FRIDAY DEC 21. Last Day!!

Please
1. Do Surveys on Survey Monkey (see post below).

2.  Input all data into Microsoft Excel

3.  Use Excel or "Create a Graph" to graph data

Survey Monkey online surveys

Please complete the following surveys!
1) Favorite Sports (Laurence, Jesse, Brendon)
http://www.surveymonkey.com/s/78BW3KG

2) Pets (James)
http://www.surveymonkey.com/s/7Z63P2T

3) Sauce (Daniel, Mattheas, Bright)
http://www.surveymonkey.com/s/7593S39

4) Fave computer system (Nikolai, Zev)
http://www.surveymonkey.com/s/RKZFLWH

5) Favorite Style of Dance (Justine)
http://www.surveymonkey.com/s/2MXQR3Q

Instructions for 7-3

1.  Read the post below about open-ended versus closed questions.  Read biased questions.

2.  Write at least 3 possible questions for your topic.

3.  Choose the best question.

4.  Make an appropriate chart to record your data.

5.  Begin homework (p 176 #1 & #3)

Homework:  Have chart ready to record data.  MMS p 176#1, #3,

Writing Questions

Open-Ended Questions
Advantage: you can have any answer, don't need to predict the answer, greater variety of answers
- What is your favorite sport? (Nat, Abel)
- What sports do you play? (Abel, Nat)
- What is your favorite fruit? (Julian, Matthew, Vincent)
- What is your favorite video game? (Ryan, Aziel, Anthony)
- What is your favorite app? (Maylat, Hayley)

Closed questions
Advantage: faster, more control over answer, less words to write down, less complicated, usually easier
- Which form of transportation do you prefer: school bus, TTC bus, walking, subway, streetcar, car, bike, scooter, taxi, skateboard or other? (Erica)
- Should children only eat fruit instead of candy. Yes or No? (Vincent, Matthew, Julian)
- Do you play any of these sports: Hockey (yes, no) Soccer (yes, no), basketball (yes, no), football (yes, no) baseball (yes, no) (Abel, Nat)

7-2's Biased questions
- Many people have dogs, do you want a dog?
- Soy sauce gives you X-ray vision, what is your favorite sauce? this one is both biased and untruthful... I think! (Daniel)
- A lot of people have siblings, do you have siblings?
- Having a dog expands your life expectancy, would you like to have a dog?
- Most Canadians choose Pepsi over Coke, which one do you prefer? (Kyana)

Sell Me Your Data topic list

7-1 7-2 Possible Survey Tops
1. Favourite Foods - Esai
2. Pets - James
3. Favourite type of music
4. What form of transportation do you use the most - Christopher; Erica
5. Technology (phones, iPads...) Alexandra
6. Favorite type of graphs
7. Number of schools you've attended
8. Hobbies - Tim S
9. Sports - Laurence, Jesse, Brendan....Nat,Abel
10. Season
11. Shoes - Rosie&Rachel... Janson, Jordan,
12. Book (genre, fav book)
13. Favourite colour
14. Gaming system
15. Car company
16. # of countries you've been in
17. Fav musician
18.  How many family members in your home - Lukas, Peter, Bill
19. Type of movie
20. Flavour of ice cream... Gabi, Anousha
21. Favourite type of sauce - Daniel, Matteas, Bright
22. Fav holiday...Alex, Jack
23. Coolest person
24. Getting ready in the morning.
25. Ethnic background - Jackie, Marina
26. Favorite clothing brand - Grace, Roz, Chloe
27. Favorite geometrical shape
28. Favorite type (strand) of Math
29. Favorite school subject)
30. Favorite number
31. Favorite teacher
32. Number of siblings - Lindsey; Stephanie
33. Favorite music video - Tanziel, Destiny, Anna, Cecelia
34. Brand of car (if any) owned by parent - Ben, Jackson, Devon
35.  Favorite thing to do at home - Gianmichele, Ryan
36. Fav app - Tatiana...Maylat, Hayley
37. Fav fruits... Julian, Matthew, Vincent
38. Fav game console - Emily, Jocelyn, Joanne.\
39. Fav video game - Ryan, Aziel, Anthony
40. Fav car company - Natalie
41. Type of Movie - Camelia, Victor
42. What musical instrument(s) do you play? Jade, Zhanelle
43.

Tues Nov 27, 2012

This period you can work on your blue Perimeter & Area assignment, or review your measurement concepts with the following games & websites.

