Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

Tuesday, February 10, 2009

Angles artwork assignment

Terminology for Angles and Measurement



An angle is defined as: where two rays or two line segments join at a common endpoint called the vertex.

Acute Angle: An acute angle measures less that 90° and can look something like these (angles between the grey rays):


Right Angle: A right angle measures exactly 90° and will look something like this:

Obtuse Angle : An obtuse angle measures more than 90° but less than 180°


Straight Angle: A straight angle is 180°





Reflex Angle: A reflex angle is more than 180° but less than 360° and will look something like this:



Pairs of Angles: Complementary Angles
Two angles adding up to 90° are called complementary angles.












ABD + DBC are Complementary


Supplementary Angles
Two angles adding up to 180° are called supplementary angles.












ABD + DBC are Supplementary


If you know the angle of ABD, you can easily determine what the DBC is by subtracting ABD from 180!
Types of triangles: All interior angles add up to 180 degrees


Equilateral - all side lengths the same


Isosceles – two side lengths the same


Scalene – no side lengths the same
right angle – one 90 degree angle (right angle)




Types of quadrilaterals: All interior angles add up to 360 degrees


Square – four right angles, all side lengths the same


Rhombus - two acute, two obtuse angles, all side lengths the same


Rectangle – four right angles, two sets of parallel side, two sets of side lengths the same


Parallelogram – two acute, two obtuse angles, two sets of parallel sides
, and two sets of side lengths the same


Trapezoid – one set of parallel sides only, combination of four different angles




Your goals:





    • Art: Create an abstract artwork, attempting to combine colors and other elements harmoniously.



    • Math: Identifies properties of angles and polygons, constructs and measure angles and polygons using compass, protractor, straight-edge.



    • Math: Measures and draws acute, obtuse and right angles to nearest given degree


Elements of design
Materials required:
8 ½ x 11, protractor, rulers, pencil, pencil crayons

Your artwork must include at least two of each: acute, obtuse, reflex and right angles.
You must include at least one of each type of triangle: right angle, equilateral, isosceles, scalene triangles.
You must include at least four of each type of quadrilateral: square, rectangle, rhombus, parallelogram, and trapezoid.
Also include: one incidence of a pair of complimentary angles and one incidence of a supplementary angles.

Written description:
Along with your artwork, submit a written page describing where one can find the angles and appropriate shapes within your drawing. Eg. The tree trunk at the top right hand corner is an isosceles triangle. Or if you have an abstract picture, create a grid and describe the quadrant x, y where your shape/angle is. Eg. A, 4 (like a map).

Assigned: Wed. Feb. 11, 2009 – Due: Wed. Feb. 18, 2009


Wednesday, January 14, 2009

homework week of Jan. 12

Math - We continue to work on measurement - conversion of units as well as surface area and volume (of 3d cubes and rectangular prisms).

We have a test on Friday.

Language Arts:

Media - We are creating soundtracks to Public Service Announcements on Bowmore's Litterless lunch campaign.
We read tdsb documents at school and here is some more information (basic):

What does a waste‐free lunch look like?

Sandwiches and other nutritious food in reusable containers

Whole fruits with no packaging

Drinks in containers that can be reused, such as a thermos or a water bottle

Snacks purchased in bulk and brought in a reusable container

Cloth lunch bags and napkins

Reusable forks and spoons
What does it NOT look like?

Individually packaged foods

Plastic baggies that are not reusable

Disposable forks or spoons

Straws

Paper Bags



You need to 1) write a script trying to promote litterless lunches.
2) write a soundtrack to include as background or part of the PSA.
3) record your voice using audacity. You can use the free program at school or at home (with family permission to download the softward at: http://audacity.sourceforge.net/download/)

4) Save and compile the audio using windows moviemaker (at school). If you want you can add images to make a video.
* I will show you how to save and burn the appropriate format.

For more information on literless lunches go to:

This is the website: http://www.jamstudio.com/Studio/index.htm


Don't forget to save the file as I can save and download you mp3.
After creating a soundtrack you are using

Some students are still finishing and printing out their reading response journals from last week "China's dinosaur find."

Read 20 minutes each night.
Finish all three historical explorer maps: Alexander Mackensie, Simon Fraser and David Thompson that goes with our read aloud novel Perilous Passage.

Monday, November 26, 2007

Monday, November 26 Homework

Return report card pg. 3

Math: • 2 math sheets on volume of Triangular Prisms
•Name 3d blocks colour!
•Pattern (present + paper) colour!

History: • Trading card due Thursday
for a reminder of the assignment click here
:)

Friday, November 23, 2007

homework for the weekend

Remember that the Grey Cup is being played in Toronto this weekend.

We briefly discussed the trophy. Andrew mentioned he thought that the Stanley Cup was the oldest trophy given out in Canada. He was right.

Please see my previous post for some more information on Canadian Sports trophies.


Math - remember to experiment writing letters of your name using the isometric dot paper.

Want to print out more paper? Try: http://incompetech.com/graphpaper/isometricdots/

But first, check out this link for the on-line (interactive version) you can convert from 2D to 3D, rotate and experiment even more.

http://illuminations.nctm.org/ActivityDetail.aspx?ID=125


Math 2 - create an example of wrapping paper using the pattern blocks.
This is also known as tessellation. You can tessellate (slide (translate), turn (rotate) or flip (reflect) a design you create.

Online version http://www.arcytech.org/java/patterns/patterns_j.shtml

or this one: http://illuminations.nctm.org/ActivityDetail.aspx?ID=27

L.A.
The Heaven Shop - character table and cover page (work on)
Want to know some more about the country of Malawi? Click here CIA Factbook

Should we make some food from Malawi?...mmm banana and sweet potatoes...here

If you looked around the last web site you'll see a lot of information about Malawi.
For fun, some people play a game called Bao. It is one of the oldest games known to humans.
Are you interested in how it works? Here are some instructions for the beginner, intermediate and advanced. Bao looks like fun!

Here's a similar African game called Mancala. It only has two rows so may be easier to play at first. On-line Mancala

Reading log AND I need to collect the Mad Hot Ballroom reflection questions on Monday.

History - have all of your information for your "Trading card" ready.