Problem Solving Approach to Mathematics for Elementary School Teachers
Problem Solving Approach to Mathematics for Elementary School Teachers
13th Edition
ISBN: 9780135184097
Author: BILLSTEIN
Publisher: PEARSON CO
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Chapter 14.CR, Problem 8CR
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Under a succession of isometries with a dilation ΔSER is the image of ΔHOR.

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Find the area of the shaded region. (a) 5- y 3 2- (1,4) (5,0) 1 3 4 5 6 (b) 3 y 2 Decide whether the problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. STEP 1: Consider the figure in part (a). Since this region is simply a triangle, you may use precalculus methods to solve this part of the problem. First determine the height of the triangle and the length of the triangle's base. height 4 units units base 5 STEP 2: Compute the area of the triangle by employing a formula from precalculus, thus finding the area of the shaded region in part (a). 10 square units STEP 3: Consider the figure in part (b). Since this region is defined by a complicated curve, the problem seems to require calculus. Find an approximation of the shaded region by using a graphical approach. (Hint: Treat the shaded regi as…
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Chapter 14 Solutions

Problem Solving Approach to Mathematics for Elementary School Teachers

Ch. 14.1 - Prob. 13MCCh. 14.1 - Prob. 14MCCh. 14.1 - Prob. 15MCCh. 14.1 - Prob. 18MCCh. 14.1 - Prob. 19MCCh. 14.1 - Prob. 20MCCh. 14.1 - Prob. 21MCCh. 14.1 - Karrin claims that centers of rotation must be at...Ch. 14.1 - A student asks if the image seen through a...Ch. 14.1 - Jillian wants to know why a regular pentagon will...Ch. 14.1 - Prob. 26MCCh. 14.1 - Prob. 1NAEPCh. 14.1 - Prob. 2NAEPCh. 14.1 - Prob. 3NAEPCh. 14.1A - For each of the following, find the image of the...Ch. 14.1A - Prob. 2ACh. 14.1A - Find the coordinates of the image for each of the...Ch. 14.1A - Prob. 4ACh. 14.1A - Prob. 7ACh. 14.1A - Prob. 8ACh. 14.1A - Prob. 9ACh. 14.1A - Prob. 11ACh. 14.1A - Prob. 12ACh. 14.1A - Prob. 13ACh. 14.1A - Prob. 14ACh. 14.1A - Prob. 15ACh. 14.1A - A 1-inch blue square piece of sidewalk chalk is...Ch. 14.1A - Prob. 17ACh. 14.1A - Prob. 18ACh. 14.1A - Prob. 19ACh. 14.1A - Prob. 20ACh. 14.1A - Prob. 22ACh. 14.1A - Prob. 23ACh. 14.1A - Prob. 24ACh. 14.1A - Prob. 25ACh. 14.1A - Prob. 26ACh. 14.1A - Prob. 27ACh. 14.1A - Prob. 28ACh. 14.1B - Prob. 2ACh. 14.1B - Prob. 3ACh. 14.1B - Prob. 4ACh. 14.1B - Prob. 7ACh. 14.1B - Prob. 11ACh. 14.1B - Prob. 12ACh. 14.1B - Prob. 13ACh. 14.1B - Prob. 14ACh. 14.1B - Prob. 15ACh. 14.2 - Prob. 1MCCh. 14.2 - Prob. 2MCCh. 14.2 - Prob. 3MCCh. 14.2 - Prob. 4MCCh. 14.2 - Prob. 5MCCh. 14.2 - Prob. 6MCCh. 14.2 - Prob. 7MCCh. 14.2 - Prob. 8MCCh. 14.2 - Prob. 9MCCh. 14.2 - Prob. 13MCCh. 14.2 - Prob. 15MCCh. 14.2 - Prob. 17MCCh. 14.2 - Prob. 18MCCh. 14.2 - Prob. 19MCCh. 14.2 - Prob. 20MCCh. 14.2 - Prob. 22MCCh. 14.2 - Prob. 1NAEPCh. 14.2 - Prob. 2NAEPCh. 