Math Challenges and Tasks for Students

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Engage students with math challenges involving counting books on shelves, calculating seats in a movie theater, arranging desks for students, understanding number patterns, and solving various math problems. Includes a mini performance task and questions for a class project.

  • Math Challenges
  • Student Tasks
  • Problem Solving
  • Classroom Activities

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Presentation Transcript


  1. Week 1 1

  2. Math Corner There are four shelves of books. Fifteen books are on each shelf. How many books are there in all? Explain the strategy you used to solve and check your answer.

  3. Math Corner The seats at the movie theater are in an array. There are six rows and seven columns. How many seats are there in the movie theater? Use two strategies to prove your thinking.

  4. Math Corner You have 24 students in your classroom. Draw a picture showing at least two different ways your teacher could arrange the desks. Explain your thinking using pictures, numbers, and words.

  5. Math Corner Complete the pattern and answer the questions below. 4,8,12,16, __, __,___ 1. 2. 3. What are the possible RULES for this pattern? How can this pattern relate to multiplication? How can you use patterns to solve problems?

  6. Lets Review! Read each question carefully and solve. You must show your math thinking for each question. You have 15 minutes, so use your time wisely. 6

  7. 2. There are 25 students in Mrs. Jackson s class. Each student brought in 3 rocks for a class project. How many rocks in all did the students bring? 3. What equation can you use to check this problem? 4. Kim baked 36 muffins for her 9 friends. Each friend received the same number of brownies. How many brownies did each friend receive? 1. What number can be added to 5 to make 32? x 9 = 4 Mini Performance Task *#1 should be created as a class. #2-7 should be completed independently. 1. Create a tally chart entitled, The Number of Letters in our Last Name. 2. Create a line plot graph using this data. 3. How many students have more than five letters in their last name? 4. How many students have less than seven letters in their name? 5. How many students took the survey? 6. Write one more question that can be answered using this data. 7. Compare your findings. Mini Performance Task Use the table below. How many birdhouses can Dylan make in 8 hours? 3 hours, 6 houses 6 hours, 12 houses 9 hours, 18 houses 7

  8. Week 2 8

  9. Math Corner Complete the pattern and explain the RULE. 8, 12, 16, 20, 24, ___, ___, ___ 1. What are the possible RULES for this pattern? How can this pattern relate to multiplication? How can you use patterns to solve problems? 2. 3.

  10. Math Corner Jessie wants to put 5 cookies on a plate. Jessie baked 95 cookies. How many plates will he need? Solve using 2 different strategies.

  11. Math Corner How does the order of the digits in a multiplication problem change the product? Does this relate to a particular property? 1. Write a story problem where 6 is the number of groups and 8 is the number of items in each group. 2. Illustrate and solve your problem using 2 strategies. 3. Share your work with a friend.

  12. Math Corner Solve using repeated subtraction and one other strategy. There are 81 students and 9 vans. Each van needs to have an equal number of passengers. How many students will ride each van?

  13. Math Corner There are 97 students at the pizza party. Each student will get one slice. How many pizzas should Mrs. Holmes order if there are 8 slices per pizza?

  14. Lets Review! Read each question carefully and solve. You must show your math thinking for each question. You have 15 minutes, so use your time wisely. 14

  15. 1. James has 403 large rocks and 291 small rocks. How many large and small rocks does he have in all?? 2. Andy has 32 red marbles. He has 865 blue marbles. How many more blue marbles than red marbles does he have? 3. Thea used blocks to make 12 towers. Each tower had 4 blocks. How many blocks did Thea use in all? 4. There are 66 passengers on the train. If 6 passengers fit on each row, how many rows are there? A. 77 B. 72 C. 10 D. 11 A. 693 B. 692 C. 612 D. 493 A. 1,185 B. 997 C. 897 D. 833 A. 48 B. 36 C. 24 D. 16 Free Response: You see a group of 15 gray sharks. Then, you see 3 more groups of gray sharks, with 15 in each group. How many gray sharks did you see in all? 15

  16. Week 3 16

  17. Math Corner Write a story problem about the following expression. Solve using the partial products method and TWO other ways. 6 x 42

  18. Math Corner Ms. Wooden is buying cookies for her class. She has 21 children and wants each child to receive 4 cookies. How many cookies does she need to buy? Explain your thinking using the partial products method and one other way.

  19. Math Corner Solve with pictures and numbers. There are 38 doughnuts. Eight friends will share the doughnuts equally. How many doughnuts will each friend get? What else do you notice?

  20. Math Corner The magic number is: 32 Figure out a way to reach this product using: 1. Repeated addition 2. Array models 3. Skip counting 4. Equal grouping

  21. Math Corner The magic number is: 49 Figure out a way to reach this product using: 1. Repeated SUBTRACTION. 2. Multiplication 3. Equal grouping

  22. Lets Review! Read each question carefully and choose the best answer choice. You must show your math thinking for each question. You have 10 minutes, so use your time wisely. 22

  23. 1. Jeff bought 5 packages of buttons. Each package had 15 buttons. Which number sentence can be used to find the total number of buttons that Jeff bought? 2. Dana wanted to sew a dress. She bought 6 yards of white cloth, 5 yards of blue cloth, 9 yards of ribbon, and 7 yards of lace. She also bought 3 yards of pink cloth. How many yards of cloth did Dana buy in all? 3. Three friends want to go on a ride. Each ride costs 4 tickets. The friends already have 9 tickets. How many more tickets do the friends need to go on the ride? 4. A package of construction paper has 35 sheets. There are 7 colors in each pack. How many of each color are there in a pack of construction paper? A. 3 B. 13 C. 16 D. 21 A. 15 5 = 10 B. 5 + 15 = 20 C. 15 5 = 3 D. 5 x 15 = 75 A. 14 B. 31 C. 32 D. 36 A. 5 B. 7 C. 42 D. 28 Free Response: Aaron had 24 individual juice drinks. Then, he bought 3 packages of juice drinks. There are 6 drinks in one package. How many drinks does Aaron have now? 23

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