Math Class

Grade 9 - Parallel and Perpendicular lines

2009-05-25T15:11:00.002-04:00

Homework check tomorrow.
Pg. 381-383 #1,2,3,5,6-10.
Many questions but doable for those of you that worked hard today in class.
Mrs. Gascho

Grade 10 - Started a new unit

2009-05-14T16:00:00.001-04:00

Today we completed (or started to complete) an assignment on parabolas using the graphing calculators. People worked REALLY well today in Period 5. Great work!
We will work on finishing this sheet tomorrow.
Mrs. Gascho

Grade 9 - Equation of a line cont'd

2009-05-13T10:10:00.002-04:00

We know the equation of a line is y=mx+b where m is the slope and b is the y-intercept. Yesterday we were given the values for m and b and were asked to determine the equation of the line. Pretty straight forward. What if we were given the slope and 1 point that wasn't the y-intercept OR we were given two points on the line, could you determine the equation of the line??
Ex. 1. Determine the equation of the line that has a slope of -1/2 and passes through point A(4,1).
y=mx+b we know m=-1/2 and from the coordinates x=4 and y=1. Substitute these in and solve for b.
1=(-1/2)(4) + b
1=-2 +b
1+2 = b
b = 3
therefore y = -1/2x + 3

Ex. 2. Determine the equation of a line that passes through point A(1,4) and point B(4,-2).
We do the same thing as example one but we first have to figure out the slope by
m=y2-y1/x2-x1
Check the notes in class for full solutions.

Assigned work: pg. 350#1, 5, 7, 8, 11a

Grade 10 - Test Day

2009-05-13T09:50:00.001-04:00

Today we are having out measurement unit test. The majority of the questions are taken directly from your practice test and the review sheet. I'm really hoping you completed them all and will be confident on this test today.
Good luck!
Mrs. Gascho

Grade 9 - Equation of a line

2009-05-13T09:37:00.002-04:00

Given m is the slope and b is the y-intercept, can you determine the equation of the line? y = mx + b.
Determining the equation of the line makes graphing a lot easier to do. Using the graphing calculators we can input the equation of a line in slope-y-intercept form and find similarities between lines and determine whether or not they are parallel.
Assigned work: pg. 179-181 #1ace, 2ace, 3ac, 4aI, iii, 5ai, iii, v, vii
The other two problems from the handout from yesterday are also due.

Grade 10 - Surface area and volume of a cylinder

2009-05-04T15:50:00.002-04:00

Well today we discussed the two formula used to solve for a cylinder. V = (pi)r^2h
SA = 2(pi)r^2 + 2(pi)rh
The tricky questions involved converting units first before inserting them into the formula. Some questions gave you the diameter, remember that the radius is d/2.
From the handout: 1ac, 2ac, 3ac, 4, 5, 8, 10ab.
I will be doing a homework check tomorrow!
Mrs. Gascho

Grade 9 - Slope without graphing

2009-05-04T10:58:00.001-04:00

Using the change in the rise over the change in the run we can obtain the slope.
m=y2-y1/x2-x1

You use the coordinates of any two points on a line to determine your x and y values.
pg. 135-138 #(3,4 do not graph), 6, 7, (14,15 do not graph)

The questions get tougher as you continue but just think about how much is the line rising or running to figure out the missing values.
Mrs. Gascho
Math help tomorrow at lunch.

Grade 10 - Surface Area

2009-05-01T13:47:00.002-04:00

Surface area can be tricky when we have to figure out the slant height first using Pythagorean theorem.
Practice doing the questions assigned today. Handout 9.2 #3ac, 4ac, 6, 8
We will discuss these on Monday. There was also a fun worksheet to practice volume and surface area. The front side is due as well. If you did not pick up the sheet today you will have to complete it for Tuesday.
Have a great weekend!
Mrs. Gascho

Grade 9 - Slope/Rate of Change

2009-05-01T13:34:00.002-04:00

Today some students worked very well. Others will have a lot of homework.
There was a powerpoint presentation on Slope and then textbook questions to follow up.
Pg. 171-172 #1,2a, 4, 8
Have a great weekend!
Mrs. Gascho
Sorry I haven't been blogging lately.

MFM2P - Tuesday

2009-04-28T10:04:00.002-04:00

Today we took up your tests for Trigonometry. Overall I'm pretty happy. Math help netted some results. Today we also talked about converting Imperial Measure to Metric Measure. Remember, because the United States is our largest trading partner, and so much of what we do in Canada is still in inperial units, a 4x8 sheet of plywood for example, it is so important to know and understand the system. It is equally important though, that we know how to convert between the two systems. Metric is easy because everything is a unit of 10. Many of you did not have your assigned homework done from yesterday, so it is for homework tonight, as well as the first 10 questions of today's handout. That means there are 20 questions that need to be done for homework for tomorrow. You had 26 min of class to do your work today, so there is no real reason why your work should not be done.

