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Achievement Descriptors: Overview
Place Value Concepts for Multiplication and Division with Whole Numbers
Achievement Descriptors (ADs) are standards-aligned descriptions that detail what students should know and be able to do based on the instruction. ADs are written by using portions of various standards to form a clear, concise description of the work covered in each module.
Each module has its own set of ADs, and the number of ADs varies by module. Taken together, the sets of module-level ADs describe what students should accomplish by the end of the year.
ADs and their proficiency indicators support teachers with interpreting student work on
• informal classroom observations,
• data from other lesson-embedded formative assessments,
• Exit Tickets,
• Topic Quizzes, and
• Module Assessments.
This module contains the 12 ADs listed.
5.Mod1.AD1
Write whole-number numerical expressions with parentheses.
5.Mod1.AD2
Evaluate whole-number numerical expressions with parentheses.
5.OA.A.1
5.Mod1.AD5
Solve real-world and mathematical problems that involve addition, subtraction, multiplication, and division of multi-digit whole numbers.
5.NBT
5.Mod1.AD9
Multiply two multi-digit whole numbers by using the standard algorithm.
5.Mod1.AD6
5.OA.A.1
Explain the relationship between digits in multi-digit whole numbers.
5.Mod1.AD3
Translate between whole-number numerical expressions and mathematical or contextual verbal descriptions.
5.OA.A.2
5.Mod1.AD7
Explain the effect of multiplying and dividing whole numbers by powers of 10.
5.Mod1.AD4
Compare the effect of each number and operation on the value of a whole-number numerical expression.
5.OA.A.2
5.Mod1.AD8
Express whole-number powers of 10 in exponential form, standard form, and as repeated multiplication.
5.NBT.B.5
5.Mod1.AD10
Solve problems that involve division of whole-number dividends with up to four digits and whole-number divisors with up to two digits.
5.Mod1.AD11
Represent division of whole-number dividends with up to four digits and whole-number divisors with up to two digits by using models.
5.NBT.B.6
5.Mod1.AD12
Convert among whole-number amounts within the metric measurement system to solve problems.
5.MD.A.1
The first page of each lesson identifies the ADs aligned with that lesson. Each AD may have up to three indicators, each aligned to a proficiency category (i.e., Partially Proficient, Proficient, Highly Proficient). While every AD has an indicator to describe Proficient performance, only select ADs have an indicator for Partially Proficient and/or Highly Proficient performance.
An example of one of these ADs, along with its proficiency indicators, is shown here for reference. The complete set of this module’s ADs with proficiency indicators can be found in the Achievement Descriptors: Proficiency Indicators resource.
ADs have the following parts:
• AD Code: The code indicates the grade level and the module number and then lists the ADs in no particular order. For example, the first AD for grade 5 module 1 is coded as 5.Mod1.AD1.
• AD Language: The language is crafted from standards and concisely describes what will be assessed.
• AD Indicators: The indicators describe the precise expectations of the AD for the given proficiency category.
• Related Standard: This identifies the standard or parts of standards from the Common Core State Standards that the AD addresses.
5.Mod1.AD11 Represent division of whole-number dividends with up to four digits and whole-number divisors with up to two digits by using models.
RELATED CCSSM
5.NBT.B.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-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.
Partially Proficient Proficient
Determine the quotient for division of whole-number dividends with up to four digits and whole-number divisors with up to two digits by using a provided model.
Use the model shown to help you divide.
Create models for division of whole-number dividends with up to four digits and whole-number divisors with up to two digits.
Use the expression to answer part A and part B.
4,102 ÷ 14
The quotient is
Part A
Draw a model for the expression.
Part B
Use your model to determine the quotient and remainder.
Highly Proficient
Interpret models for division of whole-number dividends with up to four digits and whole-number divisors with up to two digits.
What values could be represented by the letters in the model? Explain your thinking.
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