A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
13th Edition
ISBN: 9780135183885
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott, Barbara Boschmans
Publisher: PEARSON
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Concept explainers

Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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Chapter 13.1, Problem 10MC

A student asks why 22 7 cannot always be used as the value of π . How do you respond?

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Assume {u1, U2, u3, u4} does not span R³. Select the best statement. A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set. B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³. C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set. D. {u1, U2, u3} cannot span R³. E. {U1, U2, u3} spans R³ if u̸4 is the zero vector. F. none of the above
Select the best statement. A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors are distinct. n B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0 excluded spans Rª. ○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n vectors. ○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors spans Rn. E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn. F. none of the above
Assume {u1, U2, u3, u4} does not span R³. Select the best statement. A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set. B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³. C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set. D. {u1, U2, u3} cannot span R³. E. {U1, U2, u3} spans R³ if u̸4 is the zero vector. F. none of the above

Chapter 13 Solutions

A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)

Ch. 13.1 - In track, the second lane from the inside of the...Ch. 13.1 - Observe that it is possible to build a triangle...Ch. 13.1 - A student asks why 227 cannot always be used as...Ch. 13.1 - A Student imagines a wire stretched around Earth....Ch. 13.1 - Prob. 12MCCh. 13.1 - Which of these units would be the best to use to...Ch. 13.1 - If Freds rope is 12 inches long, about how long is...Ch. 13.1 - The circumference of a circular piece of wood is...Ch. 13.1A - Use the following picture of a ruler to find each...Ch. 13.1A - Prob. 2A
Ch. 13.1A - Complete each of the following. a. 100 in....Ch. 13.1A - Prob. 4ACh. 13.1A - Estimate the length of the following segment and...Ch. 13.1A - Prob. 6ACh. 13.1A - Repeat exercise 6 using English measures. 6....Ch. 13.1A - Prob. 8ACh. 13.1A - Prob. 9ACh. 13.1A - Prob. 10ACh. 13.1A - List the following in decreasing order: 8 cm,...Ch. 13.1A - Prob. 12ACh. 13.1A - a. What is the length of a semicircle of a circle...Ch. 13.1A - Prob. 14ACh. 13.1A - Complete each of the following. a. 10 mm =______cm...Ch. 13.1A - Prob. 16ACh. 13.1A - Can the following be the lengths of the sides of a...Ch. 13.1A - Prob. 18ACh. 13.1A - Take an 81211-in. piece of paper, fold it as shown...Ch. 13.1A - Prob. 20ACh. 13.1A - What happens to the circumference of a circle if...Ch. 13.1A - Prob. 22ACh. 13.1A - Prob. 23ACh. 13.1A - Prob. 24ACh. 13.1A - Prob. 25ACh. 13.1A - Prob. 26ACh. 13.1A - Suppose you have