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    HOME LINK
       59 3            Unit 6: Family Letter

   Whole-Number Operations and
   Number Stories
   In Unit 6, children will take another look at the addition and subtraction diagrams that
   were introduced in Unit 4.
   Later in this unit, children will strengthen their understanding of multiplication and
   division as they act out number stories using manipulatives and arrays, complete
   diagrams to show the relationships in multiplication problems, and then begin to
   record corresponding number models.


                                                                             Change
                                                                Start                         End
                                                                 9            +3              ?

                                                                                  Total
                                                                                  50
                                                                         Part          Part
                                                                             18           ?


                                                                             Quantity
                                                                                  35
                                                                  Quantity
                                                                        20                    ?

                                                                                                            Copyright © Wright Group/McGraw-Hill
                                                                                       Difference

                                                   above: addition and subtraction diagrams
                                                   left: A child uses an array to solve the following
                                                   problem: A sheet of stamps has 6 rows. Each row has
                                                   3 stamps. How many stamps are on a sheet?
                                                   below: multiplication diagram

                                                        boxes            marbles                  marbles
                                                                         per box                   in all

                                                            3                     7                  ?

   Please keep this Family Letter for reference as your child works through Unit 6.

    152

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HOME LINK
                                                                                HOME LINK
                                                                                  UNIT
                                                                                            Unit 6: Family Letter cont.
                                                                                  519
                                                                                   3
                                                                                   3




                                                   Vocabulary
                                                   Important terms in Unit 6:

                                                   comparison number story A number story that involves the difference between two
                                                   quantities. For example: Ross sold 12 cookies. Anthony sold 5 cookies. How many more
                                                   cookies did Ross sell?
                                                   comparison diagram A diagram used to organize the information from a comparison
                                                   number story. For example, the diagram below organizes the information from
                                                   Anthony’s cookie story above.


                                                                                     Quantity
                                                                                            12

                                                                           Quantity
                                                                                 5                    ?
                                                                                                 Difference
                                                   rectangular array An arrangement of objects into rows and columns.
                                                   For example, 20 pencils could be arranged in 4 rows of 5 pencils each.
            Copyright © Wright Group/McGraw-Hill




                                                   multiples of a number The product of the number and a counting number.
                                                   For example, multiples of 2 are 2, 4, 6, 8, and 10 because 2 × 1 = 2, 2 × 2 = 4,
                                                   2 × 3 = 6, and so on.
                                                   remainder The amount left over when one number is divided by another number. For
                                                   example, if 20 pencils are shared equally by 6 people, each person gets 3 pencils, and 2
                                                   are left over. The remainder is 2.




                                                                                                                                              153

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HOME LINK
                                                       Unit 6: Family Letter cont.
                                             5 39

   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. Have your child show you how making an array or making equal groups can help
      solve multiplication number stories. Use common objects, such as buttons or pennies,
      to act out the stories.
   2. Also try the opposite: Draw or make arrays and multiples of equal groups. Have your
      child make up and solve number stories to go with them.
   3. Discuss equal-sharing (division) stories. For example, use objects (such as pennies) to
      portray a situation like the following: We have 7 cookies to divide equally among 3
      people. How many whole cookies will each person get? (2) How many cookies will be
      left over? (1)




        Building Skills through Games
        In Unit 6, your child will practice addition, subtraction, and multiplication skills by
        playing the following games:

        Three Addends
        Players draw three cards, write addition models of the numbers they’ve picked, and
        solve the problems.

        Addition Top-It
        Each player turns over two cards and calls out their sum. The player with the higher
        sum then takes all the cards from
        that round.



                                                                                                  Copyright © Wright Group/McGraw-Hill
        Array Bingo
        Players roll the dice and find an
        Array Bingo card with the same
        number of dots. Players then turn
        that card over. The first player to
        have a row, column, or diagonal
        of facedown cards calls out
        “Bingo!” and wins the game.

        Number-Grid Difference Game
        Players subtract 2-digit numbers using the number grid.

        Fact Extension Game
        Players find sums of 2-digit numbers and multiples of ten.


