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.