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(OA) Operations and Algebraic Thinking

MAT-00.OA

BPSS-MAT logoDomain (OA)

Operations and Algebraic Thinking

Narrative for the (OA) Operations and Algebraic Thinking

Counting and Cardinality and Operations and Algebraic Thinking are about understanding and using numbers. Counting and Cardinality underlies Operations and Algebraic Thinking as well as Number and Operations in Base Ten. It begins with early counting and telling how many in one group of objects. Addition, subtraction, multiplication, and division grow from these early roots.

In Kindergarten, students develop meanings for addition and subtraction as they encounter problem situations, and they extend these meanings as they encounter increasingly difficult problem situations in Grade 1. They represent these problems in increasingly sophisticated ways. And they learn and use increasingly sophisticated computation methods to find answers. Students learn and use mathematical and non-mathematical language, especially when they make up problems and explain their representation and solution.

Students in Kindergarten work with the following types of addition and subtraction situations: Add To with Result Unknown; Take From with Result Unknown; and Put Together/Take Apart with Total Unknown and Both Addends Unknown.

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.

MAT-00.OA.01

Under Development

MAT-00 Targeted Standards
(OA) Domain: Operations and Algebraic Thinking
Cluster: Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

MAT-00.OA.01 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.

Student Learning Targets:

Knowledge Targets

  • I can

Reasoning Targets

  • I can

Skills (Performance) Targets

  • I can

Product Targets

  • I can

Proficiency (Rubric) Scale

Score   Description Sample Activity
4.0 Student is able to
 -
  3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success.
3.0 “The Standard.” Student is able to
-
  2.5 No major errors or emissions regarding 2.0 content and partial knowledge of the 3.0 content.
2.0 Student is able to -
  1.5 In addition to 1.0 content, student has partial knowledge of the 2.0 and/or 3.0 content.
1.0 Student is able to
-
  0.5 Limited or no understanding of the skill id demonstrated.

Resources

Websites

  • Add resources with links, youtube or PDF

Vocabulary

  • List

 

MAT-00.OA.02

BPSS-MAT logo Kindergarten (MAT) Targeted Standard
(OA) Operations and Algebraic Thinking
Cluster: Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

MAT-00.OA.02 Use an appropriate strategy to solve word problems that involve adding and subtracting within 10. 

proficiency scale iconProficiency Scale

MAT-00.OA.03

Under Development

MAT-00 Targeted Standards
(OA) Domain: Operations and Algebraic Thinking
Cluster: Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

MAT-00.OA.03 Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).

Student Learning Targets:

Knowledge Targets

  • I can

Reasoning Targets

  • I can

Skills (Performance) Targets

  • I can

Product Targets

  • I can

Proficiency (Rubric) Scale

Score   Description Sample Activity
4.0 Student is able to
 -
  3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success.
3.0 “The Standard.” Student is able to
-
  2.5 No major errors or emissions regarding 2.0 content and partial knowledge of the 3.0 content.
2.0 Student is able to -
  1.5 In addition to 1.0 content, student has partial knowledge of the 2.0 and/or 3.0 content.
1.0 Student is able to
-
  0.5 Limited or no understanding of the skill id demonstrated.

Resources

Websites

  • Add resources with links, youtube or PDF

Vocabulary

  • List

 

MAT-00.OA.04

Under Development

MAT-00 Targeted Standards
(OA) Domain: Operations and Algebraic Thinking
Cluster: Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

MAT-00.OA.04 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.

Student Learning Targets:

Knowledge Targets

  • I can

Reasoning Targets

  • I can

Skills (Performance) Targets

  • I can

Product Targets

  • I can

Proficiency (Rubric) Scale

Score   Description Sample Activity
4.0 Student is able to
 -
  3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success.
3.0 “The Standard.” Student is able to
-
  2.5 No major errors or emissions regarding 2.0 content and partial knowledge of the 3.0 content.
2.0 Student is able to -
  1.5 In addition to 1.0 content, student has partial knowledge of the 2.0 and/or 3.0 content.
1.0 Student is able to
-
  0.5 Limited or no understanding of the skill id demonstrated.

