5.4+Comparing+the+Dakotas+-+0910

1-10-10 SB 5.4 Comparing the Dakota's


 * Big Idea: Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them. **

  Notes: Delhi's population density is 11,643 people/sq  k m India's population density is 357.054 people/sq  km  Problem 5.4 South Dakota has a higher population density with 9.49 people/mi sq while North Dakota has 9.24 people/mi sq. About 9164 people would have to move from South Dakota to North Dakota for them both to have a population density of 9.38 (which is my target). I got this by finding the average population density then I multiplied the area of North Dakota by 9.38 which got me 647163.72. Then I subtracted that from 638,000. Target: __647164=135900__ <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;"> <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;"> 68994=14489mi sq <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;"> = <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;">Target: 9.38/mi sq = 9.38/mi sq <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi; msoasciithemefont: major-bidi; msobidilanguage: BN-BD; msobidithemefont: major-bidi; msofareastfontfamily: 'Times New Roman'; msofontkerning: 18.0pt; msohansithemefont: major-bidi; msospacerun: yes;"> **<span style="font-family: 'Times New Roman','serif'; font-size: 10pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;">9.379 9.381 **<span style="font-family: 'Times New Roman','serif'; font-size: 10pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;"> <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi; msoasciithemefont: major-bidi; msobidilanguage: BN-BD; msobidithemefont: major-bidi; msofareastfontfamily: 'Times New Roman'; msofontkerning: 18.0pt; msohansithemefont: major-bidi; msospacerun: yes;"> <span style="font-family: Vrinda; font-size: 12pt; mso-ascii-font-family: 'Times New Roman'; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-font-family: 'Times New Roman'; mso-hansi-theme-font: major-bidi; msoasciifontfamily: 'Times New Roman'; msoasciithemefont: major-bidi; msobidilanguage: BN-BD; msofareastfontfamily: 'Times New Roman'; msofontkerning: 18.0pt; msohansifontfamily: 'Times New Roman'; msohansithemefont: major-bidi; msotabcount: 1;"> <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;"> <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;">Follow Up <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;">In India our population density is 357.054/km squared but in Delhi it’s 11,463/km sq. It is quite suprising that India’s population density is about 38 times that of either North or South Dakota. It is suprising because India is so much bigger that both Dakota’s combined. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;"> <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;">
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-hansi-theme-font: major-bidi;">Essential Question: //What methods are there for comparing things?// **<span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-hansi-theme-font: major-bidi;">
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: major-bidi; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi; msoasciithemefont: major-bidi; msobidilanguage: BN-BD; msobidithemefont: major-bidi; msofareastfontfamily: 'Times New Roman'; msofareastthemefont: major-bidi; msofontkerning: 18.0pt; msohansithemefont: major-bidi; msolist: Ignore;">A. ****<span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;">Which state, South Dakota or North Dakota, has the greater population density? **<span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;">
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: major-bidi; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi; msoasciithemefont: major-bidi; msobidilanguage: BN-BD; msobidithemefont: major-bidi; msofareastfontfamily: 'Times New Roman'; msofareastthemefont: major-bidi; msofontkerning: 18.0pt; msohansithemefont: major-bidi; msolist: Ignore;">B. ****<span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;">How many citizens of one state would have would have to move to the other state to make the population densities in the two states equal? Explin how you arrived at your answer? **<span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;">
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;">Find the population density of your state/country. How does it compare to the population densities of North and South Dakota? **<span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ascii-theme-font: major-bidi; mso-bidi-language: BN-BD; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 18.0pt; mso-hansi-theme-font: major-bidi;">


 * How do I complete our wiki assignment?**

**Type your text into a document first**, keep tables, graphs and images as separate image files (screen-shots work best). If you are using another document (graph image, digital drawing) please don't make us download it to see it, upload the image to the page instead.

There are two purposes for the wiki. One, to give all students experience and practice using technology to display their ideas. Second, to assist those not present in class to give them a sense and concrete examples of what has happened in class on the day of the lesson. Keep these goals in mind as you check your work.Your page should include all of the following information, and anything else that you would like to improve the appearance of your page.
 * Today's Date
 * Your Initials
 * Big Idea:
 * Essential Question:
 * Notes from Class:

Notes should summarize the class. Be sure to include the following: ||
 * Any new vocabulary and definition(s)
 * Any examples from the white board
 * Methods and strategies discussed in class
 * Your own questions
 * Problem set with **copi****ed questions (in bold text)** and complete answers (in normal text), be sure to number your work. Show your work/thinking and include **__at least one__** uploaded diagram or image.
 * [[image:math7c-2008:EJC_Square.png align="center"]]