See you tomorrow.
Mr. Denys

MFM2P - Monday

2009-04-27T21:37:00.002-04:00

Hi Everybody,

Today we started the unit on Measurement and completed a worksheet in Imperial Measure. The United States, Canada's largest trading partner uses the Imperial measurement system and thus it is prudent to know and understand their system to be effective business people. You need to have up to question 10 done for tomorrow.
Mr. Denys

MFM 2D - Completing the square

2009-04-23T13:15:00.003-04:00

Today I showed you a video that had a nice detailed explanation about completing the square. Here is the link if you would like to watch it again. Click Here.

I have also attached the notebook file from period 2 as an image.

This is my first image upload. So let's see how this goes.
Mrs. Gascho
We will be having our unit test on Quadratic equations Wednesday April 29,2009

MPM 1D - Test day!!

2009-04-23T13:13:00.001-04:00

I'm sure you are very excited for our math test today! Many of you have been working VERY hard to make sure you understand algebra and have shown me you can stay up-to-date on all homework assigned.
I will mark the tests as soon as I can so we can start into a new unit.
Good luck!
Mrs. Gascho

MFM2P

2009-04-22T14:57:00.002-04:00

Test Thursday!
Don't forget you have a test on Thursday regarding similar triangles, and trigonometry concerning right angle triangles. Hopefully you all picked up a practice test, that were made available in class, and after school on Tuesday. If not, you can do the practice questions on page 285. The test isn't hard, and you'll have the whole period to do the test. It was good to see many of you in Math Help on Tuesday. That tells me, you want to pass. So.... Remember to bring your CALCULATOR!!! Like you are supposed to everyday! Good luck.

Grade 9 - We LOVE whiteboards!!!

2009-04-15T11:14:00.002-04:00

Today we did Polynomials. Remember Mono: means one, Bi: means 2, Tri: means 3.
Pg. 310-312 #8,11,17,21 and pg. 317 35ghi, 11fgh

Grade 9 - Chapter 6 review

2009-04-15T10:58:00.001-04:00

very disappointed with the number of bonus assignments I received. I received only 4!!!
You are having a large unit test on Tuesday April 21,2009.
Review solving for x.
pg. 297-299 #4,8acegi, 9bdfh, 11 every other, 12-15
If you have been falling behind on your homework, you may not have completed 5-7, 17, 18. You are responsible for these too!
Mrs. Gascho

Grade 10 - Academic

2009-04-14T15:51:00.001-04:00

Difference of Squares
x^2 - y^2 =(x-y)(x+y)

pg.248 #1acegikmo, 2aceg, 3acegh, 4all

Grade 9 - Bonus question

2009-04-09T15:31:00.002-04:00

Today we did Mathematical modeling with graphs. Working with your assigned partner you were to complete Pg. 292 #1,2,3 and then use this method to solve "Another pecan-peanut problem" and "Candy Problem" on pg. 282.
for homework.
Complete #17,18,19(bonus**!!!)pg. 299
You must have #17,18 complete in order for 19 to count as bonus. Do not forget FULL solutions.
Good luck. Have a great weekend!!
Mrs. Gascho

Grade 10 - Academic

2009-04-09T14:55:00.002-04:00

Rules for Factoring Trinomials (ax^2 + bx = c)
1) Common factor first if possible
2) If both 'a'and 'c' are easy to find the factors (ie. can only multiply 1 way do trialand error.)
3) Decomposition
4) Pull out any common factors if possible.
pg. 244-245 #9-11,14
Try your best!
Mrs. Gascho

Grade 9 - Podcasts Uploaded

2009-04-08T07:25:00.005-04:00

Grade 9's
I am so proud of your work. We (including me) started this project with minimal working knowledge of the Mac computers. I think you all pulled off pretty good podcasts.

Enjoy! Don't forget to show your parents your creativity in math class. I hope we will be able to do these again soon.

Please click on Mrs. Gascho's first class website to link to the Podcasts. Click Here!
Mrs. Gascho

Grade 10 Applied Math

2009-04-07T17:49:00.003-04:00

Today was a fun day doing some Anchor charts for Similar Triangles.

Remember some basic facts.
The interior angles of every triangle always = 180`
When two angles in two triangles are the same, then the triangles have to be similar, by the AA method. And that if all sides between two triangles share the same ratio, then the triangles are also similar by the SSS method.

We finished today's class with a note on How to Find the Sides in a Similar Triangle.

For example if /\ <- Triangle

if /\ABC and /\DEF are similar and AC=12 and AB=X, and DF=8 and DE = 4. What would be the length of side AB?
x/4 = 12/8
8x=48
x=48/8
x=6

Remember, lastly, the rules regarding Angles and their patterns when talking about parallel lines. (z patter, c pattern, f pattern, and x pattern) The patterns are important.
Mr. Denys

Grade 10 Applied Math

2009-04-06T16:09:00.002-04:00

Hello, to all parents.

For the next unit Mrs. Gascho and I have switched. I'll endeavor to post the work for the 2P math class here as she did so you can stay informed.

Properties of Similar Triangles

Similar Triangles means that the triangles have the same shape, but not the same size.

There are 2 ways to determine if triangles are similar, 1) Either Angle Angle (AA) method, or 2) Side Side Side (SSS) method. Remember the symbol to say two triangles are similar is ~ -> so ABC~DEF

Classwork/Homework Pg 235 #2,3,5,6,7
Many of you worked well, lets keep that up. Others of you need to remember to stay on task. The more work you get done in class the less homework there is right?! Always remember that you'll have at least 20min of every class to do your work, so don't waste precious time!

