Lesson 6 Problem-Solving Investigation
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Hamilton provide an extensive suite of problem-solving maths investigations for Year 6 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor – high ceiling' activities for all.
Explore all our in-depth problem solving investigations for Year 6 .
Use problem-solving investigations within every unit to encourage children to develop and exercise their ability to reason mathematically and think creatively.
Investigations provide challenges that offer opportunities for the development of the key mathematical skills while deepening conceptual understanding. They are designed to be accessible in different ways to all children. An added bonus is the substantial amount of extra calculation practice they often incorporate! The problems are designed to help children identify patterns, to explore lines of thinking and to reason and communicate about properties of numbers, shapes and measures.
Hamilton provide a mix of our own specially commissioned investigations, that include guidance for teachers together with a child-friendly sheet to guide your pupils through the investigation, as well as links to investigations on other highly regarded websites.
I am very grateful for Hamilton Trust resources, particularly the maths investigations. Julia, teacher in Wiltshire
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Hamilton’s problem-solving investigations are 'low floor, high ceiling' activities that give all children opportunities to develop mastery and mathematical meta-skills. Explore a set for a whole year group.
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McGraw Hill My Math Grade 3 Chapter 5 Lesson 6 Answer Key Problem-Solving Investigation: Use Models
All the solutions provided in McGraw Hill Math Grade 3 Answer Key PDF Chapter 5 Lesson 6 Problem-Solving Investigation: Use Models will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Answer Key Chapter 5 Lesson 6 Problem-Solving Investigation: Use Models
Learn the Strategy Mia has 18 items that need to be split evenly among 3 welcome baskets. How many items will Mia put in each basket? 1. Understand What facts do you know? ____ items need to be split evenly among ___ baskets What do you need to find? the number of _____ Answer: 18 items, 3 baskets. We need to find the no of items Mia put in each basket. The number of items is 6.
Explanation: The facts we know are Mia has 18 items No of welcome baskets = 3 To find: How many items will Mia put in each basket? 2. Plan I will make a model to find _____ Answer: The plan is how to find the number of items Mia put in each basket.
Explanation: I will use counters to model the problem by placing 6 counters at a time in each group. The model shows that 18 ÷ 3 = 6. So, Mia will fill each basket with 6 items.
4. Check Does your answer make sense? Explain. Answer: Yes, the answer is reasonable.
Explanation: We need to divide the no of counters by the number of items. 18 18 ÷ 6 = 3 items. Hence the answer is reasonable.
Practice the Strategy
What do you need to find? ________________ Answer: We need to find out how many pets did she help each day.
2. Plan ________________ Answer: The plan is to find out how many pets she helps each day. We can find that by dividing the given number of pets by the number of days.
3. Solve Answer: Given, No of the pets a veterinarian helped from Monday to Friday is 20. No of days = 4 20 ÷ 4 = 5 Hence the answer is 5 pets. 4. Check
Does your answer make sense? Explain. ________________ ________________ Answer: Yes, the answer makes sense.
Explanation: The plan is to find out how many pets she helps each day. We need to divide the given number of pets by the number of days. Then we will get the answer as we solved. 20 ÷ 4 = 5 pets. Hence the answer is reasonable.
Apply the Strategy
Solve each problem by using a model.
Explanation: Given, Jill has 27 blocks. She divides them equally into bowls. No of the bowls are 3 27 ÷ 3 = 9 There are 12 blocks in each row.
Question 2. The owner of an apartment building needs to fix 16 locks in four of his apartments. Each apartment has the same number of locks that needs to be fixed. How many locks in each apartment need to be fixed? Answer: 16 ÷ 4 = 4 locks
Explanation: No of locks in four of his apartments = 16 No of apartment = 4 16 ÷ 4 = 4 locks There are 4 locks in each apartment that needs to be fixed.
Question 3. A baker used a dozen eggs to make 3 cakes. The recipe called for each cake to have the same number of eggs. How many eggs were used in each cake? (Hint: 1 dozen = 12) Answer: 4 eggs
Explanation: No of eggs = Dozen = 12 No of the cakes he baked = 3 12 ÷ 3 = 4 eggs. Hence there are 4 eggs were used in each cake.
