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.

Paper-and-Pencil Division Quiz
Feedback Box		 Expectation Check
In		 Comments
Divide multidigit numbers by 1-digit divisors using paper and pencil. [Q# 1–6]
  • Check work using multiplication.
  • Check for reasonableness using mental math or estimation. [Q# 4]
 E7
Interpret remainders from division of multidigit numbers. [Q# 2] E4
Show connections between multiplication and division (e.g., fact families, using multiplication to divide). [Q# 5] E3
Show connections between models and strategies for multidigit division. [Q# 6] E2

Figure 2: Sample Feedback Box from Lesson 6

Key Assessment Opportunities Chart Print

L1SG Inventing Ways to Divide Check-In: Q# 4
Key Ideas in Unit 12

L1 SG

L1 DPP

L2 SG

L2 SG

L3 SG

L4 SG

L5 SAB

L5 SAB

L6 SG

L6 TG

L6 TG

L6 DPP
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 division of multidigit numbers by 1-digit numbers. 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 2. Operations: Understand the meaning of numerical operations and their application for solving problems.

E3. Show connections between multiplication and division (e.g., fact families, using multiplication to divide).

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' multiplication facts strategies.

Number 2

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

E1

 Demonstrate understanding of division of multidigit numbers by 1-digit numbers using models. [4.NBT.6] [MP1, 2, 4, 5]

E2

 Show connections between models and strategies for multidigit division. [4.NBT.6] [MP1, 2, 4, 5]

E3

 Show connections between multiplication and division (e.g., fact families, using multiplication to divide.) (Algebra 4) [4.NTB.6] [MP1, 2]

E4

 Interpret remainders from division of multidigit numbers. [4.OA.3] [MP1, 2, 3, 4, 6]

Number 3

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

E5

 Estimate quotients for division of multidigit numbers by 1-digit numbers. [4.NBT.3] [MP1, 2, 6]

E6

 Divide numbers that are multiples of ten. [4.NBT.1] [MP1, 2]

E7

 Divide multidigit numbers by 1-digit divisors using paper and pencil. [4.NBT.6] [MP1, 2, 6]

Math Facts

Number 3

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

E8

 Demonstrate fluency with the division facts in all groups. [3.OA.7]

Math Practices

X

Math Practices Expectations. Students use the Math Practices Expectations on the Math Practices page in the Student Guide 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 checking for reasonableness [MPE3] and checking their calculations [MPE4].
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. [MP1, 5, 6]
MPE3 Check for reasonableness. I look back at my solution to see if my answer makes sense. If it does not, I try again. [MP1, 2, 6]
MPE4 Check my calculations. If I make mistakes, I correct them. [MP1, 2, 6]
MPE5 Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking. [MP3, 6]
MPE6 Use labels. I use labels to show what numbers mean.