Mississippi College- and Career-Readiness Standards for Mathematics
3.OA.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table),
and explain them using properties of operations. For example, observe that 4 times a number is
always even, and explain why 4 times a number can be decomposed into two equal addends. (SMP
3, 7, and 8)
Course Emphases:
Major Content
Supporting Content
Additional Content
Prerequisite Skills
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Use an addition, multiplication table, and hundreds chart. (2.NBT.7)
Arithmetic patterns are patterns that change by the same rate, such as adding the same number.
(2.NBT.2)
The properties of operations can be used to identify arithmetic patterns. (2.NBT.9)
Determine whether a number is even or odd. (2.OA.3)
Key Terms (vocabulary)
Definition
Student-friendly language
Arithmetic patterns
A recurring configuration or
relationship where the sequence of
numbers is always adding or
subtracting the same number.
A pattern where the same number is
added or subtracted for each term in the
set of numbers.
Properties of operations
A rule that works for every number
such as the commutative properties of
addition and multiplication, the
associative properties of addition and
multiplication, the identity property, to
name a few.
The order (commutative) property for
addition and multiplication; the grouping
(associative) property for addition and
multiplication; the identity property of
zero ( a + 0 = a); the property of zero ( a x
0 = 0)
Key Verbs (skills)
Identify
Definition
To recognize a pattern and explain the
pattern using properties of operations.
Student-friendly language
To see a pattern and be able to explain
the pattern using properties of
operations.
“I Can” statements in student-friendly language
I can explain and model the relationship of odd and even number patterns with addition facts.
I can recognize that the sum of two even numbers is even.
I can recognize that the sum of two odd numbers is even.
I can recognize that the sum of an even and an odd number is odd.
I can explain and model the relationship of odd and even number patterns with multiplication facts.
I can recognize that if at least one factor is even, the product will be even.
I can use divisibility rules to identify arithmetic patterns.
I can use a multiplication table to locate examples of the commutative, identity, and zero properties of
multiplication.
I can use an addition table to locate examples of the commutative and identity properties of addition.
Essential Questions
What are ways that I can multiply?
What are the properties of multiplication?
What are multiplication patterns?
What are the multiples of ten?