Question 4. There are 13 girls and 11 boys that want to play a game. They need to make 4 teams. How many players will be on each team if each team needs an equal number of players? Answer: 13 + 11 = 24 players 24 ÷ 4 = 6 players
Explanation: Given, No of girls = 13 No of boys = 11 They need to make 4 teams Total no of players = 13 + 11 = 24 24 ÷ 4 = 6 players Therefore there are 6 players on each team.
Review the Strategies
Use any strategy to solve each problem.
- Determine reasonable answers.
- Use an estimate or exact answer.
- Use models.
Question 5. Mathematical PRACTICE 2 Use Number Sense Sarah needs 15 pieces of chalk for a project. Each box contains 3 pieces of chalk. How many boxes of chalk will she need to buy? Answer: 15 × 3 = 45
Explanation: Sarah has 15 pieces of chalk Each box contains 3 pieces of chalk. 15 × 3 = 45 boxes Therefore she needs 45 boxes of chalk to buy.
Question 6. Brooke volunteers to read with young children 5 nights a month. She spends 2 hours each visit. This month, she volunteered one extra night. How many hours did she read with the children this month? Answer: 12 hours.
Explanation: Number of nights in a month = 5 She spent 2 hours each visit. she volunteered one extra night 5 × 2 = 10 10 + 2 = 12 hours. She read for 12 hours with the children this month.
Question 7. Mathematical PRACTICE 4 Model Math A chef will make pizzas. He has broccoli, peppers, onions, pepperoni, and sausage. How many types of pizzas can be made with one type of vegetable and one type of meat? Name the combinations. Answer: Six different pizzas can be made with one vegetable and one meat.
Explanation: Given, chef has broccoli, peppers, onions, pepperoni, and sausage The combinations are broccoli, pepperoni broccoli, sausage peppers, pepperoni peppers, sausage onions, pepperoni onions, sausage
Explanation: The weight of the brown bear is 700 pounds. The actual weight is 634 pounds. 700 – 634 = 66 pounds. The estimation of the actual weight is 66 pounds.
McGraw Hill My Math Grade 3 Chapter 5 Lesson 6 My Homework Answer Key
Problem Solving
Question 1. Brandon spent $20 on school supplies. He bought five different items that each cost the same amount. How much did each item cost? Use a model to solve. Each item cost _____. Answer: $20 ÷ 5 = $4
Explanation: The cost spent on school supplies = $20 He bought five different items. $20 ÷ 5 = 4 The cost of each item is $4. Each item cost $4.
Question 2. Mathematical PRACTICE 5 Use Math Tools Alice planted 6 tomato plants, 4 bean plants, and 2 pepper plants. Each row had 6 plants. How many rows did Alice plant? Answer: Alice planted 2 rows in total.
Explanation: Given, No of tomato plants = 6 No of bean plants = 4 No of pepper plants = 2 Total plants = 6 + 4 + 2 = 12 There are 6 plants in each row So divide 12 by 6 to get the number of rows used to plant 12 plants. 12 ÷ 6 = 2 Hence the answer is 2 rows.
Question 3. At the circus, there are 18 clowns. The clowns drive around in little cars. If there are 3 clowns in each car, how many cars are there? Answer: 18 ÷ 3 = 6 cars
Explanation: Given, No of clowns = 18 No of the clowns in each car is = 3 18 ÷ 3 = 6 cars There are 6 cars at the circus.
