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Unit 1: Data About Us 1.6-Solving Problems About Room 204 What did you learn about your new class by using data in this unit?  Unit 2: Geometric Investigations 2.2-Perimeter vs. Length How long did you make your runways? Explain why you chose these lengths?  Unit 3: Numbers and Number Operations 3.1-Multiplying and Dividing by 5s and 10s Why do you think we call four facts like these: 5 X 6 = 30, 6 X 5 = 30, 30 5 = 6  30 6 = 5 a fact family? Unit 3: Numbers and Number Operations 3.4-The TIMS Candy Company Explain how the Roman number system is different from our number system.  Unit 5: Using Data to Predict 5.1-Predictions from Graphs The Olympic Long Jump graph tells a story. Write this story in words. Unit 5: Using Data to Predict 5.3-The Meaning of the Mean John said, The average family on my block has two pets. What do you think he means? Unit 5: Using Data to Predict 5.4-Bouncing Ball Did your group work together cooperatively? Describe something someone in your group said that helped your group work better together. Unit 5: Using Data to Predict 5.5-Two Heads Are Better Than One [AB] On what kinds of projects or class assignments do you like to work with a partner or group? When do you like to work alone? Unit 5: Using Data to Predict 5.6-Professor Peabody Invents a Ball How can a graph help solve problems?  Unit 6: Place Value Patterns 6.2-Doubles Students can read other versions of the story and report to the class. How are the stories alike? How are they different? Unit 6: Place Value Patterns 6.3-Big Base-Ten Pieces Using patterns in the Place Value Chart and the shapes of the models that we built today, explain how you would construct a model for 10 million. Unit 6: Place Value Patterns 6.4-News Number Line If we extend our number line to show 10 million, how many more metersticks will we need? Explain. Unit 6: Place Value Patterns 6.5-Close Enough How can you find 10% of a number? Describe all the ways you know. Unit 6: Place Value Patterns 6.6-Using Estimation Think about using numbers. Describe at least two occasions when it is important to use exact numbers and two occasions when it is okay to use round numbers. Unit 6: Place Value Patterns 6.7- 9 to 5 War Find and describe a pattern that you can use to help you multiply by 9.  Unit 7: Patterns in Multiplication 7.1-Order of Operations Suppose you have a calculator but you dont know whether it uses the correct order of operations. Explain how you can find out. Be specific. Unit 7: Patterns in Multiplication 7.3-Oh, No! My Calculator is Broken! How is knowing more than one strategy for finding a solution to a problem helpful? Give examples of times you have solved a problem in more than one way. Unit 7: Patterns in Multiplication 7.4-Multiplying by 10s Why can multiplication problems be turned around? Can addition problems be turned around? How about subtraction problems? What about division problems? Explain. Unit 7: Patterns in Multiplication 7.7-Multiplying Round Numbers Write a letter to a friend explaining how many zeros are in 600 X 50.  Unit 8: An Assessment Unit 8.1-Volume How can you measure the volume of a rock which is too large to fit inside a graduated cylinder? Unit 8: An Assessment Unit 8.2-Fill it First What strategies did you use to predict the volume of marbles in the graduated cylinder while you were playing the game? Unit 8: An Assessment Unit 8.3-Volume vs. Number Think back to the beginning of the school year. Do you work better in a group now tan you did then? Why or why not? Unit 8: An Assessment Unit 8.5-Hour Walk Explain how your group worked on the problem together. What did each member do the group do to help?  Unit 9: Shapes and Solids 9.2-Whats Your Angle? Explain why the measure of an angle does not depend on the length of the sides of the angle. Unit 9: Shapes and Solids 9.5-Prisms Write a story in which Professor Peabody and Sweet P. return to Flatopia and have further adventures. Among the things that they might find out are: what is the weather like in Flatopia, how do Flatopians grow vegetables, what jobs do various shapes have, and who are some other members of the royal family? Remember all living things in Flatopia are polygons. Review Dr. Newtons description of Flatopia on page 36 before you begin writing your story. Unit 9: Shapes and Solids 9.5-Prisms Pick a prism. Describe in words what you would see as you look at the prism from various perspectives (various angles). Unit 9: Shapes and Solids 9.6-Finding the Volume of a Prism Write a letter to a friend describing how to find the volume of a box. You may use a specific example, if you wish. Unit 9: Shapes and Solids 9.7-Building an Octahedron Write a letter to a friend describing the solid you made in class. Use the terms: faces, edges, vertices.  Unit 10: Using Decimals 10.1-m, dm, cm, mm Most door handles are about one meter from the floor. Why do you think this is? Can you think of another example of something that is most always made the same size? Unit 10: Using Decimals 10.3-Hundredths What are the trading rules for decimals? How many hundredths do you trade for one-tenth? How do decimal trading rules compare with whole number trading rules? Unit 10: Using Decimals 10.4-Downhill Racer Why is it better to measure the distance to the nearest hundredth of a meter instead of to the nearest whole meter, or to the nearest tenth of a meter, or to the nearest thousandth of a meter?  Write a story about a team that didnt control an important variable in Downhill Racer. Tell what they failed to control and what happened. Unit 11: Multiplication 11.2-More Multiplication A member of your group computed 4 X 365 in the following way: 365 X 4 20 24 + 120 164 Did he or she do the problem correctly? If not, explain why it is not correct and how to fix the computation to get the correct answer. How would estimating the product help you advise your group member? Unit 11: Multiplication 11.4-All Partials Revisited Tell a story for the multiplication sentence 52 X 43 and solve. Unit 11: Multiplication 11.6-Phi and Howards Excellent Egyptian Adventure [AB] Describe some ways in which the Egyptian number system is different from our number system?  Unit 12: Exploring Fractions 12.2-Adding and Subtracting with Fraction Strips Michael completed the following problem: 3 + 2 = 5 8 8 16 Is his answer correct? Why or why not? Unit 12: Exploring Fractions 12.3-Comparing Fractions 1 Explain why 2 is a good benchmark to use when comparing the sizes of different fractions. Unit 12: Exploring Fractions 12.6-Pattern Block Fractions Ana walked half a block from her house to her aunts house. Jacob walked half a block from his house to the store. Did Ana and Jacob walk the same distance? Explain your answer.  Unit 13: Division 13.1-TV Survey Write a letter to your parents describing the results of the TV Survey. What does the survey tell you about TV habits of fourth-graders in your class? Unit 13: Division 13.2-Division Write a story for the division sentence 96 7 = Solve the problem. Explain any remainder.  Unit 14: Chancy Predictions 14.1-Chance Discussions Why do you think probability is an important idea? Unit 14: Chancy Predictions 14.2-Bean Counters Game Describe a winning strategy for the game. Explain why you chose that strategy. Unit 14: Chancy Predictions 14.3-Rolling a Number Cube What have you learned about probability and a number cube? Unit 14: Chancy Predictions 14.4-From Number Cubes to Spinners How would a spinner look that reflects a greater chance of spinning a 4 than the other numbers? Sketch a spinner to help explain.  Unit 15: Using Patterns 15.1X-Plant Growth Conclusion Imagine a plant living somewhere outdoors. The graph in homework Question 5 in the Student Guide is the graph of its growth over the first 21 days of its life. Write a story of how it grew.  Unit 16: Assessing Our Learning 16.1-Experiment Review Which two experiments did you like best? What did you like about each one? How are they alike? How are they different? Unit 16: Assessing Our Learning 16.4-The Many-Eyed Dragonfly Evaluate how well your group worked together. What strategies did you use in your group to help each group member understand the problem? 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