three concentric circles and are...Ch. 13.1B - Use the following picture of ruler to find each of...Ch. 13.1B - Estimate and then measure each of the following in...Ch. 13.1B - Convert each of the following to the indicated...Ch. 13.1B - Prob. 5ACh. 13.1B - Prob. 6ACh. 13.1B - Prob. 7ACh. 13.1B - Prob. 8ACh. 13.1B - If eggs were sold in the United States using...Ch. 13.1B - List the following in decreasing order:...Ch. 13.1B - Draw each of the following as accurately as...Ch. 13.1B - The following figure is a circle whose radius is 2...Ch. 13.1B - Prob. 14ACh. 13.1B - Complete each of the following conversions. a. 35...Ch. 13.1B - Prob. 16ACh. 13.1B - Can the following be the lengths of the sides of a...Ch. 13.1B - Prob. 18ACh. 13.1B - Prob. 20ACh. 13.1B - For each of the following, if a circle has the...Ch. 13.1B - Prob. 22ACh. 13.1B - Astronomers use a light-year to measure distance....Ch. 13.1B - Give the greatest possible error for each of the...Ch. 13.1B - a. Find the length of a 48 arc of a circle whose...Ch. 13.1B - Find the radius of the circle containing 60 arc...Ch. 13.1B - Prob. 27ACh. 13.2 - The three midsegments of a triangle divide it into...Ch. 13.2 - Prob. 2MCCh. 13.2 - Prob. 3MCCh. 13.2 - Prob. 4MCCh. 13.2 - Prob. 5MCCh. 13.2 - Prob. 6MCCh. 13.2 - Prob. 7MCCh. 13.2 - Prob. 8MCCh. 13.2 - Prob. 9MCCh. 13.2 - a. A sector in circle with center O and radius 10...Ch. 13.2 - In the following right triangle, AB=10,AC=6,CB=8 ....Ch. 13.2 - Prob. 13MCCh. 13.2 - Prob. 14MCCh. 13.2 - Prob. 15MCCh. 13.2 - Prob. 16MCCh. 13.2 - Prob. 17MCCh. 13.2 - Prob. 18MCCh. 13.2 - Ori claims that to find the area of a...Ch. 13.2 - Prob. 20MCCh. 13.2 - In Figure 29, we found the area of a kite using...Ch. 13.2 - Prob. 22MCCh. 13.2 - Prob. 23MCCh. 13.2 - Prob. 25MCCh. 13.2 - Prob. 26MCCh. 13.2 - Prob. 27MCCh. 13.2 - Prob. 28MCCh. 13.2 - Prob. 29MCCh. 13.2 - Prob. 1NAEPCh. 13.2 - Which figure has the greatest area? A. A B. BC....Ch. 13.2 - Prob. 3NAEPCh. 13.2 - Prob. 4NAEPCh. 13.2 - On the scale drawing above, the shaded area...Ch. 13.2A - Choose the most appropriate metric unit cm2, m2 or...Ch. 13.2A - Estimate and then measure the area of the each of...Ch. 13.2A - Prob. 4ACh. 13.2A - Complete the following conversions a. 4000ft2=yd2...Ch. 13.2A - Find the area of each of the following figures if...Ch. 13.2A - Complete each of the following sentences a. A...Ch. 13.2A - Prob. 8ACh. 13.2A - Prob. 9ACh. 13.2A - Prob. 10ACh. 13.2A - Find the area of each of the following...Ch. 13.2A - a. A rectangular piece of land is 1300m1500m i....Ch. 13.2A - Prob. 13ACh. 13.2A - Prob. 14ACh. 13.2A - Find the cost of carpeting the following rectangle...Ch. 13.2A - Prob. 16ACh. 13.2A - Joe uses stick on square carpet tiles to cover his...Ch. 13.2A - Prob. 18ACh. 13.2A - Prob. 19ACh. 13.2A - Prob. 20ACh. 13.2A - Prob. 21ACh. 13.2A - Prob. 22ACh. 13.2A - Prob. 23ACh. 13.2A - Prob. 24ACh. 13.2A - Prob. 25ACh. 13.2A - Prob. 26ACh. 13.2A - Prob. 27ACh. 13.2A - Prob. 28ACh. 13.2A - Prob. 29ACh. 13.2A - Prob. 30ACh. 13.2A - Prob. 31ACh. 13.2A - Prob. 32ACh. 13.2A - Prob. 33ACh. 13.2A - Prob. 34ACh. 13.2A - Prob. 35ACh. 