3. Complete. 3. For Problem 3, some students wrote that Mya sold

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1 Name: Writing Reasoning Activities - Gr 4 Lesson 1-3 5b. Add mentally or with a paper-andpencil algorithm. 5b. Describe how you might solve Problem 5b mentally. Name: Writing Reasoning Activities - Gr 4 Lesson Complete. 3. For Problem 3, some students wrote that Mya sold boxes of cookies. Explain the mistake they might have made when reading the graph.

2 Name: Writing Reasoning Activities - Gr 4 Lesson Which of the shape(s) below are NOT polygons? 2. Explain why the shapes you chose in Problem 2 are not polygons. Name: Writing Reasoning Activities - Gr 4 Lesson Subtract mentally. a. 9 7 = b = 1. How can you use a basic subtraction fact like 9 7 in Problem 1 to solve an extended subtraction fact like ? c. = 16 8 d. = 17 7 e = f. = 15-9

3 Name: Writing Reasoning Activities - Gr 4 Lesson A giant tortoise can live for about 150 years. An elephant can live for about 78 years. About how much longer can a giant tortoise live than an elephant? Fill in the circle next to the best answer. 5. Look at Problem 5. About how many days longer can the giant tortoise live than the elephant? How many hours? Explain what you did to find your answers. A. 88 years B. 238 years C. 72 years D. 228 years Name: Writing Reasoning Activities - Gr 4 Lesson Draw a convex polygon. 3. Explain how you know that the polygon you drew in Problem 3 is convex and not concave.

4 Name: Writing Reasoning Activities - Gr 4 Lesson Use your compass to draw a pair of concentric circles. 3. Explain how you know that the circles you drew for Problem 3 are concentric. Name: Writing Reasoning Activities - Gr 4 Lesson Name the two sides of parallel sides in parallelogram HIJK. 4. Explain how you know that the pairs of sides you chose in Problem 4 are parallel.

5 Name: Writing Reasoning Activities - Gr 4 Lesson Find the median of the data set. 3, 45, 13, 15, 3, 7, 19 Fill in the circle next to the best answer. a Suppose the data set in Problem 2 represents the number of hours each volunteer at an animal shelter worked during the month of July. What was the median number of minutes worked? Explain how you found your answer. b. 13 c. 15 d. 45 Do you think it makes more sense to report data like this in hours or in minutes? Why? Name: Writing Reasoning Activities - Gr 4 Lesson Draw a parallelogram. Label the vertices so that side AB is parallel to side CD. 4. Shaneel said, I can draw a rhombus, rectangle, square, or kite for Problem 4. Do you agree or disagree? Explain your answer.

6 Name: Writing Reasoning Activities - Gr 4 Lesson Add mentally. a = 1. Describe the patterns in the number sentences in Problem 1. b = c = d. = e. = f. = Name: Writing Reasoning Activities - Gr 4 Lesson Marissa looked at the multiplication 6. Multiply mentally. equation she wrote for problem 6b and said, I know that 30 is 5 times as many a. = 5 x 4 as 6. I also know that 30 is 6 times as many as 5. Write similar statements for b. 5 x 6 = the multiplication equation in Problem 6e. c. 9 x 3 = d. 4 x = 24 e. 6 x = 48

7 Name: Writing Reasoning Activities - Gr 4 Lesson Number of spelling words correct for 10 students on the spelling test: 2. Explain how you found the range of the data set in Problem 2. 25, 19, 16, 25, 18, 19, 25, 24, 25, 23 a. What is the range for this set of numbers? b. What is the median? Name: Writing Reasoning Activities - Gr 4 Lesson Complete. a. 3 yd = ft b. 4 ft = in c. 54 in = ft in 4. Suppose the measurements given in problems 4a 4d represent the lengths of 4 pieces of fabric Suma purchased at a craft store. What is the total number of feet of fabric she purchased? What is the total number of inches? d. ½ yd = ft in e. 17 ½ yd = in

