q2-day_54-coordinate_grid_ce by JuyeeDasNair

VIEWS: 6 PAGES: 8

More Info
									                                  Mathematics Alignment Lesson
                                   Grade 5 Quarter 2 Day 54
          Common Core State Standard(s)                                             Alignment Lesson
5.G.1 Use a pair of perpendicular number lines,                                   Coordinate Grid Centers
      called axes, to define a coordinate system,
      with the intersection of the lines (the origin)
      arranged to coincide with the 0 on each line and             1. Explain to students that they will rotate through
      a given point in the place located by using an                   various centers today to review the many ways to use
      ordered pair of numbers, called its coordinates.                 and interpret points on a coordinate grid. Tell them
      Understand that the first number indicates how
      far to travel from the origin in the direction of                that for half of the time, they will play a game similar
      one axis, & the second number indicates how                      to “Battleship” and the other half of the time will be
      far to travel in the direction of the second axis,               spent working on shorter activities in other centers.
      with the convention that the names of the two
      axes and the coordinates correspond (e.g. x- axis
      and x-coordinate, y-axis and y-coordinate).                  2. Briefly read and discuss each center, including
5.G.2 Represent real world and mathematical problems by               Transparency/Blackline Master “Capture the
      graphing points in the first quadrant of the coordinate
      plane, and interpret coordinate values of points                Aliens”, and its instructions so that students can ask
      in the context of the situation.                                clarifying questions. At this point, you can show
                                                                      students where they will work on each activity.
     Standards for Mathematical Practice
Standard 4 Model with mathematics.                                 3. Split the class in half and have half of the class start
Standard 6 Attend to precision.                                       playing “Capture the Aliens”. Meanwhile the other
                                                                      half of the class should start on the other 3 centers.
                                                                      Circulate while students work to check for
              Materials Needed:
                                                                      understand and informally assess students. Give
    Transparencies/Blackline Masters-
         “Coordinate Grid – Center 1”,                                students about 7 – 8 minutes at each of the 3 centers.
         “Coordinate Grid Center 2”,                                  Once the entire 21 – 24 minutes are up, have students
         “Coordinate Grid Center 3”, “Capture                         who were playing “Capture the Aliens” switch to the
         the Aliens”                                                  centers and vice versa.
    Rulers
                                                                   4. Use the final 10 – 15 minutes of class to allow
                                                                      student leaders to share their answers for each center
                                                                      and the strategies they used when playing “Capture
                                                                      the Aliens”.
                     Assessment
Ask students: “How does extending the line on a
line graph help you answer questions?” “What                    Note: Be sure to set aside different areas in the classroom for
strategies are you using while playing Capture                  each half of the class to work (the students playing Capture
the Aliens? How does knowing a lot about                        the Aliens should be separated from those working on the
ordered pairs help you?”                                        other 3 centers).

                      Homework                                  Source: Teacher Created & Previous Alignment Lesson
Blackline Master, “Capture the Aliens Journal
    Prompt”

                                                          Vocabulary
Coordinate Plane – a system of coordinates formed by the perpendicular intersection of horizontal and vertical number lines.
x-axis –the horizontal axis of a two-dimensional coordinate grid
y-axis – the vertical axis of a two-dimensional coordinate grid
ordered pair – a pair of numbers that shows the position of a point on a graph
origin – the point (0,0) on a two-dimensional coordinate grid

Wake County Public School System, 2012
                        Transparency     Grade 5    Day 53   Standard 5.G.1 & 5.G.2


                              Coordinate Grid – Center 1

Directions: Work with a partner or small group. Take turns asking each other questions
in which the answer is one of the numbers on the grid below. Rather than responding with
the answer, the person answering must reply with the coordinates for the answer. For
example:
                         Student 1: “What is the product of 6 and 7?”
                         Student 2: “(1,5)”

Once the student has answered, everyone checks to make sure they are correct and then the
game moves on with the next person’s turn.




    5              42              72          30             45           19         14   16

    4              12              20          36             49           27         28    2

    3              21              13          10             24           25         35   32
                                                                                           32
    2              55              15          81             18           48         63   72

    1              56               6          64             11           54         60    4


        0            1              2              3           4            5          6        7




Wake County Public School System, 2012
                            Transparency            Grade 5     Day 53          Standard 5.G.1 & 5.G.2
                                       Coordinate Grid – Center 2
Directions: Find the missing point(s) to create the polygon in the example given. Then, create your
own challenging polygon question using the coordinate grid. Switch questions with your partner or
within your group and answer each other’s questions.

     1.    The coordinates (1, 3) and (3,7) are two of the vertices of a quadrilateral. Name two vertices that
          would make this quadrilateral a rectangle. Name two vertices that would make this quadrilateral a
          trapezoid.

          Rectangle: ___________________                            Trapezoid: ____________________
                   10
                   9
                   8
                   7
                   6
                   5
                   4
                   3
                   2
                   1

                               1        2       3       4       5       6         7       8       9       10
                    0
2.



                       10
                       9
                       8
                       7
                       6
                       5
                       4
                       3
                       2
                       1

                                   1        2       3       4       5       6         7       8       9    10
                        0
Wake County Public School System, 2012
                           Answer Key        Grade 5         Day 53       Standard 5.G.1 & 5.G.2
                 Coordinate Grid – Center 2 – Answer Key
Directions: Find the missing point(s) to create the polygon in the example given. Then, create your
own challenging polygon question using the coordinate grid. Switch questions with your partner or
within your group and answer each other’s questions.

