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What are we going to do?

Learning Objective. We will solve word problems. What are we going to do?. CFU. Activate Prior Knowledge. An equation uses an equal sign to say two amounts are the same. Solve for the unknown value in the equation below. 1. 5  3 = f 2. 6  4 = d. 15 = f. 24 = d.

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What are we going to do?

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  1. Learning Objective We will solve word problems. What are we going to do? CFU Activate Prior Knowledge An equation uses an equal sign to say two amounts are the same. Solve for the unknown value in the equation below. 1. 5  3 = f 2. 6  4 = d 15 = f 24 = d Students, you already know how to solve equations. Sometimes a math problem is written in words instead of numbers. Now, we will solve word problems. Make Connection

  2. Concept Development • A multiplier is a number used to compare a greater quantityand lesser quantityusing multiplication. • Word problems can sometimes compare two quantities using a multiplier. • When one of the factors is unknown, division can be used to solve the problem. Multiplier $15 is three times as much as $5 CFU 1 CFU 2 Which equation should be solved using division? A 5  4 = s B 5 s = 20 Identify the multiplier in the word problem below. How do you know it is the multiplier? Identify the lesser quantity in the word problem below. How do you know it is the lesser quantity? Emilia has 4 apples. Charles has three times as many. How many apples does Charles have? In your own words, what is a word problem? “A word problem is ______________.” Unknown Greater Quantity Word Problem Ronaldoread 5 pagesthis week. Shengread three times as many pages as Ronaldo. How many pages did Sheng read? Go to Skill Dev 2 Go to Skill Dev 1 Sheng read 15 pagesthis week. 5 3 = p a 4 = 12 15 = p 12 4 = a Unknown Lesser Quantity Word Problem Feliciaread twelve pagesthis week. Felicia read four times as many pages as Alyssa. How many pages did Alyssa read? 3= a Alyssa read 3 pagesthis week.

  3. Skill Development/Guided Practice 1 • A multiplier is a number used to compare a greater quantityand lesser quantityusing multiplication. • Word problems can sometimes compare two quantities using a multiplier. • When one of the factors is unknown, division can be used to solve the problem. CFU How did I/you identify the question being asked? How did I/you identify the known values in the word problem? How did I/you represent the word problem as an equation? How did I/you interpret the solution? Solve word problems. 1 Read the word problem and identify1 the question being asked. (circle) Identify the known values in the word problem. (underline) Hint: multiplier, quantities Represent2 the word problem as an equation. Interpret3 the solution. Hint: Answer the question being asked. 1 2 2 3 3 4 4 1. Thelma is saving up money to go on a trip. This month, she saved three times as much money as she saved last month. Last month, she saved $4. How much money did she save this month? Represent the multiplication word problems using a drawing. 3  4 = s 12 = s “Thelma saved $12 this month.” Application 2. Simone read 7 books during the month of August. Theodora read four times as many books as Simone. How many books did Theodora read in August? 1 find (synonym) 2 write 3 explain Vocabulary 4  7 = b Simone Theodora 28 = b “Theodora read 28 books in August.” Last month This month

  4. Skill Development/Guided Practice 1 (continued) • A multiplier is a number used to compare a greater quantityand lesser quantityusing multiplication. • Word problems can sometimes compare two quantities using a multiplier. • When one of the factors is unknown, division can be used to solve the problem. CFU How did I/you identify the question being asked? How did I/you identify the known values in the word problem? How did I/you represent the word problem as an equation? How did I/you interpret the solution? Solve word problems. 1 Read the word problem and identify the question being asked. (circle) Identify the known values in the word problem. (underline) Hint: multiplier, quantities Represent the word problem as an equation. Interpret the solution. Hint: Answer the question being asked. 1 2 2 3 3 4 Back to Concept Dev 4 3. Norville can solve 3 multiplication problems in one minute. Daphne can solve multiplication problems six times as fast as Norville. How many word problems can Daphne solve in one minute? 6  3 = d “Daphne can solve 18 problems in one minute.” 18 = d 4. Yesterday, Juan studied his spelling words for 8 minutes. Today, he studied his spelling words for 4 times as long. How long did he study today? 4  8 = b “Today, Juan studied his spelling words for 32 minutes.” 32 = b

  5. Skill Development/Guided Practice 2 • A multiplier is a number used to compare a greater quantityand lesser quantityusing multiplication. • Word problems can sometimes compare two quantities using a multiplier. • When one of the factors is unknown, division can be used to solve the problem. CFU How did I/you identify the question being asked? How did I/you identify the known values in the word problem? How did I/you represent the word problem as an equation? How did I/you interpret the solution? Solve word problems. 1 Read the word problem and identify the question being asked. (circle) Identify the known values in the word problem. (underline) Hint: multiplier, quantities Represent the word problem as an equation. Interpret the solution. Hint: Answer the question being asked. 1 2 2 3 3 4 5. In a garden, an orange tree is four times as tall as an apple tree. The orange tree is 20 feet tall. How tall is the apple tree? 4 4  t = 20 20  4 = t “The apple tree is 5 feet tall.” 5 = t 6. Emilee can go 70 mph on her motorcycle. This is 7 times as fast as she can go on her bicycle. How fast can she go on her bicycle? 7  t = 70 70  7 = t “Emilee can go 10 mph on her bicycle.” 10 = t