   154

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HOME LINK
                                                                                                          HOME LINK
                                                                                                            UNIT
                                                                                                                             Unit 6: Family Letter cont.
                                                                                                               519
                                                                                                                3
                                                                                                                3




                                                   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 6 31                                                                       Home Link 6 34
                                                   Sample answers:                                                                      1. 30
                                                    1. 13 + 6 + 7 = 26                                                                  2. 28
                                                    2. 22 + 8 + 5 = 35                                                                   3. 20
                                                    3. 15 + 9 + 25 = 49
                                                                                                                                        Home Link 6 35
                                                    4. 29 + 11 + 6 = 46
                                                                                                                                         1.   58;   41 cubes left; 58 - 17 = 41
                                                    5. 69          6. 70                                            7.   62
                                                                                                                                         2.   26;   8 cubes left; 26 - 18 = 8
                                                    8. 83          9. 148                                          10.   190
                                                                                                                                         3.   43;   18 cubes left; 43 - 25 = 18
                                                   Home Link 6 32                                                                        4.   39;   7 cubes left; 39 - 32 = 7
                                                   1. $19; 29 - 10 = 19                                                                  5.   61;   14 cubes left; 61 - 47 = 14
                                                   2. 15 fewer laps; 20 + 15 = 35
                                                                                                                                        Home Link 6 36
                                                   3. June 22; 10 + 12 = 22
                                                                                                                                         1. 4 rows; 5 Xs in each row; 20
                                                   4.                     90           5.     40              6.     80
                                                                        + 11                + 15                    + 7                 Home Link 6 37
                                                                         101                  55                     87                  1. 3; 18          2. 2; 8          3.    10; 80
                                                   Home Link 6 33                                                                       Home Link 6 38
                                                   1.                                            Favorite Fruits                         1. 24
                                                                        10
                                                     Number of People




                                                                                                                                         2. 35
                                                                         5

                                                                                                                                        Home Link 6 39
                                                                         0
                                                                               apple    watermelon     pear         banana     grapes
                                                                                                                                        1. Total = 21; 7 × 3 = 21
                                                                                                      Fruit                             2. Total = 60; 6 × 10 = 60
                                                   2. grapes; pear                                                                      3. 5 rows; 6 dots in each row; 30
            Copyright © Wright Group/McGraw-Hill




                                                                                                                                        4. 3 rows; 9 squares per row; 27
                                                                                                                                        5. 6 rows; 6 squares in each row; 36

                                                                                                                                        Home Link 6 310
                                                                                                                                        3. by 2 people: 9¢ per person; 1¢ remaining
                                                                                                                                           by 3 people: 6¢ per person; 1¢ remaining
                                                                                                                                           by 4 people: 4¢ per person; 3¢ remaining




