lesson 4 problem solving investigation

Lesson 4 Problem-Solving Investigation: Make a Model

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Math Connects Course 3 Common Core, Grade: 8 Publisher: Glencoe McGraw-Hill

Math connects course 3 common core, title : math connects course 3 common core, publisher : glencoe mcgraw-hill, isbn : 78951399, isbn-13 : 9780078951398, use the table below to find videos, mobile apps, worksheets and lessons that supplement math connects course 3 common core., textbook resources.

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McGraw Hill My Math Grade 4 Chapter 10 Lesson 8 Answer Key Problem-Solving Investigation: Extra or Missing Information

All the solutions provided in  McGraw Hill My Math Grade 4 Answer Key PDF Chapter 10 Lesson 8 Problem-Solving Investigation: Extra or Missing Information will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 4 Answer Key Chapter 10 Lesson 8 Problem-Solving Investigation: Extra or Missing Information

Learn the Strategy

2. Plan The fact that they traveled 4 days is extra information. Find \(\frac{3}{10}\) + \(\frac{27}{100}\).

Practice the Strategy

4. Check Does your answer make sense? Explain. Answer: 1. Understand What facts do you know? Charlotte walked \(\frac{6}{10}\) mile to school. After school, she walked \(\frac{24}{100}\) mile to her friend’s house. What do you need to find? The time taken for Charlotte to walk to school and to her friend’s house 2. Plan No information was given regarding to individual time taken by Charlotte to walk to her school and then to her friend’s place. The question was mentioned distance travelled by Charlotte, not time.

Apply the Strategy

Determine if there is extra or missing information to solve each problem. Then solve if possible.

Question 1. There are 100 movies at the store. \(\frac{30}{100}\) are action movies, \(\frac{50}{100}\) are comedies, and \(\frac{20}{100}\) are adventure movies. What part of the movies are action or comedies? Answer: \(\frac{80}{100}\) There is no extra or missing information. 1) Understand What facts do you know? Total movies = 100 Action movies = \(\frac{30}{100}\) Comedy movies = \(\frac{50}{100}\) Adventure movies = \(\frac{20}{100}\) What do you need to find? The part of the movies that are action or comedies 2. Plan The part of the movies that are action or comedies = \(\frac{30}{100}\) + \(\frac{50}{100}\) 3. Solve \(\frac{30}{100}\) + \(\frac{50}{100}\)= \(\frac{50 +30}{100}\) = \(\frac{80}{100}\) So, The part of the movies that are action or comedies =\(\frac{80}{100}\) 4. Check Checked and it makes sense.

Question 3. Alexia and her family went on vacation. They walked \(\frac{1}{10}\) mile to the beach and \(\frac{2}{10}\) mile to the souvenir shop. How far did they walk to the beach and to the souvenir shop? Answer: The distance they walked to the beach and to the souvenir shop = \(\frac{3}{10}\) There is no extra or missing information 1) Understand What facts do you know? Alexia and her family went on vacation. They walked \(\frac{1}{10}\) mile to the beach and \(\frac{2}{10}\) mile to the souvenir shop. What do you need to find? The distance they walked to the beach and to the souvenir shop 2. Plan \(\frac{1}{10}\) +\(\frac{2}{10}\) 3. Solve \(\frac{1}{10}\) +\(\frac{2}{10}\)  = \(\frac{1+2}{10}\)  = \(\frac{3}{10}\) Therefore, The distance they walked to the beach and to the souvenir shop = \(\frac{3}{10}\) 4. Check Checked and it makes sense.

Review the Strategies

Use any strategy to solve each problem.

• Determine extra or missing information.
• Use logical reasoning.
• Look for a pattern.
• Make a model.

Question 4. Trina is making friendship bracelets. One tenth of the bracelets are blue. Some of the bracelets are red and some are purple. How many bracelets are blue and purple? Answer: There is missing information 1) Understand What facts do you know? Trina is making friendship bracelets. One tenth of the bracelets are blue. Some of the bracelets are red and some are purple. What do you need to find? Number of bracelets that are in blue and purple 2) Plan We have information on number of blue colored bracelets. But,  we don’t have information on purple bracelets. They mentioned some are in purple in the question, but, they haven’t mentioned the accurate number. Because of missing information, this question cannot be solved.

Question 5. Mathematical PRACTICE Repeated Reasoning Find the next number in the pattern below. Explain how you found the number. \(\frac{15}{100}\), \(\frac{3}{10}\), \(\frac{45}{100}\), \(\frac{6}{10}\), \(\frac{75}{100}\),……. Answer: \(\frac{9}{10}\) latex]\frac{15}{100}[/latex], \(\frac{3}{10}\), \(\frac{45}{100}\), \(\frac{6}{10}\), \(\frac{75}{100}\),.. Represent all the number in the form of denominator of 100. Therefore, latex]\frac{15}{100}[/latex], \(\frac{30}{100}\), \(\frac{45}{100}\), \(\frac{60}{100}\), \(\frac{75}{100}\),.. If we observe the pattern above, all the numbers in the numerator are multiples of 15. So, the next number in the series is \(\frac{90}{100}\) = \(\frac{9}{10}\)

