A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)
12th Edition
ISBN: 9780133865479
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 1.2A, Problem 5A
ASSESSMENT
The pattern
a. What is the least 4-digit number greater than
b. What is the greatest 3-digit number in this pattern?
c. What is the greatest number in this pattern that is less than
d. If this pattern was produced in a normal spreadsheet, What is the number in cell
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
i need help please
A convex polygon is said to be regular if all of its sides have the same length and
all angles between sides are the same. Let Pr denote the regular convex n-sided
polygon. Thus, P3 is the equilateral triangle, P₁ is the square, P is the pentagon
etc. Compute a formula for the size of any internal angle of Pn.
+
Recall that a map, f: R2 R², is an isometry if |P-Q| = |ƒ(P) — ƒ (Q) for all
pairs of points P and Q in R². Thus, f is a distance preserving map. Show that
an isometry, f: R² → R² also preserves angles. In other words if two line segments
meeting at a point determine an angle a, their image line segments meeting at the
image of that point also determine the angle a.
Chapter 1 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)
Ch. 1.1 - Mathematical Connections 1-2 a. If a fixed number...Ch. 1.1 - Mathematical Connections 1-2 A student says she...Ch. 1.1 - Mathematical Connections 1-2 Abby and Dan are...Ch. 1.1 - Consider a game where you have two distict piles...Ch. 1.1 - Mathematical Connections 1-2 A mathematician named...Ch. 1.1 - Mathematical Connections 1-2 The figure below...Ch. 1.1 - Mathematical Connections 1-1 The distance around...Ch. 1.1 - Work in pairs on the following versions of a game...Ch. 1.1 - John asks why the last step of Polyas four-step...Ch. 1.1 - Mathematical Connections 1-2 Connecting...
Ch. 1.1 - Mathematical Connections 1-2 Connecting...Ch. 1.1 - National Assessment of Educational Progress NAEP...Ch. 1.1 - A pattern of dots is shown above. How many dots...Ch. 1.1 - Susie said, I have 83c but fewer than 10 coins....Ch. 1.1 - An Introduction to Problem Solving Sam folds a...Ch. 1.1A - Use the approach in Gausss Problem to find the...Ch. 1.1A - Use the ideas in drawings a and b to find the...Ch. 1.1A - Find the sum 36+37+38+39+...+146+147.Ch. 1.1A - Assessment 1-1A Cookies are sold singly or in...Ch. 1.1A - Assessment 1-1A In a big red box, there are 7...Ch. 1.1A - Assessment 1-1A How many triangles are in the...Ch. 1.1A - Without computing each sum of the arithmetic...Ch. 1.1A - Assessment 1-1A Alababa, Bubba, Cory, and Dandy...Ch. 1.1A - Assessment 1-1A How many ways can you make change...Ch. 1.1A - Assessment 1-1A The following is a magic square...Ch. 1.1A - Assessment 1-1A Debbie and Amy began reading a...Ch. 1.1A - Assessment 1-1A The 14 digits of a credit card are...Ch. 1.1A - Assessment 1-1A Three closed boxes A, B, and C of...Ch. 1.1A - Assessment 1-1A An electrician charges 50 per hour...Ch. 1.1A - Assessment 1-1A Kathy stood on the middle rung of...Ch. 1.1B - Use the approach in Gausss Problem to find the...Ch. 1.1B - Use the diagram below to explain how to find the...Ch. 1.1B - Find the sum of 58+59+60+61+...+203.Ch. 1.1B - Eve Merriam " titled her childrens book...Ch. 1.1B - Prob. 5ACh. 1.1B - How many squares are in the following figure?Ch. 1.1B - If P=1+3+5+7+...+99 and Q=5+7+9...+101 are sums of...Ch. 1.1B - The sign says that you are leaving Missoula, Butte...Ch. 1.1B - Marc goes to the store with exactly 1.00 in...Ch. 1.1B - Find a 3-by-3 magic square using the numbers 3, 5,...Ch. 1.1B - Eight marbles look alike, but one is slightly...Ch. 1.1B - Recall the song "TheTwelveDaysofChristmas": On the...Ch. 1.1B - a. Suppose you have quarters, dimes and pennies...Ch. 1.1B - Suppose you buy lunch for the math club. You have...Ch. 1.1B - One winter night the temperature fell 15 degrees...Ch. 1.2 - a. If a fixed number is added to each term of an...Ch. 1.2 - A student says she read that Thomas Robert Malthus...Ch. 1.2 - MATHEMATICAL CONNECTIONS Abby to take place in 5...Ch. 1.2 - MATHEMATICAL CONNECTIONS The arithmetic average of...Ch. 1.2 - Prob. 5MCCh. 1.2 - Prob. 6MCCh. 1.2 - Prob. 7MCCh. 1.2 - Prob. 8MCCh. 1.2 - Prob. 9MCCh. 1.2 - Prob. 10MCCh. 1.2 - The following pattern is called Pascals triangle....Ch. 1.2 - Prob. 12MCCh. 1.2 - MATHEMATICAL CONNECTIONS Joey said that 4, 24, 44,...Ch. 1.2 - Mathematical Connections A1 and Betty were asked...Ch. 1.2 - MATHEMATICAL CONNECTIONS A student claims the...Ch. 1.2 - Prob. 16MCCh. 1.2 - Mathematical connections 12 In a baseball league...Ch. 1.2 - Mathematical connections 12 How many ways can you...Ch. 1.2 - Mathematical connections 12 Tents hold...Ch. 1.2 - Prob. 1NAEPCh. 