See you tomorrow.
Mr. Denys

Grade 10 - Factoring Simple Trinomials

2009-04-06T13:16:00.001-04:00

Find two numbers that multiply together to give you the last term and add together to give you the middle term.
If the last term is '+' then the two factors have matching signs, otherwise they do not match.
If the two brackets do not match then the final desired sign goes with the larger number.
Check teachers' note
Pg. 235 #2a,6,7acegik,8,11

Grade 9 - Solve for x cont'd

2009-04-03T15:29:00.001-04:00

Solving Equations.
When solving equations simplify each side of before applying the same operation on each side. (In other words, crossing the equals sign and switching the operation)
You can simplify by;
a)combining like terms
b) using the distributive law, or
c) eliminating the denominator

Many examples done in class.
pg. 275 -276
#1,3,4,5,7,9

Grade 10 - Academic (Multiplying Two Binomials)

2009-04-03T09:34:00.002-04:00

Multiplying two binomials can be done with one of 3 different methods.
Method 1: FOIL (F-first, O-outside, I-inside, L-last).
Method 2: Chart Method (can't seem to copy a chart to paste it here) place the two factors along the top and along the left side. Multiply each term and place it inside the box.
Collect like terms. Always leave your answer simplified in lowest terms.
Method 3: Algebra tiles (as modeled in class)

Homework: pg. 225 - 229 #4, 6, 7, 8 a i-v, 17

Grade 9 - Solve for x

2009-04-02T13:47:00.002-04:00

Yesterday we did a note to solve for x. Example: 3x - 17 = 28 and 4 - 5k = 8 + k

5t = 25

Pg. 269 1acegik, 2aceg, 8acegik, 10acegik

Today we did word problems involving forming an equation.
It is crucial to start with "let" statements to indicate what your variables stand for. Example in class:
We are getting married and deciding how many guests to invite. We have two venues as options; 1 charges 650 for the hall rental and 32 per person. The other charges 850 and 52 per person. We think things over and decide if we go with option 1 we will invite all 90 family members and a selected list of 62 if we go for the second classier option.
Create the two equations and solve for the total cost. Explain which hall you would chose.
a) Let C be the total cost
Let n be the number of guests.

C=650 + 32n (Option 1) C = 850 + 52n (Option 2)
Sub in n = 90 Sub in n = 62
C = 650 + 32(90) C = 850 + 52(62)
C = 650 + 2880 C = 850 + 3224
C = 3530 C = 4074

Therefore, we will choose option 1 as it is both cheaper and we can invite ALL the family ;)

pg. 269-271 #4, 5, 7, 11, 12 (13 is bonus)

Grade 9 - Algebra tiles

2009-03-31T16:02:00.000-04:00

Today we worked with algebra tiles to illustrate combining like terms. I know this activity was challenging for some of you. On a test you will be given the option to use algebra tiles if you would like. You are assigned pg. 265-266 #3, 6, 7, 9, 10, 11, 12.
I will be checking homework tomorrow.
Mrs. Gascho

Grade 10 - TEST!!!

2009-03-31T16:00:00.000-04:00

Hopefully you have prepared yourself for the test tomorrow. The test is the SAME length as the practice test. Be sure to have completed the practice test. YOu are more then welcome to come to my class before class in the morning to ensure success. I will be happy to check over your answers to give you some last minute pointers.
Good luck, if you work hard at math you will do well!
Mrs. Gascho

Grade 10 - Test Wednesday

2009-03-30T14:21:00.000-04:00

We will be finishing up the unit on Rates, Ratios, and Proportions. I assigned Review #1-9 from the second handout.
5-8 from the first page, include assumptions.
Tomorrow we will try drawing a scale diagram as a class and review concepts for the test.
Mr. Denys will be teaching the next unit with you starting on Wednesday.
Triangles is always a fun unit.

Grade 9 - Combining Like Terms

2009-03-30T14:15:00.000-04:00

Today we completed a short note on Combining like terms. As mentioned in class, this is a very important concept to master to ensure success throughout the chapter. Be sure you practice ALL the questions assigned.
Pg. 265-266 #1, 4, 5, 6, 7, 8, 13 (Tomorrow we will try working with Algebra tiles to see another way of solving the questions).

Grade 9/10

2009-03-25T07:45:00.001-04:00

Sorry I haven't blogged since March break. Whoa time sure is flying by.
This week, the grade 9s are completing their podcasts. They are to be completed by the end of class on Thursday. You may have to work on the design and planning as homework.
I'm really excited to see the final products.
Grade 10s, we are continuing to work on solving proportions and rates. This will come to an end this week as well.

Just a friendly reminder about Parent-teacher interviews on Thursday night. I have a few openings left between 7 and 8.
Hope to meet all parents that night.
Mrs. Gascho

Grade 9 - PodCast Instruction

2009-03-12T10:24:00.003-04:00

Links for the podcast activity:

applesInstruction

Other Tutorial I thought was good.Click here.

Okay here are some written instructions. I hope this will work.

