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Oberto-Magorian -- Middle School Academics / Hat Trick
« Last post by StoryGod on January 02, 2020, 01:04:47 pm »This was the afternoon, Corianne waited for. She didn't care what, that asshole -- and she really was an asshole -- Suri said. Converting unites and measurements was important. Albina, the Suite Advisor, had driven the point home Sunday night at a tutoring session when she discussed baking a cake. In social studies, also an afternoon class, Corianne and Tikvah were both working on elevation on topographic maps which Corianne was aware could be measured in either feet or meters. One needed to convert metric to English and vice versa, and Fahrenheit to Celsius and also vice versa, and that was just the beginning. The next lesson in the geography unit (Corianne had flipped ahead in her coursepack.) was map scale converting inches to feet, yards, or miles or for that matter meters and kilometers. In short, unit conversion was everywhere.
Density was another matter. It was weight (mass) over volume, and it was why a cup of sugar weighted an ounce less than a cup of water. Corianne wondered if there was any way to tell what materials were more dense than others without having to just look it up. She guessed she really wanted to know why. She mused on this while heading into science class.
The teacher, Ms. Busch, began what was her third class of the day segwaying from unit conversion into density. Corianne thought again about last night's tutoring session. The teacher did an interesting job clarifying the difference between mass and weight. Mass was tied to force exerted on a scale, and weight was just what a scale read. Then she had the students try some problems in groups and individually.
Finally, she asked if there were any questions. Corianne raised her hand. "Is there any way to figure out what items are more or less dense than others without putting them on a scale?" she asked.
"What do you mean?" asked Ms. Busch.
"Well my Suite Advisor had to look up how many ounces are in a cup of sugar, but suppose I had molasses. Is there some way I could figure out if molasses is more or less dense than water."
"There are ways to predict that. They are a bit advanced for this class, but basically density has to do with what elements are in a substance. For example, lead is more dense than water, and also how far apart the molecules in that substance are. For example, ice cubes which are the same formula as water, can float on water.
"Now I have a question for you Corianne. You have a chunk of bitter baking chocolate. How do you figure out how many ounces or grams are in a cup. "
Corianne blinked. "This is not fair!" she thought. Then she pushed the thought aside. She was glad Suri was on Team One, but Tikvah was here. You could measure the piece of chocolate and then weight it. You'd have ounces per cubic inch and then figure out how many cubic inches is in two ounces or how many cubic inches are in a cup. cc's and grams would be easier."
"And is there another way to get to the density of chocolate that doesn't involve converting cups into cubic inches. Say you are cooking and don't have a ruler in the kitchen."
Corianne blinked and thought of one of her housemates measuring brown sugar. "You could grind up the piece of chocolate and weigh it, and then put it in the measuring cup but really press it down so there are no air spaces between the grains of powdered chocolate. That would be like measuring cocoa. You could get the net weight and have the volume. It might work."
"More or less... There will still be some air spaces you won't get rid of, but that is true for any powder." Just then the bell rang. Corianne realized her palms were sweaty. Next came social studies, which these days was geography. Corianne got the concepts of scaling and converting units for altitude. Last was Team Project. This was word problems for the kids in enrichment math and coloring sheets or those in the weakest math. They had a whole mural to do, which Corianne envied. For those in the middle there was review of fractions and decimals.
Corianne and Tikvah found a spot at one of the seminar tables in her homeroom with the English teacher and began to work word problems that reminded her of science and geography questions. Corianne's mother said that when all the school courses worked together, this was coherence. "It looks like you are going to get a really fantastic education," Corianne's mother said. Those words made Corianne feel confident and warm. She wondered how well she was catching on to her problems. She hadn't found unit conversion easy, and word problems while way more interesting than work sheets were also fairly tricky.
Density was another matter. It was weight (mass) over volume, and it was why a cup of sugar weighted an ounce less than a cup of water. Corianne wondered if there was any way to tell what materials were more dense than others without having to just look it up. She guessed she really wanted to know why. She mused on this while heading into science class.
The teacher, Ms. Busch, began what was her third class of the day segwaying from unit conversion into density. Corianne thought again about last night's tutoring session. The teacher did an interesting job clarifying the difference between mass and weight. Mass was tied to force exerted on a scale, and weight was just what a scale read. Then she had the students try some problems in groups and individually.
Finally, she asked if there were any questions. Corianne raised her hand. "Is there any way to figure out what items are more or less dense than others without putting them on a scale?" she asked.
"What do you mean?" asked Ms. Busch.
"Well my Suite Advisor had to look up how many ounces are in a cup of sugar, but suppose I had molasses. Is there some way I could figure out if molasses is more or less dense than water."
"There are ways to predict that. They are a bit advanced for this class, but basically density has to do with what elements are in a substance. For example, lead is more dense than water, and also how far apart the molecules in that substance are. For example, ice cubes which are the same formula as water, can float on water.
"Now I have a question for you Corianne. You have a chunk of bitter baking chocolate. How do you figure out how many ounces or grams are in a cup. "
Corianne blinked. "This is not fair!" she thought. Then she pushed the thought aside. She was glad Suri was on Team One, but Tikvah was here. You could measure the piece of chocolate and then weight it. You'd have ounces per cubic inch and then figure out how many cubic inches is in two ounces or how many cubic inches are in a cup. cc's and grams would be easier."
"And is there another way to get to the density of chocolate that doesn't involve converting cups into cubic inches. Say you are cooking and don't have a ruler in the kitchen."
Corianne blinked and thought of one of her housemates measuring brown sugar. "You could grind up the piece of chocolate and weigh it, and then put it in the measuring cup but really press it down so there are no air spaces between the grains of powdered chocolate. That would be like measuring cocoa. You could get the net weight and have the volume. It might work."
"More or less... There will still be some air spaces you won't get rid of, but that is true for any powder." Just then the bell rang. Corianne realized her palms were sweaty. Next came social studies, which these days was geography. Corianne got the concepts of scaling and converting units for altitude. Last was Team Project. This was word problems for the kids in enrichment math and coloring sheets or those in the weakest math. They had a whole mural to do, which Corianne envied. For those in the middle there was review of fractions and decimals.
Corianne and Tikvah found a spot at one of the seminar tables in her homeroom with the English teacher and began to work word problems that reminded her of science and geography questions. Corianne's mother said that when all the school courses worked together, this was coherence. "It looks like you are going to get a really fantastic education," Corianne's mother said. Those words made Corianne feel confident and warm. She wondered how well she was catching on to her problems. She hadn't found unit conversion easy, and word problems while way more interesting than work sheets were also fairly tricky.


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