13.2B - Choose the most appropriate metric unit cm2, m2 or...Ch. 13.2B - Prob. 3ACh. 13.2B - Complete the following conversion table m2 cm2 mm2...Ch. 13.2B - Complete the following conversions a. 99ft2=yd2 b....Ch. 13.2B - Find the areas of each of the following figures if...Ch. 13.2B - Prob. 7ACh. 13.2B - Find the area of ABC in each of the following...Ch. 13.2B - a. If triangle ABC is similar to triangle DEF and...Ch. 13.2B - Find the area of each of the following...Ch. 13.2B - a. A rectangular piece of land is 1.2km by 900m i....Ch. 13.2B - a. If the area of a rectangle remains constant but...Ch. 13.2B - Prob. 14ACh. 13.2B - Prob. 15ACh. 13.2B - Prob. 16ACh. 13.2B - Prob. 17ACh. 13.2B - Prob. 18ACh. 13.2B - Prob. 19ACh. 13.2B - Prob. 21ACh. 13.2B - If the area of a square is 169in2, what is its...Ch. 13.2B - Prob. 23ACh. 13.2B - Prob. 24ACh. 13.2B - Prob. 25ACh. 13.2B - Prob. 26ACh. 13.2B - A store has wrapping paper on sale, One packed is...Ch. 13.2B - Prob. 28ACh. 13.2B - Prob. 29ACh. 13.2B - Prob. 30ACh. 13.2B - Prob. 31ACh. 13.2B - Prob. 32ACh. 13.2B - Prob. 33ACh. 13.2B - Prob. 34ACh. 13.2B - Prob. 35ACh. 13.2B - Prob. 36ACh. 13.2B - What is the length of the side of a square with...Ch. 13.2B - Prob. 38ACh. 13.3 - Mathematical Connections Given a square, describe...Ch. 13.3 - Prob. 2MCCh. 13.3 - Mathematical Connections The sum of the squares of...Ch. 13.3 - Mathematical Connections Explain how to construct...Ch. 13.3 - Mathematical Connections A Pythagorean triple is a...Ch. 13.3 - Mathematical Connections Explain how to adapt the...Ch. 13.3 - Mathematical Connections In the figure shown,...Ch. 13.3 - Mathematical Connections Find the area of ABC if...Ch. 13.3 - Mathematical Connections The height of an...Ch. 13.3 - Mathematical Connections Two concentric circles...Ch. 13.3 - Mathematical Connections Find the distance between...Ch. 13.3 - Mathematical Connections Construct two squares of...Ch. 13.3 - Prob. 13MCCh. 13.3 - Prob. 17MCCh. 13.3 - MATHEMATICAL CONNECTIONS One leg of a right...Ch. 13.3 - Prob. 19MCCh. 13.3 - Prob. 20MCCh. 13.3 - Prob. 21MCCh. 13.3 - Prob. 22MCCh. 13.3 - Prob. 24MCCh. 13.3 - Prob. 25MCCh. 13.3 - Prob. 26MCCh. 13.3 - Prob. 27MCCh. 13.3 - Prob. 29MCCh. 13.3 - National Assessment of Educational ProgressNAEP...Ch. 13.3 - Prob. 2NAEPCh. 13.3A - Prob. 1ACh. 13.3A - Prob. 2ACh. 13.3A - Prob. 3ACh. 13.3A - If the hypotenuse of a right is 30 cm long and one...Ch. 13.3A - For each of the following, determine whether the...Ch. 13.3A - Prob. 8ACh. 13.3A - Prob. 9ACh. 13.3A - Prob. 10ACh. 13.3A - Prob. 11ACh. 13.3A - Find the area of each of the following figuresCh. 13.3A - Find the area of each rhombus given below.Ch. 13.3A - Prob. 14ACh. 13.3A - A company wants to lay a string of buoys across a...Ch. 13.3A - Prob. 17ACh. 13.3A - Prob. 18ACh. 13.3A - Prob. 19ACh. 13.3A - Prob. 20ACh. 13.3A - If the length of the hypotenuse in a 306090...Ch. 13.3A - Prob. 22ACh. 13.3A - Prob. 23ACh. 13.3A - Prob. 24ACh. 13.3A - A boat starts at point A, moves 3 km due north,...Ch. 13.3A - Prob. 26ACh. 13.3A - The diagonals of a rhombus are 8 in. and 12 in....Ch. 13.3A - Prob. 