An introduction to perimeter and area
http://www.bgfl.org/custom/resources_ftp/client_ftp/ks2/maths/perimeter_and_area/index.html

Area and perimeter of irregular shapes - Interactive examples
http://shodor.org/interactivate/activities/AreaExplorer/

Area of a Triangle Baseball
http://www.factmonster.com/math/knowledgebox/player.html?movie=sfw41510

Area of a Parallelogram - Read then Scroll down to "PRACTICE" to quiz yourself.
http://www.321know.com/geo78_x2.htm

Area of a Trapezoid - Read then Scroll down to "Practice" to quiz yourself.
http://www.aaamath.com/g58_arx4.htm

Perimeter and Area who wants to be a millionaire (Calculator at http://www.online-calculator.com/)
http://www.quia.com/rr/91670.html

Check out these projects

We've been presenting projects.  Here are a few samples!

A Computer Conversion Programme written in "Scratch" by D.P. & J.C. 7-2
http://scratch.mit.edu/projects/Neonpenguin45/2918814

7-3 Excited about Playing Boardgame by S.S. & I.A. (Blurred for your privacy!)

A portable invention that measures in decimeters! (by TS 7-1)

Another game - by T.M. & A.SW 7-2

Options for Metric Mini-Project

Tonight's homework is to choose a mini-project and to bring anything you need to work on it. (Ms. G will provide poster board and art supplies only).

Measurement Mini-Project

By the end of this unit you should know:

-          The basic metric units and their abbreviations

-          How to convert between different lengths (ex. 2.4m = ____ cm) and areas (ex. 1000cm² = ____ m²)

-          How to measure the area of rectangles, triangles, parallelograms, and trapezoids using a formula.

-          How to measure the area irregular shapes

Each student (or pair of students) will create a mini-project to help teach the unit.

OPTION 1 – Create Poster about a) converting using the multiplying method Natalie Brian &Omar OR

b) converting using sliding decimals Jack, Erica Tanziel & Anna Chloe& Jez, MarkOR c) converting using the MacArthur method Esai, Camelia

OPTION 2 - Exactly cover the classroom door in cm² Then a) show an irregular shape that is 1m² OR b) a large triangle and a large trapezoid with area calculations shown Maylat 7 Hayley Luiz&Max

OPTION 3 – Measure your room at home.  Find out how much it would cost to change the flooring. Laurence&Brendan Savanna&Rylee&Alexis ; Isabella.

OPTION 4 – Measure surface area of objects in the classroom.  Label them.  Vincent, Julian, Jaquie&Marina

OPTION 5 – Design an app or online game that a) Does conversions for lengths, time, areas b) Allows students to practice metric conversions   Game - Lindsay & Rachel, Jackson, Daniel, Bright &Matteas Nikolai

OPTION 6 – Design a website that shows how to measure the area of irregular shapes. OR a website that shows how to measure the area of triangles, parallelograms and trapezoids.

OPTION 7 – Create a horizontal classroom banner with the metric prefixes Alex OR Create a large staircase poster for the classroom Janson & Jordan & Matthew. Sharon&Maya

OPTION 8 – Research the history of the metric system. Present your finding in the format of your choice (report, website, podcast, video…). Joanne, Tatiana & Zhanelle, Kyana&Cecelia

OPTION 9 – Script and film a video about: a) how to do conversions using one of the methods OR b) How to use a formula to calculate the area of triangles, parallelograms and trapezoids  Riley & Victor & Anthony.  Chris

OPTION 10 -  Build a hanging mobile that has a 1cm², dm², m², Dm² kit.  OR Build a hanging mobile that has something that is 1mm, 1cm, 1dm, 1m, 1dam.

OPTION 11 – Create a new system for measuring: a) area that is *not* based on using a square OR b) measuring length that is no based on 10s. Zev&Jeremy

OPTION 12 – Write a song or rap about any of the topics above.  Make a video, or perform the song live  Aziel & Ryan  ; Anousha Gabi

OPTIONS 13 – Create a new invention that somehow connects to this unit. Tim

OPTION 14 – Create a PowerPoint presentation about a measurement topic.  Alex?Stephanie?

