ARCHIVED BPS District Mathematics Standards Book (2017-2023)
Math Learning Progressions
> Operations and Algebraic Thinking
Kindergarten
MAT-00.OA Domain: [OA] Operations and Algebraic Thinking
Understand addition as putting together and adding to, and underst
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- MAT-00.OA.01 Represent addition and subtraction with objects
- MAT-00.OA.02 Solve addition and subtract word problems to 10
- MAT-00.OA.03 Decompose numbers less than or equal to 10 into pairs
- MAT-00.OA.04 Find the number that makes 10 when added to 1-9
- MAT-00.OA.05 Fluently add and subtract basic facts within 5
1st Grade
MAT-01.OA Domain: [OA] Operations and Algebraic Thinking
Represent and solve problems involving addition and subtraction.
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- MAT-01.OA.01 Solve addition and subtraction word problems within 20
- MAT-01.OA.02 Solve word problems of addition of three whole numbers whose sum <=20
Understand and apply properties of operations and the relationship
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- MAT-01.OA.03 Apply properties of operations as strategies to add and subtract
- MAT-01.OA.04 Understand subtraction as an unknown-addend problem
Add and subtract within 20.
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- MAT-01.OA.05 Relate counting to addition and subtraction
- MAT-01.OA.06 Add and subtract within 20, with fluency within 10
Work with addition and subtraction equations.
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- MAT-01.OA.07 Understand the meaning of the equal sign
- MAT-01.OA.08 Determine the unknown number in addition or subtraction equations
2nd Grade
MAT-02.OA Domain: [OA] Operations and Algebraic Thinking
Represent and solve problems involving addition and subtraction.
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- MAT-02.OA.01 Solve addition and subtraction word problems within 100
Add and subtract within 20.
Work with equal groups of objects to gain foundations for multipli
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- MAT-02.OA.03 Determine whether a group of objects has an odd or even number of member
- MAT-02.OA.04 Add to find the number of objects arranged in arrays
3rd Grade
MAT-03.OA Domain: [OA] Operations and Algebraic Thinking
Represent and solve problems involving multiplication and division
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- MAT-03.OA.01 Interpret products of whole numbers
- MAT-03.OA.02 Interpret whole-number quotients of whole numbers
- MAT-03.OA.03 Use multiplication and division within 100 to solve word problems
- MAT-03.OA.04 Determine the unknown whole number in a multiplication or division equat
Understand properties of multiplication and the relationship betwe
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- MAT-03.OA.05 Apply properties of operations as strategies to multiply and divide
- MAT-03.OA.06 Understand division as an unknown-factor problem
Multiply and divide within 100.
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- MAT-03.OA.07 Fluently multiply and divide basic facts within 100*
Solve problems involving the four operations, and identify and exp
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- MAT-03.OA.08 Solve two-step word problems using the four operations
- MAT-03.OA.09 Identify arithmetic patterns and explain them using properties of operations
4th Grade
MAT-04.OA Domain: [OA] Operations and Algebraic Thinking
Use the four operations with whole numbers to solve problems.
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- MAT-04.OA.01 Interpret a multiplication equation as a comparison
- MAT-04.OA.02 Multiply or divide to solve word problems involving multiplicative compa
- MAT-04.OA.03 Solve multistep word problems in all operations
Gain familiarity with factors and multiples.
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- MAT-04.OA.04 Find all factor pairs for a whole number in the range 1-100
Generate and analyze patterns.
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- MAT-04.OA.05 Generate a number or shape pattern that follows a given rule
5th Grade
MAT-05.OA Domain: [OA] Operations and Algebraic Thinking
Write and interpret numerical expressions.
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- MAT-05.OA.01 Use parentheses, brackets, or braces in numerical expressions
- MAT-05.OA.02 Write simple and interpret expressions
Analyze patterns and relationships.
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- MAT-05.OA.03 Generate two numerical patterns using two given rules
- MAT-05.OA.04 Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in
the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.