Eligible Content M3.D.1.1.2


Help Me To:   

Identify/describe the rule for a pattern shown (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.  To describe a
pattern is to write a rule for the pattern.

Look at the example below.

whole

There are three squares, followed by one circle, followed by two triangles.  After the two triangles,
there are again three squares, then one circle, and then two triangles.  This geometric pattern
will continue to follow that rule.

 

Check What You Know First

Geometric Patterns – Identifying a Rule

What would be the rule for this pattern?  Hint - Name the repeating shapes.

whole

 

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.  These three guidelines will help you
find what figure comes next in a geometric pattern. 

Sometimes a pattern will have figures with different shapes, sizes, shadings or markings. 
You may need all three guidelines to find the next figure in the pattern.

 

Look at the shapes of the figures.

shapes

The rule pattern is circle, square, triangle, circle, square, triangle, circle, square, and the
next figure in the pattern is a triangle.

 

Look at the sizes of the figures.

shapes

The rule pattern is small star, big star, small star, big star, small star, big star, small star
and the next figure in the pattern would be a big star.

 

Look at the shading or marks in the figures.

shapes

The rule pattern is circle with a red line through the center, a solid red circle, a red circle with a
white circle in the center and then a solid circle again.  The pattern repeats with a circle with a
red line through the center, a solid red circle and a red circle with a white center.

The next figure would be a circle with a red line through the center.

 

Try This

What shape comes next?

shapes
 

What would be the next shape in the pattern?

Point Here for the answer

 

Websites to Check Out For Extra Practice

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/

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


Did You Know?

There are many different kinds of number patterns.  You need to find a rule for a
pattern to find the next number in a pattern.  The rule might be to add 2, subtract 2,
or multiply by 2.

 

Check What You Know First

Number Patterns – Identifying a Rule

What would be the rule for this pattern?          

3, 5, 7, 9, question 13, 15

What is the missing number in the pattern?    

 

What would be the rule for this pattern?          

26, 22, 18, 14, question 6, 2

What is the missing number in the pattern?    

 

What would be the rule for this pattern?          

3, 6, 12, question 48, 96

What is the missing number in the pattern?    

 

Learn About It Now

There are many different kinds of number patterns. You can start with the first number and look
at the change between the first number and the second number. You ask yourself if the
number increases or decreases. In the example below, the number increases by 2 so you
can try adding 2. If that works, add 2 to the next number to determine if the pattern does continue.
In this problem, you can add 2 to each number so the number after 10 is 12.

Because the numbers are increasing by 2, the rule is to add 2.
The missing number in this pattern is 11.

3,  5,  7,  9,  ?  13, 15

 

In this problem, the numbers are decreasing by 4, so you try subtracting 4 from each
number to determine if the pattern continues.  By subtracting 4 from 14, you get the answer 10.

Because the numbers are decreasing by 4, the rule is subtract 4.  The missing number in
this pattern is 10.

26,  22,  18,  14,  ?  6, 2

 

In this problem, the numbers in the pattern are increasing more rapidly, so try multiplying
instead of adding.  In this case, when you multiply each number by 2, you get the answer 24
for the missing pattern.

Because the numbers are increasing with a greater interval, the rule is multiply by 2.
The missing number in this pattern is 24.

3,  6,  12,  ?  48, 96

 

More Practice With Number Patterns

3, 14, 25,  36,  question  58, 69

What would be the rule for this pattern?

 

What is the missing number in the pattern?

 

10,  15,  20,  25, question  35,   40

What would be the rule for this pattern?

 

What is the missing number in the pattern?

 

56,  50,  44,  38, question  26,   20

What would be the rule for this pattern?

 

What is the missing number in the pattern?

 

5,  10,  20,  question  80,  100

What would be the rule for this pattern?

 

What is the missing number in the pattern?

 

Websites to Check Out For Extra Practice

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 missing numbers in a pattern. 
http://beaconlearningcenter.com/WebLessons/

Scroll down and find:
Hotel 6 – Use a pattern to solve multiplication problems
Nine Pattern – Explore patterns while multiplying and dividing by 9