Model the parallax situation we did at Houston street last week.  Construct your scale version of the triangle as precisely as possible – use a ruler and angle measurement tool.  The bigger the model, the more accurate it will be.  Use the measurements of this scale model to calculate the actual distance to the “near star” – the person standing at a distance from the baseline.  Use the size of the baseline you used (in meters) to do this calculation.  Show all your steps and describe your reasoning.  The assignment must be done neatly and thoughtfully with a heading and all parts labeled clearly.

Due Next Friday

Click on this link to get to the spreadsheet and add your group’s information.

There are TWO tabs at the bottom of the spreadsheet. The one labeled “measurements” is for your measurements and the one labeled “observations” is for your theories and ideas about the measurements. Do not make comments until after everyone’s data is entered.

See you next Wednesday.

DUE WEDNESDAY

Multi-paths
Find the number of pathways from one corner of each grid to the other. Remember the rules: no extra movement, or backtracking. Move toward “home” and not in circles. The first grid is a 1 x 3 grid. The second is a 3 x 4. Show all your evidence. Are there any patterns you can observe? Is there a method that might work on ANY grid?

Use a graphic model (like the tree-branching) and/or other techniques to answer these problems:

1.  How many different 2-person committees can you form in a class of 5 people? How is this answer different from ₅P₂?

2.  How many different 3-person committees can you form in a class of 5 people?  How is this answer different from ₅P₃?

3.  How many different 4-person committees can you form in a class of 5 people?  How is this answer different from ₅P₄?

4.  How many arrangements get eliminated when order doesn’t matter?  What pattern do you notice?  Can you predict how many would be eliminated in any situation?

Finish calculating your “global village” facts using our school population to represent the world (we have 587 students here at LREI).  Remember to rephrase the number that you find in a way that makes it easy to picture.  For example, if your number is 80 out of 587, you could say, “That’s about the same as the whole fifth and sixth grades.”

Email me your finished answers at achaney@lrei.org