Work Backward
\nSymbols can show movement of points on a coordinate plane.
\n![\"Envision](\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/04\/Envision-Math-5th-Grade-Textbook-Answers-Topic-18.4-Problem-Solving-1.png\")
\nSymbols
\nmove right \u2192
\nmove left \u2190
\nmove up \u2191
\nmove down \u2193<\/p>\n
Starting Position (2, 3)
\n5 units \u2192 (7, 3)
\n3 units \u2191 (7, 6)
\n4 units \u2192 (3, 6) Ending Position<\/p>\n
Guided Practice<\/strong><\/p>\n Do you know HOW?<\/strong> Do you UNDERSTAND?<\/strong> Question 3. Independent Practice<\/strong><\/p>\n In 4 and 5, work backward to find each starting position. Question 5. What is the starting position? Plan and Solve Solve.<\/strong> Question 7. Question 8. Question 9. Question 10. Question 11. Envision Math 5th Grade Textbook Answer Key Topic 18.4 Problem Solving Problem Solving Work Backward Symbols can show movement of points on a coordinate plane. Symbols move right \u2192 move left \u2190 move up \u2191 move down \u2193 Starting Position (2, 3) 5 units \u2192 (7, 3) 3 units \u2191 (7, 6) 4 units \u2192 …<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/617"}],"collection":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/comments?post=617"}],"version-history":[{"count":1,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/617\/revisions"}],"predecessor-version":[{"id":27032,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/617\/revisions\/27032"}],"wp:attachment":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/media?parent=617"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/categories?post=617"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/tags?post=617"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\nQuestion 1.
\nWork backward to find the starting position.
\nStarting (x, y)
\n3 units \u2192 (6, 14)
\n5 units \u2193 (6, 9)
\n2 units \u2192 (8, 9) Ending
\nAnswer:<\/p>\n
\nQuestion 2.
\nHow can you check the starting position in the answer from the example at the top?
\nAnswer:<\/p>\n
\nWrite a Problem Write a problem involving movement of points on a coordinate plane that can be solved by working backward.
\nAnswer:<\/p>\n
\nQuestion 4.
\nStarting (x, y)
\n4 units \u2190
\n6 units \u2191
\n2 units \u2193
\n3 units \u2192 (3, 9) Ending
\nAnswer:<\/p>\n
\nStarting (x, y)
\n2 units \u2193
\n7 units \u2192
\n2 units \u2191
\n14 units \u2192 (21, 2) Ending
\nAnswer:<\/p>\n
\nIf you know the ending position and the motions used, you can work backward to find the starting position.
\nStarting (x, y)
\n5 units \u2192 (7, 3)
\n3 units \u2191\u00a0 \u00a0(7, 6)
\n4 units \u2192 (3, 6) Ending<\/p>\n
\nBegin at the ending position. Do the opposite motions and work backward.
\nEnding (3, 6)
\n4 units \u2192 (7, 6)
\n3 units \u2193 (7, 3)
\n5 units \u2190 (2, 3) Starting
\nThe starting position is (2, 3).
\nAnswer:<\/p>\n
\nQuestion 6.
\nPat decided to bake one evening. First, she used a certain amount of flour to make biscuits. Then, Pat used 3\\(\\frac{3}{4}\\) cups of flour to make bread and 1\\(\\frac{1}{4}\\) cups of flour to make pretzels. If Pat used a total of 7\\(\\frac{1}{4}\\) cups of flour for all of her baking, how much flour did she use to make biscuits?
\nAnswer:<\/p>\n
\nThe Tigers scored 20 points during a basketball game. The team scored 6 points during the fourth quarter, 4 points during the third quarter, and the same number of points in both the second and first quarters. How many points did the Tigers score in the first quarter of the game? The second quarter?
\nAnswer:<\/p>\n
\nHeather is thinking of a solid that is made up of a couple of shapes. The solid has 5 faces. One of the faces is a shape that has sides of equal length. The other 4 faces are shapes that have three sides. What is the name of the solid Heather is thinking of?
\nAnswer:<\/p>\n
\nSteve, Derrin, Sid, Spencer, and Naji are waiting in line to buy tickets to a movie. Derrin is in front of Spencer and behind Sid. Steve is between Sid and Derrin. Naji is behind Spencer. Who is first in line?
\nAnswer:<\/p>\n
\nJulie kept track of the number of miles she drove over a three-day period. On the first day, she drove 17.25 miles. On the second day, she drove 5.25 miles. On the third day, she drove 24 miles. At the end of the third day, the odometer on Julie’s car read 52,607.5 miles. What was the mileage number on Julie’s odometer when she began keeping track of her mileage?
\nAnswer:<\/p>\n
\nPhilip wants to take the quickest trip to Chicago. Some trains make more stops than others. Which train should he take?
\n![\"Envision](\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/04\/Envision-Math-5th-Grade-Textbook-Answers-Topic-18.4-Problem-Solving-2.png\")
\nAnswer:<\/p>\n","protected":false},"excerpt":{"rendered":"