OPTION 15 – Create a boardgame, a Jeopardy-style game or a “Who wants to be a Millionaire” type game about measurement. Linda, Emily, Jocelyn; Santiago&Azara; Stephon

OPTION 16 – Any other mini-project approved by Ms. Gesner. Gianmichael, Caleb, Anisa

You will get 2 periods to work in class

Due dates: Conversion Projects – Monday Nov 12 (7-2, 7-3); Tues Nov 13 (7-1)

                   Area Projects – Wed Nov 14 (7-2, 7-3); Thurs Nov 15 (7-1) 

Metric Measurment Videos - Bill Nye and others

Metric Conversion Rap

http://www.youtube.com/watch?v=IhtgKHYZti0

Basics of the Metric System

http://www.youtube.com/watch?v=hCxDEB2t5Hc&feature=related

King Henry Drinks Ucky dark chocolate milk

http://www.youtube.com/watch?v=XS-8FCqYo5M&feature=related

Bill Nye the Science Guy

http://www.youtube.com/watch?v=MekxJse2vgs&feature=related

Every Measurement you Make

Test Friday November 2, 2012

Homework for Monday:
7-1 - Sheet 1.7 #1,3  Bonus - "Daphne"
7-2 - Sheet 1.7 #1,3,4,5,6 - Bonus - "Daphne"
7-3 - Finish 1.7 - Bonus - "Daphne"

To review for Friday's test  
Squares and Square Roots
Math Makes Sense p20-21

Exponents
Math Makes Sense p23-26

Order of Operations B,E/S, M/D, S/A
See handouts

Bookmark these sites

Here are some sites to review Math concepts.

Review of absolutely everything @IXL
www.ixl.com

Play games against other players @Arcademic Skill Builders
www.arcademicskillbuilders.com

More games @Fun Brain Math Arcade
http://www.funbrain.com/brain/MathBrain/MathBrain.html

Exponents, Squares and Square Roots Games

Pirate Waters - Exponents
http://mathgames4children.com/fun-board-games/6th-grade/pirate/exponents-pirate-waters-grade-6-game.html

Alien Powers
http://www.ezschool.com/Games/Exponents.html

Squares Tic-Tac Toe
http://www.funbrain.com/cgi-bin/ttt.cgi?A1=s&A2=4&A3=0

Square Roots Tic Tac Toe
http://www.funbrain.com/cgi-bin/ttt.cgi?A1=s&A2=17&A3=0

Matching Squares and Square Roots
http://www.quia.com/mc/65631.html

Number Cop Perfect Squares
** You need to choose "Perfect Squares" from the drop down menu before playing!**
http://hotmath.com/hotmath_help/games/numbercop/numbercop_hotmath.swf

Square Root Flash Cards
http://www.aplusmath.com/Flashcards/sqrt.html

Homework - Multiplication Chart

2.2 #1 - 5 odd

Tues Sept 11, 2012

MATH - Finish Exercise E, Finish Multiplication Chart - Wednesday

Tell parents that THURSDAY AT 6:00pm is Curriculum Night

Monday Sept 10

Today we did some Monday Mental Math

We also continued to work on our number lines from 0-1.

HW - Exercise B (Multiplying by 9) - Due Tuesday (tomorrow)

Today we showed that there are 5 different ways to calculate the value of 11/12 (eleven twelfths) if we know that 1/12 (one twelfth) is 0.0833333.

We then drew number lines in partners.

Homework - Both sides of "Quick Tips for Multiplication - Multiplying by 10 and by 5" - due Monday Sept 10.
Doubles and Double Doubles - Overdue

Welcome to Ms. Gesnerville!

This is a blog where I post homework and assignments for Math Classes 7-1, 7-2 and 7-3.

Today we reviewed equivalent fractions and conversion to decimals using fractions blocks.

HW - Finish "Doubles" and "Double Doubles" sheet - due Thursday Sept 6, 2012.

Last homework and quiz of the year!

Homework.  Finish 12.1 & 12.2
Quiz tomorrow on translations, rotations, reflections & probability

Thursday May 28, Homework due Tues June 5

Grade 8 Number Sense and Numeration: Fractions and Rationals sheet.


Do #1-7
Do #8 a, c, f, h
Do #9 a, c, d, g, h

Wed May 30, 2012

Solve the following word problems.  Include a diagram and show your work.

1.      Class 8-8 is voting for their class representative.  Eden gets 1/6 of the votes, Ayisha gets 1/3 of the votes and Lucas gets 1/2 of the votes.  What fraction of the class voted?  What fraction of the class did not vote?

2.      Josh has 3/5 of a Pokemon deck.  He gives Wyatt 3/10s of a whole deck.  How much of the deck does he give away?  (Bonus: what fraction of the deck does Josh have left at the end?)  