1.2 - NATIONAL ASSESSMENT OF EDUCATIONAL PROGRESS NAEP...Ch. 1.2 - A car can seat c adults. A van can seat 4 more...Ch. 1.2 - Prob. 4NAEPCh. 1.2A - ASSESSEMENT For each of the following sequences of...Ch. 1.2A - ASSESSMENT Each of the following sequences is...Ch. 1.2A - Assessment Find the 100th term and the nth term...Ch. 1.2A - ASSESSMENT Use a traditional clock face to...Ch. 1.2A - ASSESSMENT The pattern 1,8,27,64,125,... is a...Ch. 1.2A - ASSESSMENT The first windmill has 5 matchstick...Ch. 1.2A - ASSESSMENT In the following sequence, the figures...Ch. 1.2A - ASSESSMENT The school population for a certain...Ch. 1.2A - Joes annual income has been increasing each year...Ch. 1.2A - The first difference of a sequence is the...Ch. 1.2A - List the next three terms to continue a pattern in...Ch. 1.2A - Assessment How many terms are there in each of the...Ch. 1.2A - ASSESSMENT Find the first five terms in sequences...Ch. 1.2A - Find a counterexample for each of the following:...Ch. 1.2A - Assume that the following patterns are built of...Ch. 1.2A - ASSESSMENT Consider the sequences given in the...Ch. 1.2A - ASSESSMENT A sheet of paper is cut into 5...Ch. 1.2A - Assessment Each of the following sequences is...Ch. 1.2A - Assessment A Fibonacci-type sequence is a sequence...Ch. 1.2A - Prob. 20ACh. 1.2A - ASSESSMENT A new pair of tennis shoes cost 80. If...Ch. 1.2B - ASSESSEMENT For each of the following sequences of...Ch. 1.2B - Assessment Each of the following sequences is...Ch. 1.2B - Find the 100th term and the nth term for each of...Ch. 1.2B - ASSESSMENT Use a traditional clock face to...Ch. 1.2B - Assessment Observe the following pattern:...Ch. 1.2B - In the following pattern, one hexagon takes 6...Ch. 1.2B - ASSESSMENT Each successive figure below is made of...Ch. 1.2B - ASSESSMENT A tank contains 15,360L of water. At...Ch. 1.2B - ASSESSMENT The Washington Middle School time is an...Ch. 1.2B - The first difference of a sequence is the...Ch. 1.2B - Prob. 11ACh. 1.2B - ASSESSMENT How many terms are there in a following...Ch. 1.2B - ASSESSMENT Find the first five terms in sequences...Ch. 1.2B - ASSESSMENT Find a counterexample for each of the...Ch. 1.2B - ASSESSMENT Assume the following pattern with terms...Ch. 1.2B - ASSESSMENT Consider the sequences given in the...Ch. 1.2B - Female bees are born fertilized eggs, and male...Ch. 1.2B - Assessment Each of the following sequences is...Ch. 1.2B - Prob. 19ACh. 1.2B - Starting with 1 and 1 as the first two terms of...Ch. 1.CR - CHAPTER 1 REVIEW If today is Sunday, July 4, and...Ch. 1.CR - CHAPTER 1 REVIEW Jackie spent 40 on two items. If...Ch. 1.CR - A nursery rhyme states: A diller, a dollar, a ten...Ch. 1.CR - CHAPTER 1 REVIEW List three more terms that...Ch. 1.CR - Find a possible nth term in each of the following:...Ch. 1.CR - Prob. 6CRCh. 1.CR - CHAPTER 1 REVIEW Find the following sums: a....Ch. 1.CR - Prob. 8CRCh. 1.CR - Prob. 9CRCh. 1.CR - Prob. 10CRCh. 1.CR - CHAPTER 1 REVIEW Solve the following equations: a....Ch. 1.CR - CHAPTER 1 REVIEW If fence posts are to be placed...Ch. 1.CR - If a complete rotation of a car tire moves car...Ch. 1.CR - CHAPTER 1 REVIEW The members of Mrs. Grants class...Ch. 1.CR - CHAPTER 1 REVIEW A carpenter has three large...Ch. 1.CR - Use differences to find the next term in the...Ch. 1.CR - CHAPTER 1 REVIEW An ant farm can hold 100,000...Ch. 1.CR - CHAPTER 1 REVIEW Tomas team entered a mathematics...Ch. 1.CR - CHAPTER 1 REVIEW Three pieces of wood are needed...Ch. 1.CR - CHAPTER 1 