graphic

Lesson Plans - Grade 8 Math

Grade 8  10-25-1999
1. HW Data Sketch...2. Problem/Week 7...3. Measure Drill....
4. .................5. .................6. .................

Here is the project description/Plan OBJECTIVE: Introduction to scale drawing(9-7 Pp359ff) ACTIVITIES: Introduce proportion as it applies to SCALE. Discuss scale as a FRACTIONAL number. NOTES: Need to model the proportion model a/b = c/d HOMEWORK: P605, lesson 9-7, even number problems 

Grade 8  10-26-1999
1. HW605(9-7)even...2. Conversions......3. .................
4. .................5. .................6. .................

OBJECTIVE: Students will convert from mixed to a standard unit. Students will work with problmes involving standard units. ACTIVITIES: Worksheets which will cover changing various mixed units into a single unit; Worksheet which will deal with operations involving mixed units. NOTES: Mixed units = 6ft9in and similar. HOMEWORK: As per sheet/board 

Grade 8  10-27-1999
1. HW conversions...2. .................3. .................
4. .................5. .................6. .................

OBJECTIVE: Scale preparation by unit conversions; develop scale numbers. ACTIVITIES: Students will convert the units on their scale drawings to one unit (inches) They will then convert them to scale units. NOTES: HOMEWORK: Prepare a table of full size single units and scale units. 

Grade 8  10-28-1999
1. HW Scale Units...2. .................3. .................
4. .................5. .................6. .................

OBJECTIVE: Students will create a scale drawing on a sheet of 9.5x11 paper. ACTIVITIES: Major emphasis on the difference between a sketch and a scale drawing. NOTES: HOMEWORK: Finish the scale drawing (optional, can be done on computer) Be sure to include appropriate units. 

Grade 8  10-29-1999
1. Problem/week 8...2. HW ScaleDrawing..3. .................
4. .................5. .................6. .................

OBJECTIVE: Data collection. ACTIVITIES: Students will translate their sketches/scale drawings into data tables and work on devising a method for data collection for the entire class so each can have a complete set of data. NOTES: HOMEWORK: Individual Data Set.

Problem of the week (check the scoring guide) The problem of the week is due on Friday. Students are to use diagrams, charts, and tables as needed. Explain the process used to solve the problem. Be neat. Last Week's solution...

Volume Experiment - Extra Credit this week!!!

For the problem this week you will need to make a prediction, conduct an experiment, and report your findings.

The following materials will be needed to conduct the experiment; two rectangular sheets of paper, Scotch tape, and fill material such as bird seed, corn flakes, M&M candies or styrofoam pieces.

Take the first sheet of paper and join the top and bottom edges to form a cylinder. The edges should meet exactly with no gaps or overlap. With the second sheet of paper, join the left and right edges to make another cylinder.

Stand both cylinders on a table. Unless you used square paper, one of the cylinders will be tall and narrow, the other will be short and stout. We will refer to the tall cylinder as cylinder A and the short one as cylinder B. Mark each cylinder now to avoid confusion later.

As you compare the two cylinders think about the amount of fill material that will be needed to completely fill each. Will the two cylinders hold exactly the same amount of material? Will cylinder A or cylinder B hold more?

Write down your prediction along with a supporting statement to explain your thinking. Do not proceed with the experiment until you have written your prediction and supporting statement.

The Experiment

Stand cylinder A inside cylinder B on a flat surface. Carefully pour your fill material into cylinder A with out allowing any to flow into cylinder B. Once cylinder A is completely filled think again about the amount each cylinder will hold. Do you want to revise your prediction?

Very slowly lift cylinder A allowing the fill material to move into cylinder B. What happens? Is there enough material to fill cylinder B? Does the material fill cylinder B exactly? Does the fill material overflow?

Reporting your solution

Your solution must include:

  1. your prediction and supporting statement;
  2. details of your experiment;
  3. your conclusion after running the experiment.

Bonus

Using the length and width of your paper, find the volume of each cylinder. Explain how calculating the volume of each container will verify your experiment results. Be sure to include your volume calculations and the difference between the volume of the two cylinders.

You will find formulas you may need in the Dr. Math archives. Look for Geometric Formulas at: http://forum.swarthmore.edu/dr.math/faq/formulas/.