    1.    The coordinates (1, 3) and (3,7) are two of the vertices of a quadrilateral. Name two vertices that
         would make this quadrilateral a rectangle. Name two vertices that would make this quadrilateral a
         trapezoid.

         Rectangle: (3,3) and (1,7)                              Trapezoid: one possibility (5, 7) and (7, 3)
                  10
                  9
                  8
                  7
                  6
                  5
                  4
                  3
                  2
                  1

                             1       2       3       4       5        6       7       8       9       10
                   0
    2.   Questions will vary.


                      10
                      9
                      8
                      7
                      6
                      5
                      4
                      3
                      2
                      1

                                 1       2       3       4       5        6       7       8       9    10
                       0

Wake County Public School System, 2012
                       Transparency       Grade 5                            Day 53   Standard 5.G.1 & 5.G.2
                              Coordinate Grid – Center 3
Directions:
         1. Use the information below to complete the table.
         2. Complete the scale for each axis, then graph the order pairs created in the table.
         3. Use the graph to answer the questions below.

 A taxi service charges $4.00 per ride, plus $2 per mile. Complete the table to show the cost of the
                                                rides.

                                                                                                Taxi Service Cost
               Miles             Cost
               (m)                (c)
                1                  6
                                               Cost in dollars (c)
                 2

                 3

                 4
                                                                     8
                 5                                                   6
                                                                     4
                                                                     2



                                                                         0      1     2     3     4     5
                                                                                                       Miles (m)

    1.   Extend the line on the graph. What ordered pair represents the cost of a 7-mile ride?



    2.   What ordered pair represents the cost of a 9-mile ride?



    3.   What ordered pair represents the distance of a ride if the cost of the ride is $24?



    4.    Imagine you extended the line on the graph even further. Would the point (48, 100) be on the
         line? Explain why or why not.




Adapted from Math Expressions Extension Lesson 4 (Teacher Edition p. 1193)
Wake County Public School System, 2012
                       Blackline Master    Grade 5                          Day 53   Standard 5.G.1 & 5.G.2
                 Coordinate Grid – Center 3 – Answer Key
Directions:
        1. Use the information below to complete the table.
        2. Complete the scale for each axis, then graph the order pairs created in the table.
        3. Use the graph to answer the questions below.

 A taxi service charges $4.00 per ride, plus $2 per mile. Complete the table to show the cost of the
                                                rides.

                                                                                             Taxi Service Cost
               Miles             Cost
               (m)                (c)
                1                  6
                                              Cost in dollars (c)
                 2                 8

                 3                10

                 4                12
                                                                    8
                 5                14                                6
                                                                    4
                                                                    2



                                                                        0     1      2   3     4     5
                                                                                                    Miles (m)

        1.    Extend the line on the graph. What ordered pair represents the cost of a 7-mile ride? $18.00

        2.   What ordered pair represents the cost of a 9-mile ride? $22.00

        3.   What ordered pair represents the distance of a ride if the cost of the ride is $24? $10.00

        4.    Imagine you extended the line on the graph even further. Would the point (48, 100) be on the
             line? Explain why or why not. Yes because 48 represents the miles. 48 times 2 is 96 and
             96 plus 4 is 100. 100 represents the cost therefore (48, 100) would be a point on the line.




Adapted from Math Expressions Extension Lesson 4 (Teacher Edition p. 1193)
Wake County Public School System, 2012
                               Blackline Master       Grade 5       Day 53   Standard 5.G.1 & 5.G.2
   DIRECTIONS                                   Capture the Aliens
                                  Capture your opponent’s aliens before they capture yours!!          Keep track of the shots
Place 5 aliens on                                                                                        you fire at your
your board (by                                         My Gameboard                                   opponent’s aliens and
plotting the points                                                                                    the shots they fire at
and connecting them                                                                                            you.
                          10
with a line):
 1 king alien- 5         9
                                                                                                       Shots        Shots
    points long           8                                                                           Fired at     Fired at
 1 queen alien – 4
    points                7                                                                             Me        Opponent
 1 prince alien – 3      6
    points                5
 1 princess alien
    – 3 points            4
 1 servant alien –       3
    2 points
                          2
When your opponent        1
fires at you:
 Mark X on “My
                                    1     2       3     4       5      6     7     8     9    10
     Gameboard” on
     top of the point
                          0
     you plotted as
     part of the alien
     if he/she hits one
     of your aliens                           My Opponent’s Gameboard
 Mark ● on “My
     Gameboard”           10
     when he/she          9
     misses
                          8
 Write the
     coordinate in the    7
     table                6
When you fire at          5
your opponent:            4
 Mark X (on the
   “My Opponents
                          3
   Gameboard” if          2
   you hit one of         1
   their aliens
 Mark ● (on “My
   Opponent’s                       1     2       3     4       5      6     7     8     9    10
   Gameboard”             0
   when you miss
 Write the
   coordinate in the
   table



      Adapted from 4th Grade (2009) Alignment Lesson Day 126
      Wake County Public School System, 2012
                    Blackline Master     Grade 5   Day 53   Standard 5.G.1 & 5.G.2
                                              Name: __________________________________
                                              Date:___________________________________

                          Capture the Aliens Journal Prompt
Write a letter to a friend who has never played “Capture the Aliens”. Explain to them why
they need to have a good understanding of ordered pairs to be successful. Give your friend
                       specific strategies they could use to win the game.




Wake County Public School System, 2012

								
To top