MAT-00.AR Domain 

(AR) Number and Operations  Learners will develop a foundational understanding of the number system, operations, and computational fluency to create connections and solve problems within and across concepts.

Sub-Categories

• (OA) Operations and Algebraic Thinking
  Learners will analyze patterns and relationships to generate and interpret numerical expressions.
• (RP) Ratios and Proportional Relationships
  Learners will use ratios, rates, and proportions to model relationships and solve problems.
• (EE) Expressions and Equations
  Learners will look for, generate, and make sense of patterns, relationships, and algebraic symbols to represent mathematical models while adapting approaches in novel situations.
• (F) Functions
  Learners will develop a foundational knowledge of functions and use them to model relationships between quantities.

Calculation Method for Domains

Domains are larger groups of related standards. The Domain Grade is a calculation of all the related standards. Click on the standard name below each Domain to access the learning targets and rubrics/ proficiency scales for individual standards within the domain.

Kindergarten (MAT) Targeted Standard     (AR) Algebraic Reasoning  (OA) Operations and Algebraic Thinking Learners will analyze patterns and relationships to generate and interpret numerical expressions.

Proficiency Scale

Progressions

Operations – Basic Facts

• MAT-00.AR.OA.01 Automatically add and subtract within 5. 
• MAT-01.AR.OA.01 Automatically add and subtract within 10. 
• MAT-02.AR.OA.01 Automatically add and subtract within 20. 
• MAT-03.AR.OA.01 Using mental strategies, multiply and divide basic facts within 100. Automatically multiply and divide up to 5 x 5 and 10s facts. 
• MAT-04.AR.OA.01 Automatically multiply and divide through 10 x 10. 
• MAT-05.AR.OA.01 Automatically multiply and divide through 12 x 12.

Kindergarten (MAT) Targeted Standard     (AR) Algebraic Reasoning  (OA) Operations and Algebraic Thinking Learners will analyze patterns and relationships to generate and interpret numerical expressions.

Proficiency Scale

Progressions

Adding On

• MAT-00.AR.OA.02 For any number from 1 to 9, find the number that makes 10 when added to the given number, sharing the answer with a model, drawing, or equation.
  
• MAT-01.AR.OA.02 For any number from 1 to 19, find the number that makes 20 when added to the given number, sharing the answer with a model, drawing, or equation.

Kindergarten (MAT) Targeted Standard     (AR) Algebraic Reasoning  (OA) Operations and Algebraic Thinking Learners will analyze patterns and relationships to generate and interpret numerical expressions.

Proficiency Scale

Progressions

Decompose Numbers and/or Expressions

• MAT-00.AR.OA.03 Decompose numbers less than or equal to 10 into pairs in more than one way using verbal explanations, objects, or drawings. 
• MAT-01.AR.OA.03 Decompose numbers less than or equal to 20 in more than one way. 
• MAT-09.AR.01 Use the structure of an expression (i.e., quadratic and exponential) to identify ways to rewrite it. 
• MAT-09.AR.F.06 Write a function defined by an expression in different but equivalent forms to reveal and explain the different properties of the function. 
• MAT-09.AR.F.11 Interpret the parameters in a linear, quadratic, or exponential function in context. 
• MAT-12.AR.01 Use the structure of an expression (to extend to polynomial and rational expressions) to identify ways to rewrite it. 
• MAT-12.AR.03 Interpret expressions that represent a quantity in context. 
• MAT-12.AR.06 Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, division, or technology for the more complicated examples. 
• MAT-12.AR.F.03 Write a function defined by an expression in different but equivalent forms to reveal and explain the different properties of the function. 
• MAT-12.AR.20 Apply the Binomial Theorem for the expansion of (ax + by)n in powers of x and y for a positive integer n and integers a and b

Kindergarten (MAT) Targeted Standard     (AR) Algebraic Reasoning  (OA) Operations and Algebraic Thinking Learners will analyze patterns and relationships to generate and interpret numerical expressions.

Proficiency Scale

Progressions

Solve Problems Using Operations

• MAT-00.AR.OA.04 Solve authentic word problems with addition by putting together or adding to within 10. 
• MAT-01.AR.OA.06 Use the +, -, and = symbols accurately in an equation. 
• MAT-01.AR.OA.04 Solve authentic word problems with addition, including three numbers and unknowns, within 20. 
• MAT-02.AR.OA.03 Solve one- and two-step authentic word problems with addition within 100, including the use of unknowns. 
• MAT-00.AR.OA.05 Solve authentic word problems with subtraction by taking apart or taking from within 10. 
• MAT-01.AR.OA.05 Solve authentic word problems with subtraction, including unknowns, within 20.
  
