Day 120

Algebra: Chapter 10-9, p 465

Dividing Polynomials

To divide a polynomial by a monomial, divide each term by that monomial. If the divisor is not a monomial, then we need to use long (I call it synthetic from my ‘oldness’) division. It is just like regular division but takes a little getting use to.

A tip is that the quotient should be in descending order and you need to include the missing terms. If the quotient is `x^3 – x +1`, I would re-write it as `x^3 + 0x^2 + 0x +1`. Practice makes perfect. Examples 3, 4 and 5 on pages 465 and 466 are pretty easy to follow.

Here is a link from purplemath.com for more clarification.

Math-8, Chapter 11-2, p 556

Making Circle Graphs

We need a few things to make circle graphs!

  • Something to trace out a circle with, a glass, coffee cup …. nothing freehand is ACCEPTED.
  • A protractor to measure degrees with.
  • A calculator to convert numbers (ratios) to percentages.

The steps

  1. Make a circle and mark the center
  2. Draw a diameter
  3. Figure out how large each “pizza slice” should be by counting the number “out of”. An example is 14 people liked chocolate out of a total of 24 people
  4. Convert the ratio (`14/24`) to a decimal (`0.5833`) and percentage (`58.33%`)
  5. Use that percentage and multiply it by the `360°` in a circle. (`58.33% x 360` on a calculator if your have a percentage key OR `0.5833 x 360` by hand).
  6. That new number (in our case `210°`) is the measurement in degrees that the “slice” has to be. Use your protractor to measure the arc from ONE side of the diameter.
  7. Complete the above steps for the remainder of the circle graph! You may need or want to erase the other part of the diameter once you have started adding new pieces of the pie.
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