Read here:
Start with a Plan

While it's easy to produce content for a podcast with GarageBand and a microphone, approaching your recording like a broadcast professional will aid in creating a show that people will be eager to listen to again and again.

Planning topics to discuss, possible guest interviews, and your show's length in advance will go a long way to producing a professional_sounding podcast. Since you'll be recording your project in an almost live fashion, you will have the flexibility of going back and re_editing sections as you like before you commit your show as a "wrap."

Since nearly everyone has heard a radio program, you should expect that your listeners have grown accustomed to hearing material produced in a certain way. While the fun of podcasting is having the freedom to break away from those age_old formulas, you might want to consider the basics before you lay down your first show. Here is a suggested framework for mapping out your production.
Sample Podcast Recipe

* Shoot for a show length of 5 minutes.
* Keep topics moving, and limit topic coverage to 10 minutes.
* Try to use guests as a way to break up the conversation, pace, and tone of your shows.
* Use musical backgrounds (known as jingles) or other non_music interludes to transition between topics. These topic breaks are typically described as bumpers or sweepers, giving your listeners the time they might need to digest the content you just presented.

Here's an example outline of how your show should flow:

1. Show intro monologue (who you are, what you're going to talk about): 30_60 seconds
2. Intro music jingle (repeat for each show so listeners identify the jingle with your show): 30_60 seconds
3. Topic 1: 1 minutes
4. Topic 2: 1 minutes
5. Interlude (music or break): 30 seconds
6. Topic 3: 1 minutes
7. Topic 4: 1 minutes
8. Closing remarks (thank the audience for listening, thank guests, talk about the next show briefly): 2 minutes
9. Closing music jingle (suggest same as Intro music jingle): 1 minute

Record Your Show

Recording a podcast with GarageBand can be broken down into some basic steps that you may already follow when recording, editing, and mixing live instruments or vocalists.

1. Attach your preferred audio interface and a microphone to your Mac, or use your computer's built_in microphone.
2. Create a Real Instrument track in GarageBand with your favorite preset vocal setting or build your own. (Tip: Using the Gate helps to eliminate unwanted noise when you aren't speaking, and using Compression will smooth out the overall sound of your voice. Be sure to try the vocal transformer for some really fun effects!)
3. Adjust the Gain control on your audio interface to set the recording level of your voice. It's good practice to test your distance from the microphone to determine where you sound the clearest. Attach headphones directly to your Mac or audio interface for the best quality recording (sound from speakers will be picked up in your recording).
4. Add an AIFF, MP3, or AAC file (except protected AAC files), or a selection of GarageBand Apple Loops to serve as your background music. GarageBand Apple Loops allow for the most flexibility since you can vary the length easily. GarageBand Jam Packs are also a great way to add thousands more professional loops that'll add punch and polish to your podcast. Many professional broadcasts use music intros (known as jingles) to signify the beginning or end of a show. Apple Loops offer you the ability to create your own unique copyright_free jingles for use in your podcast.
5. Begin recording, remembering to keep your original microphone position. Don't forget that if you make a mistake, you can always do a second take and fix it when editing.
6. Edit and mix your final recording.
7. Export to iTunes and then convert to AAC.
8. Publish your audio file as an enclosure on blogging services such as Blogger (for more information, visit http://www.blogger.com).
9. To share your podcast with iTunes users, you must create an RSS (Really Simple Syndication) file from your blog. RSS feed providers, such as FeedBurner, make it easy to create an RSS file from your blog. For more information, visit http://www.feedburner.com. If you choose, you can create your own RSS file. In this case, if you intend to submit your podcast to iTunes, first review the iTunes Extended Podcast RSS specification, which contains useful information on creating your podcast RSS file to work optimally in the iTunes Podcast Directory.
10. Once you've created your RSS file, your podcast is ready to be shared with the rest of the world. To make it easy for people to discover your podcast, we invite you to publish it in the iTunes Store. To publish a podcast, open iTunes and select Store in the Source list. On the iTunes Store home page, click Podcasts, then click Publish Podcast and complete the form.

Grade 9 - Test day

2009-03-11T17:08:00.001-04:00

Today the test went quite well.
Hopefully you noticed many of the questions were very similar to the practice test.
I will have those marked and returned to you shortly.
Hopefully before March Break.
Tomorrow and Friday we will be creating Podcasts using the new school MacBooks.
Bare with me on this one as this will be my first time too.
It should be fun.
Mrs. Gascho

Grade 10 - Post Test New unit

2009-03-11T16:01:00.001-04:00

Today we started a new unit on Ratios and Proportions.
Practical math that you will use I promise!
pg. 171-172 #1ace, 2ace, 3i, iii, vii, 4, 5, 7, 9

Tomorrow we have an assembly so it will be slightly shorter classes.
Don't forget to let your parents know how you did on your test ;)
Mrs. Gascho

Grade 10 - Practice Test

2009-03-09T16:02:00.000-04:00

Today you were able to complete the practice test for the BIG test tomorrow.
Remember to look over the test and the questions we did at the start of the period as they are very important ;)
Happy studying.
Mrs. Gascho