Question 4. Mr. and Mrs. Carson took Sarah, Brent, and Joanie to see a movie. They paid $50 in all. The Carsons spent $15 on snacks. How much did each ticket cost? Answer: $7
Explanation: Given, Mr. and Mrs. Carson took Sarah, Brent, and Joanie to see a movie There are a total of 5 people. They paid $50 in all. The Carsons spent $15 on snacks $50 – 15 = $35 $35 ÷ $5 = $7 Therefore each ticket cost = $7
Question 5. Mrs. Glover had 25 rare coins. She divided them evenly among her 5 grandchildren. How many coins did each grandchild get? Answer: 25 ÷ 5 = 5 coins
Explanation: No of the coins Mrs. Glover has = 25 coins. No of the grandchildren Mrs. Glover has = 5 25 ÷ 5 = 5 coins Therefore each grandchild gets 5 coins.
Question 6. A singer performed 9 songs at a recital. She had 3 weeks to practice. How many songs did she practice each week if she practiced an equal number of songs each week? Answer:
Explanation: No of the songs performed at a recital = 9 No of weeks she had to practice = 3 To find: How many songs did she practice each week if she practiced an equal number of songs each week? 9 ÷ 3 = 3 She practiced 3 songs each week.
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My Math 5 Volume 1 Common Core, Grade: 5 Publisher: McGraw-Hill
My math 5 volume 1 common core, title : my math 5 volume 1 common core, publisher : mcgraw-hill, isbn : 21150249, isbn-13 : 9780021150243, use the table below to find videos, mobile apps, worksheets and lessons that supplement my math 5 volume 1 common core., textbook resources.
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Chapter 6, Lesson 2: Problem-Solving Investigation: Use Logical Reasoning
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Chapter 6, Lesson 5: Problem-Solving Investigation: Look for a Pattern
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Lesson Resources Extra Examples Group Activity Cards Personal Tutor Self-Check Quizzes. Hotmath Homework Help ... Concepts, Skills, and Problem Solving, Course 2. Chapter 9, Lesson 6: Problem-Solving Investigation: Act It Out. Extra Examples; Group Activity Cards; Personal Tutor; Self-Check Quizzes; Log In. The resource you requested requires ...
Use the Fundamental Counting Principle to find the total number of outcomes in each situation. rolling two number cubes and tossing one coin. choosing rye or Bermuda grass and 3 different mixtures of fertilizer. making a sandwich with ham, turkey, or roast beef; Swiss or provolone cheese; and mustard or mayonaise.
Study Guide and Interventionworksheet for every lesson in Glencoe California Mathematics, Grade 6. Always keep your workbook handy. Along with your textbook, daily homework, and class notes, the completed Study Guide and Intervention Workbookcan help you review for quizzes and tests.
ID: 444916. 25/10/2020. Country code: AE. Country: United Arab Emirates. School subject: Math (1061955) Main content: Lesson 6 Problem-Solving Investigation: Make a Table (1179102) Lesson 6 Problem-Solving Investigation: Make a Table.
Lesson 6 Problem-Solving Investigation Lesson 6 Problem-Solving Investigation. Loading ad... ProfDan Member for 3 years 3 months Age: 5-10. Level: 3. Language: English (en) ID: 461926. 01/11/2020. Country code: AE. Country: United Arab Emirates. School subject ...
the investigation. For instance, in any one investigation lesson a student might learn any or all of the following: i) A new mathematical fact or technique. This will be something which the students need in order to pursue the investigation. The students will seek the new information them selves. They could find it out from you or from a peer
Lesson Resources Extra Examples Group Activity Cards Personal Tutor Self-Check Quizzes Animation. Hotmath Homework Help ... Math Connects: Concepts, Skills, and Problem Solving, Course 1. Chapter 9, Lesson 6: Problem Solving Investigation: Draw a Diagram. Extra Examples; Group Activity Cards; Personal Tutor; Self-Check Quizzes; Log In. The ...
By Nick Barwick - 7 Aug 2018. Hamilton provide an extensive suite of problem-solving maths investigations for Year 6 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor - high ceiling' activities for all. Explore all our in-depth problem solving investigations for Year 6.
McGraw-Hill My Math Grade 3 Answer Key Chapter 6 Lesson 6 Problem-Solving Investigation: Look for a Pattern. Learn the Strategy In the first row of her tile pattern, Christina uses 2 tiles. She uses 4 tiles in the second row, 8 tiles in the third row, and 16 tiles in the fourth row. If she continues the pattern, how many tiles will be in the ...
