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Achievement Descriptors: Overview

Place Value Concepts for Addition and Subtraction

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 twelve ADs listed.

4.Mod1.AD1

Create two comparison statements, given a multiplication equation.

Write multiplicative comparison statements as multiplication equations.

Solve word problems involving multiplicative comparison by using multiplication or division within 100.

Assess reasonableness of estimates when using rounding as an estimation strategy.

4.Mod1.AD5

Solve multi-step word problems by using addition and subtraction, represent these problems by using equations, and assess the reasonableness of the answers.

4.Mod1.AD6

Explain the relationship between a digit in a multi-digit whole number and the same digit in the place to the right.

Read and write multi-digit whole numbers in unit, standard, word, and expanded form.

Compare two whole numbers by using >, =, or <.

Round multi-digit whole numbers.

Add and subtract multi-digit whole numbers by using the standard algorithm.

Express larger units in terms of a smaller unit within the metric system in a table.

Solve addition and subtraction word problems that require expressing measurements of larger units in terms of given smaller units.

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 4 module 1 is coded as 4.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.

Achievement Descriptors: Proficiency Indicators

AD Code: Grade.Module.AD#

AD Language

4.Mod1.AD1 Create two comparison statements, given a multiplication equation.

RELATED CCSSM

4.OA.A.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.

Partially Proficient Proficient Highly Proficient Create a comparison statement, given a multiplication equation.

Fill in the blanks to complete a statement that represents the equation 35 = 5 × 7 is times as much as

Create two comparison statements, given a multiplication equation.

Fill in the blanks to complete two statements that represent the equation 35 = 5 × 7 is times as much as is times as much as

Related Standard

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