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 12 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.

Zoo Kitchen Problem
Feedback Box 		Expectation Check
In 		Comments
Represent multiplication problems using tiles, drawings, number lines, rectangular arrays, and number sentences. [Q# 1–5] E2
Solve multiplication problems using strategies (e.g., skip counting, repeated addition) with tiles, drawings, number lines, rectangular arrays, and number
sentences. [Q# 1–5]		 E7
Divide a set of objects into equal-size
groups. [Q# 1–5]		 E8

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# 1–5]
MPE2. Find a strategy. I choose good tools and an efficient strategy for solving the problem. [Q# 1–5]
MPE5. Show my work. I show or tell how I arrived at my answer so someone else can understand my
thinking. [Q# 1–5]
MPE6. Use labels. I use labels to show what numbers mean. [Q# 1–5]

Figure 2: Sample Feedback Box from Lesson 5

Key Assessment Opportunities Chart Print

L1SAB Equal Groups
Key Ideas in Unit 12

L1 SAB

L1 DPP

L1 DPP

L2 SAB

L2 DPP

L3 SAB

L4 SAB

L4 DPP

L5 SAB

L5 DPP

L5 DPP

L6 SAB
Unit 12 Expectations

Math Content

X

Content Expectations. The Expectations assessed in this unit focus on concepts of number and operations, specifically concepts related to multiplication and division. 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. Determine whether a group of objects has an odd or even number of members (e.g., by pairing objects or counting them by 2s). (Algebra 4)

The Content section of the Unit 12 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 and number 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

 Determine whether a group of objects has an odd or even number of members (e.g., by pairing objects or counting them by 2s). (Algebra 4) [2.OA.3] [MP2, 3, 6]

Number 2

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

E2

 Represent multiplication and division problems using tiles, drawings, number lines, rectangular arrays, and number sentences. (Algebra 3) [2.OA.1, 4; 2.G.2] [MP1, 2, 4, 5, 6]

E3

 Make connections between repeated addition and multiplication. (Algebra 4) [2.OA.4] [MP7, 8]

E4

 Write stories for multiplication and division sentences. [2.OA.4] [MP4, 6]

E5

 Distinguish between addition and multiplication situations. [2.OA.4] [MP1, 2, 3, 4, 8]

E6

 Write a number sentence to express an even number as a sum of two equal addends. (Algebra 3) [2.OA.3] [MP2, 4, 5, 7, 8]

Number 3

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

E7

 Solve multiplication and division problems using strategies (e.g., skip counting, repeated addition) with tiles, drawings, number lines, rectangular arrays, and number sentences. (Algebra 4) [2.OA.1, 4, 2] [MP1, 2, 3, 5, 6, 7, 8]

E8

 Divide a set of objects into equal-size groups. [2.OA.4] [MP1, 2, 3, 5, 6, 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 D (6 − 3, 7 − 3, 7 − 4,
8 − 4, 9 − 4, 9 − 5, 12 − 6, 13 − 6, 13 − 7, 14 − 7,
15 − 7, 15 − 8, 16 − 8, 19 − 10, 19 − 9, 20 − 10). [2.OA.1, 2]

E10

 Determine the unknown number in an addition or subtraction sentence relating three whole numbers for the facts in Group D. (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 12 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.
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.
MPE6 Use labels. I use labels to show what numbers mean.