Lesson Plans - Grade 8 Math

2-28-2000
1. HW Fair/Unfair...2. Problem/Week a...3. Problem/Week b...
4. P502-3(13-1A)....5. .................6. .................

OBJECTIVE: Discover how to determine whether a game is fair or unfair. (13-1A, P502-503) ACTIVITIES: Do cooperative learning exercise, 1-13. NOTES: HOMEWORK: Describe lab results

2-29-2000
1. HW Lab Results...2. .................3. .................
4. .................5. .................6. .................

OBJECTIVE: Count outcomes using a tree diagram or the Fundamental Counting Principal(13-1, Pp504ff) ACTIVITIES: Present OUTCOME TREE-DIAGRAM FUNDAMENTAL-COUNTING-PRINCIPAL model/practice each. NOTES: HOMEWORK: P506, 7,8 & 9

3-1-2000
1. HWP506 7, 8 & 9..2. .................3. .................
4. .................5. .................6. .................

OBJECTIVE: Find the number of PERMUTATIONS of an object (13-2, Pp507ff) ACTIVITIES: Define PERMUTATIONS FACTORIAL Model/describe the meaning of permutations and how to calculate then. Place the emphasis on the ARRANGEMENT of the items. NOTES: HOMEWORK: P614(13-2) 1-5
[Permutations] [Interactive Permutations and combinations] [Combinations]

3-2-2000
1. HWP614(13-2)1-5..2. P614(13-2)11-22..3. .................
4. .................5. .................6. .................

OBJECTIVE: Find the number of PERMUTATIONS of an object (13-2, Pp507ff); Find the number of combinations of objects (13-3, Pp512ff) ACTIVITIES: With partners/groups or as appropriate, do the remainder of the exercise 13-2 on page 614. Introduction to combinations from text. Emphasis on difference between permutations and combinations. NOTES: Consider items such as whether items can be repeated or left out - e.g., phone numbers - how do you calculate without the intial 0 in tthe prefix? HOMEWORK: P509 26-30

3-3-2000
1. HW509 26-30......2. .................3. .................
4. .................5. .................6. .................

OBJECTIVE: Find the number of combinations of objects (13-3, Pp512ff)continued. ACTIVITIES: Work through text problems in groups and/or with partners. Emphasis on differences between permutations and combintions - relate to probability. NOTES: HOMEWORK: Page 515 Mini-Lab Read 515 first! Problem of the Week due on March 6. Answers only = no credit.
[Print out this form for the Pascal's Triangle]

Problem of the week (check the scoring guide) The problem of the week is due next Monday. Students are to use diagrams, charts, and tables as needed. Explain the process used to solve the problem. Be neat.

WP8-9
Pencil and Paper Probability

Answers only = NO CREDIT

Use a ruler or straightedge. Draw a set of parallel lines on a large sheet of paper, spacing them exactly as far apart as the length of your pen r pencil.
If you were to drop your pencil from a height of about two feet onto this sheet of paper, what do you think your probability would be of its touching a line when it comes to rest? Write down your initial estimate, and explain your decision. Then experiment at least 100 times, and check the resulting probability with your initial estimate. How close are they? What is the probability based on your results? Is it close to 2/pi? If so, why would this be the case?
Do you think the probability will decrease or increase if the object you drop in larger then a pen or pencil? What about Smaller? Estimate, explain, and then check your estimates by experimenting some more. Finally, what happens to the probability as you do more and more experiments? How many experiments would you have to do before the probability reached 2/pi?
This is a two-credit assignment.