28ACh. 13.3B - Prob. 1ACh. 13.3B - Prob. 2ACh. 13.3B - Prob. 3ACh. 13.3B - Prob. 5ACh. 13.3B - Prob. 6ACh. 13.3B - For each of the following, determine whether the...Ch. 13.3B - Prob. 8ACh. 13.3B - Prob. 9ACh. 13.3B - Prob. 10ACh. 13.3B - Prob. 11ACh. 13.3B - Prob. 12ACh. 13.3B - Prob. 13ACh. 13.3B - Prob. 14ACh. 13.3B - On a baseball field 90-ft square if a player...Ch. 13.3B - Prob. 16ACh. 13.3B - Prob. 17ACh. 13.3B - Prob. 18ACh. 13.3B - Prob. 19ACh. 13.3B - Prob. 20ACh. 13.3B - Prob. 21ACh. 13.3B - Prob. 22ACh. 13.3B - Prob. 23ACh. 13.3B - Prob. 24ACh. 13.3B - Prob. 25ACh. 13.3B - Prob. 26ACh. 13.3B - Prob. 27ACh. 13.3B - Prob. 28ACh. 13.3B - Prob. 29ACh. 13.3B - Prob. 30ACh. 13.4 - Tennis balls are packed tightly three to a can...Ch. 13.4 - Prob. 2MCCh. 13.4 - In the drawing below, cube B was cut from a larger...Ch. 13.4 - Prob. 4MCCh. 13.4 - Prob. 5MCCh. 13.4 - Prob. 6MCCh. 13.4 - Prob. 7MCCh. 13.4 - Prob. 8MCCh. 13.4 - Prob. 9MCCh. 13.4 - A student wonders if she triples each measurement...Ch. 13.4 - Prob. 12MCCh. 13.4 - Abi used the formula SA=r(r+l), where r is the...Ch. 13.4 - Prob. 14MCCh. 13.4 - Prob. 15MCCh. 13.4 - Prob. 16MCCh. 13.4 - Prob. 17MCCh. 13.4 - Prob. 18MCCh. 13.4 - Find the perimeters and the areas of the following...Ch. 13.4 - In the following, the length of the diagonal AC of...Ch. 13.4 - Find the length of the diagonal of a cube whose...Ch. 13.4 - Prob. 22MCCh. 13.4 - Convert the following measures. a. 150m=km b....Ch. 13.4 - Which of the following can be folded to form the...Ch. 13.4A - Which of the following nets could be folded along...Ch. 13.4A - Find the surface area of each of the following...Ch. 13.4A - How many litres of paint must you buy to paint the...Ch. 13.4A - Prob. 4ACh. 13.4A - Assume the radius of Earth is 6370 km and Earth is...Ch. 13.4A - Prob. 6ACh. 13.4A - Prob. 7ACh. 13.4A - Prob. 8ACh. 13.4A - The top of a right rectangular box has an area of...Ch. 13.4A - How does the lateral surface area of a right...Ch. 13.4A - Prob. 11ACh. 13.4A - The sector shown is rolled into cone shape so that...Ch. 13.4A - Prob. 13ACh. 13.4A - Prob. 14ACh. 13.4A - If two right circular cones are similar with radii...Ch. 13.4A - Prob. 16ACh. 13.4A - Prob. 17ACh. 13.4A - Prob. 18ACh. 13.4A - Prob. 19ACh. 13.4A - Prob. 20ACh. 13.4A - Prob. 21ACh. 13.4B - Prob. 1ACh. 13.4B - Prob. 2ACh. 13.4B - Prob. 3ACh. 13.4B - Prob. 4ACh. 13.4B - Prob. 5ACh. 13.4B - Prob. 6ACh. 13.4B - Prob. 7ACh. 13.4B - Prob. 8ACh. 13.4B - Prob. 10ACh. 13.4B - Prob. 11ACh. 13.4B - Prob. 13ACh. 13.4B - Prob. 14ACh. 13.4B - If two right cones are similar with radii of the...Ch. 13.4B - Prob. 16ACh. 13.4B - Prob. 17ACh. 13.4B - Prob. 18ACh. 13.4B - In the figure shown, a right circular cylinder is...Ch. 13.4B - Prob. 20ACh. 13.5 - a. Which will increase the volume of a right...Ch. 13.5 - Explain how you would find the volume of an...Ch. 13.5 - Read the following problems i and ii: i. A tank in...Ch. 13.5 - A furniture company gives an estimate for moving...Ch. 13.5 - A cylinder, a cone, and a sphere have the same...Ch. 13.5 - Two stacks of pennies shown are of the same...Ch. 13.5 - Prob. 