graphic

Lesson Plans - Grade 7 Math

2-14-2000
1. Problem/Week.....2. HW Def:Ind/dep...3. Drill............
4. P516Permutation..5. .................6. .................

OBJECTIVE: Explore Permutations(13-7A, P516) ACTIVITIES:fact drill and 13-7A NOTES: Model the response form HOMEWORK: Define permutation using complete sentences, correct spelling and at least two different examples. Find a definition for FACTORIAL 

2-15-2000
1. HW Def:Prmttn/n!.2. Drill............3. .................
4. .................5. .................6. .................

OBJECTIVE: Find the number of PERMUTATIONS of a set of objects (17-7, Pp517ff) ACTIVITIES:Fact Drill and evaluate text materials especially FACTORIAL and 0! NOTES: Pay attention to the notation e.g. P(5,3) *Provide alternate assignment/worksheets as needed. [Permutations]graphic HOMEWORK: P601, lesson 13-7, odd
[Interactive Permutations and combinations]graphic 

2-16-2000
1. HW601(13-7)odd...2. Permutation Quiz.3. P521 1&2.........
4. .................5. .................6. .................

OBJECTIVE: Explore combinations(13-8A) ACTIVITIES: Do page 521; Read page 522-524 NOTES: Be sure to emphasize the need to distinguish between PERMUTATIONS and COMBINATIONS. [Combinations]graphic HOMEWORK: Page 524 2 and 3 

2-17-2000
1. HW 524 2 and 3...2. Pp526-528 SG&R...3. .................
4. .................5. .................6. .................

OBJECTIVE: Review ACTIVITIES: Study Guide and Review pages 526 to 528, Do 1-21 and 27. NOTES: 4 day weekend for students. HOMEWORK: No additional; POW only

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.

RUNSUMS, Part 1

We need to start be defining a few terms that we will want to use. A run of numbers is a collection of whole numbers with no gaps in it, such as 2, 3 and 4; but not 5, 6, 8, 9 because 7 is missing and neither is 2, 3, 3 a run because 3 is repeated. Practically all numbers can be written as a SUM OF A RUN (we will not allow a run to start at 0). For example, 9 = 2 + 3 + 4, 10 = 1 + 2 + 3 + 4, 11 = 5 + 6 and we will call them RUNSUMS but there is no run with a sum of 4 or 8 (so 4 and 8 have no runsum). The questions you will need to explore:

  • What is the SMALLEST number that is a sum of a run of THREE numbers?
  • What is the SMALLEST number that is a sum of a run of FOUR numbers?
  • What is the SMALLEST number that is a sum of a run of FIVE numbers?
By spotting the pattern tell me the smallest number which is a sum of a run of ONE HUNDRED consecutive numbers. Here is the hard part, I want to know HOW you know.

Bonus: What is the SMALLEST number that is a sum of a run of "n" numbers?