Grade 9 - Test Review

2009-03-09T12:17:00.001-04:00

Grade 9s what a busy week we have right before March Break. Today I outlined the agenda for the week. Tomorrow (IF THE TUBING TRIP IS CANCELLED) we will do the Practice test and have the Test on Wednesday. If tubing is ON then the practice test will be Wednesday and then test Thursday.
The questions you are responsible to have complete before tomorrow's class are pg. 248-249 #1 (use columns not envelopes), 2aceg, 3b (think carefully), 4-7, 10-13. I challenge you to try and solve #14.
Good luck and lets hope your hard work pays off for the test.
Mrs. Gascho

Grade 9 - Rational and irrational numbers

2009-03-06T11:02:00.002-05:00

Sorry about the confusion today.
Rational numbers are numbers that can be written as a fraction, they have terminating decimals (ones that end), or repeating decimals (whether it be a single number that repeats or a segment of repeating numbers).
ex. -2.85, 3.0, 0.123 123 123 123, 3/4

Irrational numbers: the decimals neither end or repeat. You cannot tell a pattern and cannot predict what number is coming next.
ex. Pi (3.141592654...., 0.12345634562347

Please complete pg. 246-248 #1-8
Have a great weekend!
Mrs. Gascho

Grade 9 - Pythagorean Theorem

2009-03-05T11:34:00.003-05:00

Today we did a short note on Pythagorean theorem: c^2 = a^2 + b^2, b^2 = c^2 - a^2
I also found a great video on Youtube to explain the note. Feel free to watch the video again. This is an example of a PodCast I would love to create. Click Here!

Pg. 240-241 #1,2,3ac, 4, 5, 8ace, 10
Enjoy!
Mrs. Gascho

For all the math nerds out there

2009-03-04T21:29:00.003-05:00

Okay I thought I would try a few things before I headed to bed. This video should make you laugh.
Enjoy!
Mrs. Gascho

What I've done at my workshop!

2009-03-04T11:04:00.003-05:00

Alrighty so far so good. This workshop is very fun. I've been playing all morning on MacBook creating Podcasts.
Don't make fun of me as this is my very first time.

I'm really hoping we can figure out a way to use this technology in math class.......fun eh??

Grade 9 - square roots

2009-03-03T16:14:00.000-05:00

Today Mrs. Corrie and Mr. Zold will check to make sure you had completed the puzzle sheet from yesterday. Today you are responsible for pg. 233-236 #1,3,4ac, 5ac, 8, 11, 12, and 19.
Be good....I will let you know what new things I learned when I get back.
Mrs. Gascho

Grade 10 - Continue solving for the variable

2009-03-03T15:35:00.001-05:00

We took up #13, 20, 22 today. It is very important to learn how to solve word problems. You must take out the information from the question that is important.
Today we discussed techniques to do that.
From the same handout you were responsible for #8, 10, 12, 14, 16, and 21.
Many of you worked so hard in class today you finished the work here. Good Job!
Special mention to the 8 of you that showed up to math help today. The lunch was great (a little macaroni and cheese with hot peppers if you wanted ;) )
Hope to see more of you next Tuesday.
Tomorrow I am away. You will be given a handout that is a puzzle to solve. Apply all the rules we have discussed in class to solve for the letter and you will get the answer no problem.
Also I have one more handout for you with practice problems. From the sheet you will need to do #2acegi, 3acegikmo, 4aceg, 5ace, 6.
Please work well. The teachers coming in to cover are pretty excited to see "fun math".
See you on Thursday.
Mrs. Gascho

Grade 9 - Square Roots

2009-03-03T10:46:00.003-05:00

It is a crazy coincidence that today is square root day and that is what we were planning on covering today anyways. We have a handout to do today that is a fun puzzle to complete. We will do a few more problems involving scientific notation and then square roots.
pg. 226-228 #11, 13, 18 using the fact that a pop can is 12.5cm high.
Reminder, I am away tomorrow (Wednesday) learning how to incorporate Mac Books in class. YAY! Tomorrow with the supply teacher you will be working on square roots again.
Be good :) and I look forward to teaching you again on Thursday.
Mrs. Gascho

Happy SQUARE ROOT DAY!

2009-03-03T07:09:00.002-05:00

This special holiday only happens 9 times a CENTURY and this is so bizarre because we are studying square roots today.
Can you figure out the other 8 square root days this century???

Grade 10 - Dealing with brackets

2009-03-02T15:45:00.003-05:00

Mar. 2: DO NOT FORGET MATH HELP TOMORROW AT LUNCH!!!! :)
Today we did a very short note on dealing with brackets.
When multiplying, multiply each term first.
ie: 3(2k + 3)
= 6k + 9

Ex. 1
2(k-5) = 4(3k + 10)
2k - 10 = 12k + 40
Collect like terms
2k - 12k = 40 + 10
-10k = 50
divide both sides by -10
k = 50/-10
k = -5

Check: LS = RS
LS
2(k -5)
= 2(-5-5)
= 2(-10)
= -20
RS
4(3k+10)
= 4(3(-5) + 10)
= 4(-15 + 10)
= 4(-5)
= -20
Therefore LS = RS

Complete: #1-6, [7, 9, 11, 13](Show CHECK for two of these), 20, 22 Challenge question: #25