7MCCh. 13.5 - A diagonal of a cube that is not the diagonal of a...Ch. 13.5 - Prob. 9MCCh. 13.5 - A right circular cylinder has a 4-in. diameter, is...Ch. 13.5 - Prob. 11MCCh. 13.5 - Explore Internet sources to determine if it is...Ch. 13.5 - A student asks whether the volume of a cube can...Ch. 13.5 - Prob. 15MCCh. 13.5 - Prob. 16MCCh. 13.5 - Prob. 17MCCh. 13.5 - Prob. 18MCCh. 13.5 - Prob. 19MCCh. 13.5 - Find the perimeter and area of the following...Ch. 13.5 - Prob. 21MCCh. 13.5 - Prob. 22MCCh. 13.5 - Prob. 23MCCh. 13.5 - Prob. 24MCCh. 13.5 - Prob. 25MCCh. 13.5 - Prob. 1NAEPCh. 13.5 - Prob. 2NAEPCh. 13.5 - Prob. 3NAEPCh. 13.5A - Prob. 1ACh. 13.5A - Prob. 2ACh. 13.5A - Prob. 3ACh. 13.5A - Prob. 4ACh. 13.5A - Prob. 5ACh. 13.5A - Prob. 6ACh. 13.5A - Prob. 7ACh. 13.5A - Prob. 8ACh. 13.5A - Prob. 9ACh. 13.5A - Prob. 10ACh. 13.5A - Prob. 11ACh. 13.5A - Prob. 12ACh. 13.5A - Prob. 13ACh. 13.5A - Prob. 14ACh. 13.5A - Prob. 15ACh. 13.5A - Prob. 16ACh. 13.5A - Prob. 17ACh. 13.5A - Prob. 18ACh. 13.5A - A right rectangular prism with base ABCD at the...Ch. 13.5A - Prob. 20ACh. 13.5A - Prob. 21ACh. 13.5A - Prob. 22ACh. 13.5A - Prob. 23ACh. 13.5A - Prob. 24ACh. 13.5A - Prob. 25ACh. 13.5A - a. Given any rectangle describe ways to decompose...Ch. 13.5A - Prob. 27ACh. 13.5A - Prob. 28ACh. 13.5A - Prob. 29ACh. 13.5A - Prob. 30ACh. 13.5A - Prob. 31ACh. 13.5B - Prob. 1ACh. 13.5B - Prob. 2ACh. 13.5B - Prob. 3ACh. 13.5B - Find the volume of each of the following, a. Right...Ch. 13.5B - Prob. 5ACh. 13.5B - Prob. 7ACh. 13.5B - Prob. 8ACh. 13.5B - Prob. 9ACh. 13.5B - Prob. 10ACh. 13.5B - Prob. 11ACh. 13.5B - Prob. 12ACh. 13.5B - Prob. 13ACh. 13.5B - Prob. 14ACh. 13.5B - Prob. 15ACh. 13.5B - Prob. 16ACh. 13.5B - Prob. 17ACh. 13.5B - Prob. 18ACh. 13.5B - Prob. 19ACh. 13.5B - Prob. 20ACh. 13.5B - Prob. 21ACh. 13.5B - Prob. 22ACh. 13.5B - Prob. 23ACh. 13.5B - A paper clip has a mass of about 1 g. Is it...Ch. 13.5B - Prob. 25ACh. 13.5B - Prob. 26ACh. 13.5B - If the weight of a 1000 bill before it was...Ch. 13.5B - Prob. 28ACh. 13.5B - Prob. 29ACh. 13.5B - Prob. 30ACh. 13.5B - Prob. 31ACh. 13.CR - Complete the following conversions. a. 50ft=yd b....Ch. 13.CR - Prob. 2CRCh. 13.CR - The diagonal of rectangle has measure 1.3m and a...Ch. 13.CR - Prob. 4CRCh. 13.CR - Prob. 5CRCh. 13.CR - Prob. 6CRCh. 13.CR - Prob. 7CRCh. 13.CR - Lines a,bandc are parallel to the line containing...Ch. 13.CR - Prob. 9CRCh. 13.CR - Prob. 11CRCh. 13.CR - Prob. 12CRCh. 13.CR - Prob. 13CRCh. 13.CR - Prob. 14CRCh. 13.CR - Find the surface area and volume of each of the...Ch. 13.CR - Prob. 16CRCh. 13.CR - Prob. 17CRCh. 13.CR - Prob. 18CRCh. 13.CR - Prob. 19CRCh. 13.CR - Prob. 20CRCh. 13.CR - Prob. 21CRCh. 13.CR - Prob. 22CRCh. 13.CR - On a 55 geoboard, a. Draw a polygon whose...Ch. 13.CR - Prob. 24CRCh. 13.CR - Prob. 25CRCh. 13.CR - Prob. 26CRCh. 13.CR - Prob. 27CRCh. 13.CR - Prob. 28CRCh. 13.CR - Prob. 29CRCh. 13.CR - Prob. 30CRCh. 13.CR - Prob. 31CRCh. 13.CR - Prob. 32CRCh. 13.CR - Prob. 33CRCh. 13.CR - Prob. 34CRCh. 13 - Prob. 4NTCh. 13 - Prob. 6NTCh. 13 - Prob. 7NTCh. 13 - Prob. 8NT

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