8 Name: Writing Reasoning Activities - Gr 4 Lesson 3-4 3c. Mr. Rosario s fourth graders collected data about their favorite fruits. 3c. Explain how you solved Problem 3c. a. Which kind of fruit do students most prefer? b. Which kind is preferred least? c. Do more people prefer apples or peaches? d. About ¼ of the students prefer. Name: Writing Reasoning Activities - Gr 4 Lesson Riley estimated the height of his classroom ceiling. Circle the best estimate. a. 7 m b. 3 m c. 20 m 5. For Problem 5, suppose Riley wanted to estimate the height of the classroom ceiling in centimeters and millimeters instead of meters. Give the new measurements. Which unit of measurement (meters, centimeters, or millimeters) do you think makes the most sense for Riley s estimate? Why? d. 15 m

9 Name: Writing Reasoning Activities - Gr 4 Lesson Solve the riddle. Then use your Geometry Template to draw the shape. 4. Is the polygon in Problem 4 a regular polygon? Explain why or why not. I am a four-sided polygon. My two short sides are the same length. My two long sides are the same length. The sides of the same length are next to each other. What am I? Name: Writing Reasoning Activities - Gr 4 Lesson Sara estimated the length of her arm. Circle the best estimate. 5. Explain why you chose the measurement for Problem 5. a. 5 centimeters b. 50 centimeters c. 100 centimeters d. 150 centimeters

10 Name: Writing Reasoning Activities - Gr 4 Lesson What is the mode for the number of books read by the students? Circle the best answer. 3. Explain how you could use the bar graph in Problem 3 to find the total number of books read by the students. a. 3 b. 4 c. 5 d. 2 Name: Writing Reasoning Activities - Gr 4 Lesson Complete. a. Name all the factors of 12.,,,, 1. In Problem 1b, you wrote the factor pairs of 16. Is 16 a prime number or a composite number? Explain how you know., b. Name the factor pairs of 16. and and and

11 Name: Writing Reasoning Activities - Gr 4 Lesson 4-2 4d. Write as dollars and cents. a. 20 dimes = $. 4d. Explain the strategy you used in Problem 4d to convert 10 quarters and 7 dimes into dollars and cents. b. 20 nickels = $. c. 20 quarters = $. d. 10 quarters and 7 dimes = $. Name: Writing Reasoning Activities - Gr 4 Lesson Draw and label ray CT. Draw point A on it. 4. In Problem 4, is another name for? Explain why or why not.

12 Name: Writing Reasoning Activities - Gr 4 Lesson 4-5 4e. Solve each open sentence. 4e. Explain how you found the value of S in Problem 4e. Name: Writing Reasoning Activities - Gr 4 Lesson A Trumpeter Swan can weigh about 16.8 kilograms. A Manchurian Crane can weigh about 14.9 kilograms. How much heavier is a Trumpeter Swan than a Manchurian Crane? 3. For Problem 3, how many grams heavier is the Trumpeter Swan than the Manchurian Crane? Explain what you did to find your answer. kilograms

13 Name: Writing Reasoning Activities - Gr 4 Lesson 4-8 6a. Complete. a. Is 47 closer to 40 or 50? 6a. In Problem 6a, explain how you knew which number was closer to 47. b. Name the number halfway between 30 and 40. Name: Writing Reasoning Activities - Gr 4 Lesson Put these numbers in order from smallest to largest. 2. Explain the strategy you used to order the decimals in Problem

14 Name: Writing Reasoning Activities - Gr 4 Lesson Solve mentally. a. 40 x 50 = b. 70 x 300 = c. 60 x = 180 d. 90 x = One comparison statement for Problem 2a is 2,000 is 40 times as many as 50. Write another comparison statement to match the multiplication equation you wrote in Problem 2a. Now write two comparison statements to match the multiplication equation in Problem 2b. e. x 9 = 7,200 Name: Writing Reasoning Activities - Gr 4 Lesson If 1 centimeter on a map represents 200 miles, what do 4.5 centimeters represent? Fill in the circle next to the best answer. 5. Explain how you solved Problem 5.

15 Name: Writing Reasoning Activities - Gr 4 Lesson Divide mentally. 5. For Problem 5, explain a shortcut you might use to solve division problems. Name: Writing Reasoning Activities - Gr 4 Lesson Estimate the sum. Write a number model to show how you estimated. a Donato said that there is more than one correct answer for each of the estimates in Problem 2. Do you agree or disagree? Explain. Number model: b Number model:

16 Name: Writing Reasoning Activities - Gr 4 Lesson 5-6 4a. Write each number using digits. a. three hundred forty-two thousandths 4a. Devon wrote 342,000 for Problem 4a. Explain the error he might have made. b. six and twenty-five hundredths Name: Writing Reasoning Activities - Gr 4 Lesson This is a circle graph of what Seema does on a typical day. a. What does she spend he least amount of time doing? 1. In Problem 1, about how many minutes does Seema spend doing chores, eating, and relaxing each day? Explain how you got your answer. b. She spends about the same amount of time at school and doing homework as she does. c. About what fraction of the day does she spend doing chores, eating, and relaxing?

