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.

whole

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?

wholePoint Here for the answer

Key Vocabulary

whole   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.

shapes

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?

shapes
 

What would be the next shape in the pattern?

Point Here for the answer



Learn About It Now

Within the same shape, you can use the order of the shapes in a design to identify a pattern.

shapes

Every other figure is a solid circle. 

So the next figure is a solid circle.

circle

 

The figures
 and
donut
alternate.
 

So the next figure after the last solid circle is a 

slash



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, question 15, 16

red

 

What number is next in the pattern?
26, 25, 24, question 22, 21

red

 

What number is next in the pattern?
2, 4, 6, question 10, 12

red

 

What number is next in the pattern?
15, 13, 11, question 7, 5

red

 

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