3.      Rachel is writing her English essay about the artists Leonardo da Vinci and Rafael.  The essay is divided into two halves.

Rachel is finished 1/3 of ½ of the essay.  What fraction of the whole paper has she written? (BONUS: What fraction does she have left to write?  Double Bonus – If she has 5 days left to do what’s left, what fraction should she do each day, if she wants to spread the work out evenly?)

4.      Lily takes 3 ¾ times as long to eat her lunch as Alejandra.  Alejandra takes 5 minutes.  How long does Lily take?

5.      Alejandra has 3 ½ cans of whipped cream.  She needs 1 ¼ cans to decorate a pie.  How many pies can she decorate?

6.      You come back from the movies and you have 1 ¾ bags of popcorn and your friend has 1 1/7.  How much do you have all together?

7.  Mista Haze’s mom, Mama Haze made 2 cakes, one vanilla and one chocolate.  Mama Haze, Mista Haze, Poppa Haze and Brotha Haze ate 4/5 of the chocolate cake and ate 3/7 of the vanilla cake.  How much cake is left?

Monday May 28 - Dividing Fractions

Today we used paper folding to illustrate multiplication and division of fractions.

http://edtech2.boisestate.edu/robertsona/506/finalProject/images/multiplyFractionsShapes.png









HW - p 193 # 1-13 odd; #17-23 odd.

Fri May 25

Today students worked in Mr. Wanie's Room due to the Eco-Audit.

HW - p185 #1-5
#8-10
#18-21
#26-32

Thursday May 24

HW p 191 #1-15 and #21-31

Wed May 23, 2012

HW - p181 #7,8
#13-15
#27-29
#38

Tues May 22 - Welcome back

HW - Mathpower8 -
p181 #1-8, #13-17, #19-21, #25-29
p183 #1-6, #11-17

Wed May May 16, 2012

For Friday students need to:
- Finish 11.2
- Finish In-Class Project
- Review for Test

Tuesday May 15, 2012

Today we discussed Surface Area of a Cylinder.  For a video review watch:

http://www.youtube.com/watch?v=8kMh2WWSFaA

Homework:

- Finish PreTest

- Finish 11.2 (If you want you can do a, c, e, g)

There will be a CYLINDERS TEST on Friday (May 18, Period 1).

You will need to know 

• the formula for Volume of a cylinder
• how to work backwards to find missing measurements (ex: If you're given volume and height find radius)
• how to draw a net for a cylinder
• the formula for Surface Area of a Cylinder

EXTRA HELP IS AVAILABLE TUESDAY AND THURSDAY AFTER SCHOOL!

May 11, 2012

Today we continued cutting out nets of juice boxes and cans.

Homework for Monday 11.1 and 11.3 Volume of Cylinders.

Mon May 7, 2012

Test today - Finish 2.9 if you haven't already done so.

Fri May 4, 2012

Today we watched a video and discussed batting averages

For an explanation see:
http://voices.yahoo.com/calculating-basic-baseball-stats-batting-average-48240.html?cat=14

HW - Finish 2.7 (overdue) and Finish 2.8 & 2.9.  Review all of Rates, Ratios and Percent Problems for Test.

May 2, 2012

Today we calculated unit price and sugar content for a variety of drinks.
HW - Do all of 2.7

Tues May 1, 2012

HW - Ratios PreTest, 2.5 Ratios, Bring Juice Box Friday.

Today we discussed rates - These are ratios that compare two different units.  Students brainstormed a list of rates (Minimum Wage is $10.25/hour; Speed limit on the highway is 100km/hr etc.)

Homework:  Do 2.5 Rates and Do Ratios Pre-Test for tomorrow.

Friday April 27, 2012

HW - Finish #4-20 Pink Sheet
(#21-23 are Bonus. Please complete on a separate sheet with your name if you wish it to count towards Bonus)

Thurs April 26, 2012

Sadly Ms. Gesner was in a meeting today - But when I dropped by everyone seemed to be working productively. Hooray!

Although I said you should be finished all questions I will be happy if you have finished:
Pink Sheet - #4-17.  The other questions can be finished tomorrow and over the weekend.

Tues April 24.

Today we discussed an easy way to set up Ratio Problems.
1) Write out the ratio.
2) Write two "totals boxes"
3) Write out blanks for the new ratio
4) Figure out the scale factor.