Resources

Websites

  • Add resources with links, youtube or PDF

Vocabulary

  • List

 

MAT-00.OA.05

BPSS-MAT logo Kindergarten (MAT) Targeted Standard
(OA) Operations and Algebraic Thinking
Cluster: Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

MAT-00.OA.05 Fluently add and subtract within 5. 

proficiency scale iconProficiency Scale

MAT-00.OA.05.a

 

MAT-00 Targeted Standards
(OA) Domain: Operations and Algebraic Thinking
Cluster: Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

MAT-00.OA.05.a Fluently add basic facts within 5

Student Learning Targets:

Knowledge Targets

  • I can say the answer for addition facts to 5 quickly (within 5 seconds).

Reasoning Targets

Skills (Performance) Targets

Product Targets

 

Rubric / Proficiency Scale

Score   Description Sample Activity
4.0

Student is able to add facts to 10 with at least 90% accuracy given 5 seconds per fact. (1st grade)

I can say almost all the answers for addition facts to 10 quickly.

  
  3.5

Student answers facts to 10 with 80% accuracy given 5 seconds per fact. (1st grade)

I can say most the answers for addition facts to 10 quickly.
3.0

Student is able to add facts to 5 with at least 85% accuracy given 5 seconds per fact.

I can say almost all the answers for addition facts to 5 quickly.

 -
  2.5

Student is able to add facts to 5 with at least 70% accuracy given 5 seconds per fact.

I can say many of the answers for addition facts to 5 quickly.
2.0

Student is able to add facts to 5 with at least 50% accuracy given 5 seconds per fact.

I can say some of the answers for addition facts to 5 quickly.

 -
  1.5 Student is able to add facts to 5 with at least 40% accuracy given 5 seconds per fact.
1.0

Student is able to add facts to 5 with at least 10% accuracy given 5 seconds per fact.

I can say at least one of the answers for addition facts to 5 quickly.

 -
  0.5 Limited or no understanding of the skill is demonstrated.

Resources

Websites

Vocabulary

  • add
  • addition facts
  • sum

 

MAT-00.OA.05.b

MAT-00 Targeted Standards
(OA) Domain: Operations and Algebraic Thinking
Cluster: Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

MAT-00.OA.05.b Fluently subtract basic facts within 5

Student Learning Targets:

Knowledge Targets

  • I can say the answers to subtraction facts within 5 quickly (within 5 seconds).

Reasoning Targets

Skills (Performance) Target

Product Targets

 

Rubric / Proficiency Scale

Score   Description Sample Activity
4.0

Student is able to demonstrate understanding of subtraction facts to 10 with at least 90% accuracy given 5 seconds per fact. (1st grade)

I can say the answer for almost all subtraction facts to 10 quickly.

 -
  3.5

Student answer subtraction facts to 10 with 80% accuracy given 5 seconds per fact. (1st grade)

I can say the answer for most subtraction facts to 10 quickly.
3.0

Student is able to answer subtraction facts within 5 with at least 85% accuracy given 5 seconds per fact.

I can answer almost all subtraction facts to 5 quickly.

 -
  2.5

Student is able to answer subtraction facts within 5 with at least 70% accuracy given 5 seconds per fact.

I can answer many subtraction facts to 5 quickly.
2.0

Student is able to answer subtraction facts within 5 with at least 50% accuracy given 5 seconds per fact.

I can answer some subtraction facts to 5 quickly.

 -
  1.5 Student is able to answer subtraction facts within 5 with at least 40% accuracy given 5 seconds per fact.
1.0

Student is able to answer subtraction facts within 5 with at least 10% accuracy given 5 seconds per fact.

I can answer at least one subtraction fact to 5 quickly.

 -
  0.5 Limited or no understanding of the skill is demonstrated.

Resources

Websites

Vocabulary

  • subtract
  • subtraction facts
  • difference
  • minus