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(NBT) Number and Operations in Base Ten

MAT-05.NBT

BPSS-MAT logoDomain (NBT)

Number and Operation in Base Ten

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

In Grade 5, students extend their understanding of the base-ten system to the relationship between adjacent places, how numbers compare, and how numbers round for decimals to thousandths. New at Grade 5 is the use of whole number exponents to denote powers of 10. Students understand why multiplying by a power of 10 shifts the digits of a whole number or decimal that many places to the left. For example, multiplying by 104 is multiplying by 10 four times.

Students students fluently compute products of whole numbers using the standard algorithm for multiplication. In division, they reason about dividing whole numbers with two-digit divisors, and reason about adding, subtracting, multiplying, and dividing decimals to hundredths. Division strategies in Grade 5 involve breaking the dividend apart into like base-ten units and applying the distributive property to find the quotient place by place, starting from the highest place.

Place value understandings and general methods for computing are used to add, subtract, multiply, and divide decimals to hundredths. Students use concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction to solve decimal problems. They also relate the strategy to a written method and explain the reasoning used.

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-05.NBT.01

Under Development

MAT-05 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Understand the place value system.

MAT-05.NBT.01 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

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-05.NBT.02

Under Development

MAT-05 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Understand the place value system.

MAT-05.NBT.02 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

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-05.NBT.03

BPSS-MAT logo 5th Grade (MAT) Targeted Standard
(NBT) Number and Operations in Base Ten
Cluster: Understand the place value system.

MAT-05.NBT.03 Read, write, and compare decimals to thousandths. 
a. Read and write decimals to thousandths using base-ten numerals, word form, and expanded form.
b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

proficiency scale iconProficiency Scale

MAT-05.NBT.03.a

Under Development

MAT-05 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Understand the place value system.

MAT-05.NBT.03.a Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000).

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-05.NBT.03.b

Under Development

MAT-05 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Understand the place value system.

MAT-05.NBT.03.b Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, 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-05.NBT.04

Under Development

MAT-05 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Understand the place value system.

MAT-05.NBT.04 Use place value understanding to round decimals 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-05.NBT.05

BPSS-MAT logo 5th Grade (MAT) Targeted Standard
(NBT) Number and Operations in Base Ten
Cluster: Perform operations with multi­digit whole numbers and with decimals to hundredths.

MAT-05.NBT.05 Fluently multiply multi-digit whole numbers using strategies flexibly, including the standard algorithm. 

proficiency scale iconProficiency Scale

MAT-05.NBT.06

BPSS-MAT logo 5th Grade (MAT) Targeted Standard
(NBT) Number and Operations in Base Ten
Cluster: Perform operations with multi­digit whole numbers and with decimals to hundredths.

MAT-05.NBT.06 Using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division, find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 

proficiency scale iconProficiency Scale

MAT-05.NBT.07

BPSS-MAT logo 5th Grade (MAT) Targeted Standard
(NBT) Number and Operations in Base Ten
Cluster: Perform operations with multi­digit whole numbers and with decimals to hundredths.

MAT-05.NBT.07 Using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction, add, subtract, multiply, and divide decimals to hundredths. Relate the strategy to a written method and explain the reasoning used. 

proficiency scale iconProficiency Scale