HW - Pink ratios sheet #5 - 12

Mon April 23, 2012

HW - Do all questions on 2.4

Friday April 20

Today we discussed ratio... using Bunnies to Jelly Beans

HW - #2.1 #1, 2, 3, 4 a,c, e, g, i.  #2.3 all questions

Remember: 
1) Get rid of brackets by using the distributive property
2) Gather like terms (add up all of the variables)
3) Solve using the balance method (do the same thing to both sides)

Homework:
Solve the following 2 equations.  Show your work step-by-step.

#1)    5( x + 6 ) + x = 54

#2)   -2 ( -2x + 1 ) = 10

Mon April 116, 2012

HW - Solve any 5 of the Algebraic Equations

Friday the 13th!

Today students handed in their projects and we reviewed tricky area questions using the Pythagorean Theorem.
HW - Finish all problems in duotang that involve Pythagoras.  Practice doing questions for Monday's test.

Wed Apr 11, 2011

HW - #27 (Cake Question); Project due Friday; Test Monday

Tues Apr 10, 2012

HW - Pythagoras Project due Friday; Pythagoras Test Monday.

Tonight's HW - Do all ODD questions on all of the Pythagoras pages.

Dundas Square Bonus Question

The City of Toronto recently introduced "Scramble" cross walks at several intersections downtown.
http://wvs.topleftpixel.com/08/08/29/

Using Google Earth, find a picture of the intersection of Yonge and Dundas.  Using the scale bar, find a good estimate of the distance to cross East/West and the distance to cross North/South.

Draw a diagram to represent the intersection.  Use the Pythagorean Theorem to calculate the length of the diagonal.

How much distance does it save you to cross on the diagonal relative to crossing in the traditional way.

Wed April 4th - Ms. G's birthday!

HW - 10.6 #1 and 2

Monday April 2, 2012

HW - 10.5 #1, 2, 3

Weekend HW

Do rough draft of questions #1 (formula and explanation) & 4 (biography) of project.

Have a great weekend!

Thursday - PROJECT

1.  Spend the first 15 minutes doing the demonstrations on the following website:


Pythagorean Theory Demo -
http://staff.argyll.epsb.ca/jreed/math8/strand3/3201.htm

2. Begin research for Pythagorean Theorem Project.


Pythagorean Theorem Project
Design a website, video, PowerPoint, Brochure, Mobile, Podcast, Song, Board Game, Oral Presentation or other format that presents: 



1. a)  The formula for the theorem (i.e., using number & symbols).  
b) The theorem clearly explained in words.


2.  Two illustrated examples of how to calculate the third side of a right triangle when you know 2 sides.  Include step-by-step calculations.


3.  Write 4-6 sentences about how and when the theorem is used in the real world
BONUS – Include picture and calculation from somewhere in or around Winona.
BONUS – Dundas Square question posted on blog next week.


4. A brief biography of Pythagoras in your own words. 
Include your source(s)! BE SURE TO INCLUDE QUOTATION MARKS AROUND ALL QUOTES


Project is due Wednesday April 11th. See me if you want to work with a partner.  You will get only 1 more period to work in the computer lab on Thursday of next week.

Wed March 28, 2012

Tonight's Homework - Correct both tests.  Get both tests signed.

Overdue:
Monday's Homework - p413 #6-18 even, #26-34 even
Bonus #41, 42, 50, 51

Tuesday's Homework - p175 Chapter 4 #1-9 odd
Bonus - all Chapter 4 questions

Tues Mar 27, 2012

Last night's HW - p413 #6-18 even, #26-34 even
Bonus #41, 42, 50, 51

Tonight's HW - p175 Chapter 4 #1-9 odd
Bonus - all Chapter 4 questions

Fri Mar 23, 2012

Homework for Monday
Review your pretest, reread your notes and practice problems for Monday's test.

See you Monday!

March 22, 2012

HW  
1) Finish Pretest
2) p406 #26-40 Even OR Back of Distributive Property handout a), b), c) e) f) (d is bonus)

Test is Monday!!

Wednesday March 21, 2012

Today we looked at a pretest for our final Algebra test.  The test will be Monday (March 25).


Homework - All questions on the front side of "The Distributive Property of Multiplication" (cat sheet).

Monday Mar 19 - Welcome Back!

Today we learned about how to use the Distributive Property of Multiplication to help us solve algebraic equations.

Homework:

1) Watch

http://www.youtube.com/watch?v=QzwvSp-ZtBY


2) KenKen 4x4 (6x6 is bonus)

3) Corrections to Algebra Test

Thurs March 8, 2012

Today we learned about how to use the Distributive Property of Multiplication to help us solve algebraic equations.

We watched:
http://www.youtube.com/watch?v=QzwvSp-ZtBY

and worked on p403 Odd questions

Wed March 7

Today we did a mini-lesson on Gathering Like Terms

Homework:
Mathpower 8 p402 Odd numbers, p405 #27-32.

Overdue - Integers Drill

Data Management Work Period

We worked on:
1) Data Management Round-Up (3 questions based on the Scavenger Hunt)

2) Cafeteria Bulletin Board Poster
The class decided that a Level 4 poster is:
-organized
-has an accurate graph
-has a hook/something catchy
-is bright & colourful
-has effective text
-is at least 21cm by 30cm (at least as big as a piece of photocopy paper)

BOTH ARE DUE MONDAY along with Scavenger Hunt & Data Management package.

On Tuesday we will have a Data Management Test. The test will have 2 short answer questions on Census/Surveys and will ask you to take raw data and turn it into a histogram.

Ms. G is back from Quebec!

Today in class solved a few two-step algebra problems using the balance method.

We began correcting "Test Yourself" Algebra assignment that was due today.

HOMEWORK:
- Make sure you have your Data Management Online Scavenger Hunt printed and that your Data Management Package is finished.
- Do a rough draft of a poster for #3 on the last page of the Data Management Package

Instructions - Design a display foir the Cafeteria Bulletin board that you think would be effective in presenting this data AND encouraging people to reduce, reuse, recycle.  Use your data!!

Thursday Feb 16, 2012

Homework for the Family Day Weekend - Nothing. Please relax and get rested up.


Ms. Gesner will be in Quebec with the Grade 7s next week.
On Wed Feb 29th you will be expected to hand in:
1) The Data Management Online Scavenger Hunt
2) The Algebra "Test Yourself" activity.
3) The Data Management package

Wed Feb 15, 2012

HW - Mathpower p405 #1- 26 odd numbers only and #41, 42, 43
This is due tomorrow.

Data Management Online Scavenger Hunt - We're doing this next - Tuesday's homework is in next post

Use http://www.mathsisfun.com/definitions/index.html or any other online resources to answer the following questions.

1.  a. What is a CENSUS? 
b. What are 2 advantages and 2 disadvantages of doing a CENSUS?

2.  a. What is a REPRESENTATIVE SAMPLE? 
b. What does SAMPLE SIZE mean?

3.  a. What is a HISTOGRAM? Why are they used?
b. How are histogram different from Bar Graphs? 
c. What does an "interval" or "range" mean when we talk about histograms?
d. Cut and paste 2 or more histograms below.

4.  a. What is a SCATTER PLOT? Why are they used?
b. Cut and past two or more scatterplots that show a "positive correlation"
c. Cut and paste two or more scatterplots that show a "negative correlation"
d. Cut and paste two or more graphs that show no correlation.

5.a. When should you use a BAR GRAPH to show data?
b. When should you use a LINE GRAPH to show data?
c. When should you use a PIE GRAPH to show data?
d.  Cut and paste an image of each type of graph above.

CHALLENGE - 6.  BOX AND WHISKER PLOTS - What are they?  What do they show?  Copy 3 or more images.

Tues Feb 14th - Happy Valentine's Day

HW - Do 8.5 # 4,5,6,7 (sheet from today)
Finish "Writing Algebraic Expressions & Equations" (sheet from yesterday)

Mon Feb 13, 2012

Today we practiced going back and forth between English and Mathematical Symbols.

The sum of three consecutive numbers beginning with x
x + (x+1) + (x+2)

The average of 3, 5, 9, and a number z
(3 + 5 + 9 + z) / 4
(the slash represents division)

HW - p 399 # 7-23 Odd only
#25-33

For example #33
-1 =  t 
        3
Multiply each side by 3
-1 x 3 =  t x 3
               3
-3 = t
Check your answer - Is -1 = t/3?  Yes!
    

Thursday Feb 9. 2012

HW - Mathpower 8 p396 #7-10, #19-22, #25-32

The Balance Method

A way of solving algebraic equations by doing the same thing to both sides of the equation.

3x= 15

Divide both sides by 3

3x =15

3       3

x= 5

7y-3=18

Add 3 to both sides

7y-3+3=18+3

Divide both sides by 7

7y = 21

7       7

y =3

Algebra Vocabulary

Variable- Is a symbol for a number we don't know. It is usually a letter x or y.

Constant- A number on it's own.

Coefficient- A number used to multiply a variable. In 7x is a variable, 7 is the coefficient.