                                                                                                                                                                                           155

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Unit 6 family letter

  • 1. Name Date Time HOME LINK 59 3 Unit 6: Family Letter Whole-Number Operations and Number Stories In Unit 6, children will take another look at the addition and subtraction diagrams that were introduced in Unit 4. Later in this unit, children will strengthen their understanding of multiplication and division as they act out number stories using manipulatives and arrays, complete diagrams to show the relationships in multiplication problems, and then begin to record corresponding number models. Change Start End 9 +3 ? Total 50 Part Part 18 ? Quantity 35 Quantity 20 ? Copyright © Wright Group/McGraw-Hill Difference above: addition and subtraction diagrams left: A child uses an array to solve the following problem: A sheet of stamps has 6 rows. Each row has 3 stamps. How many stamps are on a sheet? below: multiplication diagram boxes marbles marbles per box in all 3 7 ? Please keep this Family Letter for reference as your child works through Unit 6. 152 120-155_EMCS_B_G2_MM_U05_576949.indd 152 1/26/11 3:44 PM
  • 2. HOME LINK HOME LINK UNIT Unit 6: Family Letter cont. 519 3 3 Vocabulary Important terms in Unit 6: comparison number story A number story that involves the difference between two quantities. For example: Ross sold 12 cookies. Anthony sold 5 cookies. How many more cookies did Ross sell? comparison diagram A diagram used to organize the information from a comparison number story. For example, the diagram below organizes the information from Anthony’s cookie story above. Quantity 12 Quantity 5 ? Difference rectangular array An arrangement of objects into rows and columns. For example, 20 pencils could be arranged in 4 rows of 5 pencils each. Copyright © Wright Group/McGraw-Hill multiples of a number The product of the number and a counting number. For example, multiples of 2 are 2, 4, 6, 8, and 10 because 2 × 1 = 2, 2 × 2 = 4, 2 × 3 = 6, and so on. remainder The amount left over when one number is divided by another number. For example, if 20 pencils are shared equally by 6 people, each person gets 3 pencils, and 2 are left over. The remainder is 2. 153 120-155_EMCS_B_G2_MM_U05_576949.indd 153 1/26/11 3:44 PM
  • 3. HOME LINK Unit 6: Family Letter cont. 5 39 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. Have your child show you how making an array or making equal groups can help solve multiplication number stories. Use common objects, such as buttons or pennies, to act out the stories. 2. Also try the opposite: Draw or make arrays and multiples of equal groups. Have your child make up and solve number stories to go with them. 3. Discuss equal-sharing (division) stories. For example, use objects (such as pennies) to portray a situation like the following: We have 7 cookies to divide equally among 3 people. How many whole cookies will each person get? (2) How many cookies will be left over? (1) Building Skills through Games In Unit 6, your child will practice addition, subtraction, and multiplication skills by playing the following games: Three Addends Players draw three cards, write addition models of the numbers they’ve picked, and solve the problems. Addition Top-It Each player turns over two cards and calls out their sum. The player with the higher sum then takes all the cards from that round. Copyright © Wright Group/McGraw-Hill Array Bingo Players roll the dice and find an Array Bingo card with the same number of dots. Players then turn that card over. The first player to have a row, column, or diagonal of facedown cards calls out “Bingo!” and wins the game. Number-Grid Difference Game Players subtract 2-digit numbers using the number grid. Fact Extension Game Players find sums of 2-digit numbers and multiples of ten. 154 120-155_EMCS_B_G2_MM_U05_576949.indd 154 1/26/11 3:44 PM
  • 4. HOME LINK HOME LINK UNIT Unit 6: Family Letter cont. 519 3 3 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 6 31 Home Link 6 34 Sample answers: 1. 30 1. 13 + 6 + 7 = 26 2. 28 2. 22 + 8 + 5 = 35 3. 20 3. 15 + 9 + 25 = 49 Home Link 6 35 4. 29 + 11 + 6 = 46 1. 58; 41 cubes left; 58 - 17 = 41 5. 69 6. 70 7. 62 2. 26; 8 cubes left; 26 - 18 = 8 8. 83 9. 148 10. 190 3. 43; 18 cubes left; 43 - 25 = 18 Home Link 6 32 4. 39; 7 cubes left; 39 - 32 = 7 1. $19; 29 - 10 = 19 5. 61; 14 cubes left; 61 - 47 = 14 2. 15 fewer laps; 20 + 15 = 35 Home Link 6 36 3. June 22; 10 + 12 = 22 1. 4 rows; 5 Xs in each row; 20 4. 90 5. 40 6. 80 + 11 + 15 + 7 Home Link 6 37 101 55 87 1. 3; 18 2. 2; 8 3. 10; 80 Home Link 6 33 Home Link 6 38 1. Favorite Fruits 1. 24 10 Number of People 2. 35 5 Home Link 6 39 0 apple watermelon pear banana grapes 1. Total = 21; 7 × 3 = 21 Fruit 2. Total = 60; 6 × 10 = 60 2. grapes; pear 3. 5 rows; 6 dots in each row; 30 Copyright © Wright Group/McGraw-Hill 4. 3 rows; 9 squares per row; 27 5. 6 rows; 6 squares in each row; 36 Home Link 6 310 3. by 2 people: 9¢ per person; 1¢ remaining by 3 people: 6¢ per person; 1¢ remaining by 4 people: 4¢ per person; 3¢ remaining 155 120-155_EMCS_B_G2_MM_U05_576949.indd 155 1/26/11 3:44 PM