksheet
2. Two step equations Worksheet (which include the six I wrote on the board)
3. Set Builder Notation Worksheet

If you have any trouble with the homework or have any questions in general, don't hesitate to send me an email.

Thanks
Edward Gyles

Edward.Gyles@rsb.qc.ca.

Wednesday, 24 July 2013

Homework Postings

Greetings Students, Parents and Guardians,

I will start posting on this blog what is for homework everyday, so that there are no excuses for it not being done. These posting will also inform you (parents and guardians) so that you can remain apprised of the pace and progress of the class.

If any of you need to contact me
Edward.Gyles@rsb.qc.ca

Thank you very much.
Edward Gyles


Wednesday, 17 July 2013

Updated/ Changed Test Schedule :)


Updated Test Schedule

July 
Monday      15th -
Tuesday      16th - Test
Wednesday 17th - Test
Thursday    18th - Test
Friday         19th - Cumulative test for this week

Monday       22nd - Review test
Tuesday       23rd -
Wednesday  24th - Mid-Term Assessment 
Thursday     25th - Test REMOVED
Friday          26th - Test

Monday       29th - Test
Tuesday       30th -Test
Wednesday  31st -
August 
Thursday        1st -  Make up Test Opportunity
Friday           2nd - Final

July 17th & PART OF 18TH Class Notes



Update for tomorrows's test

Set Builder Notation/ Interval Notation and the Number line WILL NOT BE ON THE TEST TOMORROW

Mainly because I want to go over it in more detail tomorrow

Have a nice evening everyone :)

Interval Notation/ Set Builder Notation/ Number Line WorkSheet



Tuesday, 16 July 2013

Monomial, Binomial, Polynomial Multiplication WorkSheet Answers




July 16th ClassNotes


Algebra: Polynomial Multiplication

Monomial * Polynomial
Expand out the monomial

Example:
3x2 (2x4 + 4x2)
= 6x6 + 12x4

Binomial * Binomial
Use the FOIL method

First - Multiply the first term in each set of parentheses
Outer - Multiply the outer term in each set of parentheses
Inner - Multiply the inner term in each set of parentheses
Last  - Multiply the last term in each set of parentheses

Example:
(2x+ 3)(5x-2)
= 2x * 5x + 2x * (-2) + 3 * 5x + 3 * (-2)
= 10x2 +  -4x + 15x + -6
= 10x2 + 11x - 6
                                            
Binomial * Polynomial
Expand each term of binomial to polynomial

Example:
(8x – 4) (6x2 + 3x -9)
= 8x(6x2 + 3x -9) – 4 (6x2 + 3x -9)
= 48x3 + 24x2 - 72x – 24x2 – 12x + 36
= 48x3 – 84x + 36

Dividing by a Monomial
Divide each term by the monomial

Example:
(18x4 – 12x3 + 24x2) / 6x2
= 3x2 – 2x + 4

Division by a Binomial
Use long Division

Example:
(12x3 + 23x+ 16x + 4) / (3x + 2)

                                           4x2 5x + 2
     3x + 2 / 12x3 + 23x+ 16x + 4
                 - (12x3 + 8x2)
                                15x2 + 16x
                             -(15x2 + 10x) 
                                                6x + 4
                                             -(6x + 4)
-        __________________________________________



Changed Email address

Please do not use the previous email address.

If you need to contact me, please use the email address below
Edward.Gyles@rsb.qc.ca

Thank you very much

Monday, 15 July 2013

Algebra Extra Practice Sheet


Exponents and Division Answer Sheet



Adding and Subtracting Polynomials AnswerSheet


1) (5p2 − 3)+ (2p2 − 3p3)   −3p3 +7p2 −3 5a3 −5a2
2) (a3 − 2a2)− (3a2 − 4a3)    5a3 −5a2
3) (4+2n3)+(5n3 +2) 7n3 +6 −6n3
4) (4n−3n3)−(3n3 +4n) −6n3
5) (3a2 +1)−(4+2a2) a2 −3

6) (4r3 +3r4)−(r4 −5r3) 2r4 +9r3
7) (5a+4)−(5a+3) 1
8) (3x4 −3x)−(3x−3x4) 6x4 −6x
9) (−4k4 +14+3k2)+(−3k4 −14k2 −8) −7k4 −11k2 +6
10) (3−6n5 −8n4)−(−6n4 −3n−8n5) 2n5 −2n4 +3n+3

11) (12a5 −6a−10a3)−(10a−2a5 −14a4) 14a5 +14a4 −10a3 −16a
12) (8n−3n4 +10n2)−(3n2 +11n4 −7)  −14n4 +7n2 +8n+7
13) (−x4 +13x5 +6x3)+(6x3 +5x5 +7x4) 18x5 +6x4 +12x3
14) (9r3 +5r2 +11r)+(−2r3 +9r−8r2)  7r3 −3r2 +20r
15) (13n2 +11n−2n4)+(−13n2 −3n−6n4) −8n4 +8n
16) (−7x5 +14−2x)+(10x4 +7x+5x5)  −2x5 +10x4 +5x+14