Grade 9 - Scientific Notation

2009-03-02T12:16:00.002-05:00

Mar. 2/09
Scientific Notation is an easy way to express either very large or very small numbers. Scientific notation is used frequently in both math and science.
Rules:
To write a number in scientific notation, write as a product of:
- a number greater then -10 and less then -1 or greater than 1 and less then 10.
- a power of 10

Ex. 1 Convert the numerals to scientific notation
a) 120 000 000 000
= 1.2 x 10^11
b) 0.000 000 000 000 000 000 000 001 67
= 1.67 x 10^-24

Ex. 2
The mass of Earth is 6.0 x 10^24 kg.
a) The mass of the sun is 3.3 x 10^5 times bigger. How big is teh sun?
6.0 x 10^24 x 3.3 x 10^5
= 1.98 x 10^30

Remember to use the special button on your calculator; ie. EXP, or EE.
pg. 225-227 #1,2,3,4acegik,7,8,9(explain one in detail how you put it in the calculator then do the rest), 10ab.

Grade 9 - zero and negative exponents.

2009-02-26T14:10:00.000-05:00

Today we covered and verified that in fact all bases to the power of zero are always equal to 1.
Any base that has a negative exponent, you must take the reciprocal of that number. For example; x^-2 = 1/x^2
Overall, any x^-n = 1/x^n
Sorry about the notation, the blogger isn't as useful as a word processing document to do equations.
Out of textbook pg. 211-213 #1a-c, 2e-k, 4, 6ab, 7, 8, 10, 20, 28, 29.
Good luck and I will be checking your homework tomorrow afternoon.
Mrs. Gascho

Grade 10 - take up Test

2009-02-26T14:06:00.000-05:00

Today we took up the Unit Test - Linear Relations. Overall this test seemed challenging for many students.
We went through and made corrections to the questions. The test was then allowed to be resubmitted for 2 additional marks. For some students this made the difference between not passing and being successful on the test.
I am in the process of touching bases with all parents of the students that were not successful in passing at 2 or more categories.
Hopefully the next unit will be more successful for those of you that did not feel success on this one.
Many of you have questions from yesterday's homework to complete by tomorrow.
Friday we will work on two-step algebra questions. If you work well in class you will have no homework for the weekend. :)
From the handout: #1-17, 19, 20abc, 23, 24

Grade 9 - Powers

2009-02-25T16:08:00.000-05:00

Good class today.
Today we reviewed the power rules and touched on negative exponents.
Questions assigned were pg. 203-205 #1-4ac, 5ef, 6, 7, 8, 9, 13, 14, 17, 18
Tomorrow we are going to do negative exponents in alot more detail.

Grade 10 - Algebra

2009-02-25T13:55:00.002-05:00

One-step equations:
Note: Notice that addition and subtraction are the opposite operations of each other. x + 9
= x + 9 - 9
= x
When we add and subtract the same number, they cancel out.
In equations, we want to solve for unknowns.
Ex.1: x + 4 = 7 We want x all by itself, so how do we get rid of the +4?
Subtract 4 from both sides
x + 4 - 4 = 7 - 4
x = 3
Ex. 2 y - 8 = 12
y -8 + 8 = 12 + 8
y = 20

Once you do enough of the questions, you'll notice we are just putting the opposite operation on the other side of the equal sign.
Also notice multiplication and division are also opposite operations.
3x = 12
Divide both sides: 3x/3 = 12/3
x = 4
Complete Handout. #1-6,9,11,14,15,17,19

Grade 9 - Started Powers

2009-02-24T14:08:00.000-05:00

Sorry to be blogging after the class and not before. Today we had a SUPER class.
We started by doing a paper folding activity (similar to Mythbusters). Trevor managed to get something really close to 8 folds in class (with a little help from glue). Way to go!
There were many students that could get a pretty good looking 7 folds. I couldn't get past 6....geez.
Anyways, we then went into a note on Power rules.
Brief overview: when multiplying with the same base, add the exponents
when dividing with the same base, subtract the exponents.
when a power is to a power, multiply the exponents.

We then played a few intense games of MATHO! Similar to BINGO but the little bit nerdier version. Danny did get the first MATHO! Kayla then came out of nowhere with the first to get 2 lines and then she also was first to get the FULL CARD!
Congratulations! We will have to play MATHO more often.
Tomorrow we will continue with power rules.
Mrs. Gascho

Grade 10 - Test Day

2009-02-24T07:47:00.000-05:00

Hopefully you completed the practice test and feel confident for today's Unit Test.
The test is 3 pages long and covers graphing lines, equations of a line ( y=mx + b, Ax + By + C = 0, and y = m(x-p) + q)
I will be in the my classroom at 8:30am if you have some last minute questions.
Good luck.
New Unit starting tomorrow.
Mrs. Gascho

Grade 10 - Finally finishing Standard Form

2009-02-18T14:33:00.002-05:00

Thursday Feb. 19th.
Small note on Standard Form; Ax + By + C = 0. We will follow the note with a couple examples on how to change y = mx + b into Standard form.
For example: y = 3/4 x + 2
in order to get rid of the 4 on the denominator we must multiply the entire equation by 4. Doing this we get: 4y = 3x + 8. The last step is to order the letters x then y then any numeric value = zero (in this case we will move everything to the left side of the equation).
-3x + 4y - 8 = 0
This is standard form with A = -3, B = +4, and C = -8.
You will complete pg. 105-106 #1ac, 2bc, 3acde, 4ace, 5ae, 6cef, 8
Lastly, you will be given a practice test to complete for homework to prepare for the test.
It is advisable to come in before class in the morning to check your answers to the practice test.
Good luck!
Mrs. Gascho

