MAT-04.NBT.05

MAT-04 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Use place value understanding and properties of operations to perform multi­digit arithmetic.

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

Student Learning Targets:

Knowledge Targets

Reasoning Targets

  • I can understand the distributive property.
  • I can understand the connection between place value (base ten) and the distributive property.

Skills (Performance) Targets

  • I can multiply a number that has four digits by a one-digit number.
  • I can multiply a two-digit number by a two-digit number.
  • I can show and explain my work using equations, rectangular arrays, and area models.
  • I can multiply one-digit numbers by multiples of 10.
  • I can multiply two-digit numbers by one-digit numbers.

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 multiply a whole number of up to four digits by a one-digit number and two two-digit numbers using strategies based on place value and the properties of operations.

and

Student is able to illustrate and explain the calculation using equations, rectangular arrays, and/or area.

I can multiply four-digit numbers by one-digit numbers.

I can multiply two-digit numbers by two-digit numbers.

I can show and explain my work using equations, rectangular arrays, and area models.

Student uses understandings about base ten, distributive property, arrays, etc. to multiply numbers.

For 27 x 18, a student might use an partial products to represent the base ten parts

20 x 10 = 200

20 x 8   = 160

7 x 10   =  70

7 x 8     =  56

               486

  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 multiply a two-digit whole number by a one-digit whole number.

and

Student is able to illustrate and explain the calculation using equations, rectangular arrays, and/or area.

I can multiply two-digit numbers by one-digit numbers.

I can show and explain my work using equations, rectangular arrays, and area models.

Student uses understandings about base ten, distributive property, arrays, etc. to multiply numbers.

For 37 x 5, a student might think:

(30 x 5) + (7 x 5)=

   150   +     35   =185

  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 multiply one-digit whole numbers by multiples of 10 in the range of 10-90 (e.g. 9 x 80) using strategies based on place value and the properties of operations.

I can multiply multiples of 10 (10,20,30...90) by one-digit numbers using place value strategies.

Student uses understandings about multiplication and base ten to multiply numbers.

For 40x3, a student might think:

I know 4x3=12, so 40x3 is 120 because it is 10x more

  0.5 Limited or no understanding of the skill is demonstrated.

Resources

Websites

Vocabulary

  • equation
  • strategies
  • properties - rules about how numbers work
  • rectangular arrays
  • area model
  • multiply
  • factor
  • product
  • place value
  • base ten
  • decompose

 

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