ALEX Classroom Resource

Students:

• Recognize, describe, and explain arithmetic patterns.
• Given a number pattern, find the next number or numbers in the pattern.
• Given a number pattern, find a characteristic of the next number or numbers in the pattern.
• Given an addition table or multiplication table, find the missing values in the table.
• Given an addition table or multiplication table, find a characteristic of a row or column of that table.

Students know:

• that mathematical ideas and concepts build on patterns and recognize and identify those patterns to make sense of math, and the ability to make generalizations is the foundation for algebraic reasoning.

Students are able to:

• Identify arithmetic patterns in number sequences, in the addition table, or multiplication table.
• Use logical reasoning and properties of numbers and operations to explain characteristics of arithmetic patterns.

Students understand that:

• Mathematical concepts build on patterns.
• When consecutive terms always differ by the same amount, an arithmetic pattern is formed.
• Visual patterns can be found in the multiplication table.

Learning Objectives:
M.3.9.1: Define arithmetic patterns: geometric or numeric.
M.3.9.2: Explain arithmetic patterns using properties of operations.
M.3.9.3: Recognize arithmetic patterns (including geometric patterns or patterns in the addition table or multiplication table).
M.3.9.4: Construct repeating and growing patterns with a variety of representations.
M.3.9.5: Demonstrate computational fluency, including quick recall, of addition and multiplication facts.
M.3.9.6: Duplicate an existing pattern.
M.3.9.7: Skip count.
M.3.9.8: Represent addition and multiplication with manipulatives.