You guys ROCKED the test !

Nice work on your test everyone!  It looks like I don't have to worry about your ability to figure out sales tax or simple interest.  Here are your updated marks:

December 11th

We reviewed graphing linear equations using formula I = prt.

We played the bean budget game where I discovered that grade 9 students like to put raw beans in their mouths, even when they see others spitting them out.  Yuck.

We did look at making sure you put some of your income towards NEEDS and using the remaining money to go towards WANTS.  We were then forced to rethink some of our decisions once we had a cut in our income.  We looked at what happens if we didn't buy insurance, and we had the fun of adding new beans thanks to Mom and Dad.

No homework today, but I collected the homework from yesterday.  If you missed handing it in, do so ASAP.

Review next class and the test on Wednesday.

December 9th

We talked more about interest today.  We also talked about income tax, a bit about budgets, and a few more tips about money.  Some day you are going to have to spend money on boring things like furnaces and roof repairs too ;)

We tied interest questions in with the linear graphing unit by graphing interest over time.  I gave you four questions.

1.  Mikayla wants to take a $5000 loan.  RBC will charge her 5.5% per year simple interest.  List your facts, make a table of values and graph to TOTAL COST for each ear up to ten years.

2.  Oliver wants to buy a dirt bike.  He can get a loan from CIBC  for 6.5%.  If he needs $9000.  Graph his INTEREST over ten years.

3.  Jonah wants to build a castle with megblocks.  He can get a loan from the Credit Union for up to five years.  He needs $1200.  Graph the TOTAL COST each year for up to five years if the interest rate is 7%.

4.  Amy wants to buy a horse.  It is $14,300 for the horse she wants.  Amy can get a loan from the stable owner for 3%.  Graph the INTEREST she owes for 5 years.

For each question, list the facts, make a table of values and graph.  Label your graph and try to use as much of it as possible.

December 8th - double block day

In the first half of class, we discussed interest.  I talked about getting loans for cars and houses and gave you tips for your future when it's your turn to start getting loans.  Take the time to talk with your parents about loans as well.  I explained that banks actually use Compound Interest, but in grade 9, we are only starting with Simple Interest.

Interest Rate:  the percentage you are charged per year for borrowing money.
Principal: The amount borrowed
Interest:  The "extra" you have to pay back
Time: How long you are borrowing the money for

Formula:  I = prt

I = interest
p = principal
r = rate
t = time

Every time you do a question, I want you to write down the list of known information from the question.

HOMEWORK:  The Simple Interest Worksheet (10 questions)

Link to self-assessment for Solving Rational Equations Test

Click here to complete the self assessment

Updated marks

Nov 22nd - Test on Friday :)

You have two things to review and hand in on Friday:

The first four questions on the word problem worksheet.  Questions on the test will be similar to these ones.  Show me ALL of your work.

The six practice questions with solving rational numbers.

THERE WILL BE A EXTRA TUTORIAL THURSDAY AFTER SCHOOL.

Solving equations with rational numbers

We learned two methods for solving today.

1. Cross multiplying works when we have one term on either side of the equation.

2.  We can also multiply all terms by the Lowest Common Multiple to eliminate denominators

HOMEWORK:

Finish the front and back of the worksheet.  On the front side, you can use either method.  On the backside, you will have to use LCM.

Nov - Dec - Jan Plan

The semester is going by very quickly.  Here is what we have left...

•  Nov 21 - Nov 25: Word problems and solving with rational numbers (not any harder that we've done, just one more step to eliminate the denominators)
• Nov 25: Mini-test

• Nov 28 - Dec 2: Career education with Mr Colvin

• Dec 5 - Dec 14: Two week unit on scale diagrams, similar triangles, and ratios
• Dec 14th - Unit 3 test

• Dec 16th - Christmas Follies
• Dec 17 -  Jan 1: Christmas holidays

• Jan 3 - 13: 2 week unit on statistics and financial literacy
• Jan 13th - Unit 4 test (hopefully)

• Jan 16 - 20: Review of everything from the year
• Jan 24th - double block review day in afternoon
• Jan 25th - final exam covering everything :)

November 14 - Test Day tomorrow :)

Today we did reviewed material for the test.  Things to know:

• How to find slope from
• a graph
• an equation
• a table of values
• How to find the y-intercept from
• a graph
• an equation
• a table of values
• How to graph using
• an equation in slope-intercept form
• a table of values
• ordered pairs
• How to find an equation from
• a graph
• table of values
• when given the slope and the y-intercept
• How to change an equation from Standard Form to Slope-Intercept Form
• How to change an equation from Slope-Intercept Form to Standard Form
• Solving equations with one variable

I will have some definitions.  Here are a few I could consider:

• y-intercept, x-intercept, linear equation, slope intercept form, ordered pair,  quadrant,

I could also have you label stuff.

You'll be great!

Marks going into the test...

Writing equations from a word problem.

