Second Grade Math


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M

MAT-02.NBT.03

 

MAT-02 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Understand place value.

MAT-02.NBT.03 Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.

Student Learning Targets:

Knowledge Targets

Reasoning Targets

Skills (Performance) Targets

  • I can read numbers to 1000.
  • I can write numbers to 1000 in standard form (47).
  • I can write numbers in word form (forty-seven).
  • I can write numbers in expanded form (40+7).

Product Targets

 

Rubric / Proficiency Scale

Score   Description Sample Activity
4.0

Advanced Criteria is Under Development.

In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content

-
  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

Student is able to read and write numbers to 1000 using base ten numerals, number names, and expanded form with minor error.

I can read numbers to 1000.

I can write numbers to 1000 in standard form.

I can write numbers to 1000 in expanded form.

I can write numbers to 1000 in word form.

Given three different numbers for each concept, student has no more than 1 error overall.
  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 read three numbers and write three numbers to 1000 in standard form with no more than one error.

I can read numbers to 1000.

I can write numbers to 1000 in standard form.

Given three different numbers for each concept, student has no more than one error in each skill.
  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 demonstrate beginning understanding of reading and writing numbers to 1000, but exhibits errors.

I can read numbers to 100.

I can write numbers to 100.

Given three different numbers for each concept, student is able to complete  some of the activities for numbers to 100.
  0.5 Limited or no understanding of the skill is demonstrated.

Resources

Websites

Vocabulary

  • base ten numeral / number
  • standard form
  • word form
  • expanded form
  • number names (1-1000)
  • number words (one - one thousand)

 


MAT-02.NBT.04

Under Development

MAT-02 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Understand place value.

MAT-02.NBT.04 Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.

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-02.NBT.05

MAT-02 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Use place value understanding and properties of operations to add and subtract.

MAT-02.NBT.05 Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction

Student Learning Targets:

Knowledge Targets

Reasoning Targets

  • I can choose efficient strategies based on the numbers in a problem.

Skills (Performance) Targets

  • I can add and subtract numbers up to100 using efficient strategies.
  • I can add and subtract numbers using strategies such as breaking numbers into place value parts.
  • I can add and subtract numbers using strategies such as counting on by 10s and 100s and using landmark numbers.
  • I can use base ten drawings to show how numbers are composed and decomposed.

Product Targets

 

Rubric / Proficiency Scale

Score   Description Sample Activity
4.0

Student is able to accurately and fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

I can accurately add and subtract numbers within 1000 using efficient strategies.

I can choose efficient strategies based on the numbers in a problem.

 
  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

Student is able to fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.  Student uses efficient strategies that lead to correct answers.

I can accurately add and subtract numbers up to 100 using efficient strategies.

I can choose efficient strategies based on the numbers in a problem.

Student completes four problems accurately and efficiently.
  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 solve problems using strategies such a counting on, base ten drawings, landmark numbers, decomposing into place value parts, etc., but may have errors. 

I can add and subtract numbers using strategies such as breaking numbers into place value parts.

I can add and subtract numbers using strategies such as counting on by 10s and 100s and using landmark numbers.

I can use base ten drawings to show how numbers are composed and decomposed.

Student completes four problems with no more than 2 errors.
  1.5 In addition to 1.0 content, student has partial knowledge of the 2.0 and/or 3.0 content.
1.0

Student solves problems by "counting all" by ones using concrete models/counters, tallies, pictures, etc. to add within 100 and subtract multiples of 10 from numbers 10-90.  Student attempts may or may not result in correct answers.

I can solve problems using counting tools.

 
  0.5 Limited or no understanding of the skill is demonstrated.

Resources

Websites

Vocabulary

  • fluent
  • compose
  • decompose
  • place value
  • digit
  • add
  • subtract
  • sum
  • equal
  • difference
  • landmark numbers
  • place value parts
  • addition
  • subtraction
  • base ten
  • ten more/less
  • 100 more/less
  • number line
  • base ten blocks
  • 100 chart

 


MAT-02.NBT.06

Under Development

MAT-02 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Use place value understanding and properties of operations to add and subtract.

MAT-02.NBT.06 Add up to four two-digit numbers using strategies based on place value and properties of operations.

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-02.NBT.07

Under Development

MAT-02 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Use place value understanding and properties of operations to add and subtract.

MAT-02.NBT.07 Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.

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-02.NBT.08

MAT-02 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Use place value understanding and properties of operations to add and subtract.

MAT-02.NBT.08 Mentally add 10 or 100 to a given number 100-900, and mentally subtract 10 or 100 from a given number 100-900.

Student Learning Targets:

Knowledge Targets

Reasoning Targets

Skills (Performance) Targets

  • I can mentally add 10 and 100 to any number 100-900.
  • I can mentally subtract 10 or 100 from any number 100-900.

Product Targets

 

Rubric / Proficiency Scale

Score   Description Sample Activity
4.0

Advanced Criteria is Under Development.

In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content

-
  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

Student is able to mentally add and subtract 10 and 100 from any number 100-900 without error.