• MAT-02.AR.OA.04 Solve one- and two-step authentic word problems with subtraction within 100, including the use of unknowns. 
• MAT-02.AR.OA.05 Use repeated addition to find the total number of objects arranged in a rectangular array. 
• MAT-03.AR.OA.03 Solve two-step authentic word problems using addition and subtraction within 1000, including equations with a letter as an unknown. 
• MAT-03.AR.OA.04 Use strategies and visual models to solve authentic word problems with multiplication within 100, including unknowns, using grouping models and equations. 
• MAT-03.AR.OA.05 Use strategies and visual models to solve authentic word problems with division within 100, including unknowns, using grouping models and equations. 
• MAT-04.AR.OA.03 Solve multi-step authentic word problems using the four operations, including problems with interpreted remainders. Represent problems using equations, including a symbol as an unknown.

Kindergarten (MAT) Targeted Standard     (AR) Algebraic Reasoning  (OA) Operations and Algebraic Thinking Learners will analyze patterns and relationships to generate and interpret numerical expressions.

Proficiency Scale

Progressions

Solve Problems Using Operations

• MAT-00.AR.OA.04 Solve authentic word problems with addition by putting together or adding to within 10. 
• MAT-01.AR.OA.06 Use the +, -, and = symbols accurately in an equation. 
• MAT-01.AR.OA.04 Solve authentic word problems with addition, including three numbers and unknowns, within 20. 
• MAT-02.AR.OA.03 Solve one- and two-step authentic word problems with addition within 100, including the use of unknowns. 
• MAT-00.AR.OA.05 Solve authentic word problems with subtraction by taking apart or taking from within 10. 
• MAT-01.AR.OA.05 Solve authentic word problems with subtraction, including unknowns, within 20. 
• MAT-02.AR.OA.04 Solve one- and two-step authentic word problems with subtraction within 100, including the use of unknowns. 
• MAT-02.AR.OA.05 Use repeated addition to find the total number of objects arranged in a rectangular array. 
• MAT-03.AR.OA.03 Solve two-step authentic word problems using addition and subtraction within 1000, including equations with a letter as an unknown. 
• MAT-03.AR.OA.04 Use strategies and visual models to solve authentic word problems with multiplication within 100, including unknowns, using grouping models and equations.
  
• MAT-03.AR.OA.05 Use strategies and visual models to solve authentic word problems with division within 100, including unknowns, using grouping models and equations. 
• MAT-04.AR.OA.03 Solve multi-step authentic word problems using the four operations, including problems with interpreted remainders. Represent problems using equations, including a symbol as an unknown.

Kindergarten (MAT) Targeted Standard     (AR) Algebraic Reasoning  (OA) Operations and Algebraic Thinking Learners will analyze patterns and relationships to generate and interpret numerical expressions.

Proficiency Scale

Progressions

Patterns

• MAT-00.AR.OA.06 Recognize, duplicate, complete, and extend repeating patterns in a variety of contexts (e.g., shape, color, size, objects, sounds, and movement). 
• MAT-01.AR.OA.07 Identify, create, complete, and extend patterns that are repeating, increasing, and decreasing in a variety of contexts. 
• MAT-02.AR.OA.06 Identify a group of objects from 0 to 20 as even or odd by showing even numbers as a sum of two equal parts. 
• MAT-03.AR.OA.06 Identify arithmetic patterns and explain them using the properties of operations.
  
• MAT-04.AR.OA.06 Generate a number or shape pattern that follows a given rule while identifying apparent features of the pattern that were not explicit in the rule itself. 
• MAT-05.AR.OA.05 Generate two numerical patterns using two given rules and form ordered pairs consisting of corresponding terms from the two patterns. (Graphing on a coordinate plane). 
• MAT-09.AR.01 Use the structure of an expression (i.e., quadratic and exponential) to identify ways to rewrite it. 
• MAT-12.AR.02 Use the structure of an expression (to extend to polynomial and rational expressions) to identify ways to rewrite it.