14.2 - Prob. 3NAEPCh. 14.2 - Prob. 4NAEPCh. 14.2 - Prob. 5NAEPCh. 14.2A - Assessment 14-2A Describe how to find the image of...Ch. 14.2A - Prob. 2ACh. 14.2A - Assessment 14-2A Determine the final result when...Ch. 14.2A - Prob. 4ACh. 14.2A - Assessment 14-2A a. Refer to the following figure...Ch. 14.2A - Prob. 6ACh. 14.2A - a. Reflect triangle ABC across line j, then across...Ch. 14.2A - Assessment 14-2A Given ABC and its reflection...Ch. 14.2A - Prob. 9ACh. 14.2A - Prob. 10ACh. 14.2A - Decide whether a reflection, a translation, a...Ch. 14.2A - a. Conjecture what the image of a point with...Ch. 14.2A - Prob. 16ACh. 14.2A - Prob. 17ACh. 14.2A - Prob. 18ACh. 14.2A - Point P is the image of P not shown under a glide...Ch. 14.2A - Consider the glide reflection determined by the...Ch. 14.2B - Prob. 1ACh. 14.2B - Prob. 2ACh. 14.2B - Determine the final result when ABCis reflection...Ch. 14.2B - Prob. 4ACh. 14.2B - Prob. 6ACh. 14.2B - Prob. 7ACh. 14.2B - Prob. 8ACh. 14.2B - Prob. 9ACh. 14.2B - Prob. 10ACh. 14.2B - Prob. 11ACh. 14.2B - Prob. 12ACh. 14.2B - Prob. 13ACh. 14.2B - Prob. 14ACh. 14.2B - Prob. 15ACh. 14.2B - In which line will the two intersecting circles...Ch. 14.2B - Prob. 18ACh. 14.2B - If PQ is the image PQ not shown under a glide...Ch. 14.2B - Prob. 20ACh. 14.2B - Prob. 21ACh. 14.3 - Prob. 1MCCh. 14.3 - Prob. 2MCCh. 14.3 - Prob. 3MCCh. 14.3 - Prob. 5MCCh. 14.3 - Prob. 6MCCh. 14.3 - Prob. 7MCCh. 14.3 - Prob. 8MCCh. 14.3 - Prob. 9MCCh. 14.3 - Prob. 10MCCh. 14.3 - Prob. 12MCCh. 14.3 - Prob. 13MCCh. 14.3 - Prob. 14MCCh. 14.3 - Prob. 15MCCh. 14.3 - Prob. 16MCCh. 14.3 - Prob. 17MCCh. 14.3A - In the following figures, describe a sequence of...Ch. 14.3A - Prob. 2ACh. 14.3A - In each of the following drawings, find...Ch. 14.3A - Prob. 4ACh. 14.3A - AB is the image of a candle AB produced by a box...Ch. 14.3A - Prob. 6ACh. 14.3A - Prob. 7ACh. 14.3A - Prob. 8ACh. 14.3A - Prob. 9ACh. 14.3A - Prob. 10ACh. 14.3A - Prob. 11ACh. 14.3A - Prob. 12ACh. 14.3A - Prob. 13ACh. 14.3B - Prob. 1ACh. 14.3B - Prob. 2ACh. 14.3B - Prob. 4ACh. 14.3B - Prob. 5ACh. 14.3B - Prob. 6ACh. 14.3B - Prob. 7ACh. 14.3B - Prob. 8ACh. 14.3B - Prob. 9ACh. 14.3B - Prob. 11ACh. 14.3B - Prob. 12ACh. 14.3B - Prob. 13ACh. 14.CR - Prob. 1CRCh. 14.CR - Prob. 2CRCh. 14.CR - Prob. 3CRCh. 14.CR - Prob. 4CRCh. 14.CR - Given that STAR in the figure shown is a...Ch. 14.CR - Prob. 6CRCh. 14.CR - Given that SNOSWO in the following figure,...Ch. 14.CR - Prob. 8CRCh. 14.CR - Prob. 9CRCh. 14.CR - Prob. 10CRCh. 14.CR - If a translation determined by (x,y)(x+3,y2) is...Ch. 14.CR - Prob. 12CRCh. 14.CR - Prob. 13CRCh. 14.CR - On a 1-m equilateral triangle pool table, a ball...Ch. 14.CR - Prob. 15CRCh. 14.CR - Prob. 16CRCh. 14.CR - Prob. 17CRCh. 14.CR - Prob. 18CRCh. 14.CR - Prob. 19CRCh. 14.CR - Prob. 21CRCh. 14.CR - Prob. 22CRCh. 14.CR - Prob. 23CRCh. 14.CR - Prob. 24CRCh. 14.CR - Prob. 25CRCh. 14.CR - Prob. 26CRCh. 14.CR - What dilation, if any, allows a line with equation...Ch. 14 - Prob. 1NT
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