17 Name: Writing Reasoning Activities - Gr 4 Lesson You have 75 apples. You need 8 apples to make a pie. How many pies can you bake? 5. Explain how you determined the number of pies for Problem 5. Name: Writing Reasoning Activities - Gr 4 Lesson Draw lines to match each word to the correct pair or pairs of line segments. 3. For Problem 3, can intersecting lines be perpendicular lines? Explain.

18 Name: Writing Reasoning Activities - Gr 4 Lesson Round 409,381,886 to the nearest 2. Explain how you rounded the number in Problem 2 to the nearest ten million. Name: Writing Reasoning Activities - Gr 4 Lesson 6-3 4a. Complete. 4a. Explain how the exponent in Problem 4a changes the value of 10.

19 Name: Writing Reasoning Activities - Gr 4 Lesson Juan talked on the phone an average of 34 minutes per week for 1 whole year. About how many minutes did Juan spend on the phone in 1 year? 2. Winnona said there isn t enough information provided in Problem 2 to answer the question. Do you agree or disagree? Explain your answer. Number model: Answer: minutes Name: Writing Reasoning Activities - Gr 4 Lesson Wei said that both squares in 6. Circle the square that has 3 shaded. 1 Problem 6 have 3 shaded. Do you agree or disagree? Explain your answer.

20 Name: Writing Reasoning Activities - Gr 4 Lesson Complete the What s My Rule? table and state the rule. 2. Explain how to use the in and out numbers in Problem 2 to determine the rule. Name: Writing Reasoning Activities - Gr 4 Lesson Name the ordered number pair for each point plotted on the coordinate grid. 1. True or false? (5,0) and (0,5) are both ordered number pairs that can be used to describe the location of point A in Problem 1. Explain your answer.

21 Name: Writing Reasoning Activities - Gr 4 Lesson How did you determine whether the angle in Problem 2 was obtuse or acute? Name: Writing Reasoning Activities - Gr 4 Lesson What fraction of the clock face is shaded? Fill in the circle next to the best answer. 1. Describe the relationship between the fraction you chose in Problem 1 and the minutes on the clock face.

22 Name: Writing Reasoning Activities - Gr 4 Lesson 7-4 3b. 3b. Explain how you determined the number of months in Problem 3b. Name: Writing Reasoning Activities - Gr 4 Lesson How did you determine the number of squares you needed to circle in Problem 1?

23 Name: Writing Reasoning Activities - Gr 4 Lesson A bag contains 2. Explain how you solved Problem 2. 8 blue blocks, 2 red blocks, 1 green block, and 4 orange blocks. You put your hand in the bag and, without looking, pull out a block. About what fraction of the time would you expect to get a red block? Name: Writing Reasoning Activities - Gr 4 Lesson Explain why 2 2 inch might have been given as a possible answer in Problem 3.

24 Name: Writing Reasoning Activities - Gr 4 Lesson Multiply. Use a paper-and-pencil algorithm. 5. Describe two different ways to check your answer for Problem 5. = 68 * 124 Name: Writing Reasoning Activities - Gr 4 Lesson Write <, >, or = to make each number sentence true. 2. Explain the strategy you used to decide which fraction was greater in Problem 2e.

25 Name: Writing Reasoning Activities - Gr 4 Lesson If you spin the spinner below 100 times, how many times would you expect it to land 4. Explain how you solved Problem 4. on red? times on black? times on white? times Name: Writing Reasoning Activities - Gr 4 Lesson 8-3 2c. Insert >, <, or = to make each number sentence true. 2c. Describe the strategy you used in Problem 2c to decide which fraction, 4 7 or, is greater. 15 8

26 Name: Writing Reasoning Activities - Gr 4 Lesson Which number is closest to the product of 192 and 49? Circle the best answer. 4. Describe the strategy you used to estimate the product in Problem 4. A. 100 B. 1,000 C. 10,000 D. 100,000 Name: Writing Reasoning Activities - Gr 4 Lesson If you throw a die 420 times, about how many times would you expect to come up? Circle the best answer. 4. For Problem 4, write two probability questions for which the correct answer would be D 210 times. A. 70 times B. 100 times C. 50 times D. 210 times

27 Name: Writing Reasoning Activities - Gr 4 Lesson 8-8 4d. Add or subtract. 4d. Explain the strategy you used to solve Problem 4d.

