MAT-04.NBT.05

 MAT-04 Targeted Standards(NBT) Domain: Number and Operations in Base TenCluster: 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:

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.

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

Vocabulary

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