4 is coefficient.
x is variable.
7 and 5 is constants.

Term- either a single number or variable, or numbers and variables multiplied together.

"Like Terms"-Terms with the same variable and exponents x, 3x and 21x are like terms. 3q and q2 are not like terms.

"Gather like terms"- put all terms with the same variable together 6x, 2x, -1x . 7x.

Evaluate- substitute a # for the variables.

Feb 8, Day 8 - We return to ALGEBRA!

Today we learned about Algebra Vocabulary
(thanks to Maegan for typing it up!)

Variable-is a symbol for a number we don’t know. It is usually a letter x or y.

Constant - A number on its own

Coefficient- A number used to multiply a variable. In 7x  x is a variable, 7 is the coefficient

    4x - 7 = 5

4 is coefficient

X is the variable

7 and 5 is constants

Term-either a single number or variable, or numbers and variables multiplied together.

Expression- A group of terms separated by + and – signs 4x-7

Equation-Has an equal sign. Both sides have the same value.

Like Terms - Terms with the same variable and exponents x, 3x and 21x are like terms. 3q and q2 are not like terms.
Gather like terms- add all terms with the same variable together 6x, 2x, -1x . 7x.
Evaluate- substitute a # for the variables.



HW - Answer the following questions to hand in.  You don't need to copy the questions but please answer in COMPLETE SENTENCES.
1.  In the expression 3a + 2
a) What is the variable?
b) What is the constant?
c) What is the coefficient of a?

2. Are -5b and 12b like terms?  Why or why not?

3. a) Make up an expression using the variable d, a coefficient of 5 and a constant of 10.
b) Make up an expression that has a variable k, a coefficient that is an odd number, and a constant that is a perfect square.

4.  Evaluate the expression 3n + 1
Example: If n = 7  then 3n +1 would be 3 (7) + 1 which is 22.  
a) n = 2
b) n = 6
c) n = 10

Mon Feb 6, 2012

Test today.

HW - Prime Factor Review Sheet - #1a, #2, #3a,b, #4.

Thurs Feb 2, 2011

HW - Pink Sheet #16, 17, 19.  Test Monday.
Extra help (and chocolate) available afterschool Thurs and Friday.

Wed Feb 1, 2012

See homework from yesterday.

Tuesday January 31, 2012

Today Ms. Gesner was at a workshop.  Class 8-8 worked on the Angles & Lines Problems on the Pink Sheet.

Homework - #8, 10, 21, 13, 14.  You will have a Mini-Quiz tomorrow.  You should be able to identify angles that are:
OPPOSITE (make an X, are equal)
COMPLEMENTARY (add up to 90 degrees)
SUPPLEMENTARY (add up to 180 degrees... look for straight lines, or Y pattern)
ALTERNATE (form a Z or backwards Z, are equal)
CORRESPONDING (are in the same position relative to parallel lines...form an F or backwards F, or upside-down F; are equal)
Co-INTERIOR (form a C or backwards C, add up to 90 degrees)

And that the internal angles of any TRIANGLE will add up to 180 degrees.
Internal angles of any QUADRILATERAL will add up to 360 degrees.

Want to see a quick video review?
http://www.youtube.com/watch?v=OS0BAU8VvvA&feature=fvsr

Complementary and Supplementary Angles

Homework for tomorrow:

1) a) b) c) Supplementary angles - On graph paper draw 3 straight lines.  For each line draw another line to create a pair of supplementary angles.  Use your protractor to label the angles.  

Here is an example:

2) a) b) c) Complementary angles 

On graph paper draw three right angles (90 degree angles).  Divide each of them into 2 smaller angles.  Measure using your protractor and label.  Here is an example:

Now you should have 6 sketches.

Be sure you have included your name, a title and the date!

Angles and Lines

Today we brainstormed everything we remember about ANGLES and LINES.
We also brainstormed about the question
Why is studying angles and lines important?
- very important in building structures and buildings
- planning and designing roads and cities
- architechture, engineering, construction, landscape architecture
- human body (chiropractor, doctors, sports medicine, coaches)
- designing furniture, clocks
- interior design
- navigation: airplane pilots, ship captains
- sports - soccer, billiards etc.
- mathematician
- art, graphic design
- clothing design
- GPS - triangulation
- military uses (GPS, weapons, defence)

Homework. - Pink Reference Sheet definitions and drawings for a,b,c,d,e, and drawings and definitions for 3. Perpendicular Lines, #4 Parallel Lines and #5 Transversal.
USE A RULER!!

