graphic

Lesson Plans - Grade 8 Math

2-14-2000
1. Problem/Week.....2. HW Drill Sheet...3. Drill............
4. .................5. .................6. .................

OBJECTIVE: Find the areas of triangles and trapezoids (7-7, Pp278ff) ACTIVITIES:Review the necessary information for problem 34 on page 264. Review the procedure for using formulas - 10 write the formula, 2) substitute the values 3) simplify 4) use appropriate units if necessary. Review the previous formulas. NOTES: Use graph paper to make models of the formulas for parallelogram, triangle and trapezoid. HOMEWORK: Redo page 264 #34 a&b if not previously scored at 99.

Area Formula Graphic 
2-15-2000
1. HW P264 #34a&b...2. Construct Models.3. Drill............
4. .................5. .................6. .................

OBJECTIVE:Find the areas of triangles and trapezoids (7-7, Pp278ff) ACTIVITIES: Finish models. Start on homework using the format specified in the text. Problems with fractions are to be solved as fractions. All fraction steps in the set up must be shown, especially CHANGING ALL NUMBERS TO FRACTIONS. NOTES: HOMEWORK: P280 15, 16, 18, 19; P281 22, 30, 37 

2-16-2000
1. HW 280/281 var...2. P282&283 #6a&b...3. .................
4. .................5. .................6. .................

OBJECTIVE: Connect algebra and geometry to find the area of a triangle (Pick's Theorem) (7-7B, Pp282 and 283) ACTIVITIES: Do the exercise on page 282 INDEPENDENTLY. NOTES: Distribute dot or graph paper as available. [Pick's Theorem]graphic HOMEWORK: P284 minilab. 

2-17-2000
1. HW P284 Mini-Lab.2. Data Analysis PI.3. .................
4. .................5. .................6. .................

OBJECTIVE: Determine a value for pi from analysis of the mini-lab data. ACTIVITIES: Students with homework information. Alternate Fraction worksheet for the non-participants 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?