I can answer what is 10 more and 10 less than any number 100-900 with no mistakes.

I can answer what is 100 more and 100 less than any number 100-900 with no mistakes.

-
  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 mentally add and subtract 10 and 100 from any number 100-900 that is a multiple of 5 without error.

I can answer what is 10 more and 10 less than a number that ends with five.

I can answer what is 100 more and 100 less than a number that ends with five.

-
  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 mentally add and subtract 10 and 100 from any number 100-900 that is a multiple of 10, but may exhibit a minor error.

I can answer what is 10 more and 10 less than a number that ends with  zero.

I can answer what is 100 more and 100 less than a number that ends with zero.

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

Resources

Websites

Vocabulary

  • add
  • subtract
  • ten more
  • ten less
  • one hundred more
  • one hundred less
  • mental math

 


MAT-02.NBT.09

Under Development

MAT-02 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Use place value understanding and properties of operations to add and subtract.

MAT-02.NBT.09 Explain why addition and subtraction strategies work, using place value and the properties of operations.

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-02.OA

BPSS-MAT logoDomain (OA)

Operations and Algebraic Thinking

 Narrative for the (OA) Operations and Algebraic Thinking

Algebraic thinking is about generalizing arithmetic operations and operating on unknown quantities.  It involves recognizing and analysing patterns and developing generalizations about these patterns.  In algebra, symbols can be used to represent generalizations. Operations and Algebraic Thinking deals with the basic operations - addition, subtraction, multiplication, and division - the relationships they model, the kinds of problems they can be used to solve, as well as, their mathematical properties and relationships.

Grade 2 students build upon their work in Grade 1 with operations and algebraic thinking in two major ways. They represent and solve situational problems which involve addition and subtraction within 100 rather than within 20, and they represent and solve two-step situational problems in which the result is unknown, the change is unknown, and the start is unknown. (20 + 15 = ___; 20 + ___ = 46; ___ + 14=26)

The experiences students have with addition and subtraction in Kindergarten and Grade 1 culminate in Grade 2 with students becoming fluent in single-digit addition facts and the related subtraction facts using the mental strategies as needed.  Fluency in each grade involves a mixture of just knowing some answers, knowing some answers from patterns (e.g., “adding 0 yields the same number”), and knowing some answers from the use of strategies. As an outcome of a multi-year process that heavily involves the interplay of practice and reasoning, students have sufficient experience with addition and subtraction to know single-digit sums from memory by the end of the K–2 grade span.

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-02.OA.01

 

MAT-02 Targeted Standards
(OA) Domain: Operations and Algebraic Thinking
Cluster: Represent and solve problems involving addition and subtraction.

MAT-02.OA.01 Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

Student Learning Targets:

Knowledge Targets

Reasoning Targets

  • I can decide if I need to add or subtract to solve a word problem.

Skills (Performance) Targets

  • I can use addition and subtraction to solve one-step word problems
  • I can use addition and subtraction to solve two-step word problems.
  • I can represent what is happening in a problem using drawings, models, and numbers.
  • I can write an equation with a symbol for the unknown to represent a word problem.

Product Targets

 

Rubric / Proficiency Scale

Score   Description Sample Activity
4.0

Student is able to solve two-step word problems using the four operations; represent these problems using equations with a letter for the unknown quantity; and assess the reasonableness of answers using mental computation and estimation strategies including rounding.

I can use addition, subtraction, multiplication, and division to solve two-step word problems.

I can write an equation to represent the problem using a letter for the unknown quantity.

I can use mental math and estimation strategies to decide if my answer is reasonable.

-
  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

Student is able to use addition and subtraction within 100 to solve one and two-step problems with unknowns in all positions by using drawings and equations with a symbol for the unknown number to represent the problem (eg. 23 + 45 = ___ ; 23+ __ = 68; ___ +  45 = 68).

I can use addition and subtraction to solve one-step and two-step problems.

I can write an equation with a symbol for the unknown in all positions.

I can represent what is happening in a problem using drawings, models, or numbers.

-
  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 correctly solve one-step problems and represent the problems with an equation using a symbol for the unknown.

I can use addition and subtraction to solve one-step problems using numbers under 100 with no mistakes.

I can show what is happening in a problem using drawings, models, or numbers.

I can write an equation with a symbol for the unknown with no mistakes.

-
  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 solve one-step word problems within 100, but may have minor counting errors within the solution.

and

Student attempts to represent the problems with an equations using a symbol for the unknown, but may have errors.

I can use addition and subtraction to solve one-step problems using numbers under 100, but I may have a mistake.

I can show what is happening in a problem using drawings, models, or numbers.

I can sometimes write an equation with a symbol for the unknown.

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

Resources

Websites

Vocabulary

  • add
  • subtract
  • more
  • less
  • equal
  • equation
  • unknown
  • putting together
  • taking apart
  • taking from
  • addend
  • sum
  • difference

 


MAT-02.OA.02

 Under Development

MAT-02 Targeted Standards
(OA) Domain: Operations and Algebraic Thinking
Cluster: Add and subtract within 20.

MAT-02.OA.02 Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.

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

 



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