Eligible Content M3.D.1.1.1
Help Me To: 
Extend or find a missing element in a pattern of numbers
or shapes (pattern must show 3 repetitions – if multiples are
used,
limit to 2, 3 or 5).
Did You Know?
A pattern is an arrangement of items or numbers generated by some repeating
process.
Logical reason and the order of items can be used to identify the
pattern.
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The pattern above repeats itself beginning with a red square followed by a green triangle.
Check What You Know First
Geometric Patterns – Finding a Missing Shape
What would the next two shapes be?
Key Vocabulary
A pattern is
an arrangement of items which could be shapes or
numbers generated by some
repeating process. Logical reasoning and
the order of
items can be used to identify the pattern.
Learn About It Now
Geometric patterns are made up of shapes. A geometric pattern usually
repeats the shapes that
make up the pattern. You have to see where the
pattern starts to repeat before you can tell the
order of the whole pattern.
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In the example that you did, the pattern began with a blue circle, followed
by a red square and
a yellow triangle. After the yellow triangle, the
pattern started to repeat itself with another
blue circle followed by a red
square and then a yellow triangle.
Try This
What shape comes next?
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What would be the next shape in the pattern? |
Learn About It Now
Within the same shape, you can use the order of the shapes in a design to identify a pattern.
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Every other figure is a solid circle. So the next figure is a solid circle. |
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The
figures |
and |
alternate. |
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So the next figure after the last solid circle is a |
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Websites to Check Out For Extra Practice With Geometric Patterns
Click below to practice filling in the next
pattern in the pattern machine.
For directions, click on the question mark when you reach
the game. You can change the
difficulty from easy to hard.
http://games.funschool.com/game.php?g=1043&s=0&category=0&level=0
Click below to practice finding the missing
number in a pattern.
http://www.funbrain.com/cracker/index.html
Click below to for short games on finding patterns.
http://www.beaconlearningcenter.com/WebLessons/
Scroll down and find:
Brenda's Bedroom
Border – Complete
a shape pattern.
Christmas Lights – Identify
and complete patterns of objects
Pattern Detectives – Identify
patterns in a variety of settings
Check What You Know First
Number Patterns – Finding a Missing Number
| What number is next in the pattern? |
| 11, 12, 13, |
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| What number is next in the pattern? |
| 26, 25, 24, |
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| What number is next in the pattern? |
| 2, 4, 6, |
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| What number is next in the pattern? |
| 15, 13, 11, |
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Learn About It Now
Counting numbers have an order. You may need to find a number that is missing
from
a group of numbers. The numbers may be counting up or counting down.
In easier sequences, look to see if the other numbers are counting up or counting
down.
Then find the missing number that completes the count up or count
down.
In this problem, you are counting up so the next number is 14.
11, 12, 13, ___, 15, 16
In this problem, you are counting down so the next number 23.
26, 25, 24, ___, 22, 21
You can also find a missing number in a more difficult sequence
by determining if the
order of numbers is going up (getting larger in value)
or going down (becoming smaller in value.)
You can then either add or subtract to find the difference between numbers
that are
next to each other. Then use the difference between numbers
to find the missing number.
In the example below, the order of numbers is going up. The difference between
these
numbers is 2. Since the order is going up, add 2 to each number.
You add 2 + 2 = 4, 4 + 2 = 6.
The missing number is 8 since
it is 2 more than 6. If you add 8 + 2 you get 10 which continues the
pattern.
2, 4, 6, ___, 10, 12
In the example below, the order of numbers is going down. Since
the order is going down,
subtract 2 from each number. Subtract 11 – 2. The
missing number is 9. If you
subtract 9 – 2, you get 7. Subtracting
7 – 2 = 5 which continues the pattern.
15, 13, 11, ___, 7, 5
Websites to Check Out For More Practice On Number Patterns
Click below to
practice finding the missing number in a pattern.
http://www.aaamath.com/B/pat.htm
Click below to practice finding the missing
number in a pattern.
http://www.funbrain.com/cracker/index.html
Click below to for short games on finding patterns.
http://www.beaconlearningcenter.com/WebLessons/
Hotel
6 – Use a pattern to solve multiplication problems
Nine Pattern – Explore patterns while multiplying
and dividing by 9