We started looking at creating an equation from a word problem / pattern.  We will go over this again in our double block, but here is an example:

STEPS:

• create a table of values
• is the pattern a linear one?  (does x and y go up/down by the same amount each time?)
• rise = change in y's
• run = change in x's
• slope = rise/run
• go 'backwards" one spot on your graph to see where the y-intercept would be (green)
• If you need to, draw a graph to see the slope and y-intercept.

Monday, November 7th

Today we were cutting and gluing - fun stuff.  We were going back and forth between graphs, slope-intercept form and standard (general) form.  Some of this is grade 10 stuff and you all did great!

Tomorrow, some word problems ;)

Here are some updated marks

November 3

You all worked really hard today and probably have cramped fingers.  Nice work!

Today we worked on four sheets to help us solve equations:

• solving equations with one variable and one step
• solving equations with one variable and two steps (which you seemed to find easier than the first one)
• solving equations with one variable and multiple steps - added brackets
• solving equations with one variable involving combining like terms

We did a quick teaser on tomorrow's lesson where we will be solving equations with two variables in order to put an equation into slope-intercept form.

HOMEWORK - complete and hand in the package of sheets from today.

November 1st

More practice today with slope-intercept form.  We practiced going from the graph to an equation and how to go from the equation to a graph.  Tomorrow we will be working on solving equations so that we can put all equations into slope-intercept form.

We did a class group quiz and everyone got 100% - nice work.

HOMEWORK - Graph the 8 equations I put on the board.  Most of you have already handed this in.

October 27th

We had a short quiz on graphing using a table of values and finding slope off a graph.

We practiced graphing using tables of values and using our math sense to figure out which numbers would be the most helpful to get rid of fractions.

HOMEWORK

Graph the six equations using a table of values
Find the slope of the graph
See if you can see a pattern between the slope and the graph.

I also handed out an interim now that we have completed our first test.  Please get it signed and return to me or have one of your parents send me an email to let me know they've seen it.

Have a good weekend.

October 26th -

Slope and solving

Slope = rise / run

Remember to start at one point and work your way towards the other point  to make sure your signs are right.

After break we started looking at solving.  We needed a bit of a refresher from grade 8, so did some questions from the board solving equations with one variable.

HOMEWORK:

Slope workbooklet - all five pages

Questions from the board:

1. x + 7 = 15
2. 2x + 3 = 15
3. 3x - 7 = 14
4. 2 + 3x = 17
5. 5x + 14 = -1
6. 16x-6x + 10 = 0
7. 4x = 8
8. -2x + 7 = -3
9. -4x + 12 = 0
10. -4x + 3 = 3x - 11
11. -7x - 3 = 2x - 4
12. -5x + 3x - 1 = 2x + 10x
13. -3x + 2 = 4x + 1
14. 121x + 13 = 115x +14
15. x/2 + 3 = 5

Overall marks so far - see copy on classroom door to see what is missing, or you can stop by to see me, call or send an email for more info.

October 24th

Lots of definitions today:

x-intercept - where the graph crosses the x-axis and y = 0

y-intercept - where the graph crosses the y-axis and x = 0

Linear graph - straight line graph

Non-linear graph - not a straight line graph

Linear equation - has one or two variables and each term has a power of 1

Graphing equations - we have looked at two methods so far...

• making a table of values
• finding the x-int and the y-int

HOMEWORK

first two pages of homework

October 19th

Today we learned some new terms:

Relations  - two things are connected (like relatives ;) .  We can show this relation in ordered pairs, tables or graphs.

Interpolate

Extrapolate

We looked at ways that tables, ordered pairs and graphs can be used to show different relationships

• # tickets to the play Usher are $5 each.  We made a table of values showing # tickets sold and total cost.  
• # minutes cell phone use to cost for the phone can be used to determine if this is cheaper for you than buying a monthly plan

We looked at different graphs to determine if it made sense to join the line and make it continuous.

We started looking at  equations and making a table of values, then graphing the ordered pairs.

Homework:

Worksheet:  1a, 2d, 3ac, 4,5,6
Workbook: pg 12, 13, top 14, top 15.

We also did a notebook check.  Looking good everyone!

October 18th

Start of Unit 2 - Linear Graphing and Solving

Some definitions you will need to know

We learned that there are three different ways to show the same information.  We can use a table of values, ordered pairs and graphs.  Later in the unit, we will learn a fourth way to show information.

You need to do to the end of Page 5 for homework.

October 13th

Test Day tomorrow!

Yes, it's a big one.  We are going over EVERYTHING we have learned so far.  The test will be similar to the review you did in class today.  I will be collecting the review as requested in order to give you the incentive you say you need to get it done.  I have given you the answers to make sure you are doing it right.

You are all amazing and will all do well on this test.

Latest Marks - Oct 12th

Oct 11th

Today we did more work with combining polynomials.  I will be collecting the worksheet about Ray as well as the four questions from the board:

(x+5)(x+3)
(x+5) + (x+3)
(x+5) - (x+3)
x +5(x+3)

I also gave you a review to start working on for your Unit One test on Friday.

