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 6 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 work.

Student to Student Yes… Yes, but… No, but… No…
MPE2. Find a strategy. I choose good tools and an efficient strategy for solving the problem.
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.

Figure 2: Sample Feedback Box from Lesson 3

Key Assessment Opportunities Chart Print

L1SG Facts I Know: Multiplication and Division Self-Check: Q# 1–4
Key Ideas in Unit 6

L1 SG

L1 SG

L1 SG

L2 SG

L3 TG

L3 TG

L4 SG

L4 SAB

L4 DPP

L5 SG

L5 TG

L6 SG

L6 DPP

L6 DPP

L6 TG

L6 TG

L7 SAB

L7 SAB

L8 DPP

L8 TG

Unit 6 Expectations

Math Content

X

Content Expectations. The Expectations assessed in this unit focus on concepts of number and operations, specifically concepts related to place value and representations of large 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 1. Number Sense: Understand the base-ten number system, recognize relationships among quantities and numbers, and represent numbers in multiple ways.

E1. Represent large numbers (to the millions) using place value charts, number lines, and number sentences (e.g., 10,705 = 10,000 + 700 + 5). (Algebra 3)

The Content section of the Unit 6 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 and division facts strategies.

Number 1

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

E1

 Read and write large numbers (to the millions). [4.NBT.2] [MP2]

Midterm Test — See Figures 1 and 2 in Lesson 8.

E2

 Compare and order large numbers (to the millions). [4.NBT.2] [MP2]

E3

 Represent large numbers (to the millions) using place value charts, number lines, and number sentences (e.g., 10,705 = 10,000 + 700 + 5). (Algebra 3) [4.NBT.2] [MP2, 3]

E4

 Make connections between place value concepts and representations of numbers (to one million) with base-ten pieces, number lines, expanded form, and standard form. [4.NBT.1]

E5

 Use patterns to make predictions and generalizations. (Algebra 4) [4.OA.5] [MP1, 2, 3, 7]

E6

 Round quantities to benchmark numbers. [4.NBT.3]

E7

 Estimate quantities. [4.NBT.3] [MP1, 6]

Number 2

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

E8

 Solve division problems involving zero and justify solutions. [4.NBT.6] [MP2, 3]

Number 3

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

E9

 Estimate sums and differences for large numbers. [4.NBT.3] [MP1, 3, 6]

Math Facts

Number 3

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

E10

 Demonstrate fluency with the division facts for the 5s and 10s. [3.0A.7]

E11

 Determine the unknown number in a multiplication or division sentence relating three whole numbers for the 5s and 10s facts. [3.0A.4]

E12

 Demonstrate fluency with all the multiplication facts. [3.0A.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 6 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 showing their work [MPE5], and there will be opportunities to assess many of the other Math Practices Expectations.
MPE1 Know the problem. I read the problem carefully. I know the questions to answer and what information is important. [MP1, 6]
MPE2 Find a strategy. I choose good tools and an efficient strategy for solving the problem. [MP4, 5, 7, 8]
MPE3 Check for reasonableness. I look back at my solution to see if my answer makes sense. If it does not, I try again. [MP6]
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 that someone else can understand my thinking. [MP3, 4, 6]
MPE6 Use labels. I use labels to show what numbers mean. [MP1, 3]