Hey, 9-05! Well, today was the second class of our Polynomials Unit. *yaaay* We started off class by getting our stash-its back! *For anyone in hope of handing in part of your stash-it... or if you were planning on trying to hand in your mathlinks for bonus marks (like me)...you're to late.
Afterwards, we started reviewing our Chapter 4 Unit Test! Nicky pointed out that the test was in fact out of 47 instead of 48! The question that I think most people had difficulty on would probably be question #28.
28. You have been asked to design new placemats for use in the community hall. The placemats are to be hexagonal in shape. They need to be 15cm across between any two opposite sides. Create a scale drawing of your design, using a scale factor of 2 : 5.
First of all, you need to find the distance between each side in your drawing. We'll call it "x".
We know the distance between to opposite sides are 15cm in the actual, so it goes with the 5.
"x" Is part of the image, so it will go with the 2
To get from 5 to 15, you multiply 5 by 3
In order to keep it proportional, you must do the same to the other side. So 2 x 3 = 6
The length between to opposite sides will be 6cm.
The next thing we needed to do was to draw the hexagon. We know that a hexagon has 6 sides, and what Mr. B told us last week is that the number of sides a regular polygon has, is the amount of equivalent and equiangular triangles the polygon is made up of. To find the angles of these triangles, we need to divide 360° by 6, since that is how many triangles we will be using. That gives us triangles with 60° angles. Since you know all that information, all you then have to do is draw the straight horizontal line measuring 6cm, the diagonal lines using a 60° angle between the lines, and lastly connect the sides. Sorry if you didn't quite understand that, if you need any help just ask in class.
After going through our test, we had 7 questions to answer. Sorry, I do not have the exact wording for the questions, since I did not exactly knwo I would be scribe in advanced, but I will try my best.
1) Give an example of a monomial.
2) Write an expression with 3 terms. Name it.
x² + y + 4 It is a Trinomial.
3) Write an expression with 2 terms. Name it.
3x² - 2 It is a Binomial.
4) Use 4 terms and make sure each term is at least one degree of a term larger than the following one.
4x^5 + 3x^4 + 2x^3 + x^2
5) What is the degree of a polynomial in the following: 3x^3 + 3x^2 + 3x + 3
The degree is 3.
6) What is a term?
-an expression formed in the product of a variable and/or a co-efficient.
7) What is a constant?
-something that never changes. eg. y + 4 The y could be changed with a different letter or number, but the 4 has to stay a 4.
- 5.1 Extra Practice
- 5.1 in the workbook
Oh yeah, sorry for there being no color in this post, my computer is not letting me change the colour at the moment....It just changes everything.. Anyways, the next scribe is LINDA! (: