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                                                  Name                                                      Date                         Time

                                                  HOME LINK
                                                   9 10
                                                      ᭜          Unit 10: Family Letter

                                                  Decimals and Place Value
                                                  In this unit, children will review money concepts, such as names of coins and bills,
                                                  money exchanges, and equivalent amounts. They will pretend to pay for items and
                                                  to make change.
                                                  The unit also focuses on extending work with fractions and money by using decimal
                                                  notation. Children will use calculators for money problems and estimation.
                                                  Later in this unit, children will
                                                  work with place-value notation
                                                  for 5-digit numbers. Here, as
                                                                                      50¢         50 cents
                                                  previously, the focus remains
                                                                                                  1
                                                  on strategies that help children                ᎏᎏ   of a dollar
                                                  automatically think of any digit                2
                                                  in a numeral in terms of its
                                                  value as determined by its
                                                                                                  $0.50
                                                  place. For example, children
                                                  will learn that in a number like                fifty cents
                                                  7,843, the 8 stands for 800,
                                                  not 8, and the 4 for 40, not 4.                 ÍÍÍÍÍ
           Copyright © Wright Group/McGraw-Hill




                                                  Please keep this Family Letter for reference as your child works through Unit 10.

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                            HOME LINK
                                         Unit 10: Family Letter cont.
                               9 10
                                ᭜




    Vocabulary
    Important terms in Unit 10:

    decimal point A mark used to separate the ones               cube In Everyday Mathematics, the smaller cube
    and tenths places in decimals. A decimal point               of the base-10 blocks, measuring 1 centimeter on
    separates dollars from cents in money notation. The          each edge.
    mark is a dot in the U.S. customary system and a
    comma in Europe and some other countries.
    flat In Everyday                                             place value A system that gives a digit a value
    Mathematics, the base-10                                     according to its position in a number. In our
    block consisting of one                                      standard base-10 (decimal) system for writing
    hundred 1-centimeter                                         numbers, each place has a value 10 times that of the
    cubes.                                                       place to its right and one-tenth the value of the
                                                                 place to its left. The chart below illustrates the place
                                                                 value of each digit in 7,843.

                                                                    thousands     ,     hundreds    tens     ones
    long In Everyday
    Mathematics, the base-10                                           7          ,        8         4        3
    block consisting of ten 1-centimeter cubes.




                 Building Skills through Games
                 In Unit 10, your child will build his or her understanding of fractions and money by
                 playing the following games:
                 Fraction Top-It
                 Players turn over two fraction cards and compare the shaded parts of the cards. The
                 player with the larger fraction keeps both cards. The player with more cards wins.



                                                                                                                            Copyright © Wright Group/McGraw-Hill
                 Money Exchange Game
                 Players roll a die and put that number of $1 bills on their Place-Value Mats.
                 Whenever possible, they exchange ten $1 bills for one $10 bill. The first player to
                 make an exchange for one $100 bill wins.
                 Pick-a-Coin
                 Players create coin collections based on rolls of a die. Players try to get the largest
                 possible values for their collections.
                 Spinning for Money
                 Players “spin the wheel” to find out which coins they will take from the bank. The
                 first player to exchange his or her coins for a dollar wins.
                 Equivalent Fractions Game
                 Players take turns turning over Fraction Cards and try to find matching cards that
                 show equivalent fractions.


    290
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                                                                                HOME LINK
                                                                                            Unit 10: Family Letter cont.
                                                                                 9 10
                                                                                   ᭜




                                                  Do-Anytime Activities
                                                  To work with your child on the concepts taught in this unit and in previous units,
                                                  try these interesting and rewarding activities:
                                                  1. Collect a variety of coins and help your child count them. Discuss
                                                     what other coin combinations would equal the same amount. For
                                                     example, each group of coins shown on this page equals $1.00.
           Copyright © Wright Group/McGraw-Hill




                                                  2. Write a 4-digit number, such as 2,581. Have your child tell you
                                                     the place value of each digit. Rearrange the digits several times,
                                                     pointing out the change in place value for each of the new
                                                     number’s digits. In 2,581, the 2 stands for 2,000; the 5, 500;
                                                     the 8, 80; and the 1, 1.
                                                  3. Ask your child to add up grocery receipts by using a calculator.




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                            HOME LINK
                                         Unit 10: Family Letter cont.
                              9 10
                               ᭜




    As You Help Your Child with Homework
    As your child brings home assignments, you may want to go over the instructions together, clarifying them as
    necessary. The answers listed below will guide you through this unit’s Home Links.

    Home Link 10᭜1                                           Home Link 10᭜9
    1. 10 pennies ϭ 10¢, or $0.10                            1. 0; 100; 200; 300; 400; 500; 600; 700; 800; 900;
       10 nickels ϭ 50¢, or $0.50                               1,000
       10 dimes ϭ $1.00                                      2. 0; 1,000; 2,000; 3,000; 4,000; 5,000; 6,000;
       10 quarters ϭ $2.50                                      7,000; 8,000; 9,000; 10,000
       10 half-dollars ϭ $5.00                               3. Number       10 More     100 More   1,000 More
       Total ϭ $9.10                                                  32             42       132         1032
                                                                                                           ,

    Home Link 10᭜2                                                   146            156      246        1,146
    1. $3.57     2. $3.55 3. $0.52 4. $0.08                          309            319      409        1,309
    5. Sample answers: ÁÁ ‰ ‰ Í Î Î Î Î or                          1,468         1,478    1,568        2,468
       Á‰‰‰‰ÍÍÍÍÂÂÂÂÎÎÎÎ                                           10,037        10,047   10,137       11,037
    6. 180       7. 55
                                                             Home Link 10᭜10
    Home Link 10᭜3
                                                             3. 72,469      4. 72,569; 75,469; 72,369; 69,469
    1. $0.06; $0.50; $1.30; $1.50; $3.36
                                                             5. 76          6. 49       7. 225     8. 170
    3. 303       4. 197
                                                             Home Link 10᭜11
    Home Link 10᭜4
                                                             1.   9        2. 15      3. 13   4. 6
    1. 1.09; 2.5; 0.98; 3.18; 0.06
                                                             5.   13 Ϫ (9 ϩ 2) ϭ 2
    3. 76         4. 72          5. 44       6. 18
                                                             6.   (28 Ϫ 8) Ϫ 4 ϭ 16
    Home Link 10᭜5                                           7.   (150 Ϫ 70) Ϫ 40 ϭ 40
     1. $0.70   2. $2.60     3. $1.00                        8.   800 Ϫ (200 ϩ 300) ϭ 300
     4. $1.30   5. $4.00     6. $1.20                        9.     15                10. 100
     7. $2.30   8. $1.30 ϩ $0.50 ϭ $1.80


                                                                                                                   Copyright © Wright Group/McGraw-Hill
                                                                   25 Ϫ (15 ϩ 5)               (50 ϩ 150) Ϫ 100
     9. $0.80 ϩ $0.40 ϭ $1.20
                                                                   (25 Ϫ 15) ϩ 5               50 ϩ (150 Ϫ 100)
    10. $0.70 ϩ $0.90 ϭ $1.60
    11. $1.40 ϩ $0.80 ϭ $2.20                                      (17 Ϫ 9) ϩ 7                400 Ϫ (300 Ϫ 200)
                                                                   17 Ϫ (9 ϩ 7)                (400 Ϫ 300) ϩ 200
    Home Link 10᭜7
                                                                   (3 ϩ 6) ϩ 6
     1. 17 sq cm     2. 23 cm2      3. 10 square cm
                                                                   3 ϩ (6 ϩ 6)
     4. 9 cm2        5. 85          6. 29

    Home Link 10᭜8
     1. 4 62     2. 1, 3 26      3. 5, 0 06  4. 8 69
     5. 2, 3 04 6. 4, 5 67       9. 1,183   10. 1,204
    11. 158     12. 188         13. 29




    292

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Unit 10 family letter

  • 1. EM2007MM_G2_UO9.qxd 12/15/05 10:48 AM Page 289 impos06 207:wg00004:wg00004_g2u09:layouts: Name Date Time HOME LINK 9 10 ᭜ Unit 10: Family Letter Decimals and Place Value In this unit, children will review money concepts, such as names of coins and bills, money exchanges, and equivalent amounts. They will pretend to pay for items and to make change. The unit also focuses on extending work with fractions and money by using decimal notation. Children will use calculators for money problems and estimation. Later in this unit, children will work with place-value notation for 5-digit numbers. Here, as 50¢ 50 cents previously, the focus remains 1 on strategies that help children ᎏᎏ of a dollar automatically think of any digit 2 in a numeral in terms of its value as determined by its $0.50 place. For example, children will learn that in a number like fifty cents 7,843, the 8 stands for 800, not 8, and the 4 for 40, not 4. ÍÍÍÍÍ Copyright © Wright Group/McGraw-Hill Please keep this Family Letter for reference as your child works through Unit 10. 289
  • 2. EM2007MM_G2_UO9.qxd 12/15/05 10:48 AM Page 290 impos06 207:wg00004:wg00004_g2u09:layouts: HOME LINK Unit 10: Family Letter cont. 9 10 ᭜ Vocabulary Important terms in Unit 10: decimal point A mark used to separate the ones cube In Everyday Mathematics, the smaller cube and tenths places in decimals. A decimal point of the base-10 blocks, measuring 1 centimeter on separates dollars from cents in money notation. The each edge. mark is a dot in the U.S. customary system and a comma in Europe and some other countries. flat In Everyday place value A system that gives a digit a value Mathematics, the base-10 according to its position in a number. In our block consisting of one standard base-10 (decimal) system for writing hundred 1-centimeter numbers, each place has a value 10 times that of the cubes. place to its right and one-tenth the value of the place to its left. The chart below illustrates the place value of each digit in 7,843. thousands , hundreds tens ones long In Everyday Mathematics, the base-10 7 , 8 4 3 block consisting of ten 1-centimeter cubes. Building Skills through Games In Unit 10, your child will build his or her understanding of fractions and money by playing the following games: Fraction Top-It Players turn over two fraction cards and compare the shaded parts of the cards. The player with the larger fraction keeps both cards. The player with more cards wins. Copyright © Wright Group/McGraw-Hill Money Exchange Game Players roll a die and put that number of $1 bills on their Place-Value Mats. Whenever possible, they exchange ten $1 bills for one $10 bill. The first player to make an exchange for one $100 bill wins. Pick-a-Coin Players create coin collections based on rolls of a die. Players try to get the largest possible values for their collections. Spinning for Money Players “spin the wheel” to find out which coins they will take from the bank. The first player to exchange his or her coins for a dollar wins. Equivalent Fractions Game Players take turns turning over Fraction Cards and try to find matching cards that show equivalent fractions. 290
  • 3. EM2007MM_G2_UO9.qxd 12/15/05 10:48 AM Page 291 impos06 207:wg00004:wg00004_g2u09:layouts: HOME LINK Unit 10: Family Letter cont. 9 10 ᭜ Do-Anytime Activities To work with your child on the concepts taught in this unit and in previous units, try these interesting and rewarding activities: 1. Collect a variety of coins and help your child count them. Discuss what other coin combinations would equal the same amount. For example, each group of coins shown on this page equals $1.00. Copyright © Wright Group/McGraw-Hill 2. Write a 4-digit number, such as 2,581. Have your child tell you the place value of each digit. Rearrange the digits several times, pointing out the change in place value for each of the new number’s digits. In 2,581, the 2 stands for 2,000; the 5, 500; the 8, 80; and the 1, 1. 3. Ask your child to add up grocery receipts by using a calculator. 291
  • 4. EM2007MM_G2_UO9.qxd 12/15/05 10:48 AM Page 292 impos06 207:wg00004:wg00004_g2u09:layouts: HOME LINK Unit 10: Family Letter cont. 9 10 ᭜ As You Help Your Child with Homework As your child brings home assignments, you may want to go over the instructions together, clarifying them as necessary. The answers listed below will guide you through this unit’s Home Links. Home Link 10᭜1 Home Link 10᭜9 1. 10 pennies ϭ 10¢, or $0.10 1. 0; 100; 200; 300; 400; 500; 600; 700; 800; 900; 10 nickels ϭ 50¢, or $0.50 1,000 10 dimes ϭ $1.00 2. 0; 1,000; 2,000; 3,000; 4,000; 5,000; 6,000; 10 quarters ϭ $2.50 7,000; 8,000; 9,000; 10,000 10 half-dollars ϭ $5.00 3. Number 10 More 100 More 1,000 More Total ϭ $9.10 32 42 132 1032 , Home Link 10᭜2 146 156 246 1,146 1. $3.57 2. $3.55 3. $0.52 4. $0.08 309 319 409 1,309 5. Sample answers: ÁÁ ‰ ‰ Í Î Î Î Î or 1,468 1,478 1,568 2,468 Á‰‰‰‰ÍÍÍÍÂÂÂÂÎÎÎÎ 10,037 10,047 10,137 11,037 6. 180 7. 55 Home Link 10᭜10 Home Link 10᭜3 3. 72,469 4. 72,569; 75,469; 72,369; 69,469 1. $0.06; $0.50; $1.30; $1.50; $3.36 5. 76 6. 49 7. 225 8. 170 3. 303 4. 197 Home Link 10᭜11 Home Link 10᭜4 1. 9 2. 15 3. 13 4. 6 1. 1.09; 2.5; 0.98; 3.18; 0.06 5. 13 Ϫ (9 ϩ 2) ϭ 2 3. 76 4. 72 5. 44 6. 18 6. (28 Ϫ 8) Ϫ 4 ϭ 16 Home Link 10᭜5 7. (150 Ϫ 70) Ϫ 40 ϭ 40 1. $0.70 2. $2.60 3. $1.00 8. 800 Ϫ (200 ϩ 300) ϭ 300 4. $1.30 5. $4.00 6. $1.20 9. 15 10. 100 7. $2.30 8. $1.30 ϩ $0.50 ϭ $1.80 Copyright © Wright Group/McGraw-Hill 25 Ϫ (15 ϩ 5) (50 ϩ 150) Ϫ 100 9. $0.80 ϩ $0.40 ϭ $1.20 (25 Ϫ 15) ϩ 5 50 ϩ (150 Ϫ 100) 10. $0.70 ϩ $0.90 ϭ $1.60 11. $1.40 ϩ $0.80 ϭ $2.20 (17 Ϫ 9) ϩ 7 400 Ϫ (300 Ϫ 200) 17 Ϫ (9 ϩ 7) (400 Ϫ 300) ϩ 200 Home Link 10᭜7 (3 ϩ 6) ϩ 6 1. 17 sq cm 2. 23 cm2 3. 10 square cm 3 ϩ (6 ϩ 6) 4. 9 cm2 5. 85 6. 29 Home Link 10᭜8 1. 4 62 2. 1, 3 26 3. 5, 0 06 4. 8 69 5. 2, 3 04 6. 4, 5 67 9. 1,183 10. 1,204 11. 158 12. 188 13. 29 292