BPS District Mathematics Standards Book
Math Learning Progressions
> Operations and Algebraic Thinking
Operations and Algebraic Thinking
MAT00.OA Domain: [OA] Operations and Algebraic Thinking
Understand addition as putting together and adding to, and underst

 MAT00.OA.01 Represent addition and subtraction with objects
 MAT00.OA.02 Solve addition and subtract word problems to 10
 MAT00.OA.03 Decompose numbers less than or equal to 10 into pairs
 MAT00.OA.04 Find the number that makes 10 when added to 19
 MAT00.OA.05 Fluently add and subtract basic facts within 5
MAT01.OA Domain: [OA] Operations and Algebraic Thinking
Represent and solve problems involving addition and subtraction.

 MAT01.OA.01 Solve addition and subtraction word problems within 20
 MAT01.OA.02 Solve word problems of addition of three whole numbers whose sum <=20
Understand and apply properties of operations and the relationship

 MAT01.OA.03 Apply properties of operations as strategies to add and subtract
 MAT01.OA.04 Understand subtraction as an unknownaddend problem
Add and subtract within 20.

 MAT01.OA.05 Relate counting to addition and subtraction
 MAT01.OA.06 Add and subtract within 20, with fluency within 10
Work with addition and subtraction equations.

 MAT01.OA.07 Understand the meaning of the equal sign
 MAT01.OA.08 Determine the unknown number in addition or subtraction equations
MAT02.OA Domain: [OA] Operations and Algebraic Thinking
Represent and solve problems involving addition and subtraction.

 MAT02.OA.01 Solve addition and subtraction word problems within 100
Add and subtract within 20.

 MAT02.OA.02 Fluently add and subtract within 20*
Work with equal groups of objects to gain foundations for multipli

 MAT02.OA.03 Determine whether a group of objects has an odd or even number of member
 MAT02.OA.04 Add to find the number of objects arranged in arrays
MAT03.OA Domain: [OA] Operations and Algebraic Thinking
Represent and solve problems involving multiplication and division

 MAT03.OA.01 Interpret products of whole numbers
 MAT03.OA.02 Interpret wholenumber quotients of whole numbers
 MAT03.OA.03 Use multiplication and division within 100 to solve word problems
 MAT03.OA.04 Determine the unknown whole number in a multiplication or division equat
Understand properties of multiplication and the relationship betwe

 MAT03.OA.05 Apply properties of operations as strategies to multiply and divide
 MAT03.OA.06 Understand division as an unknownfactor problem
Multiply and divide within 100.

 MAT03.OA.07 Fluently multiply and divide basic facts within 100*
Solve problems involving the four operations, and identify and exp

 MAT03.OA.08 Solve twostep word problems using the four operations
 MAT03.OA.09 Identify arithmetic patterns and explain them using properties of operations
MAT04.OA Domain: [OA] Operations and Algebraic Thinking
Use the four operations with whole numbers to solve problems.

 MAT04.OA.01 Interpret a multiplication equation as a comparison
 MAT04.OA.02 Multiply or divide to solve word problems involving multiplicative compa
 MAT04.OA.03 Solve multistep word problems in all operations
Gain familiarity with factors and multiples.

 MAT04.OA.04 Find all factor pairs for a whole number in the range 1100
Generate and analyze patterns.

 MAT04.OA.05 Generate a number or shape pattern that follows a given rule
 MAT04.OA.05 Generate a number or shape pattern that follows a given rule
MAT05.OA Domain: [OA] Operations and Algebraic Thinking
Write and interpret numerical expressions.

 MAT05.OA.01 Use parentheses, brackets, or braces in numerical expressions
 MAT05.OA.02 Write simple and interpret expressions
Analyze patterns and relationships.

 MAT05.OA.03 Generate two numerical patterns using two given rules
 MAT05.OA.04 Find all factor pairs for a whole number in the range 1100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in
the range 1100 is a multiple of a given onedigit number. Determine whether a given whole number in the range 1100 is prime or composite.