We created and described shape patterns and number patterns.

We saw shapes that grew or repeated by certain rules. Then we used numbers to help us notice and explain different ways the patterns changed.

We also saw numbers that increased by certain rules and used what we know about even and odd numbers, place value, factors, multiples, and properties of operations to describe and explain the patterns.

Here are some examples of the patterns:

• Shapes that grow by a rule: start with 5, keep adding 5 

  

• Shapes that repeat by a rule: triangle, circle, triangle, square, repeat

  

  ▲ : 1, 3, 5, 7, . .

  ◯ : 2, 6, 10, . . .

  ▨ : 4, 8, 12, . . .

• Numbers that change by a rule

  start with 9, keep adding 9	start with 10, keep adding 10	start with 15,  keep adding 15	start with 10, double it
  9	10	15	10
  18	20	30	20
  27	30	45	40
  36	40	60	80
  45	50	75	160

We learned we can use what we notice about a pattern to predict other shapes or numbers in the sequence.

Sometimes, we can use addition and multiplication to predict other shapes or numbers. Other times we can see how the digits in the numbers change to make predictions or determine if a shape or number is in the pattern.