17) (7−13x3 −11x)−(2x3 +8−4x5) 4x5 −15x3 −11x−1

18) (13a2 −6a5 −2a)−(−10a2 −11a5 +9a) 5a5 +23a2 −11a 

19) (3v5 +8v3 −10v2)−(−12v5 +4v3 +14v2) 15v5 +4v3 −24v2

20) (8b3 −6+3b4)−(b4 −7b3 −3) 2b4 +15b3 −3 


21) (k4 −3−3k3)+(−5k4 +6k3 −8k5) −8k5 −4k4 +3k3 −3

22) (−10k2 +7k+6k4)+(−14−4k4 −14k) 2k4 −10k2 −7k−14 

23) (−7n2 +8n−4)−(−11n+2−14n2) 7n2 +19n−6

24) (14p4 +11p2 −9p5)−(−14+5p5 −11p2) −14p5 +14p4 +22p2 +14 

25) (8k+k2 −6)−(−10k+7−2k2) 3k2 +18k−13

26) (−9v2 − 8u)+ (−2uv − 2u2 + v2)+ (−v2 + 4uv) −9v2 +2uv−2u2 −8u
27) (4x2 + 7x3y2) − (−6x2 − 7x3y2 − 4x) − (10x + 9x2) 14x3y2 + x2 − 6x
28) (−5u3v4 + 9u) + (−5u3v4 − 8u + 8u2v2) + (−8u4v2 + 8u3v4) −2u3v4 − 8u4v2 + 8u2v2 + u
29) (−9xy3 − 9x4y3) + (3xy3 + 7y4 − 8x4y4) + (3x4y3 + 2xy3) −8x4y4 − 6x4y3 + 7y4 − 4xy3
30) (y3 − 7x4y4) + (−10x4y3 + 6y3 + 4x4y4) − (x4y3 + 6x4y4) −9x4y4 − 11x4y3 + 7y3 

Test Schedule

Test Schedule

July 
Monday      15th -
Tuesday      16th - Test
Wednesday 17th - Test
Thursday    18th - Test
Friday         19th - Test

Monday       22nd - Cumulative test for previous week
Tuesday       23rd -
Wednesday  24th - Test
Thursday     25th - Test
Friday          26th - Test

Monday       29th - Mid Term Assessment
Tuesday       30th -
Wednesday  31st -
August 
Thursday        1st -  Mock Final
Friday           2nd - Final

July 15th Class Notes


Algebra: Monomials

What is a monomial?
The points below make a monomial 

Example:
3x2
- The 3 is the number coefficient
- The X is the letter variable
- The 2 is the exponent. If it is a negative or fraction then it is not a monomial
__________________________________________

Degree of a monomial
The sum of all exponents is the degree of a monomial

Example:
3x2 has a degree of 2
3x2y5 has a degree of 7
__________________________________________

Multiplication of monomials

Multiplying monomials will always result in a single term
Multiplying numbers, and add exponents of same variable

Examples:
10ab * 4ab = 40ab2
3x4 * 7xy = 21x5y
9a3b2c5 * 2ab2c7 = 19a4b4c12
10 * (2x9) = 20x9
__________________________________________

Adding and subtracting of monomials
You can only add or subtract coefficients if their variables are exactly the same

Examples:
6x3 + 9x3 = 15x3
4x2 + 9x = 4x2 + 9x
3(2x2) + 4x(5x) – 2(6x)2 = 6x2 + 20x2 – 72x2 = 46x2
__________________________________________

Division of monomials
You can divide coefficients, and subtract exponents of same variables

Examples
10x2 / 5x = 2x
24x3 / 6 = 4x3
16x6 / 4x6 = 4 
 __________________________________________
   __________________________________________

Algebra: Polynomials

What is a polynomial?
A series of more than 3 monomials linked together by a + or –
Binomials are at least 2 monomials linked together by a + or –
Trinomials are 3 monomials linked together by a + or –

Examples:
Binomial – 5x2 + 4x2
Trinomial - 5x2 - 4x2 + 9x
Polynomial - 5x2 - 4x2 + 9x + 7x

Degree of a Polynomial
The degree of the highest monomial

Examples:
5x2 - 4x2 + 9x + 7x – has a degree of 2
5x3y9 + 4x2 + 9x + 7x – has a degree of 11

Algebra: Orders of Operation – BEDMAS/PEDMAS
1.     Brackets/ Parentheses
2.     Exponents
3.     Division
4.     Multiplication
5.     Addition
6.     Subtraction

Algebra: Substitution
When you are given an algebraic expression and told to substitute and solve it.
Use BEDMAS/PEDMAS

Example:
-5x2 + 20x + 25         If x = 3
= -5(3)2 + 20(3) + 25
= -45 + 60 + 25
= 40

 Algebra: Polynomial Addition and Subtraction
For addition collect like terms
For subtraction multiply negative to second bracket then collect terms

Examples:
(3x2 – 2x + 5) + (5x2 + 3x – 4)
= 3x2 + 5x2 – 2x + 3x + 5 - 4
= 8x2 + 1x + 1

(2x2 + 5x + 8) – (x2 – 4x + 5)
= 2x2 + 5x + 8 – x2 + 4x – 5
= 2x2  - x2 + 5x +4x + 8 – 5
= x2 + 9x + 3
  
Useful websites
http://www.onlinemathlearning.com/expression-exponent.html