Grade 2 Student Edition

Problem Solving: Subtracting to CompareSolve each story problem. Can you solve it mentally?If you can, circle the P. If not, circle the O.1. Beth is 48 inches tall. Francis is 36 inches tall. How much taller is Beth than Francis?PO Beth is inches taller than Francis.2. Jesse’s marker is 18 centimeters long. His pen is 14 centimeters long. How much shorter is the penP than the marker?O The pen is centimeters shorter than the marker.3. George has 27 stamps in his collection. Mike has 25 stamps.P How many more stamps does George have?O George has more stamps in his collection.4. There are 50 orange kites and 37 blue kites on the shelf in the toy store. How many fewer blueP kites are there than orange kites?O There are fewer blue kites than orange kites.Chapter 8 Lesson 13 289

Solve each story problem. Can you solve it mentally?If you can, circle the P. If not, circle the O.1. Matt’s backyard is 32 meters long. Gregg’s backyard is 20 meters long. How many less meters long isP Gregg’s backyard?O The length of Gregg’s backyard is meters less than the length of Matt’s backyard.2. Sarah has 62 stickers in her collection. Camila has 53 stickers in her collection. How many fewerP stickers does Camila have?O Camila has fewer stickers than Sarah.3. Ariel’s painting is on a canvas that is 48 inches wide. Abe’s painting is on a canvas that is 42 inches wide. P How much wider is Ariel’s canvas than Abe’s canvas?O Ariel’s canvas is inches wider than Abe’s canvas.4. There are 86 children who come to school by bus. There are 37 children who walk to school. How many more children come to school by bus than those P who walk to school?O There are more children who come to school by bus.290

End-of-Chapter ReviewUse a ruler to measure the lengths of these objects to the nearest inch.1. inches2. inchesUse a paper clip to estimate the lengths of these objects.3. about inches4. about inches5. Draw a line from point A to point B. About how long is the line? AB inches aboutSolve the story problem. 6. Owen and Benjamin are next-door neighbors. Their yards are connected, so they have lots of room to play. Owen’s yard is 24 feet long. Benjamin’s yard is 19 feet long. How long are the two yards together? Together, their yards are ___ feet long.Chapter 8 Lesson 14 291

UXsxexa. centimeter ruler to measure the lengths of these objects.1. about centimeters2. about centimetersUse your fingernail, or a unit block, to estimate the lengthsof the arrow in centimeters.3. 1 cm about centimeters 5.Circle the best estimate.4.Less than 1 meter Less than 1 meterAbout 1 meter About 1 meterMore than 1 meter More than 1 meterSolve the story problem.6. Janet and Leah are painting posters to decorate their classroom. Janet’s poster is 96 centimeters wide. Leah’s poster is 78 centimeters wide. How much wider is Janet’s poster than Leah’s poster? Janet’s poster is centimeters wider than Leah’s poster.292292

Cumulative ReviewFill in the missing addend to complete the number sentence.1. 7 + = 10 2. 5 + = 1057 + = 60 15 + = 20Complete the number line. Use two or three jumps. Write the sum.Circle how many jumps. +333. 67 + 33 = +302 jumps 673 jumps4. 47 + 36 = +362 jumps 47 +303 jumpsComplete the number line. Write the difference. –45. 80 – 4 = 806. 9 3 –6 –6 –3 93Solve the story problem. ¢. 7. Sue has 4 quarters. She has ¢. Wendy has 8 dimes. She hasHow much more money does Sue have than Wendy has?Sue has ¢ more than Wendy has.Chapter 8 Lesson 15 293

Compare. Write >, <, or =.1. 2. 3.469 502 831 829 705 706Write the numbers that come just before and just after.4. , 610, 5. , 890, 6. , 300,Write the numbers that are 10 less and 10 more.7. 794 8. , 702, 9. , 519,Write the amount of money. Show the amount in a different way.10.Add. Regroup if necessary. ¢11. H T O 12. H TO 13. H T O 37 9 53 7 68 8+ 15 3 + 24 8 +15 4Subtract. Regroup if necessary. 16. H T O14. H T O 15. H T O 30 3 – 87 79 9 90 7–48 5 –52 3294

9Xxx CHAPTER XxxGeometry andFractionsVOCABULARY 3 Polygons 3 Equal parts 3 + 3 One-half One-third 12 One-fourth ArraysChapter 2 Lesson CCSS1.0A.1 Xxx. 1

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PolygXoxnxsA Polygon is a closed figure with straight sides.This polygon is a triangle. This is a non-polygon. This is a non-polygon.It is closed and has It is not closed. It does not havestraight sides. straight sides.Trace the name of the polygon. Write the number of sides.1. 2. triangle sides square sides3. 4.hexagon sides rectangle sides 297Chapter 9 Lesson 1

Circle polygon or non-polygon. 2.1. polygon non-polygon polygon non-polygon3. 4. polygon non-polygon polygon non-polygon5. 6. polygon non-polygon polygon non-polygon7. 8. polygon non-polygon polygon non-polygon298

Halves, Thirds, and Fourths Equal parts are the same size. halves thirds fourths2 equal parts 3 equal parts 4 equal parts1. Circle the shape that shows halves.2. Circle the shape that shows thirds.3. Circle the shape that shows fourths.Chapter 9 Lesson 2 299

Circle to show what part is shaded.1. 2. one-half one-half one-third one-third one-fourth one-fourth3. 4. one-half one-half one-third one-third one-fourth one-fourth5. 6. one-half one-half one-third one-third one-fourth one-fourthFill in the number of equal parts.Write the name of the equal parts. 9.7. 8. equal parts equal parts equal parts name: name: name:300

Practice: Halves, Thirds, and FourthsOne-half of the One-third of the One-fourth of thecircle is shaded. circle is shaded. circle is shaded.Write the part of the shape that is shaded.1. 2. one-half 4.3.5. 6.Chapter 9 Lesson 3 301

Write the number of equal parts.Draw dividing lines on each shape to make that fraction.1.halves equal parts2.thirds equal parts3.fourths equal parts4. How many halves do we need to make 1 whole? halves5. How many thirds do we need to make 1 whole? thirds6. How many fourths do we need to make 1 whole? fourths 302

ArraysArrays show equal groups in rows and columns. 4 8 12 4 +4 12 There are 12 stars.Circle each row. Add to find how many shapes are in each array.1. 2. 3 + +There are triangles. There are squares.3. 4. + + There are pentagons. There are hexagons.Chapter 9 Lesson 4 303

Circle each row. Add to find how many shapes are in each array. 1. 2. There are + There are +3. 4. circles. squares. ♥♥♥♥ There are + ♥♥♥♥ ♥♥♥♥ + stars. There are hearts. 7.Let’s Review!Write the time.5. 6. : : : minutes after minutes after minutes after304

Partitioning a RectangleA rectangle can be divided into equal parts. We cancount the number of graph paper squares in a dividedrectangle to see how much space it takes up.How many squares? Partition the Find the number rectangle by rows. of squares. 3 3 3 3 +3 15Divide the rectangle into rows of squares.Add to find the number of squares.1. 4 rows of 2 2. 3 rows of 4 ++Chapter 9 number of squares number of squares Lesson 5 2.MD.7 305

Divide the rectangle into rows of squares.Add to find the number of squares.1. 4 rows of 3 2. 4 rows of 5 ++number of squares number of squares3. 5 rows of 5 4. 4 rows of 4 ++number of squares number of squaresLet’s Review!5. Write the value of each group of coins. Compare. Write >, <, or =. ¢¢306

Equal Shares Can Look DifferentEqual parts of the same shape may not always look the same. These rectangles are divided into equal parts. Each part has the same number of squares.These parts look different, but they are all equal shares ofthe rectangle.Count the number of squares in each part to see if the shape isdivided into equal parts. Circle the correct answer.1. 2. equal not equal equal not equal3. 4.equal not equal equal not equal 307Chapter 9 Lesson 6 2.MD.7

Count the number of squares in each part to see if the shape isdivided into equal shares. Circle the correct answer.1. 2.equal not equal equal not equalEach shape is divided into equal parts in two ways. Color each way.Write how many squares there are in each part. 3. 4. Each half has squares. Each fourth has squares.5. 6.Each third has squares. Each half has squares.LET’S WRITE!How do you know if a shape is divided into equal parts?___________________________________________________________________________________________________________________________________________________________________________308

Circle polygon or non-polygon. End-of-Chapter Review1. 2. polygon non-polygon polygon non-polygon 4.Circle to show what part is shaded.3.one-half one-halfone-third one-thirdone-fourth one-fourthCircle each row. Add to find how many shapes are in each array.5. + There are circles.6. + There are squares. 309Chapter 9 Lesson 7

Write the part of the shape that is shaded.1. 2.Write the number of equal parts. Draw lines on each shape to show thenumber of equal parts.3. thirds 4. fourths 5. halvesequal parts equal parts equal partsDivide the rectangle into rows of squares. Add to find the numberof squares.6. 3 rows of five + number of squaresCount the number of squares in each part to seeif the shape is divided into equal parts. Circle the correct answer.7. 8. equal not equal equal not equal310

10Xxx CHAPTER Xxx DataVOCABULARY 7 Favorite Zoo Animals 6 Line Plots Number of Votes 5 Tally Charts 4Picture Graphs 3 Bar Graphs 2 1 0 Giraffes Bears Monkeys Sea Lions Broccoli Favorite Toppings FavoritCeoCloorlor Number of Students Mushroom BlGuerPeuernpleOlive Red 1OnionChapter 2 ELaechsson = 1 vote CCSS1.0A.1 Xxx.

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Line PXloxtxsThe length, to the nearest inch, of each piece of chalk is shown.4, 3, 3, 2, 5, 3, 5, 2, 3, 5You can display the data in a line plot. Data is information. In thisline plot, each chalk length can be shown using an X.To make the line plot: 1. D raw a number line starting with the lowest number you will need and ending with the greatest number.2. P lace an X at the correct X number for each chalk length. XX XX X3. G ive the line plot a title. XXXX Chalk Length in Inches1. U se a ruler to measure each ribbon strip to the nearest centimeter. Complete the line plot, and give it a title.3456 Title: 313Chapter 10 Lesson 1 2.MD.9

This line plot shows the length, to the nearest inch, of each pencilinside Stacy’s desk. Give the line plot a title. X XX XXX XXX345678Title:Use the line plot to answer the questions.1. N ew pencils measure 8 inches. How many of Stacy’s pencils are new?2. How many of Stacy’s pencils measure exactly 3 inches?3. What is the most common length of pencil that Stacy has inside her desk?4. W hat is the difference, in inches, between the longest and shortest pencils?5. How many pencils are inside Stacy’s desk?6. There are no Xs above the 7-inches point. What does that mean? 314

Tally Charts Students in New York were asked to name the state they would most like to visit. They were given four choices. The results are shown. California, Florida, California, Hawaii, California, Hawaii, Alaska, Florida, California, Hawaii, Florida, Alaska, California, Florida, CaliforniaThe data can be collected in a tally chart. In a tally chart, show 1 as | and 5 as ||||. State States to VisitlAlaska Number of VotesCaliforniaFlorida llHawaii llll l llll lll 1. Jaycee asked some classmates to name a foreign language that they would most like to learn. He gave them four choices. The results are shown. Spanish, Spanish, French, Spanish, Japanese, Mandarin, Spanish, Spanish, Japanese, French, Spanish, Mandarin, Spanish, French, MandarinComplete the tally chart to record the number of votes. Language to Learn Language Number of VotesFrenchJapaneseMandarinSpanishWhich language got the most votes?Chapter 10 Lesson 2 2.MD.9 315

1. Oliver asked some classmates to name their favorite season of the year. The results are shown. Summer, Summer, Spring, Fall, Summer, Winter, Summer, Fall, Summer, Fall, Fall, Summer, Winter, Spring, Summer, WinterComplete the tally chart to record the number of votes. Season Favorite SeasonFall Number of VotesSpringSummerWinterWhich season got the most votes? 2. Miranda asked some classmates to tell her the number of pages they read last weekend. The results are shown. 6, 7, 4, 5, 6, 6, 5, 4, 8, 6, 10, 6, 7, 4, 5, 6Complete the line plot to record the number of pages.Then give the line plot a name. 4 5 6 7 8 9 10 Title:How many children read 7 pages? 316

Reading Picture GraphsA picture graph shows data by using pictures.The key tells what each picture represents.The picture graph below shows the number of books thatwere borrowed from the school library each day last week. Books BorrowedMondayTuesdayWednesdayThursdayFriday Each = 1 book.Use the picture graph to answer the questions.1. On which day were the most books borrowed from the library?2. On which day were exactly 4 books borrowed from the library?3. Were more books borrowed on Monday or Tuesday?4. How many books were borrowed on Wednesday and Thursday in all?5. How many more books were borrowed on Friday than on Tuesday?Chapter 10 Lesson 3 2.MD.10 317

The picture graph below shows the favorite pizza toppingof each student in a class. Favorite Toppings Broccoli Mushroom Olive Onion Each = 1 voteUse the picture graph to answer the questions.1. How many students like onion the most?2. W hich two toppings received the same number of votes?3. Do more students like broccoli or mushroom the most?4. Which was the favorite topping of the most students?5. How many more students chose mushroom than chose onion? 318

Constructing Picture Graphs We can use a tally chart to construct a picture graph.The tally chart shows how students in a class go to school. Method ll Ways to Go to SchoolBike Number of StudentsBusCar llWalk llll l llll lll llll1. Complete a picture graph using the data in the chart.Make a for each student. Method Ways to Go to School Number of StudentsBikeBusCarWalkLET’S WRITE!Do you think the tally chart or the picture graph shows the databetter? Explain your answer.__________________________________________________________________________________________________________________Chapter 10 Lesson 4 2.MD.10 319

We can use a table to make a picture graph.The table shows the number of days when there was each type ofweather during Joey’s 14-day vacation during winter break. Vacation Weather Weather Number of Days Cloudy 6 Rainy 3 Snowy 2 Sunny 31. C omplete a picture graph using the data in the table. Make a for each day. Vacation Weather Weather Number of Days Cloudy Rainy Snowy Sunny Each = 1 .LET’S WRITE!Suppose Joey’s vacation had lasted 6 more days. During those 6 daysit was sunny for 4 days and rainy for 2 days. How would the picture-graph change?___________________________________________________________________________________________________________________________________________________________________________320

Reading Bar Graphs A bar graph shows data by using bars of different lengths.To read a bar graph, look at each bar and find where it ends.Then find the number that lines up with the end of each bar.The bar graph below shows four choices of the children’s favoriteanimals at the zoo. Favorite Zoo AnimalsNumber of Votes 7 6 5 Giraffes Monkeys Sea Lions 4 3 2 1 0 BearsUse the bar graph to answer the questions.1. W hich animal received the least votes?2. How many votes did the most popular animal receive?3. H ow many students voted for the giraffes and the sea lions combined?Chapter 10 Lesson 5 2.MD.10 321

The bar graph below shows the favorite camp activity of onegroup of campers. Favorite Camp Activities 9 8 7Number of Votes 6 5 4 3 2 1 0 Boating Hiking Swimming Arts & CraftsUse the bar graph to answer the questions.1. W hat was the most popular activity?2. What was the least popular activity?3. How many campers chose arts & crafts and boating combined?4. How many more students chose arts & crafts than chose hiking?5. How many campers were included in the data?322

Constructing Bar Graphs We can use a tally chart to construct a bar graph.The tally chart shows the favorite colors that students in a class chose. Color Favorite ColorBlue Number of StudentsGreenPurpleRed1. Complete a bar graph using the data in the tally chart. Favorite ColorNumber of Votes 7 6 5 Green Purple Red 4 3 2 1 0 BlueLET’S WRITE!Do you think the tally chart or the bar graph shows the data better?Explain your answer.__________________________________________________________________________________________________________________Chapter 10 Lesson 6 2.MD.10 323

We can use a table to make a bar graph.The table shows the number of days that Amanda visitedher grandparents each month for four months. Visiting Grandparents Month Number of Days January 6 February 7 March 5 April 41. Complete a bar graph using the data in the table. Visiting Grandparents 7 6Number of Days 5 4 3 2 1 0 February March April JanuaryLET’S WRITE!Suppose that in May, Amanda visits her grandparents 3 more daysthan she did in April. Describe how the bar graph would change.__________________________________________________________________________________________________________________324

