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(NBT) Number and Operations in Base Ten

MAT-04.NBT

BPSS-MAT logoDomain (NBT)

Number and Operation in Base Ten

Narrative for the (NBT) Number and Operation in Base Ten

At Grade 4, students extend their work in the base-ten system. They use standard algorithms to fluently add and subtract. They use methods based on place value and properties of operations supported by suitable representations to multiply and divide with multi-digit numbers. Visual representations such as area and array diagrams that students draw and connect to equations and other written numerical work are useful for this purpose. By reasoning repeatedly about the connection between math drawings and written numerical work, students can come to see multiplication and division algorithms as abbreviations or summaries of their reasoning about quantities.

Building on earlier work, students generalize place value understanding for multi-digit whole numbers to read, write, and compare whole numerals between 1,000 and 1,000,000. They also extend understanding of place value to include decimals to hundredths and fractional quantities 1/10 and 1/100.

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-04.NBT.01

Under Development

MAT-04 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Generalize place value understanding for multi­digit whole numbers. Limited to whole numbers less than or equal to 1,000,000.

MAT-04.NBT.01 Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.

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

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MAT-04.NBT.02

BPSS-MAT logo 4th Grade (MAT) Targeted Standard
(NBT) Number and Operations in Base Ten
Cluster: Generalize place value understanding for multi­digit whole numbers. Limited to whole numbers less than or equal to 1,000,000.

MAT-04.NBT.02 Read and write multi-digit whole numbers to the one millions place using base-ten numerals, word form, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. 

proficiency scale iconProficiency Scale

MAT-04.NBT.03

Under Development

MAT-04 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Generalize place value understanding for multi­digit whole numbers.

MAT-04.NBT.03 Use place value understanding to round multi-digit whole numbers to any place.

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-04.NBT.04

BPSS-MAT logo 4th Grade (MAT) Targeted Standard
(NBT) Number and Operations in Base Ten
Cluster: Use place value understanding and properties of operations to perform multi-­digit arithmetic.

MAT-04.NBT.04 Fluently add and subtract multi-digit whole numbers to the one millions place using strategies flexibly, including the standard algorithm. 

proficiency scale iconProficiency Scale

MAT-04.NBT.05

BPSS-MAT logo 4th Grade (MAT) Targeted Standard
(NBT) Number and Operations in Base Ten
Cluster: Use place value understanding and properties of operations to perform multi­-digit arithmetic.

MAT-04.NBT.05 Using strategies based on place value and the properties of operations, multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers.
Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 

proficiency scale iconProficiency Scale

MAT-04.NBT.06

BPSS-MAT logo 4th Grade (MAT) Targeted Standard
(NBT) Number and Operations in Base Ten
Cluster: Use place value understanding and properties of operations to perform multi­-digit arithmetic.

MAT-04.NBT.06 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 

proficiency scale iconProficiency Scale