Geometry "B" Assignments, Advisory 4
Homework, week of May 23: On Monday night, rewrite your proof using the 7 steps we used in class. Hand it in on Tuesday. BRING BACK YOUR GEOMETRY BOOK TUESDAY, AS WELL! On Wednesday night, present your proof to a parent or sibling at home. On Thursday, hand in the figure you drew and the claims and justifications on it, with the signature of the person you presented it you. On Friday, and for the rest of the advisory, study, study, study, every night in your study guide and binder. See this memo below for why!!!!
May 23, 2011
TO: PARENTS AND STUDENTS
FROM: DR. ROSSITER
RE: KEY DATES FOR PASSING GEOMETRY B
Friday, May 27: FINAL BINDER CHECK: Students will hand in their binders for the last time during the weekly banana. All materials from the advisory must be placed correctly and neatly in one of the five categories. I will not give credit for loose papers. The graded binders will be handed back on Monday so students can use them to study.
Tuesday, Wednesday, and Thursday, May 31, June 1, June 2: PROOF SECTION OF THE BIG BANANA (25 points): Students have been assigned a specific date to present their proof using our seven-step method. Parents and family members are encouraged to attend on that date to hear the presentation. When proof presentations are over for each day, students will work on problems from the STUDY GUIDE for the FINAL BANANA, or from the BIG BINDER of all our work from the year. There are no “make-up” days for this section.
Tuesday, June 7: CONSTRUCTION and MATH GAMES SECTIONS OF THE BIG BANANA (25 points): Students will follow written instructions to make various geometric figures, and then take part in a graded math game. There are no “make-up” for these sections.
Wednesday and Thursday, June 8 and 9: THE FIVE EXAM SECTIONS OF THE BIG BANANA (50 points): Lines; Percentages; Triangle Properties; Perimeter, Area, and Volume; Ratios, Similarity, and Trigonometry. There are no “make-up” days for these sections.
Homework, week of May 17:
Wednesday: Page 562, numbers 10 to 15 -- but only find the answer to the second decimal place. Be sure to reread the relevant sections (examples 1 and 2, pages 558-559).
Friday: Page 570, numbers 22 to 27. You may leave your answers as square roots, if you don't have access to a TI or excel.
Homework, week of April 28:
Wednesday night (due Thursday): Line Review! Page 124: Write out Example 1 yourself, and then do problems 2, 4, 6. Page 124: Write out example 2 yourself, and then do problems 14, 16, 18. Page 125: Write out example 3 yourself, and then do problems 28, 30, 32.
Friday night (due Monday, May 2): Page 125: Write out example 4 yourself, and do problems 40, 42, 44. Now draw an XY axis or use graph paper, and graph those three lines.
Homework, week of April 11 – YES, THERE IS AN ASSIGNMENT OVER SPRING BREAK!
- Make up a real-life percentage problem for our weekly banana. (An example might be: Jamia has $50, and gives $10 to Jacqualyn to buy lunch. What percent of her money did Jamia give away? OR Nyree, Alyssa, and Chardae, the fashion triplets, go shopping. They agree to buy matching bracelets that cost $60 in all. With a 7 percent sales tax in DC, what is their total cost?) You can also look in your class assignments or bananas for examples. Call Dr. Rossiter if you need help (375-8212).
- Make up a real-life surface area or volume problem for our weekly banana. (e.g. Charles needs to paint the side of a house, which is in the shape of 12 foot by 8 foot rectangle. For how many square feet do you need to buy paint? OR What is the volume Anthony’s Slim Jim cylinder, with a radius of 3 inches and a height of 5 inches, using 3.14 for Pi?)
- Now solve the percentage problem.
- Now solve the surface area or volume problem.
In the textbook do problem 4 on page 310, problem 6 on page 311, problems 16 and 18 on page 312.
In the textbook do problem 6 on page 313 and problem 1 on page 314. Also, make up just one real-life problem about either percentage, surface area of an entire container, or volume, and solve it.
Homework, week of April 4, 2011 (Week 2, Advisory 4):
Monday: pages 298-99, problems 6 to 11 and 14 to 19. SHOW ALL WORK OR THERE IS NO CREDIT! Use theorems 5.10 and 5.11 at the start of the chapter.
Wednesday: pages 298-299, problems 5, 12, 27, 28 . SHOW ALL WORK OR THERE IS NO CREDIT! Use Theorems 5.12 and 5.13
Friday: The HD Band wants to practice its routines on a football field that is surrounded by a 400 meter running track. Mr. Gilchrist says he needs 8,000 square feet of area to handle the routines he has planned for the band. Let’s see if the football field is big enough in area for the HD band.
First, draw a picture of the track: 100 meter straight-aways ending in 100 meter curves.
The total area will be (1) the rectangle formed by the length (the 100-meter straightaway) and the width (a perpendicular line between the ends of two straight-aways)
PLUS (2) the circle formed by putting together the two semi-circles at the ends. This circle has a circumference of 200 meters, because it is formed from two 100-meter semi-circles.
First, let’s find the diameter, d, of the circle, which is also the width of the rectangle.
The formula for circumference is C = (Pi)*d. So, divide both sides by Pi and rewrite the formula:
d = C/pi
Now substitute 200 feet for C and solve for d. You may say that 200/Pi = 60, since Pi is about 3.
Now, d =
Now multiply that result by 100, to find the area of the rectangle:
Now for the circle’s area. It has diameter 60 feet, so its radius is: _________
Using the formula for the area of a circle, (Pi)r^2, find the area of the circle: ______________ (you may also use Pi= 3, or 3.14 if you prefer).
Now add the area of the circle to the area of the rectangle: ________________
Will this meet Mr. Gilchrist’s requirement for his band practice, or will the HD band have to find another space?___________________
Homework, week of March 28. (Call Dr. Rossiter at 375-8212 if you are stuck! Partial homeworks receive only partial grades, and problems where you do not show your work are graded a zero.)
Monday: Read through Example 1.a. on Page 691 (section 11.5). Now do problem 3 on page 695.
Read through Example 1.b. on Page 691. Now do problem 20 on page 695.
Read through example 3 on page 692. Now do problem 14 on page 695.
What is the area of the bottom of a rectangular milk carton if the length is three inches and the width is 4 inches?
What is the volume of the milk carton if it is 6 inches high?
Wednesday: A basketball arena is built in the shape of a box, or rectangular prism, so it has two identical sides, two identical end panels, and an identical top and bottom. Draw a picture of the arena, and label its length 60 feet, its width 50 feet, and its height 20 feet.
Now calculate the total surface area of the arena, including its floor, in square feet.
Now calculate the volume of the box in cubic inches.
Friday: Rewrite the proof for the area of a triangle being ½ base times height, using new letters for the points. Remember to start with your statement of what you are going to prove, and after you have drawn the figure, to state what the QED moment will be.