October 6th

We had a quiz this morning to review exponents after reviewing yesterday's homework.  See yesterday's notes below as a reminder.

We reviewed the terms for polynomials.

We learned how to multiply binomials.

You will need to hand in questions 1-18, showing your work.

October 4th

Nice work today!  We worked on some really tricky exponent questions.  Here are all of the rules (short cuts) again:

Here is the homework for today.  Come and see me for an answer key if you would like one.

October 3rd

Negative and Zero Exponents

We will do more work on this tomorrow afternoon.  For homework:

1 a d i j
2 a b f
3 a b e f
4 b c f g
5 a c e
6 a c e

September 30th

Today we had a quiz briefly covering each of the main things we have done so far.  We also reviewed multiplying exponents and then learned about dividing terms with exponents.

Most of you finished your homework in class time.  You had to do questions:

3. a,d,e
4 a,c,f,i
6 a,c,e
7 a,b,,f,j
11 a,d

Have a lovely weekend.

Oh, and here are your marks so far.  You can still hand in the bulletin board thingy ;)

September 28

Today we rotated through eight different stations, reviewing all material covered so far and hopefully trying some of the more challenging worksheets at each station.  We also learned how to play crib and farkle.  I want you all to know how to play crib, farkle as well as sudokus, because these are math based games that will strengthen your understanding of math.

If anyone has any extra crib boards at home, we'd love to borrow them for the semester so students can play when their homework is done.

September 23

Thank you Mr Ostoforov for covering our class this afternoon while the volleyball teams travel to our out of town tournaments.

Mr Ostoforov is starting by handing back Wednesday's quiz, reviewing Wednesday's homework, and then giving you today's quiz on Distributive Property.

Today is all about evaluating.  You will practice plugging numbers in for the variable to come up with a solution.  You will start off easy and then get into some trickier ones.  Don't forget BEDMAS and watch your signs!

You do not have class on Monday, so we will all be together again on Tuesday morning.

I am handing out a review sheet of all we've covered so far and a short practice on these topics.

I'll attach them below as well.

Review of everything so far

practice questions

September 21 (sorry, I forgot to hit the post button yesterday)

Today was a double block of math fun.

First we learned the distributive property

 Then we reviewed multiplying powers

Then we did questions with the distributive property with powers.  Here was your homework:

Y

September 19th

Today we went over rules for operations with exponents.

Sept 16

Today we started the EXPONENT UNIT.  We talked about how to set your notes up so that it is easy to find the unit in your binder/ notebook.  I also shared that you will be getting marks for an organized notebook.

If you missed today and didn't get the notes, see me asap.  Here is today's homework:

September 15th

Today was about working with rational numbers and getting comfortable with them again.  We reviewed how to add, subtract, multiply and divide fractions (aka rational numbers).

When adding and subtracting rational numbers, you need to get a common denominator.

When multiply rational numbers, it is easier if you simplify numerators and denominators first.  It's okay if you don't, but the number can get pretty big and you'll have to reduce it later.

When dividing rational numbers, you "flip and multiply" the 2nd fraction.  (also called taking the reciprocal).

The worksheets are for your practice (and the riddles are fun).

I asked you to try the four questions I put on the board.  If I can figure out how to upload the picture, I'll do that after volleyball practice tonight.  See you tomorrow morning!

Rational Number review

Today was a review of working with rational numbers (fractions).  Remember rational numbers can be written in the form m/n where m & n are integers and n cannon equal 0.

To get used to working with fractions again, we were finding common denominators so we could put fractions in order from smallest to largest.

HINT - do a factor tree for the denominators to find the LCM

HOMEWORK:

Put the following rational numbers in order from smallest to largest

1.  11/8   -3/2    -16/10    -7/4
2. -3/8   -1/3   -1/4   -2/9   -7/-18
3. -3/15   -16/40   14/30   -13/20

*another hint - see if you can reduce fractions before you find the common denominator

September 12th

Classifying Numbers:

Natural: 1,2,3...
Whole: 0,1,2,3... (includes natural plus 0)
Integers: ..-3,-2,-1,0,1,2,3...  (includes whole plus their opposites)
Rational: 1/2, 2.3, 1.222...  (includes integers plus fractions, terminating and repeating decimals)
Irrational: 1.23532...  (decimals that do not repeat or terminate)
Real:  All of the above
Not Real: shows an error when you plug into your calculator (dividing by 0, square root of negative #)

HOMEWORK:

Finish colouring the sheet to indicate type of number

Note:  You will need to enter some radicals and fractions into your calculator to see if the number repeats, terminates or goes on forever.

*Don't forget to bring in your bulletin board picture, drawing, puzzle...

Welcome to Math 9!


Today's homework:  Bring a quote, math problem, picture or something else to post on our bulletin board.  If you don't have access to a printer, send it to me by email and I'll print it for you.  jwallach@sd19.bc.ca

Examples

: