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LESSON 12 1 Name Date Time 377 Copyright © Wright Group/McGraw-Hill Math Message Name Math Message There are: days in 1 week. hours in 1 day. months in 1 year. weeks in 1 year. seconds in 1 minute. minutes in 1 hour.days in 1 week. hours in 1 day. months in 1 year. weeks in 1 year. seconds in 1 minute. minutes in 1 hour. days in 1 week. hours in 1 day. months in 1 year. weeks in 1 year. seconds in 1 minute. minutes in 1 hour.days in 1 week. hours in 1 day. months in 1 year. weeks in 1 year. seconds in 1 minute. minutes in 1 hour. Name Math Message There are:Name Math Message There are: Name Math Message There are:
378 Name Date Time In class today, your child reviewed the calendar and continued to practice multiplication and division facts. Please spend a few minutes with your child as often as possible practicing facts. You can use Fact Triangles, or you can play a game like Multiplication Top-Itor Beat the Calculator. Please return this Home Link to school tomorrow. Family Note Fill in the missing number in each Fact Triangle. Then write the fact family for the triangle. Copyright © Wright Group/McGraw-Hill HOME LINK 12 1 Fact Triangles 1. 2. 3. 29 , 1 8 , 4. 5. 6. 7.85 25 38 5 40 , Practice 378 231 47156 8794 87
LESSON 12 1 Name Date Time Telling Time to the Nearest Five Minutes 379 Copyright © Wright Group/McGraw-Hill 35 0 12 1 2 3 4 5 6 7 8 91011 Start at 0. Count by 5s. Fill the numbers of minutes at the 5-minute intervals around the clock face. 1. Draw the minute hands on the clocks to show the times. Use the 5-minute intervals to help. 2. 3. 4. 12:20 1:50 7:25 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011
1. Fill in the numbers to show a leap year calendar for February. Circle the date that makes it a leap year. 2. The year 2000 was a leap year. Fill in the Frames-and- Arrows diagram with the other leap years. Write the rule for figuring out leap years. LESSON 12 1 Name Date Time Leap Years Copyright © Wright Group/McGraw-Hill 380 1 Sun Mon Tue Wed Thu Fri Sat FEBRUARY 2000 Rule
381 Name Date Time Family Note Copyright © Wright Group/McGraw-Hill HOME LINK 12 2 381 Because clocks with clock faces were used for centuries before the invention of digital clocks, people often name the time by describing the positions of the hour and minute hands. Observe as your child solves the time problems below. Please return this Home Link to school tomorrow. Many Names for Times What time is it? Write the time shown on the clocks. 1. 2. 3. : : : Draw the hour hand and the minute hand to show the time. 4. 5. 6. 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 half-past nine six fifty quarter-to two Practice 7. 126 43 8. 243 101 9. 10. 84 37 38 53 82 83
Regular time uses numbers 1 to 12 to identify each of the 24 hours in a day. In military time, the hours are numbered from 00 to 23. Under this system, midnight is 00; 1 A.M. is 0100 hours; 1 P.M. is 1300 hours; 4 P.M. is 1600 hours. Complete the table showing regular time and military time. LESSON 12 2 Name Date Time Military Time Copyright © Wright Group/McGraw-Hill 382 Try This How would you write 3:15 P.M. in military time? Explain your answer. Regular Military Regular Military Time Time (hours) Time Time (hours) Midnight 0000 Noon 1200 1:00 A.M . 0100 1:00 P.M . 1300 2:00 A.M . 0200 2:00 P.M . 3:00 A.M . 0300 4:00 A.M . 5:00 A.M . 6:00 A.M . 7:00 A.M . 6 A.M. is the same as hours. 10 P.M. is the same as hours.
LESSON 12 2 Name Date Time Telling Time to Five Minutes 383 Copyright © Wright Group/McGraw-Hill Write the time shown on each clock. 1. 2. 3. :: : 4. 5. 6. :: : Draw the hour and minute hands to match the time. 7. 8. 9. 10. 11. 12. 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 12 1 2 3 4 5 6 7 8 91011 4:55 7:25 8:05 1:50 6:20 10:40
384 Name Date Time A timeline is a way to display events in sequential order. Timelines can be divided into intervals, such as centuries, years, months, days, and hours. Observe your child as he or she completes the timeline at the right. Please return this Home Link to school tomorrow. Family Note Emily’s Day at the Beach 1. For each event below, make a dot on the timeline and write the letter for the event above the dot. A Ate lunch (12:30 P.M.) B Went fishing in a boat (10:00 A.M.) C Arrived at the beach (9:00 A.M.) D Returned from fishing trip (11:30 A.M.) E Played volleyball (1:30 P.M.) F Went swimming (2:00 P.M.) G Drove home (4:00 P.M.) H Built sandcastles (3:00 P.M.) Copyright © Wright Group/McGraw-Hill HOME LINK 12 3 Timelines Practice Answer Answer Solve. 2. 563 32 3. 263 17 7:00 A.M. 8:00 A.M. 9:00 A.M. 10:00 A.M. 11:00 A.M. 12:00 P.M. 1:00 P.M. 2:00 P.M. 3:00 P.M. 4:00 P.M. 5:00 P.M. A
Name Date Time 385 Copyright © Wright Group/McGraw-Hill Try This Draw a mark on the number line to show where each number belongs. Write the number below the mark. Example:Show 95. 1. Use the number line below. Show 80. Show 100. 2. Use the number line below. Show 1900 (the turn of the century). Show 100 years before you were born. LESSON 12 3 Placing Numbers on a Number Line 95 100 90 90 110 70 2050 1950 1950 1850 3. Use the number line below. Show the year you were born. Show this year.
Name Date Time Copyright © Wright Group/McGraw-Hill 386 LESSON 12 3 Interpreting a Timeline 1. What is the earliest invention on the timeline on journal page 295? What is the most recent invention? For each pair of inventions: tell about how many decades there were between inventions. tell about how many years there were between inventions. 2. typewriter and movie machine about decades about years 3. phonograph and videocassette about decades about years 4. telegraph and CD player about decades about years About how many years ago were these things invented? 5. CD player: about years ago 6. FM radio: about years ago 7. 3-D movies: about years ago 8. typewriter: about years ago Reminder:1 decade is 10 years. 1 century is 100 years. 1 century is 10 decades.
387 Name Date Time Your child has been practicing multiplication facts. Today children reviewed shortcuts for solving multiplication problems with the numbers 2, 5, and 10. Encourage your child to practice with the Fact Triangles over the summer in preparation for third grade. Family Note Copyright © Wright Group/McGraw-Hill HOME LINK 12 4 ,Fact Triangles Cut out the Fact Triangles on these pages. Show someone at home how you can use them to practice multiplication facts. 38 2 9 18 , 5840 , 39 27 , 4 9 36 , 3 8 24 , 48 32 , 66 36 , 5 9 45 , 2816 ,
388 Name Date Time Copyright © Wright Group/McGraw-Hill HOME LINK 12 4 ,Fact Triangles continued 7 8 56 , 7749 , 97 63 , 8 8 64 , 6 8 48 , 69 54 , 99 81 , 9 8 72 , 6742 ,
1. Draw an array for 3 groups of 3. Number model: 3 3 ? Number model: 3 3 2. Draw an array for 3 groups of 4. Number model: 3 4 ? Number model: 3 4 Draw an array for 4 groups of 3. Number model: 4 3 ? Number model: 4 3 1. Draw an array for 3 groups of 2. Number model: 3 2 ? Number model: 3 2 Draw an array for 2 groups of 3. Number model: 2 3 ? Number model: 2 3 LESSON 12 4 Multiplication Arrays Draw the array for each problem. Then fill in the Fact Triangle to match the arrays. Name Date Time 389 Copyright © Wright Group/McGraw-Hill 32 , 23 , 34 , 43 , 33 , Try This
To solve 4 3, Briana used two steps. In her first step, she got 6. In her second step, she got 12. 12 was the answer. To solve 4 7, Briana again used two steps. In her first step, she got 14. In her second step, she got 28. 28 was the answer. Explain Briana’s strategy. Then try solving 4 8 using Briana’s strategy. LESSON 12 4 Name Date Time A Multiplication Strategy 390 Copyright © Wright Group/McGraw-Hill
391 Name Date Time Family Note Copyright © Wright Group/McGraw-Hill HOME LINK 12 5 391 In this lesson, your child has connected multiplication and division facts by using Fact Triangles and completing fact families. A good way to solve division problems is to think in terms of multiplication. For example, to divide 20 by 5, ask yourself: 5 times what number equals 20?Since 5 4 20, 20 5 4. Please return this Home Link to school tomorrow. , Facts Practice 1. 14 2 Think: 2 ? 14 3. 21 3 Think: 3 ? 21 5. 28 7 Think: 7 ? 28 2. 24 4 Think: 4 ? 24 4. 18 6 Think: 6 ? 18 6. 16 4 Think: 4 ? 16 2714 , 3721 , 6318 , 4416 , 7428 , 4624 , 38 Solve these division facts. Think multiplication. Use the Fact Triangles to help you.
392 Name Date Time HOME LINK 12 5 , Facts Practice continued 7. 20 5 Think: 5 ? 20 9. 35 5 Think: 5 ? 35 11. 42 6 Think: 6 ? 42 13. 54 9 Think: 9 ? 54 8. 30 6 Think: 6 ? 30 10. 32 4 Think: 4 ? 32 12. 63 7 Think: 7 ? 63 14. 81 9 Think: 9 ? 81 5420 , 5735 , 6742 , 6954 , 6530 , 4832 , 7963 , 9981 , Copyright © Wright Group/McGraw-Hill
Name Date Time 393 Copyright © Wright Group/McGraw-Hill Use counters to build arrays for each problem. Find the number in each row for the arrays. 1. Use 6 counters. Build an array that has 2 rows. How many are in each row? Write a number model to show how you found the number in each row. Number Model: 2. Use 12 counters. Build an array that has 4 rows. How many are in each row? Write a number model to show how you found the number in each row. Number Model: 3. Use 16 counters. Build an array that has 4 rows. How many are in each row? Write a number model to show how you found the number in each row. Number Model: LESSON 12 5 Equal Rows Try This 4. Use counters. Build an array that has rows. How many are in each row? Write a number model to show how you found the number in each row. Number Model:
Name Date Time Copyright © Wright Group/McGraw-Hill 394 Complete the tables in Problems 1–3. 1. 2. 3. Complete the table Complete the table Write a rule of your and write the rule. and write the rule. own. Fill in the table. 4. 5. 6. LESSON 12 5 “What’s My Rule?” Rule 2 Rule 10 Rule 5 in out 2 4 50 7 100 in out 0 3 50 8 100 Rule Rule Rule in out 12 24 6 5 816 in out 28 312 5 624 40 in out in out 3 5 14 8 12
395 Name Date Time In this lesson, your child has been reading, drawing, and interpreting bar graphs. Bar graphs are often useful when one wants to make rough comparisons quickly and easily. Provide your child with additional practice in interpreting a bar graph by asking questions like Problems 1 through 4. Please return this Home Link to school tomorrow. Family Note Copyright © Wright Group/McGraw-Hill HOME LINK 12 6 Typical Life Spans 44 House cat Horse Squirrel Human Ostrich Dolphin Lion Typical Life Spans 0 1020304050607080 Years 1. About how long do horses live? years 2. Which animals live longer than an ostrich? 3. About how much longer do lions live than house cats? years 4. Which animal lives about twice as long as lions?
396 Name Date Time Copyright © Wright Group/McGraw-Hill HOME LINK 12 6 Typical Life Spans continued 5. List the animals in order from the shortest life span to the longest life span. 6. What is the middle value? years This is the median. Practice 7. 71 59 8. 9. 68 39 10. 125 38 121 35 Life Spans Animal Years shortest: longest: 45
LESSON 12 6 Name Date Time Distances 397 Copyright © Wright Group/McGraw-Hill Distances athletic adults can travel in 10 seconds: Walking 125 feet Running hurdles 275 feet Running 325 feetSwimming 75 feetIce-skating 450 feet Cross-country skiing 200 feet
1. Complete the graph below with the information on Math Masters, page 397. Interpret the graph. 2. The longest distance is feet. The shortest distance is feet. The difference between the longest distance and the shortest distance (range) is feet. 3. What is a middle value of the distances on your graph? feet 4. About how much distance can a cross-country skier cover: in 20 seconds? feet in 30 seconds? feet in 1 minute? feet LESSON 12 6 Name Date Time Graphing Information Copyright © Wright Group/McGraw-Hill 398 Distances Athletic Adults Can Travel in 10 Seconds Walking Ice-skating Cross-country skiing Running Running hurdles Swimming 100 200 300 400 500 600 Distance (feet) 0
1. Which animal sleeps the most? (maximum) How long? hours 2. Which animal sleeps the least? (minimum) How long? hours 3. What is the range (difference) between the longest and shortest time animals sleep in a day? hours 4. What is the median (middle value) number of hours of sleep? 5. What is the mode (number that occurs most often) number of hours of sleep? 6. How many hours do you sleep per night? hours LESSON 12 6 Name Date Time Observing the Sleeping Hours of Animals 399 Copyright © Wright Group/McGraw-Hill Number of Hours per Day How Much Sleep Does an Animal Need? 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 Giraffe House catSquirrel Hamster ElephantDog Sloth Use the graph below to answer the following questions.
