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 Feedback Boxes are provided with several activities to report progress toward these Expectations. Look for the box ( ) on the Unit 7 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.

How Many Drops
Feedback Box		 Expectation Check
In		 Comments
Use ratios to solve problems. E8
Make predictions and generalizations using data tables, graphs, and averages. E14
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.
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 8

Key Assessment Opportunities Chart Print

L1SG Esimate Quotients Check-In: Q# 6–7
Key Ideas in Unit 7

L1 SG

L1 SG

L1 DPP

L2 SG

L2 SG

L2 DPP

L3 SG

L3 TG

L3 DPP

L4 SG

L4 SG

L5 SAB

L6 SG

L7 SG

L7 DPP

L8 SG

L8 TG

L8 DPP

L9 SG
Unit 7 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 2. Operations: Understand the meaning of numerical operations and their application for solving problems.

E2. Show connections between models and strategies for multidigit division. (Algebra 4)

The Content section of the Unit 7 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 2

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

E1

 Demonstrate understanding of division of multidigit numbers by one- and two-digit numbers using models. [5.NBT.6] [MP1, 2, 3, 4]

E2

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

E3

 Interpret remainders from division of multidigit numbers. [5.NBT.6] [MP1, 2, 4]

E4

 Follow the order of operations (e.g., using parentheses). (Algebra 4) [5.OA.1] [MP1, 2, 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 one- and two-digit numbers. [5.NBT.6] [MP2, 6]

E6

 Divide numbers that are multiples of ten. [5.NBT.1] [MP1, 2, 4, 8]

E7

 Divide multidigit numbers by one- and two-digit divisors using paper and pencil. [5.NBT.6] [MP1, 2, 4, 6]

E8

 Use ratios to solve problems. (Algebra 1) [5.NF.5] [MP1, 2, 5, 6]

Measurement 2

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

E9

 Estimate the area of shapes with curved sides. [6.G.1] [MP1, 2, 7]

E10

 Choose appropriate units to measure variables (e.g., length, area, volume, mass). (Algebra 1) [6.G.1, 2] [MP1, 5]

Data 1

Data Collection. Select, collect, and organize data to answer questions, solve problems, and make predictions.

E11

 Represent variables and procedures. (Algebra 1) [5.OA.3] [MP2, 4]

Data 2

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

E12

 Make a point graph and draw a best-fit line. (Algebra 2) [5.G.2] [MP4, 7]

Data 3

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

E13

 Find the mean and median of a data set. [6.SP.5] [MP2, 4, 7, 8]

Data 4

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

E14

 Make predictions and generalizations using data tables, graphs, and averages. (Algebra 4) [5.G.2] [MP2, 4, 5]

Number 3

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

E15

 Demonstrate fluency with the multiplication and division facts for the last six facts (4 × 6, 4 × 7, 4 × 8, 6 × 7, 6 × 8, 7 × 8). [5.NBT.5, 6]

Math Practices

X

Math Practices Expectations. Students use the Math Practices Expectations on the Math Practices page in 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 7 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 for reasonableness [MPE3], 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. [MP1]
MPE2 Find a strategy. I choose good tools and an efficient strategy for solving the problem. [MP1, 2, 5]
MPE3 Check for reasonableness. I look back at my solution to see if my answer makes sense. If it does not, I try again. [MP2, 7]
MPE4 Check my calculations. If I make mistakes, I correct them. [MP2, 6]
MPE5 Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking. [MP3, 5]
MPE6 Use labels. I use labels to show what numbers mean. [MP6]