REVIEW How many four-digit numbers have...Ch. 1.CR - If n and m are natural numbers and nm, how many...Ch. 1.CR - Prob. 22CRCh. 1.CR - Prob. 23CRCh. 1.CR - Prob. 24CRCh. 1.CR - a. If every second term in an arithmetic sequence...Ch. 1.CR - Prob. 26CRCh. 1.CR - CHAPTER 1 REVIEW Each of the following is a...Ch. 1 - NOW TRY THIS Explain whether the approach in...Ch. 1 - NOW TRY THIS Find the sum of consecutive natural...Ch. 1 - NOW TRY THIS Each of 16 people in a round-robin...Ch. 1 - NOW TRY THIS An elevator stopped at the middle...Ch. 1 - Prob. 5NTCh. 1 - NOW TRY THIS A prime number is a natural number...Ch. 1 - In Figure 13, we want to know how many different...Ch. 1 - Prob. 8NTCh. 1 - NOW TRY THIS Consider the rectangular numbers in...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Using Harriott's formula for the area of a triangle on the unit sphere, S2, compute the Euler characteristic X(S2). Make sure to explain what the Euler characteristic is. (The point of the exercise is to show that this notion is well-defined.)arrow_forwardProve Harriot's Formula (Area of a Triangle on a Sphere).arrow_forward6. (i) Sketch the trace of the following curve on R², (t) = (sin(t), 3 sin(t)), tЄ [0, π]. [3 Marks] Total marks 10 (ii) Find the length of this curve. [7 Marks]arrow_forward
- helppparrow_forward7. Let F(x1, x2) (F₁(x1, x2), F2(x1, x2)), where = X2 F1(x1, x2) X1 F2(x1, x2) x+x (i) Using the definition, calculate the integral LF.dy, where (t) = (cos(t), sin(t)) and t = [0,2]. [5 Marks] (ii) Explain why Green's Theorem cannot be used to find the integral in part (i). [5 Marks]arrow_forward6. Sketch the trace of the following curve on R², п 3п (t) = (t2 sin(t), t2 cos(t)), tЄ 22 [3 Marks] Find the length of this curve. [7 Marks]arrow_forward
- Total marks 10 Total marks on naner: 80 7. Let DCR2 be a bounded domain with the boundary OD which can be represented as a smooth closed curve : [a, b] R2, oriented in the anticlock- wise direction. Use Green's Theorem to justify that the area of the domain D can be computed by the formula 1 Area(D) = ½ (−y, x) · dy. [5 Marks] (ii) Use the area formula in (i) to find the area of the domain D enclosed by the ellipse y(t) = (10 cos(t), 5 sin(t)), t = [0,2π]. [5 Marks]arrow_forwardTotal marks 15 Total marks on paper: 80 6. Let DCR2 be a bounded domain with the boundary ǝD which can be represented as a smooth closed curve : [a, b] → R², oriented in the anticlockwise direction. (i) Use Green's Theorem to justify that the area of the domain D can be computed by the formula 1 Area(D) = . [5 Marks] (ii) Use the area formula in (i) to find the area of the domain D enclosed by the ellipse (t) = (5 cos(t), 10 sin(t)), t = [0,2π]. [5 Marks] (iii) Explain in your own words why Green's Theorem can not be applied to the vector field У x F(x,y) = ( - x² + y²²x² + y² ). [5 Marks]arrow_forwardTotal marks 15 པ་ (i) Sketch the trace of the following curve on R2, (t) = (t2 cos(t), t² sin(t)), t = [0,2π]. [3 Marks] (ii) Find the length of this curve. (iii) [7 Marks] Give a parametric representation of a curve : [0, that has initial point (1,0), final point (0, 1) and the length √2. → R² [5 Marks] Turn over. MA-201: Page 4 of 5arrow_forward
- Total marks 15 5. (i) Let f R2 R be defined by f(x1, x2) = x² - 4x1x2 + 2x3. Find all local minima of f on R². (ii) [10 Marks] Give an example of a function f: R2 R which is not bounded above and has exactly one critical point, which is a minimum. Justify briefly your answer. [5 Marks] 6. (i) Sketch the trace of the following curve on R2, y(t) = (sin(t), 3 sin(t)), t = [0,π]. [3 Marks]arrow_forwardIn rhombus ABCD, diagonals BD¯¯¯¯¯¯BD¯ and AC¯¯¯¯¯AC¯ intersect at point E. If BE = 4n – 3 and EC = 2n + 5, which expression can be used to represent AD?arrow_forwardNo chatgpt pls will upvotearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Sequences and Series Introduction; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=m5Yn4BdpOV0;License: Standard YouTube License, CC-BY
Introduction to sequences; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=VG9ft4_dK24;License: Standard YouTube License, CC-BY