Problem Solving: Using Data Displays We can use a bar graph to solve problems. Favorite Ice Cream Flavor 9 8 7Number of Votes 6 5 4 3 2 1 0 Pistachio Strawberry Vanilla ChocolateUse the bar graph to answer the questions.1. How many children chose strawberry and vanilla combined?2. H ow many more children chose vanilla than chose strawberry?LET’S WRITE!Answer without adding: Did more students choose strawberry andvanilla or chocolate and pistachio? How do you know?____________________________________________________________________________________________________________________________________________________________________________________________________________________________________Chapter 10 Lesson 7 2.MD.10 325

The bar graph below shows the number of books that Eli readeach month for four months. Books Read 9 8Number of Books Read 7 6 5 4 3 2 1 0 June July August MayUse the bar graph to answer the questions.1. How many books did Eli read in all?2. How many more books did Eli read in July than he read in May?3. Did Eli read more books in May and July combined or in June  a nd August combined? Explain your answer. LET’S WRITE!Eli said that he read the greatest number of pages in July, becausethat bar is the tallest. Is he correct? Explain.____________________________________________________________________________________________________________________________________________________________________________________________________________________________________326

End-of-Chapter Review1. Use a ruler to measure each chain to the nearest centimeter. Complete the line plot. 23456 Chain Length in Centimeters2. Students were asked to name their favorite outing.They were given four choices. These are the results: Zoo, Museum, Zoo, Boating, Boating, Park, Zoo, Park, Boating, Zoo, Museum, Park, Boating, Zoo, BoatingComplete the tally chart to represent the data. Favorite Outing Survey Favorite Outing Number of VotesBoatingMuseumParkZoo3. Which two outings received the same number of votes? 4. H ow many more votes did Boating receive than 327 Museum?Chapter 10 Lesson 8

There are 6 basketballs, 5 flying discs, 3 footballs,and 4 soccer balls in a trunk.1. Complete a picture graph using the data above. Objects in a Trunk Basketball Flying disc Football Soccer ball Each = 1 .2. Complete a bar graph using the same data. Objects in a TrunkNumber of Objects 7 6 5 Flying disc Football Soccer ball 4 3 2 1 0 Basketball Object3. T he only objects in the trunk are those shown in the graphs. How many objects are in the trunk?4. How many more basketballs than footballs are there in the trunk?328

Cumulative RevieXwxxIComplete the number line. Use two or three jumps. Circle how manyjumps. Fill in the sum. +421. 58 + 42 = +402 jumps 583 jumps2. 48 + 45 = +45 2 jumps +40 3 jumps 48Complete the number line. Write the difference. –53. 5 3 –3 –5 534. 70 – 4 = –4 705. Write the number 6. Compare. Write >, <, or =. in expanded form. 405 504 269 =7. Circle the point that shows 592. A 602 B 622 C 642Chapter 10 Lesson 9 329

Write the numbers that come just before and after.1. , 989, , 600,Write the numbers that are 10 less and 10 more.2. , 297, , 415, 178Count by fives. Fill in the numbers.3. 785, 790, 795, , ,Write the amount of money. Show the amount in a different way.4. ¢Show the amount in two ways. Another Way5. One Way n80¢ dSolve the story problem. 7. Estee has two quarters. She buys a snack for 40¢. How much money does she have left? Estee has ____¢ left. 330

Write the time. 2. Cumulative Review II1. 3. half past a quarter 9 minutes after 6.Draw the hands to show the time.4. 5. 9:15 7:20 12:30 2:00 amCircle the time that makes sense. 2:00 pm7. The time you are swimming H TOFirst find the sum of two addends. Then add the rest.You can add in any order. +8. H TO H TO83 + 27 + 74 + 68 + +Add. Regroup, if necessary. Subtract. Regroup, if necessary.9. H T O 10. H T O 49 4 59 1 + 29 6 – 38 5Chapter 10 Lesson 10 331

Use a ruler to measure the length of this pen to the nearest inch.1. about inchesUse your fingernail to estimate the length of each arrow.Circle the arrow that is about 10 centimeters long.2.3. There are inches in 1 foot.4. There are feet in 1 yard.5. There are centimeters in 1 meter.6. 7.Divide the rectangle into rows Count the number of squares inof squares. Add to find the each part to see if the shape isnumber of squares. divided into equal parts. Circle the correct answer. 5 rows of 5 + number of squares equal not equal332