Grade 9 - Unit Test (Numeracy) Feb. 19th

2009-02-18T14:31:00.001-05:00

Test, test, test.
You were given a practice test today and the solutions were posted in class. Many of you worked so well and I am hoping for complete success on the test tomorrow. The unit test is a very similar style as the practice test.
Study and review a few tough concepts and the test will go well.
Good luck
Mrs. Gascho

Grade 9 - Practice Test

2009-02-17T15:28:00.000-05:00

Wednesday I will be distributing a practice test with the same format as the test. You will be able to find solutions to the test on the blog following tomorrow's class.
Test on Thursday.
Mrs. Gascho
Extra review questions: Go through previous 2 weeks of questions and pick extra parts that were not assigned. I have additional worksheets in class if necessary.

Grade 9 - Multiplying and Dividing Rational Numbers

2009-02-17T15:04:00.002-05:00

Today we are going to finish the last new material before the test on Thursday. When multiplying/dividing rational numbers you must consider two signs the same make a positive and different signs make a negative.
These questions should be similar to the questions the other day. When estimating make sure you use numbers that you can do in your head. It is important to always practice mental math.
pg. 49-53 #1,2,4,5,10,11,13,14,15,17

Grade 10 - Mrs. Wright

2009-02-17T07:47:00.003-05:00

Good morning Grade 10s
I will be away at another math workshop this morning. I am confident you will have a great morning. Mrs. Wright is going to teach you an even easier form of the Equation of a line.
There is an assembly this morning so you will not have as much math as normal, I know this worries you.
I will see you this afternoon.
pg. 65-66 # 2ace, 3ab, 4, 5defg, 6 (these are the same questions you were assigned on Thursday but you are going to solve them an entirely different way). These answers will now mesh with the answers in the back of the textbook.
Good luck!
Test on Thursday.
Mrs. Gascho

Grade 10 - Equation of a line worksheets

2009-02-13T07:38:00.001-05:00

Good morning,
Today you will have a homework check on the questions from yesterday. You will then work through 2 worksheets to complete the equation of a line.
When we all return on Tuesday we will explore y = m(x-p) + q as well as Standard Form Ax + By + C = 0
These will be the last new things before our unit test on Thursday.
Have a great weekend.
Mrs. Gascho

Grade 9 - Adding and Subtracting Rational Numbers

2009-02-12T15:24:00.002-05:00

Today you have a wonderful supply teacher. I am away all day at a math teacher workshop. I know, extremely exciting.
I have left a quick board note that she will go through with you. This topic is similar to the lesson from yesterday. We will now add and subtract the rational numbers. Please leave all answers in fraction form if possible.
Have fun and if you finish all the seat work early, the cards are at the front of the room to play Fraction Action.
Remember, Unit Test on Thursday.
See you on Tuesday.
Mrs. Gascho

pg. 43-45 #1ace, 2ace, 3, 4, 6, 8, 10, 12 (leave as a fraction), 13ace, 14, 17, 19

Grade 10 - Equation of the line

2009-02-11T13:37:00.003-05:00

Today we are going to continue with figuring out the equation of a line from a point and a slope, two points, or a slope and y-intercept.
Using the textbook we will complete
Practice your skills; 2 (all)
Exercises. pg. 65-66 # 2, 3, 4, 5abc, 6
This will be one technique to solve an equation. There will be a small note on the board taking up homework from Tuesday.
Friday we will continue on to the "Point Slope Form" y = m(x-p) + q

Grade 9 and 10 - Fog day

2009-02-11T06:49:00.002-05:00

Good morning,
Today the school is open for study purposes only. We will continue tomorrow with the last blog. Grade 9s we will do rational numbers Thursday, Grade 10s we will finish equation of the line.
Enjoy your day at home and get caught up on missed work.
Mrs. Gascho

Grade 9 - Rational Numbers

2009-02-10T17:32:00.003-05:00

Rational numbers: any number that can be written in the form m/n, where m and n are integers and n cannot equal zero.
Ex. 0.4, 4/7, -1.23
We will explore number lines and integers to determine which rational expression is larger.
Ex. Which rational number is larger? 1/4 or 3/4
Ex. Which rational number is larger? -2/3 or -3/2
Why?
What is the difference between an integer and a rational number? Integers are whole numbers like -3, -2, -1, +1, +2, +3. Rational numbers can have decimals like 1.4 and -2.3.
Without a calculator, estimate the answer. (5)(-3)/(-7) = -15/-7 = 2.1

Using the textbook, complete pg. 37-40 #3, 4ace, 5acegik, 6all, 7, 9ace, 10(only the ones that can be written as integers), 14, 15, 20, 21, 23acegi, 24(use a calculator and compute the final answer showing the steps).
Happy Calculating!
Test on Numeracy Wednesday, Feb. 18th.

