Ms. Liefland @ Harper Junior High: March 2013

Thursday, March 28, 2013

Chapter 9 Test Review

A lot of content from Chapter 9 is building on content from Chapter 8.

Practice Test problems for Sections I and II here: https://dl.dropbox.com/u/40810525/chapter9practice.pdf

Chapter 9 Test:

I. Ratios of Similarity in 3 Dimensions

II. Two formulas for volume

Prisms and Cylinders Volume = (area of base)(height)
Pyramids and Cones Volume = (1/3)(area of base)(height)
In chapter 8 we learned that area of the base, if it is a POLYGON the formula for area is (1/2)nsa

III. Inscribed Angle Theorem

Practice Problems and Answer Key here:

http://www.kutasoftware.com/FreeWorksheets/GeoWorksheets/11-Inscribed%20Angles.pdf

Thursday, March 21, 2013

Geometry: Chapter 9

For Friday's Quiz there are two formulas you need to know.

Prisms and Cylinders
Have two congruent bases
V = (area of base)(height)

Pyramids and Cones
Have one base and come to a point on top
V = (1/3)(area of base)(height)

The bases can be: Circles, squares, rectangles, or polygons

If it is a polygon you treat that part like a Chapter 8 question.
Remember that area of a polygon = (1/2)*n*s*a

Imagine an ice cream cone sitting inside of a can. If their "base" was the same size, this means that the cone's volume would be (1/3) of the volume of the can of soup (cylinder).

The two worksheets WITH ANSWER KEYS can be found here:

http://www.kutasoftware.com/FreeWorksheets/GeoWorksheets/10-Volume%20of%20Prisms%20and%20Cylinders.pdf

http://www.kutasoftware.com/FreeWorksheets/GeoWorksheets/10-Volume%20of%20Pyramids%20and%20Cones.pdf

Monday, March 11, 2013

Geometry: Chapter 8 Test Review

Chapter 8
Cumulative Study Guide

Part I: Interior and Exterior Angles
Review document we made on Monday 3/11
Original Worksheet Ms. Liefland made With lots of Practice Questions

Part II: Area of Polygons
Review document we made on Tuesday 3/12
Original Worksheet Ms. Liefland made that Walks you Through the Steps

Part III: Ratios of Similarity and Circles
Original Review Sheet Ms. Liefland made
Good Video on Ratios:

Circles Summary:

HW PACKET DUE FRIDAY- DAY OF TEST
Show me your Bonus Question answer to get it circled and signed before you turn in
Monday 9-8, 9, 10, 21, ((19 BONUS))
Tuesday 9-26, 27, 28 ((BONUS))
Wednesday 9-22, 24, 40
Thursday: Board Questions and 9-41, ((72, 81 BONUS))

Quote Wall

The mathematician's patterns, like the painter's or the poet's must be beautiful; the ideas, like the colors or the words must fit together in a harmonious way. Beauty is the first test: there is no permanent place in this world for ugly mathematics.

- G. H. Hardy (1877 - 1947), A Mathematician's Apology, Cambridge University Press, 1994.

"Legend has it that the Pythagorean philosopher Hippasus used geometric methods to demonstrate the irrationality of while at sea and, upon notifying his comrades of his great discovery, was immediately thrown overboard by the fanatic Pythagoreans."

It seems to me now that mathematics is capable of an artistic excellence as great as that of any music, perhaps greater; not because the pleasure it gives (although very pure) is comparable, either in intensity or in the number of people who feel it, to that of music, but because it gives in absolute perfection that combination, characteristic of great art, of godlike freedom, with the sense of inevitable destiny; because, in fact, it constructs an ideal world where everything is perfect but true.

- Bertrand Russell (1872-1970), Autobiography, George Allen and Unwin Ltd, 1967, v1, p158

Gauss: You have no idea how much poetry there is in the calculation of a table of logarithms!

-Jane Muir, Of Men & Numbers, Dover, 1996.