X

  • = Denotes Benchmark Expectation

  • = Includes a Feedback Box

Benchmark Expectations. Several of the Expectations are prioritized as Benchmark Expectations because they are particularly important concepts and skills to be learned in this unit. Benchmark Expectations identify the concepts and skills that are central to the unit, are prerequisites for learning content in an upcoming unit, are the last significant opportunity for assessment in the curriculum or grade, or are concepts commonly associated with difficulties or misconceptions. These Expectations are marked with a red circle in the Key Assessment Opportunities Chart.

Feedback Boxes. Feedback Boxes are provided with several activities to report progress toward these Expectations. Look for the box ( ) on the Unit 11 Key Assessment Opportunities Chart. See Figure 2. In this unit, students will also get better acquainted with the Math Practices Expectations by discussing them in the context of a specific problem, receiving feedback, reviewing a peer's work, and revising their own work.

Volume Math Check
Feedback Box		 Expectation Check
In		 Comments
Use words and symbols (e.g., <, >, =) to show comparisons of quantities (e.g., volumes). [Q# 5] E1
Solve addition and subtraction problems (e.g., part-whole, join, compare) involving volume. [Q# 1–7] E3
Read and interpret a variety of scales (e.g., graduated cylinder, thermometer). [Q# 1, 6] E4
Measure volume by displacement using a graduated cylinder. [Q# 1–4, 6] E5

  Yes … Yes, but … No, but … No …
MPE1. Know the problem. I read the problem carefully. I know the questions to answer and what information is important. [Q# 7]
MPE2. Find a strategy. I choose good tools and an efficient strategy for solving the problem. [Q# 7]
MPE5. Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking. [Q# 7]
MPE6. Use labels. I use labels to show what numbers mean. [Q# 7]
Figure 2: Sample Feedback Box from Lesson 5

Key Assessment Opportunities Chart Print

L1SAB Understanding Scales
Key Ideas in Unit 11

L1 SAB

L1 DPP

L2 SAB

L2 DPP

L3 SAB

L3 DPP

L4 SAB

L4 DPP

L4 DPP

L5 SAB

Unit 11 Expectations

Math Content

X

Content Expectations. The Expectations assessed in this unit focus on concepts of number operations, and measurement. Because all the Algebra Key Ideas arise from and are closely connected to ideas in the other content strands, Expectations related to algebra will also be listed under a second content strand. For example:

Number 1. Number Sense: Understand the base-ten number system, recognize relationships among quantities and numbers, and represent numbers in multiple ways.

E1. Use words and symbols (e.g., <, >, =) to show comparisons of quantities (e.g., volumes). (Algebra 3)

The Content section of the Unit 11 Key Assessment Opportunities Chart identifies some of the activities in the unit that are appropriate for assessing students' abilities with Expectations related to these algebra, number, data, and measurement concepts. The Math Facts section of the same chart identifies activities in the unit that are appropriate for assessing students' fluency with the addition facts and the related subtraction facts.

Number 1

Number Sense: Understand the base-ten number system, recognize relationships among quantities and numbers, and represent numbers in multiple ways.

E1

 Use words and symbols (e.g., <, >, =) to show comparisons of quantities (e.g., volumes). (Algebra 3) [2.NBT.4] [MP2, 4]

E2

 Use and apply place value concepts and comparative language to compare and order volumes (e.g., greater, least, greater than, less than). [2.NBT.4] [MP2, 4, 5]

Number 2

Operations: Understand the meaning of numerical operations and their application for solving problems.

E3

 Solve addition and subtraction word problems (e.g., part-whole, join, compare) involving volume. [2.OA.1] [MP1, 3, 4, 5]

Measurement 2

Measurement Skills: Use measurement tools, appropriate techniques, and formulas to determine measurements.

E4

 Read and interpret a variety of scales (e.g., graduated cylinder, thermometer) calibrated by twos, fives, and tens. [2.OA.3; 2.NBT.2] [MP2, 3, 5, 6, 7]

E5

 Measure volume by displacement using a graduated cylinder. [2.OA.1, 5; 2.NBT.5, 8] [MP1, 2, 3]

Data 2

Data Representation: Select and create appropriate representations, including tables and graphs, for organizing, displaying, and analyzing data.

E6

 Make a bar graph to find information about a data set. (Algebra 2) [2.MD.10] [MP2]

Data 3

Data Description: Describe a data set by interpreting graphs, identifying patterns, and using statistical measures, e.g., average and range.

E7

 Read a table and bar graph to find information about a data set. (Algebra 3) (Data 3) [2.MD.10] [MP2, 7, 8]

Data 4

Using Data: Apply relationships and patterns in data to solve problems, develop generalizations, and make predictions.

E8

 Use a table and bar graph to solve problems about a data set. (Data 4) (Algebra 4) [2.MD.10; 2.OA.1] [MP2, 7, 8]

Math Facts

Number 3

Computation and Estimation: Use efficient and flexible procedures to compute accurately and make reasonable estimates.

E9

 Demonstrate fluency with the subtraction facts related to the addition facts in Group C (9 − 2, 9 − 3, 9 − 6, 9 − 7, 10 − 1,
10 − 2, 10 − 3, 10 − 4, 10 − 5, 10 − 6, 10 − 7, 10 − 8, 10 − 9, 11 − 2, 11 − 3, 11 − 4, 11 − 5, 11 − 6, 11 − 7, 11 − 8, 11 − 9). [2.OA.1, 2]

E10

 Determine the unknown number in an addition or subtraction sentence relating three whole numbers for the facts in Group C. (Algebra 4) [2.OA.1, 2] [MP2]

Math Practices

X

Math Practices Expectations. Students use the Math Practices Expectations on the Math Practices page in the Student Activity Book Reference section to help them focus on practices related to both problem solving and communication. Students become more comfortable with these Expectations by reviewing them before, during, and after solving a problem and by deciding how well they are met in their work and the work of others.


The Math Practices section of the Unit 11 Key Assessment Opportunities Chart identifies activities in the unit that are appropriate for assessing students' use and development of the math practices related to problem-solving habits and communication skills. In this unit, students will focus on knowing the problem [MPE1], choosing an appropriate strategy [MPE2], showing their work [MPE5], and using labels [MPE6].
MPE1 Know the problem. I read the problem carefully. I know the questions to answer and what information is important. [MP1]
MPE2 Find a strategy. I choose good tools and an efficient strategy for solving the problem.
MPE3 Check for reasonableness. I look back at my solution to see if my answer makes sense. If it does not, I try again.
MPE4 Check my calculations. If I make mistakes, I correct them.
MPE5 Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking. [MP3, 7]
MPE6 Use labels. I use labels to show what numbers mean. [MP6]