Three Types of Estimation 1. Measurement estimation 2. Quantity ...
Three Types of Estimation 1. Measurement estimation 2. Quantity ...
Three Types of Estimation 1. Measurement estimation 2. Quantity ...
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<strong>Three</strong> <strong>Types</strong> <strong>of</strong> <strong>Estimation</strong><strong>1.</strong> <strong>Quantity</strong> <strong>estimation</strong>◦ Approximating the number <strong>of</strong> items in acollection Students in auditorium Jelly beans in <strong>estimation</strong> jar
<strong>Three</strong> <strong>Types</strong> <strong>of</strong> <strong>Estimation</strong><strong>1.</strong> Computational <strong>estimation</strong>◦ Determining a number that is an approximation <strong>of</strong>a computation that you cannot or do not wish todetermine exactly Gas mileage if travel 326mi on 16gal <strong>of</strong> gas
Use real examples <strong>of</strong> <strong>estimation</strong> Use the language <strong>of</strong> <strong>estimation</strong>o About,close, just about, a little more Accept a range <strong>of</strong> <strong>estimation</strong>s Focus on flexible methods, not answers Ask for information, not answers
<strong>1.</strong> Generalizations from arithmetic and frompatterns in all <strong>of</strong> mathematics<strong>2.</strong> Meaningful use <strong>of</strong> symbols3. Study <strong>of</strong> structure in the number system4. Study <strong>of</strong> Patterns & Functions5. Process <strong>of</strong> mathematical modeling(integrating 1-4)
<strong>1.</strong> Generalizations from arithmetic and frompatterns in all <strong>of</strong> mathematics<strong>2.</strong> Broken Calculator activity:If you cannot use any even keys(0,2,4,6,8)can you create an even number in thecalculator display? An odd number? How?If you cannot use any odd keys(1,3,5,7,9)can you create an odd number in thecalculator display? An even number? How?
The meaning <strong>of</strong> the equal sign— conceptualizing the equal sign as abalance— true/false and open sentences— relational thinking The meaning <strong>of</strong> variables— variables used as unknown values— simplifying expressions and equations— variables used as quantities that vary
Transitioning word problems intographical representations. Combinations and Patterns:◦ You see a display <strong>of</strong> Bears and ducks atthe museum. You count a total <strong>of</strong> 10heads and 32 legs. How many bears doyou see? Show and explain HOW youapproached this problem (diagrams,equations, tables, etc.)
a) The temperature <strong>of</strong> a frozen dinner from 30 minutesbefore it is removed from the freezer until it isremoved from the microwave and placed on the table(Consider time 0 to be the moment the dinner isremoved from the freezerb) The value <strong>of</strong> a 1970 Volkswagon Beetle from the timeit was purchased to the present. (It was kept by aloving owner and is in top condition)c) Pr<strong>of</strong>it in terms <strong>of</strong> number <strong>of</strong> items soldd) The height <strong>of</strong> a baseball from when it is thrown to thetime it hits the grounde) The speed <strong>of</strong> the baseball in part d.f) The level <strong>of</strong> the water in the bathtub from the timeyou begin to fill it to the time it is completely emptyafter your bath
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