400 Name Date Time In class today, your child interpreted graphs and identified the greatest value, the least value, the range, the middle value (the median), and the mode. The mode is the value or category that occurs most often in a set of data. For example, in the bar graph below, the river length of 1,450 miles is the mode. Please return this Home Link to school tomorrow. Family Note Copyright © Wright Group/McGraw-Hill HOME LINK 12 7 Interpret a Bar Graph Arkansas Rio Grande Ohio Yukon Colorado Approximate Lengths of Rivers 1,200 1,300 1,400 1,500 1,600 1,700 1,800 1,900 2,000 Miles 1. a. What is the length of the Colorado River? About miles b. Of the Rio Grande? About miles 2. a. What is the length of the longest river? About miles b. What is the length of the shortest river? About miles c. What is the difference in length between the longest and the shortest rivers? About miles. This is the range. 3. Which river length occurs most often? About miles This is the mode. 4. What is the middle length of the rivers? About miles This is the median. 44
The Children’s Book Club members went to the library to check out books. Jim recorded the number of books each child checked out. This is what he found: The minimum number of books is 1. The maximum number of books is 6. The mode number of books is 3. The median number of books is 3. The range for the number of books children check out is 5. Explain what each landmark means. Circle the graph that shows Jim’s data. LESSON 12 7 Name Date Time Landmarks of a Data Set 401 Copyright © Wright Group/McGraw-Hill 123456 0 1 2 3 4 5 6 Number of BooksBooks Checked Out Number of Children 123456 0 1 2 3 4 5 6 Number of BooksBooks Checked Out Number of Children
402 Copyright © Wright Group/McGraw-Hill Name Date Time HOME LINK 12 8 Family Letter Congratulations! By completing Second Grade Everyday Mathematics,your child has accomplished a great deal. Thank you for your support! This Family Letter is provided as a resource for you to use throughout your child’s vacation. It includes an extended list of Do-Anytime Activities, directions for games that can be played at home, an Addition/Subtraction Facts Table, and a sneak preview of what your child will be learning in Third Grade Everyday Mathematics.Enjoy your vacation! Do-Anytime Activities Mathematics concepts are more meaningful when they are rooted in real-life situations. To help your child review some of the concepts he or she has learned in second grade, we suggest the following activities for you and your child to do together over vacation. These activities will help your child build on the skills learned this year and help prepare him or her for Third Grade Everyday Mathematics. 1.Fill in blank calendar pages for the vacation months, including special events and dates. Discuss the number of weeks of vacation, days before school starts, and so on. 2.Continue to ask the time. Encourage alternate ways of naming time, such as twenty to ninefor 8:40 and quarter-past fivefor 5:15. 3.Continue to review and practice basic facts for all operations, especially those for addition and subtraction. 4.Use Fact Triangle cards to practice basic multiplication and division facts, such as the following: 2244 22 2366 23 2488 24 2510 10 25 3412 12 34 3399 33 4416 16 44 3515 15 35 4520 20 45 Everyday M athematics 2 nd Grade
403 Copyright © Wright Group/McGraw-Hill Sample Record Sheet ÎÂÍ ‰ Á Total 1st turn214 5 3$4.7 2 2nd turn$ 3rd turn$ 4th turn$ Grand Total$ Family Letter cont. HOME LINK 12 8 . . . . Building Skills through Games The following section describes games that can be played at home. The number cards used in some games can be made from 3" by 5" index cards or from a regular playing-card deck. Addition Top-It Materials 4 cards for each of the numbers 0–10 (1 set for each player) Players 2 or more SkillAdd, subtract, or multiply two numbers Object of the GameTo have the most cards Directions Players combine and shuffle their cards and place them in a deck, facedown. Each player turns up a pair of cards from the deck and says the sum of the numbers. The player with the greater sum takes all the cards that are in play. The player with the most cards at the end of the game is the winner. Ties are broken by drawing again—winner takes all. Variation: Subtraction Top-It Partners pool and shuffle their 0–20 number cards. Each player turns up a pair of cards from the facedown deck and says the difference between them. The player with the greater difference gets all four cards. The player with more cards at the end of the game is the winner. Variation: Multiplication Top-It Players find the product of the numbers instead of the sum or difference. Use the 0–10 number cards. Pick-a-Coin Materials regular die record sheet (see example) calculator Players 2 or 3 SkillAdd coin and dollar amounts Object of the GameTo have the highest total Directions Players take turns. At each turn, a player rolls a die five times. After each roll, the player records the number that comes up on the die in any one of the empty cells for that turn on his or her Record Sheet. Then the player finds the total amount and records it in the table. After four turns, each player uses a calculator to find his or her grand total. The player with the highest grand total wins.
Multiplication Draw Materials number cards 1, 2, 3, 4, 5, 10 (4 of each) record sheet (1 for each player) calculator Players2– 4 SkillMultiply two numbers Object of the GameTo have the highest total Directions Shuffle the cards and place the deck facedown on the playing surface. At each turn, players draw two cards from the deck to make up a multiplication problem. They record the problem on a record sheet and write the answer. If the answer is incorrect, it will not be counted. After five turns, players use a calculator to find the total of their correct answers. The player with the highest total wins. Name That Number Materials number cards 0–10 (4 of each) number cards 11–20 (1 of each) Players2 or 3 SkillAdd, substract, multiply, or divide two numbers to reach a target number Object of the GameTo have the most cards Directions Shuffle the deck of cards and place it facedown on the table. Turn the top five cards faceup and place them in a row. Turn over the next card. This is the target number for the round. In turn, players try to name the target number by adding, subtracting, multiplying, or dividing the numbers on 2 or more of the 5 cards that are number-side up. A card may be used only once for each turn. If you can name the target number, take the cards you used to name it. Also take the target-number card. Then replace all the cards you took by drawing from the top of the deck. If you cannot name the target number, your turn is over. Turn over the top card of the deck and lay it down on the target-number pile. The number on this card is the new target number. Play continues until there are not enough cards left in the deck to replace the players’ cards. The player who has taken the most cards at the end wins. Sample turn: Mae’s turn: The target number is 6. Mae names it with 12 4 2. She also could have used 4 2 or 8 2. Mae takes the 12, 4, 2, and 6 cards. She replaces them by drawing cards from the facedown deck and then turns over and lays down the next card to replace the 6. Now it is Mike’s turn. Multiplication DrawRecord Sheet 1st Draw: 2nd Draw: 3rd Draw: 4th Draw: 5th Draw: Sum of products: 4 48 8 2 2 6 6 10 10 12 12 404 Copyright © Wright Group/McGraw-Hill Family Letter cont. HOME LINK 12 8
405 Copyright © Wright Group/McGraw-Hill Fact Power Addition/subtraction fact families can also be practiced by using the Addition/Subtraction Facts Table. This table can be used to keep a record of facts that have been learned as well. Looking Ahead: Third Grade Everyday Mathematics Next year, your child will … Explore the relationship between multiplication and division Extend multiplication and division facts to multiples of 10, 100, and 1,000 Use parentheses in writing number models Record equivalent units of length Use number models to find the areas of rectangles Explore 2- and 3-dimensional shapes and other geometric concepts Read and write numbers up to 1,000,000 Work with fractions and decimals Collect data for yearlong sunrise/sunset and high/low temperature projects Use map scales to estimate distances Again, thank you for your support this year. Have fun continuing your child’s mathematics experiences throughout the vacation! 0 0 1 2 3 4 5 6 7 8 95 6 7 8 9 106 7 8 9 10 117 8 9 10 11 12 13 14 15 16 1718 10 11 1211 12 1312 13 1413 14 1514 15 1615 16 17 8 99 1010 1111 1212 1313 14 4 5 6 7 8 9 101112 3 45678910 11 1 22 33 44 55 66 77 88 99 10 0 1 2 3 4 5 6 7 8 9 , 123456789 Family Letter cont. HOME LINK 12 8