  6. Skill Development/Guided Practice 2 (continued) • A multiplier is a number used to compare a greater quantityand lesser quantityusing multiplication. • Word problems can sometimes compare two quantities using a multiplier. • When one of the factors is unknown, division can be used to solve the problem. CFU How did I/you identify the question being asked? How did I/you identify the known values in the word problem? How did I/you represent the word problem as an equation? How did I/you interpret the solution? Solve word problems. 1 Read the word problem and identify the question being asked. (circle) Identify the known values in the word problem. (underline) Hint: multiplier, quantities Represent the word problem as an equation. Interpret the solution. Hint: Answer the question being asked. 1 2 2 3 3 4 7. Alberto and Houa are going on a trip that is 40 miles long. Alberto is moving at 30 miles per hour. Houa is going 6 miles per hour. How many times faster is Alberto moving than Houa? 4 s 6 = 30 “Albert is going 5 times faster than Houa.” 30  6 = s 5 = s 8. There are 11 trees in the city park. Workers just planted a new tree. The new tree is 3 meters tall. The tallest tree measures 21 meters tall. How many times taller than the new tree is the tallest tree? 3  t = 21 21  3 = t “The tallest tree is 7 times taller than the new tree.” 7 = t

  7. Skill Development/Guided Practice (continued) How did I/you determine what the question is asking? How did I/you determine the math concept required? How did I/you determine the relevant information? How did I/you solve and interpret the problem? How did I/you check the reasonableness of the answer? CFU 1 2 3 4 1. Karina can solve 3 division problems in one minute. Wesley can solve division problems four times as fast as Karina. Choose the equation that could be used to determine how fast Wesley can solve division problems, d. 5 A 3  d = 4 B 3  4 = d C 3  4 = d D 3  d = 4 3  4 = d “Wesley can solve 12 division problems in one minute.” 12 = d 2. A book costs $18. That is 3 times more than a DVD. How much does a DVD cost? Select all the equations that represent this problem. A 3  s = 18 B 3  18 = s C 3  18 = s D 18  s = 3

  8. Relevance • A multiplier is a number used to compare a greater quantityand lesser quantityusing multiplication. • Word problems can sometimes compare two quantities using a multiplier. • When one of the factors is unknown, division can be used to solve the problem. Solving word problems will help you solve problems in the real world. 1 Einar wants to buy some new school supplies. A box of pencils costs $4 and a package of 5 new notebooks costs 3 times as much. How much will the notebooks cost? The notebooks cost $12. Solving word problems will help you do well on tests. 2 Sample Test Question: Does anyone else have another reason why it is relevant to solve word problems? (Pair-Share) Why is it relevant to solve word problems? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU

  9. A multiplier is a number used to compare a greater quantityand lesser quantityusing multiplication. • Word problems can sometimes compare two quantities using a multiplier. • When one of the factors is unknown, division can be used to solve the problem. Skill Closure Solve word problems. Read the word problem and identify the question being asked. (circle) Identify the known values in the word problem. (underline) Hint: multiplier, quantities Represent the word problem as an equation. Interpret the solution. Hint: Answer the question being asked. 1 2 3 4 Word Bank 1. Elias ran a mile in 8 minutes. It took Andrew six times as long to walk a mile. How long did it take Andrew to walk the mile? Word Bank word problem equation multiplier factor quantity greater/lesser “It took Andrew 48 minutes.” 8  6 = a 48 = a 2. Last week, Juanita walked 24 miles. She walked twice as far last week as she did this week. How far did she walk this week? “Juanita walked 12 miles this week.” 24  2 = w 12 = w 2  w = 24 Access Common Core Alvin answered the word problem below. His teacher says that his answer is incorrect. Explain the mistake that he made. Juan has six times as many pencils as Janice. Juan has 18 pencils. How many pencils does Janice have? p 6 = 18 “Janice has 3 pencils.” 18  6 = p Summary Closure 3 = p What did you learn today about solving multiplication word problems? (Pair-Share) Use words from the word bank.

  10. Independent Practice • A multiplier is a number used to compare a greater quantityand lesser quantityusing multiplication. • Word problems can sometimes compare two quantities using a multiplier. • When one of the factors is unknown, division can be used to solve the problem. Solve word problems. Read the word problem and identify the question being asked. (circle) Identify the known values in the word problem. (underline) Hint: multiplier, quantities Represent the word problem as an equation. Interpret the solution. Hint: Answer the question being asked. 1 2 3 4 1. Pavel worked on his science project for 8 hours. Montgomery worked on his for six times as long. How long did Montgomery work on his project? 6  8 = s 48 = s “Montgomery worked on his science project for 48 hours.” 2. Hikaru practiced on his guitar for 9 hours last month. Nyota practiced on her violin for four times as long. How long did Nyota practice playing her violin last month? 4  9 = n 36 = n “Nyota practiced playing her violin for 36 hours.”