28 Name: Writing Reasoning Activities - Gr 4 Lesson Without using your protractor, what would be the measure of angle QSR? Explain. Q Name: Writing Reasoning Activities - Gr 4 Lesson Find the area and perimeter of the rectangle. Include the correct units. 5. Suppose you tripled the length of the sides of the rectangle in Problem 5. What would happen to the area of the rectangle?

29 Name: Writing Reasoning Activities - Gr 4 Lesson Angle RLA is an (acute or obtuse) angle. 5. Mario said, Without using a protractor, I estimated that the measure of RLA in Problem 5 was about 45 o. Explain how Mario might have estimated the measure. Name: Writing Reasoning Activities - Gr 4 Lesson ft 7 in = in Choose the best answer. 3. Explain how you found the number of inches in Problem 3. a. 14 b. 24 c. 27 d. 31

30 Name: Writing Reasoning Activities - Gr 4 Lesson 9-7 1e. Calculate. 1e. Use a drawing and number models to explain how you found the percent for Problem 1e. Name: Writing Reasoning Activities - Gr 4 Lesson 9-8 2b. Name a percent value. 2b. Explain how you solved Problem 2b.

31 Name: Writing Reasoning Activities - Gr 4 Lesson What is the area of the parallelogram? Include the correct unit. 5. Draw another parallelogram that has the same area as the parallelogram in Problem 5. Does the parallelogram you drew have the same perimeter as the one in Problem 1? Explain your answer.

32 Name: Writing Reasoning Activities - Gr 4 Lesson c. Insert the decimal point in each product. 4c. What strategy did you use to insert the decimal point in Problem 4c? Name: Writing Reasoning Activities - Gr 4 Lesson Alberto and Lara estimated the weight of their adult cat. What is the most reasonable estimate? Fill in the circle next to the answer. 5. How did you choose the weight for the cat in Problem 5?

33 Name: Writing Reasoning Activities - Gr 4 Lesson Julia babysat for the family next door. Below are the hours she worked. 3. Calculate the mean number of hours Julia babysat last week and explain your strategy. Name: Writing Reasoning Activities - Gr 4 Lesson Sebastian and Joshua estimated the weight of their mother. What is the most reasonable estimate? Fill in the circle next to the best answer. a. 50 lbs 5. The weights in problem 5 are expressed in pounds. Make a table to show equivalent weight in ounces for 50; 150; 500; and 1000 lbs. Then explain how you converted the weights. b. 150 lbs c. 500 lbs d lbs

34 Name: Writing Reasoning Activities - Gr 4 Lesson A cinnamon raisin bagel has about 230 calories. How many calories are in one dozen bagels? About calories 6. For Problem 6, how would you determine the number of calories in bagels? Name: Writing Reasoning Activities - Gr 4 Lesson Round each number to the nearest tenth. 5. How did you round each number to the nearest tenth in Problem 5? a = b = c = d = e =

35 Name: Writing Reasoning Activities - Gr 4 Lesson When you roll a 6-sided die, about what fraction of the time would you expect a. a multiple of 2 to come up? 3. Use probability terms to describe the likelihood of each of the events in Problem 3. Explain your choice of language. b. a factor of 20 to come up?

36 Name: Writing Reasoning Activities - Gr 4 Lesson Fill in the blank with one of the words below. impossible 5. Look carefully at the bag of blocks in Problem 5. Describe two events that are equally alike. Express the probability of each event as a fraction. unlikely likely Without looking, it is that a B block will be pulled from the bag. Name: Writing Reasoning Activities - Gr 4 Lesson Name all the factors of each number. a In Problem 5, explain how you knew that you had listed all of the factors of a number. b. 32 c. 96

37 Name: Writing Reasoning Activities - Gr 4 Lesson b. 2b. Describe how you solved Problem 2b and how you might check your answer.