BPS District Mathematics Standards

Math Learning Progressions

--> Operations and Algebraic Thinking

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[A] Algebra [F] Functions

Operations and Algebraic Thinking

Kindergarten

MAT-00.OA Domain: [OA] Operations and Algebraic Thinking 

Understand addition as putting together and adding to, and underst

    • 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.

    • 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

    • 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.

    • 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.

    • 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.

    • 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

    • 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

    • 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

    • 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.

    • MAT-03.OA.07 Fluently multiply and divide basic facts within 100*

Solve problems involving the four operations, and identify and exp

    • 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.

    • 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.

    • MAT-04.OA.04 Find all factor pairs for a whole number in the range 1-100

Generate and analyze patterns.

    • 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.

    • 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.

    • MAT-05.OA.03 Generate two numerical patterns using two given rules