Question 6. The fourth grade classes voted on their favorite flavor of ice cream. Three tenths of the students voted for strawberry, \(\frac{21}{100}\) of the students voted for vanilla, and \(\frac{4}{10}\) of the students voted for chocolate. How many students voted for vanilla or chocolate? Answer: Total No. of students who voted for vanilla or chocolate = \(\frac{61}{100}\) 1. Understand What facts do you know? No. of students who voted for strawberry = three tenths = \(\frac{3}{10}\) No. of students who voted for vanilla = \(\frac{21}{100}\) No. of students who voted for chocolate = \(\frac{4}{10}\) What do you need to find? Total No. of students who voted for vanilla or chocolate 2. Plan No. of students who voted for strawberry are extra information here. Total No. of students who voted for vanilla or chocolate = \(\frac{21}{100}\) + \(\frac{4}{10}\) 3. Solve \(\frac{21}{100}\) + \(\frac{4}{10}\) = \(\frac{21}{100}\) + \(\frac{40}{100}\) = \(\frac{21 +40}{100}\) = \(\frac{61}{100}\) Therefore, Total No. of students who voted for vanilla or chocolate = \(\frac{61}{100}\) 4. Check Checked and it makes sense.

Question 7. Harper and his mom are making trail mix for a party. Two tenths of the trail mix is pretzels and \(\frac{32}{100}\) of the trail mix is cereal. The party starts at 1:00 P.M. How much of the trail mix is pretzels or cereal? Answer: The amount of trail mix which is pretzels or cereal = \(\frac{52}{100}\) There is an extra information here. 1. Understand What facts do you know? Two tenths, which is \(\frac{2}{10}\) of the trail mix is pretzels and \(\frac{32}{100}\) of the trail mix is cereal. The party starts at 1:00 P.M. What do you need to find? The amount of trail mix which is pretzels or cereal 2. Plan The party starts at 1:00 P.M is the extra information here. The amount of trail mix which is pretzels or cereal = \(\frac{2}{10}\) + \(\frac{32}{100}\) 3. Solve \(\frac{2}{10}\) + \(\frac{32}{100}\) = \(\frac{20}{100}\) + \(\frac{32}{100}\) = \(\frac{20 + 32}{100}\) = \(\frac{52}{100}\) Therefore, The amount of trail mix which is pretzels or cereal = \(\frac{52}{100}\) 4. Check Checked and it makes sense.

McGraw Hill My Math Grade 4 Chapter 10 Lesson 8 My Homework Answer Key

Question 2. Mathematical PRACTICE Make a Plan There are 100 books in the library. There are non-fiction and fiction books. Write the fraction of the books that are fiction. Answer:  There is missing information here 1. Understand What facts do you know? Make a Plan There are 100 books in the library. There are non-fiction and fiction books. What do you need to find? The fraction of the books that are fiction 2. Plan There is no proper information regarding number of fiction and non-fiction books. So, there is missing information here, there hence we cannot calculate the fraction of the books that are fiction.

Question 3. Sean has a collection of coins. One tenth of the coins are from Europe. Thirty-two hundredths are from Asia. The rest are from Africa. Write a decimal to show the total part of the coins that are from Europe or Asia. Answer: The decimal number to show the total part of the coins that are from Europe or Asia = 0.42 There is an extra information here. 1. Understand What facts do you know? One tenth of the coins are from Europe. Thirty-two hundredths are from Asia. The rest are from Africa. What do you need to find? The decimal number to show the total part of the coins that are from Europe or Asia. 2. Plan One tenth of the coins are from Europe, which is \(\frac{1}{10}\) Thirty-two hundredths are from Asia, which is \(\frac{32}{100}\) the total part of the coins that are from Europe or Asia = \(\frac{1}{10}\) + \(\frac{32}{100}\) 3. Solve \(\frac{1}{10}\) + \(\frac{32}{100}\) = \(\frac{10}{100}\) + \(\frac{32}{100}\)  = \(\frac{10 + 32}{100}\) = \(\frac{42}{100}\) Therefore, The total part of the coins that are from Europe or Asia = \(\frac{42}{100}\) = 0.42 in decimal 4. Check Checked and it makes sense.

Question 4. Kenley has 100 songs on her digital music player. Of the songs, seventeen-hundredths are country songs, two-tenths are musicals, and four-tenths are classical music songs. What part of the songs are either country or musicals? Write as a decimal. Answer: The part of the songs are either country or musicals  = \(\frac{37}{100}\) = 0.37 in decimal There is an extra information here 1. Understand What facts do you know? Kenley has 100 songs on her digital music player. Of the songs, seventeen-hundredths are country songs, two-tenths are musicals, and four-tenths are classical music songs. What do you need to find? The part of the songs are either country or musicals 2. Plan seventeen-hundredths are country songs, which is \(\frac{17}{100}\) two-tenths are musicals, which is \(\frac{2}{10}\) The information regarding classical music songs are extra information here. The part of the songs are either country or musicals  = \(\frac{17}{100}\) + \(\frac{2}{10}\) 3. Solve \(\frac{17}{100}\) + \(\frac{2}{10}\) = \(\frac{17}{100}\) + \(\frac{20}{100}\) = \(\frac{17 + 20}{100}\) =  \(\frac{37}{100}\) therefore, The part of the songs are either country or musicals  = \(\frac{37}{100}\) = 0.37 in decimal

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Chapter 4, Lesson 4: Problem–Solving Investigation: Draw a Diagram

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Chapter 4, Lesson 6: Problem–Solving Investigation: Draw a Diagram

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