Lesson 6.6:.  Sam is organizing her greeting cards. She has 8 red cards and 8 blue cards. She puts the red ones in 2 columns and the blue ones in 2 columns.

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Presentation transcript:

Lesson 6.6:

 Sam is organizing her greeting cards. She has 8 red cards and 8 blue cards. She puts the red ones in 2 columns and the blue ones in 2 columns to make an array.  Draw a picture of Sam’s greeting cards in the array.  Write a statement about Sam’s array.

 Solution

 Use the counters to create this array directly onto your notebook.  How many rows do you see?  4 rows  Are the rows equal?  We are going to call a row a group.  How many equal groups are there?  How many beans are in each group?

 I am going to pull this array apart with the ruler so we can clearly see our 4 rows.  There are 5 beans in the first row. With your marker, write 5 to the right of the row.  And there are 5 in the second row.  is?

 Add 5 more for the third row is?  Add 5 more for the last row is?  Look at all these fives!  What number sentence can we write underneath to show the total number of beans?

 How many addends do you see?  So, there are 4 fives, and equals 20!

 Using your counters, work with your partner to make an array with 5 columns of 4 beans on your notebook.  Watch now as I use my ruler to add about a 2 inch space between each column.  Now it is your turn…Use the ruler, to separate the columns so there are about 2 inches between each.  How many columns do you see?  5 columns.  Are the columns equal?

 Now let’s say a column is a group. How many equal groups are there?  Let’s count the number in each group.  Write 4 at the bottom of each column.  If there are 4 beans in the first column, how many are in each column?

 Turn and talk: Can we make this into an addition sentence to find the total number of beans?  We can put a plus sign between each number.  Add the number in each group to find the total.  Let’s count to find the total.

 is…?  Add 4 more?  And the last 4?  20  Do we have the same total number of beans as before?

 Now we are going to add a column of 4 beans to the right of the array.  How many columns do we have now?  Turn and talk: How many beans do we have now and how do you know?  There are 24 beans, because = 24.  We know there are 24 beans now, because there were 20, and we added on 4 more.  We added another group of 4, so there are 24.

 Let’s try another. With your partner create an array with 3 rows of 6 tiles.  How many equal groups of 6 do you see?  Turn and talk: What number sentence would you use to find the total?  = 18  How many groups, or addends, are there?  So, there are 3 sixes! And if you add them, , you have 18.

 Turn and talk: How many columns do you see and how many tiles in each column?  There are 6 columns of 3 tiles.  Let’s check that using our ruler. Use the ruler to separate the tiles into 6 columns of 3 tiles.  How many columns?  How many tiles in each column?  Turn and talk: What number sentence would you use to find the total?  = 18

 We made an array with 3 rows of 6 and 6 columns of 3, and the total was the same  Add another column of 3 tiles.  Turn and talk: How many tiles are there now, and how do you know?  There are 21, because = 18, plus 3 more is 21.  We know there were 18, so we added 3 more, and that makes 21.

 Draw the array. Use the array to answer the questions below.  ____ rows of ____ = _____  ____ columns of ____ = _____  _____ + _____ + _____ + _____ = _____  Add 1 more row. How many stars are there now?  Add 1 more column to the new array you made in 1(d). How many stars are there now?