Friday Jan 13, 2012

Homework:
Monday - 4.5 Graphing.  All questions
Tuesday - Test on Algebraic Patterns.  Extra help available 3pm Monday.
Thursday Monday Jan 21 - Analyzing Patterns Assignment



Analyzing Patterns Assignement
Analyze a minimum of 2 patterns made using toothpicks, counters, coloured tiles or graph paper.
For each pattern include:
1.  A photo or sketch of the pattern. Show 4 or more terms.
2.  A table of values (T-table)
3.  An algebraic expression using the letter n for the term number.  Write this in the right-hand column of the Table of Values.
4.  A graph showing the term number on the horizontal axis and the term value on the vertical axis.
5.  An equation in the form y = mx + b  Write this next to the line on the graph.  
        For example: if your expression is n x 3 +2 then your equation would be y=3x + 2.
6.  One or more real life situation(s) that could be represented by the table of values/equation/graph.  
       For example: If your equation was y=3x - If x is the number of packages of Reese Peanut butter cups you buy, y would be the number of cups.  If your equation is y=10x+5: if x is the number of hours you babysit, y will be the amount of money you earn if you are paid $10 per hour with $5.  Be creative!!


Due - Thursday Jan 19, 2012 Monday January 21, 2012 at the beginning of class.


Format - In a folder, on a poster, on a website or in a video.

Success Criteria – Analyzing Algebraic Patterns.

1. Problem Solving -  Project presents 2 or more patterns of (little, some, good, exceptional) complexity

2. Reasoning – Table of values shows the pattern (not at all, somewhat, very, exceptionally) clearly

3. Representing - Graph and Equation are (not very, somewhat, well, exceptionally) accurate

4. Connecting - Presents one or more real-life situations of (little, some, good, exceptional) accuracy and originality.

5. Communicating - Project is presented (not very, somewhat, very, exceptionally) neatly, with all required elements (Name, Date, Title, Sub-Titles, Text, Items #1-6). Project is (not very, somewhat, very, exceptionally) creative.

Wed Jan 11, 2012

HW - Do 4.3 The General Term of a Sequence. 
Do all, but here are some correct answers you can use to check your work.
Hints: #2 c) n + 3
#3 b) 11 blocks; 21 blocks; 51 blocks; and 201 blocks
#4) d) 5n + 1;  61 and 151

BONUS
If the term values are 12, 10, 8, 6, 4  what is the expression?

January 10, 2011 - Back to work!

Today we reviewed Order of Operations (sBEDMAS) and looked at the patterns we built with toothpicks before the holidays.

HOMEWORK
 1.  Copy and complete the following sBEDMAS problems:
a) (-10) x (-1) + (+6) x (-4) = +10 + -24 = -14
b) (-6) + (-2) x (-7) - (-3)
        (-6) + (+14)  - (-3)
                 (+8) - (-3)
                        +11



2.  Draw a T-table for the following pattern.  Write an expression that describes the pattern
(ex: n+5    or    4 x n + 3)
a) Caleb's

a) Daniel's (there are 5 tooth picks in the 4th drawing - hard to see in picture

c)  Fence pattern

WANT TO IMPROVE YOUR MEASUREMENT MARK? READ THE NEXT POST.

Math Project for Bonus Marks

Wanting to improve your mark in the Measurement Unit?  Do the following mini-project.

Part 1 – Circle Vocabulary

1. Draw a circle. Label the radius, diameter, circumference, centre, a chord and an arc.

Part 2 – Finding the circumference (think diameter!)
2. What is the formula to calculate the Circumference of a circle?
3. Describe in words how this formula works. (ex: To find the circumference of a circle you multiply the.....)
4. Explain (in words) how we compared the diameter and circumference using yarn.

Part 3 – Finding the Area (think radius!)
7. What is the formula to calculate the area of a circle?
8. Describe in words how the formula works.
9. Choose three methods to calculate the area of a circle. Describe and demonstrate each method.
10. Which method was most accurate? Explain.
Part 4 – Pi
11. What is pi? Explain in your own words. List your sources of information.



BONUS
12. Demonstrate more than three ways to find the area.
13. Include more information about pi (history, other uses for it…)
14. Produce creative art inspired by circles or pi (Anything goes – painting, anime, video, song, spoken word. Have fun! )
Presentation: You can choose the format: duotang, poster, video or other.
Due date: Thursday January 19, 2011.