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 4 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.

Problem Solving with Area
Check-In: Questions 16–17
Feedback Box		 Expectation Check
In		 Comments
Solve multistep problems using addition, multiplication, and division. [Q# 16–17] E7
Use multiplication and division strategies to find the area of rectangles or shapes based on rectangles. [Q# 16–17] 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# 16–17]
MPE2. Find a strategy. I choose good tools and an efficient strategy for solving the problem. [Q# 16]
MPE5. Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking. [Q# 16]
MPE6. Use labels. I use labels to show what numbers mean. [Q# 16–17]

Figure 2: Sample Feedback Box from Lesson 6

Key Assessment Opportunities Chart Print

L1SAB Use Addition and Subtraction Strategies Self-Check: Q# 1–4
Key Ideas in Unit 4

L1 SAB

L1 SAB

L1 SG

L1 DPP

L2 SG

L3 SG

L4 SG

L4 SAB

L5 SAB

L6 SG

L6 DPP

L7 TG

L8 SAB

L8 SG

L8 SAB

L8 SG
Unit 4 Expectations

Math Content

X

Content Expectations. The Expectations assessed in this unit focus on concepts of number, computation, and algebra, specifically related to fractions and ratios. 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. Demonstrate understanding of the place-value concepts and mathematical properties involved in operations with multidigit numbers (e.g., making trades in addition and subtraction, and using the distributive property to multiply). (Algebra 4)

The Content section of the Unit 4 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' 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

 Demonstrate understanding of the place value concepts and mathematical properties involved in operations with multidigit numbers (e.g., making trades in addition and subtraction, using the distributive property to multiply). (Algebra 4) [MP1, 2, 7]

Number 2

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

E2

 Show connections between models and strategies for multiplication (e.g., demonstrate partial products using a rectangle model for multiplication). (Algebra 4) [5.NBT.5] [MP2, 7]

Number 3

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

E3

 Add and subtract multidigit numbers using more than one strategy. [MP1, 2]

E4

 Multiply multidigit numbers using mental math and paper-and-pencil methods (expanded form, rectangle model, all-partials, compact). [5.NBT.5] [MP2, 4]

E5

 Estimate sums, differences, and products. [MP2, 6]

E6

 Choose appropriately from among mental math, estimation, and paper-and-pencil methods to find sums, differences, and products. [5.NBT.5] [MP1, 2, 6]

E7

 Solve multistep problems using addition, subtraction, multiplication, and division. (Algebra 4) [5.NBT.5, 6] [MP1, 2, 3, 4]

Measurement 2

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

E8

 Use multiplication and division strategies to find the area of rectangles or shapes based on rectangles. (Algebra 4) [5.MD.3, 4, 5] [MP1, 2, 3, 4]

E9

 Use multiplication and division strategies to find the volume of boxes. (Algebra 4) [5.MD.3, 4, 5] [MP1, 2, 3, 4]

Math Facts

Number 3

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

E10

 Demonstrate fluency with multiplication and division facts for the nines.

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 4 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], finding strategies [MPE2], checking their calculations [MPE4], showing their work [MPE5], and labeling their work [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. [MP1]
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 that someone else can understand my thinking.
MPE6 Use labels. I use labels to show what numbers mean.[MP6]