Thursday, October 14, 2013  Understanding Proportions
"Answer, Find and Shade", "Graphitti," and "Unit Rate Practice (back of Lesson 72) are due next Friday, October 18, 2013. Students first received the assignment Monday, October 7th and worked on them after completing the final exam study guide and after taking the final exam on Wednesday. Organized word should be stapled to the back of each handout.
2013.10.07_to_10.18_hw_answer_find_shade_graphitti.pdf  
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2013.10.07_to_10.18_hw_unit_rate_practice.pdf  
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Students were encouraged to use different methods when comparing these fractions: renaming fractions using common denominators, simplifying to unit fractions, comparing percent or decimal values. For each problem, students were instructed to copy the original fractions being compared, then show how the first fraction is either less than, equal to, or greater than the 2nd fraction. Bell Work led into the lesson on proportions.
A proportion is an equation stating that two ratios are equivalent.
The PowerPoint below was used to introduce proportions. Guided notes were provided and will be scanned and posted tomorrow.

2013.10.10_activating_understanding_proportions.ppt  
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Monday, October 14, 2013  Solving Proportions
"Answer, Find and Shade", "Graphitti," and "Unit Rate Practice (back of Lesson 72) are due next Friday, October 18, 2013. Students first received the assignment Monday, October 7th and worked on them after completing the final exam study guide and after taking the final exam on Wednesday. Organized word should be stapled to the back of each handout. Today's Bell Work models the first three questions from "Unit Rate Practice."
After Bell Work, guided notes on proportion were completed (posted below). Students used equivalent fractions or crossproducts to solve proportions, from the worksheet "Solving Proportions p.40." They completed the first two problems on each row, AF, for a total of 12 problems. Any of these 12 problems that weren't completed in class became homework.
2013.10.14_proportion_notes.pdf  
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2013.10.14_worksheet_solving_proportions_word_problems_using_proportions.pdf  
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2013.10.14_solving_proportions_p40_guided_practice.pdf  
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Tuesday, October 15, 2013  Using proportional reasoning to solve problems
Homework  Study measurement facts and work on homework that is due this Friday. Work will be graded for accuracy (30%). Please staple organized work to the back of each worksheet. Please circle answers or use complete sentences to answer each question. Students will have a quiz over measurement facts after fall intersession.
For question 4, find the unit rate for each pack of sodas in order to compare their prices. Nice work Preston and great response, Emily!
***This question is slightly different from homework. On the homework assignment, you have to compare the unit rate of the ounces. To find the total ounces of Dr. Pepper in problem 4, multiply the number of cans by 12 ounces since 12 oz is the amount of soda in each can. 18 cans times 12 oz each is 216 ounces total. To find the price per ounce, divide $6.48 by 216 ounces. This will give you $0.03 per ounce of Dr. Pepper. To find the total ounces of Mountain Dew, multiply 12 cans by 12 oz. You will find there is 144 total ounces of Mtn Dew. To find the unit rate (per ounce) of Mtn Dew, divide $2.88 by 144 and you will find each ounce of Mtn Dew is $0.02. Based on the unit rate per ounce, Mountain Dew is the best value because you would pay $0.01 less per ounce.
***This question is slightly different from homework. On the homework assignment, you have to compare the unit rate of the ounces. To find the total ounces of Dr. Pepper in problem 4, multiply the number of cans by 12 ounces since 12 oz is the amount of soda in each can. 18 cans times 12 oz each is 216 ounces total. To find the price per ounce, divide $6.48 by 216 ounces. This will give you $0.03 per ounce of Dr. Pepper. To find the total ounces of Mountain Dew, multiply 12 cans by 12 oz. You will find there is 144 total ounces of Mtn Dew. To find the unit rate (per ounce) of Mtn Dew, divide $2.88 by 144 and you will find each ounce of Mtn Dew is $0.02. Based on the unit rate per ounce, Mountain Dew is the best value because you would pay $0.01 less per ounce.
For question 5, Jonathan made groups of 20 pages to 30 minutes to find the total time it would take to read the book. Then, he cancelled out the 20 pages Stephanie already read, leaving 90 minutes or 1 hour and 30 minutes to read the remaining 60 pages.

Brycen set up a table to show the relationship.
Zach set up a proportion.
Using proportional realtionships is a great way to organize information and compare or find new relationships.