  11. Independent Practice (continued) • A multiplier is a number used to compare a greater quantityand lesser quantityusing multiplication. • Word problems can sometimes compare two quantities using a multiplier. • When one of the factors is unknown, division can be used to solve the problem. Solve word problems. Read the word problem and identify the question being asked. (circle) Identify the known values in the word problem. (underline) Hint: multiplier, quantities Represent the word problem as an equation. Interpret the solution. Hint: Answer the question being asked. 1 2 3 4 3. Kitimari walked to school. It took 28 minutes. It takes her four times as long to walk as it does to take the bus. How long will it take her to get home on the bus? 4  b = 28 28  4 = b “It will take Kitimari 7 minutes to get home on the bus.” 7 = b 4. Einar wants to buy some new school supplies. A box of pencils costs $4 and a package of 5 new notebooks costs 3 times as much. How much will the notebooks cost? 3  4 = n 12 = n “The notebooks cost $12.”

  12. Independent Practice (continued) • A multiplier is a number used to compare a greater quantityand lesser quantityusing multiplication. • Word problems can sometimes compare two quantities using a multiplier. • When one of the factors is unknown, division can be used to solve the problem. Solve word problems. Read the word problem and identify the question being asked. (circle) Identify the known values in the word problem. (underline) Hint: multiplier, quantities Represent the word problem as an equation. Interpret the solution. Hint: Answer the question being asked. 1 2 3 4 5. Isabel has sold 42 coupons for a school fundraiser. Renee has only sold 7. How many times more coupons has Isabel sold than Renee? c 7 = 42 42  7 = c “Isabel has sold six times as many coupons as Renee.” 6 = c 6. Clementine spent 45 minutes on her homework on Saturday. She only spent 9 minutes on her homework on Sunday. How many times longer did she spend on her homework on Saturday than on Sunday? h 9 = 45 45  9 = h “Clementine spent five times as long on her homework on Saturday.” 5 = h

  13. Periodic Review 1 1. Asim mowed his lawn. The front yard took him 8 minutes to mow. It took him six times as long to mow the back yard. How long did it take him to mow the back yard? 6  8 = m 48 = m “It took Asim 48 minutes to mow the back yard.” 2. Sophia is writing a story that will be four pages long. She spent 54 minutes yesterday writing. She was only able to spend six minutes on correcting it today. How much longer did she work on it yesterday than she did today? w 6 = 54 54  6 = w “Sophia spent 9 times longer on her story yesterday than she did today.” 9 = w Access Common Core Goran answered the word problems below. Check his answers and fix any mistakes that he made. 1. Ella has six pens in her bag. She has five times as many pens in her desk. How many pens does she have in her desk? correct 2. Hannah has read 42 pages from her book. Daryl has only read 6 pages. How many times more pages has Hannah read than Daryl? “Hannah read 7 times more pages than Daryl” p  6 = 42 42  6 = p 7 = p

  14. Periodic Review 2 1. Pierre counts 72 students in the cafeteria. There are eight students outside on the playground. How many times more students are in the cafeteria than are outside? s 8 = 72 72  8 = s “There are nine times more students in the cafeteria than are outside.” 9 = s Access Common Core Which of the following can be used to represent the word problem below? Petra has 6 books in her room. There are 18 more books in the living room. How many times more books are there in the living room than are in Petra’s room? 6  b = 18 18  b = 6 Yes No Yes No Yes No Yes No

  15. Periodic Review 3 1. The city has four jogging paths. The longest path in the park is 21 kilometers long. It is 7 times longer than the shortest jogging path in the city. How long is the shortest path? 7  p = 21 21  7 = p “The shortest jogging path is 3 kilometers long.” 3 = p Access Common Core Write a short story that describes the following equation. 6 8 = f Answers may vary.

  16. EDI – Cognitive, Teaching, and English Learner Strategies Cognitive Strategies Teaching Strategies Language Strategies Content Access Strategies

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  18. Skill Development/Guided Practice (continued) How did I/you determine what the question is asking? How did I/you determine the math concept required? How did I/you determine the relevant information? How did I/you solve and interpret the problem? How did I/you check the reasonableness of the answer? CFU 1 2 3 4 1. Karina can solve 3 division problems in one minute. Wesley can solve division problems four times as fast as Karina. Choose the equation that could be used to determine how fast Wesley can solve division problems, d. 5 A 3  d = 4 B 3  4 = d C 3  4 = d D 3  d = 4 3  4 = d “Wesley can solve 12 division problems in one minute.” 12 = d 2. Stacy and Vicky both collect stickers. Vicky has seven times as many stickers as Stacy. If Vicky has 63 stickers, how many stickers does Stacy have? Choose the equation that could be used to determine how fast Wesley can solve division problems, d. A 3  s = 18 B 3  18 = s C 3  18 = s D 18  s = 3 7  s = 63 63  7 = s 9 = s

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