Grade 10 - Linear Models

2009-02-10T09:18:00.002-05:00

Today we will take up any problems from the handout from yesterday. Especially focusing on #5, and 8.
We will continue determining the equation of the line, using two points on a line and applying y2-y1/x2-x1.

Ex. 1: A line with slope 2 passes through the point (4,3). Determine the equation of the line.
Solution: m = 2
y = 2x + b (solve b)
plug in the value x = 4 and y = 3
3 = 2(4) + b
3 = 8 + b
3 - 8 = b (subtract 8 from both sides)
-5 = b
Therefore, y = 2x -5

Ex. 2: Given the points (-1,4) and (5,13). Determine the equation of the line.
M=y2-y1/x2-x1
=13-4/5-(-1)
= 9/6
= 3/2
Then to figure out the b value, we must use y=mx + b and substitute what we know.
y = 3/2x + b
pick one of the two points and plug in the values. Picking the 1st point, (-1,4) we get 4 = 3/2(-1) + b and then we can solve for b.
4 = -3/2 + b
4 + 3/2 = b (add 3/2 to both sides)
8/2 + 3/2 = b (make a common denominator, if you use your calculator at this step that is okay)
11/2 = b
Therefore, the equation of the line is y = 3/2x + 11/2

Using the handout supplied in class, complete #1 ac, 2ac, 3ac, 5aceg, 6all, 7ace
I will be doing a homework check tomorrow. I am available at lunchtime if you require some help.
Mrs. Gascho

Grade 9 - Percent Contd

2009-02-09T21:35:00.002-05:00

After a successful class of percentage, we will continue with this topic to further expand percent into word problems. Continuing on pg. 29-33 #9a,c,e,g,i, 10, 11, 13, 15, 17, 25, 27.
Now you will be able to determine the marks needed to be successful in math :)
Mrs. Gascho

Grade 10 - Slope continued

2009-02-09T09:32:00.004-05:00

Today,
We will go through a PowerPoint presentation on Slope to help better understand the equation of a line. I have attached the files to the C. Gascho website under Feb. 6/09 if you need to review it.
We will then complete a handout practicing our graphing techniques.
(distributed in class).
There will be no textbook homework questions but you will be required to have all of the handout complete for tomorrow's class. From the handout you are expected to do #1, 2ab, 3ac, 5, 6ac, 7(AB, CD), 8, 12
Mrs. Gascho

Grade 9 - Percent, Decimal, and Estimation

2009-02-09T09:15:00.003-05:00

Good morning Grade 9s
Today we are going to be calculating percent from fractions and decimals. We will also be able to estimate percentage in word problems.
There will be a board note and then pg. 28-33 #1,2,3,4,6a,c,f,g,h,7,9,10,12
Additional challenge: (For those of you checking the blog)
Currently there are 33,441,277 residents in Canada. Most recent statistic on StatCan.gc.ca is an unemployment rate of 7.2%. How many people are currently unemployed?
Similarly, there are 4,385,800 youth aged 15-24. There are 2,525,600 employed. What percentage of youths are employed in Canada?
(This math is VERY practical)

Grade 9 - Fun Friday!

2009-02-06T11:14:00.000-05:00

Grade 9s you are off to an awesome start!!!
Today we are going to play "Fraction Action" which is a card game similar to war. We will practice our fraction skills and have a little fun too ;)
We will also play a fun game of Jeopardy using math questions for practice.
Lets enjoy the weekend homework free.
Mrs. Gascho

Grade 9 - Feb. 5/09

2009-02-05T11:35:00.000-05:00

Well day 4 of classes.
So far so good. It is expected that you have all four of the puzzle sheets on integer practice complete. You can check the answer key at the back of the room.
Today we are going to work on Fractions continuing with yesterday's note on the rules. We will convert decimals to fractions. Ex. 0.6 --> 6/10 --> 3/5 in lowest terms. A few of the more challenging fractions may be left as a mixed number. Ex. 4.85 --> 4 85/100 --> 4 17/20.
Using your textbook, complete pg. 17-21 #1-5, 10, 11, 12, 17 (do not worry about writing down your keystrokes if you are showing your work).

Enjoy!
Mrs. Gascho

Grade 10 - Continuing with slope

2009-02-04T15:36:00.001-05:00

Hello
Today (Thurs. Feb. 5) we will finish the handout "Graphing Equations of the line". I will be checking to see how successful you were at graphing #1 and 2. Feel free to get help at lunch so you can pass the first homework check of many to come.
We will use the textbooks today to complete graphing with table of values and equations. Pg. 21-24 #1, 3, 4, 5a, b, c, d, 6a, b, c, d, 10.
We are also going to work through a graphed sheet and determine what the equation of the line would be.
Good luck.
Remember to study for your quiz on Friday.
Mrs. Gascho

Welcome to Math class

2009-02-03T17:59:00.000-05:00

Hello everyone.
This is my first blog EVER! I'm hoping we will be able to use this blogspot as a place to check homework and class communication.
My goal is to put up the homework/classwork assigned at the end of every day. If you are away for sports games, vacation, or illness please check here for missed work.
I am super excited for the semester.
Mrs. Gascho!