Lesson 13: Problem Solving Investigation: Determine Extra or Missing Information 1. Word problems with extra or missing information ... Lesson 6: Problem Solving Investigation: Solve a Simpler Problem 1. Divide 4-digit numbers by 2-digit numbers: word problems 5 Chapter 5. Add and Subtract Decimals ...
All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 1 Lesson 6 Problem Solving Investigation: Use the Four-Step Plan will give you a clear idea of the concepts. McGraw-Hill My Math Grade 4 Answer Key Chapter 1 Lesson 6 Problem Solving Investigation: Use the Four-Step Plan. 1. Understand What facts do you know?
Year 6 Maths Mastery Resources: a comprehensive set of teaching materials, perfect for developing your pupils' fluency, reasoning and problem-solving skills. Maths Investigations: a huge range of worksheets and games, which are perfect for developing your pupils' maths knowledge and skills. Mystery Games: fun and engaging, these maths mystery ...
Year 6 Maths Mastery Resources: a comprehensive set of teaching materials, perfect for developing your pupils' fluency, reasoning and problem-solving skills. KS2 Maths Investigations: a huge range of worksheets and games, which are perfect for developing your pupils' maths knowledge and skills. KS2 Mystery Games: fun and engaging, these maths ...
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Lesson Resources Extra Examples Group Activity Cards Personal Tutor Self-Check Quizzes. Hotmath Homework Help ... Concepts, Skills, and Problem Solving, Course 1. Chapter 9, Lesson 6: Problem Solving Investigation: Draw a Diagram. Extra Examples; Group Activity Cards; Personal Tutor; Self-Check Quizzes; Log In. The resource you requested ...
6th side is 6 then 6 + 6 = 12. The number of dots are 2 + 4 + 6 + 8 + 10 + 12 = 42. Therefore the number of dots are 42. McGraw Hill My Math Grade 3 Chapter 7 Lesson 6 My Homework Answer Key. Problem Solving. Determine if there is extra or missing information to solve each problem. Then solve if possible. Question 1. Brandy ate 9 corn chips for ...
All the solutions provided in McGraw Hill Math Grade 3 Answer Key PDF Chapter 5 Lesson 6 Problem-Solving Investigation: Use Models will give you a clear idea of the concepts. McGraw-Hill My Math Grade 3 Answer Key Chapter 5 Lesson 6 Problem-Solving Investigation: Use Models. Learn the Strategy
Chapter 7: Expressions and Patterns. My Math 5 Volume 1 Common Core grade 5 workbook & answers help online. Grade: 5, Title: My Math 5 Volume 1 Common Core, Publisher: McGraw-Hill, ISBN: 21150249.
Write this amount in exponential form. 3. VOLUME To find the volume of a rectangular box you multiply the length times the width times the height. In a cube all sides are the same length. If the cube has length, width, and height of 6 inches, write the volume as a product. Then write it in exponential form. 4.
Lesson Resources Extra Examples Group Activity Cards Personal Tutor ... Home > Chapter 6 > Lesson 2. California Mathematics: Concepts, Skills, and Problem Solving, Grade 7. Chapter 6, Lesson 2: Problem-Solving Investigation: Use Logical Reasoning. Extra Examples; Group Activity Cards; Personal Tutor; Self-Check Quizzes; Log In. The resource you ...
Lesson Resources Extra Examples Group Activity Cards Personal Tutor Self-Check Quizzes ... Mathematics. Home > Chapter 9 > Lesson 6. Oklahoma Math Connects Concepts, Skills, and Problem Solving Course 1. Chapter 9, Lesson 6: Problem Solving Investigation: Draw a Diagram. Extra Examples; Group Activity Cards; Personal Tutor; Self-Check Quizzes ...
Chapter 6, Lesson 5: Problem-Solving Investigation: Look for a Pattern. Extra Examples. Group Activity Cards. Personal Tutor. Self-Check Quizzes.