Question 6 can be accomplished through multiple steps or by setting up a proportion. On the left, you can find out the cost for one bag of chips by dividing $4.98 by 5. Then, you multiply this price per bag (unit price) by 2 to find the cost of 2 bags of chips. On the right, you can set up a proportion and
use cross products. In both situations, you will find that the cost of 2 bags of chips is $1.99. 
After Bell Work, we reviewed remaining classwork/homework problems, A1F2 of "Solving Proportions." Then, we completed the measurement facts sheet. Students should begin studying and memorizing these facts. We will use them the rest of this week with proportions as we convert measurements between the customary and metric systems. We will have a quiz over these facts after fall intersession.
2013.10.15_measurement_facts.pdf  
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For the remainder of class, we began converting measurements in the customary system using "It's Customary!." We will finish this assignment in class tomorrow and begin converting measurements in the metric system.
2013.10.14_to_15_its_customary.pdf  
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Wednesday, October 16, 2013  Measurement Conversions with the Customary System
Homework: "Answer, Find and Shade  Operations with Decimals," "Graphitti," and "Unit Rate Practice" should be completed by Friday. Students first received these tasks Monday, October 7th, and bell work mirrored "Unit Rate Practice." Please staple organized work to the back of each worksheet.
Students who did not finish today's classwork, "It's Customary," should finish it for homework tonight. Completed work will be checked at the start of class. They received guided practice and worked individually or with one or two people of their choice for 35 to 45 minutes (plenty of time to complete 19 conversions). Please study "Measurement Facts" completed Tuesday, October 15th. Be ready for a quiz the week following intersession.
Students who did not finish today's classwork, "It's Customary," should finish it for homework tonight. Completed work will be checked at the start of class. They received guided practice and worked individually or with one or two people of their choice for 35 to 45 minutes (plenty of time to complete 19 conversions). Please study "Measurement Facts" completed Tuesday, October 15th. Be ready for a quiz the week following intersession.
2013.10.07_to_10.18_hw_answer_find_shade_graphitti.pdf  
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2013.10.07_to_10.18_hw_unit_rate_practice.pdf  
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2013.10.15_to_16_its_customary.pdf  
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2013.10.15_measurement_facts_metric.customary.pdf  
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"It's Customary!"
Proportions can also be used to convert measurements. Start with information you know and create ratios with descriptions. The units of measurement should match in the proportion. If you compare inches to feet in the first ratio, the equivalent ratio should compare inches to feet as well. You can see this in the proportions above. "Books to students" is consistent among both ratios in each proportion. Books represent the numerator and students represent the denominator.
Students were encouraged to set up ratios today to organize and solve for missing measurement values. "It's Customary!" should be completed tonight. Problems from this assignment are posted below. We will learn how to convert measurements in the metric system tomorrow.
Students were encouraged to set up ratios today to organize and solve for missing measurement values. "It's Customary!" should be completed tonight. Problems from this assignment are posted below. We will learn how to convert measurements in the metric system tomorrow.
Use equivalent fractions whenever you can and cross products when you need to.

Don't let fractions bog you down. Think about what you would do if the number was whole.

When measurement relationships are not straightforward, do some problem solving to find a true fact. 1 cup equals 8 ounces, so 2 cups equal 16 ounces. 2 cups also equal 1 pint, so 1 pint equals 16 ounces. Drawing pictures might help, too!

Thursday, October 17, 2013  Using Proportional Reasoning to Convert Measurements
"It's Customary" was checked for completion at the start of class. The key is posted below. Due tomorrow: "Answer, Find and Shade  Operations with Decimals," "Graphitti," and "Unit Rate Practice." Students first received these tasks Monday, October 7th, and bell work this week mirrored "Unit Rate Practice." Please staple organized work to the back of each worksheet.
After bell work, we began converting measurements in the metric system using "Metric Mania." To convert to a larger unit, move the decimal to the left or divide. To convert to a smaller unit, move the decimal to the right or multiply. Tomorrow, we will continue to work on this understanding, apply proportions, and use rulers to compare where we can.
2013.10.17_metric_mania_partial_key.pdf  
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Friday, October 18, 2013  Using Proportional Reasoning to Convert Measurements
The following assignments were due today and will be graded in the following categories:
Bell Work October 1017: 20% Practice  completion
Answer, Find and Shade: Basic Operations with Decimals: 30% Progress  completion and accuracy
Graphitti (graphing ordered pairs in quadrant 1): 20% Practice  completion
Unit Rate Practice: 30% Progress  completion and accuracy
Test over measurement conversions is scheduled for Tuesday, October 29, after fall intersession. This will give students a chance to review on Monday after they return.
Bell Work October 1017: 20% Practice  completion
Answer, Find and Shade: Basic Operations with Decimals: 30% Progress  completion and accuracy
Graphitti (graphing ordered pairs in quadrant 1): 20% Practice  completion
Unit Rate Practice: 30% Progress  completion and accuracy
Test over measurement conversions is scheduled for Tuesday, October 29, after fall intersession. This will give students a chance to review on Monday after they return.
Todays' Bell Work :
Question 1  Either strategy works. When creating a proportion, make sure the units of measurement for each ratio are in the same order  money to weeks.
Both rates are equal, which tells you $23,400 is how much Susan earns in a year.

Question 2 requires a little more thinking.
64,000 oz = ____T What is the relationship between ounces and tons? Start with a fact you know. 16 ounces equals 1 pound. Therefore, 64,000 ounces equal 4000 pounds. And since 2000 pounds equal 1 ton, 4,000 pounds equal 2 tons. You can thus conclude that 64,000 ounces equal 2 tons. You can also approach this from the angle of how many ounces equal 1 ton. Once you find that 32000 ounces equal 1 ton, you will find that 64000 ounces equal 2 tons.

After Bell Work, we continued to convert measurements in the metric system using the ladder method with "Metric Mania." The ladder method converts measurements faster than proportions, but either method for solving can be used. Students are expected to understand and use both methods. The graphic organizer that was used for support in some classes is attached below.
2013.10.18_metric_mania_key.pdf  
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2013.10.18_metric_mania_graphic_organizer.pdf  
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3rd period began "Measuring with Metrics" today, but all classes will finish this assignment the Monday we return from fall intersession. Have a wonderful and safe break everyone!!!
2013.10.18_to_28_measuring_with_metrics_activity_15.pdf  
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