Mathematics For Elementary Teachers With Activities
5th Edition
ISBN: 9780134423401
Author: Sybilla Beckmann
Publisher: PEARSON
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Chapter 11.2, Problem 3P
Drawing on your reading from this section, describe how it could happen that 3 different cathedrals could each claim -rightfully- to be the largest cathedral. Discuss the implications of this kind of situation for teaching students about measurement.
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Q. A: For any set A define the set -A=(y R13x A such that y=-x). Prove that if A c R is non-empty
and bounded then sup(-A) = -inf(A).
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Q. C. Prove that for any irrational number, there exists a sequence of rational numbers (x) converging to .
A
4. Some psychologists contend that the number of facts of a certain type that are remembered after t hours is
given by
f(t)==
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58
58. If f(x)
=
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2xon [0, 10] and n is a positive integer, then there
is some Riemann sum Sthat equals the exact area under the
graph of ƒ from x = Oto x = 10.
59. If the area under the graph of fon [a, b] is equal to both the
left sum L, and the right sum Rfor some positive integer n,
then fis constant on [a, b].
60. If ƒ is a decreasing function on [a, b], then the area under
the graph of fis greater than the left sum Land less than the
right sum R₂, for any positive integer n.
Problems 61 and 62 refer to the following figure showing two
parcels of land along a river:
River
Parcel 2
Parcel 1
h(x)
500 ft
1,000 ft.
Figure for 61 and 62
61. You want to purchase both parcels of land shown in the figure
and make a quick check on their combined area. There is
no equation for the river frontage, so you use the average of
the left and right sums of rectangles covering the area. The
1,000-foot baseline is divided into 10 equal parts. At the
end of each…
Chapter 11 Solutions
Mathematics For Elementary Teachers With Activities
Ch. 11.1 - For each of the following metric units, give...Ch. 11.1 - For each of the following items, state which U.S....Ch. 11.1 - What does it mean to say that a shape has an area...Ch. 11.1 - Discuss why it is easy to give an incorrect...Ch. 11.1 - Discuss: Why is it not completely correct to...Ch. 11.1 - Describe how it could happen that three different...Ch. 11.1 - Pick two ideas or concepts from your reading of...Ch. 11.1 - Visit a store and write down at least 10 different...Ch. 11.2 - Describe one-dimensional, two-dimensional, and...Ch. 11.2 - Describe one-dimensional, two-dimensional, and...
Ch. 11.2 - Drawing on your reading from this section,...Ch. 11.2 - Describe one-dlmenslonal, two-dlmenslonal, and...Ch. 11.2 - The Lazy Daze Pool Club and the Slumber-N-Sunshine...Ch. 11.2 - Suppose there are 2 rectangular pools: One is 30...Ch. 11.2 - Minh says that the rectangle on the left in Flgure...Ch. 11.3 - One source says that the average distance from the...Ch. 11.3 - If an object is described as weighing 6.20 grams,...Ch. 11.3 - Tyra ls calculating the distance from town A to...Ch. 11.3 - John has a paper square that he believes is 100 cm...Ch. 11.3 - Sally has a Plexiglas cube that she believes is...Ch. 11.4 - A recipe calls tor 4 ounces ot chocolate. If you...Ch. 11.4 - A class needs 27 pieces of ribbon, each piece 2...Ch. 11.4 - To convert 24 yards to feet, should you multiply...Ch. 11.4 - To convert 2000 kilometers to meters, should you...Ch. 11.4 - Shauntay used identical plastic bears to measure...Ch. 11.4 - A car is 16 feet, 3 inches long. How long is it in...Ch. 11.4 - The distance between two cities is described as...Ch. 11.4 - In Germany, people often drive 130 kilometers per...Ch. 11.4 - One foot is 12 inches. Does this mean that 1...Ch. 11.4 - A room has a floor area of 48 square yards. What...Ch. 11.4 - One kilometer is 1000 meters. Does this mean that...Ch. 11.4 - One foot is 12 inches. Does this mean that 1 cubic...Ch. 11.4 - How much mulch will you need to cover a...Ch. 11.4 - A classroom has a floor area of 600 square feet....Ch. 11.4 - A house has a floor area of 800 square meters....Ch. 11.4 - A house has a floor area of 250 square meters....Ch. 11.4 - The Smiths will be carpeting a room in their...Ch. 11.4 - One acre is 43,560 square feet. If a square piece...Ch. 11.4 - A construction company has dump trucks that hold...Ch. 11.4 - The following questlon explores why It doesn’t...Ch. 11.4 - A penny is 116 of an inch thick. Suppose you have...Ch. 11.4 - Write 100 zeros on a piece of paper and time how...Ch. 11.4 - For a certain type of rice, about 50 grains till a...Ch. 11.4 - Assuming that 1 gram of gold is worth $30 how much...Ch. 11.4 - Imagine that all the people on earth could stand...Ch. 11.4 - Joey has a toy car that is a 1: 64 scale model of...
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