Standards-based assessment and Instruction

## A New Fish Tank

Erin has a new fish tank. First, Erin puts five fish in the new fish tank. Next, Erin puts six fish in the new fish tank. Last, Erin puts nine fish in the new fish tank. How many fish does Erin put in the new fish tank? Show all your mathematical thinking.

### Common Core Content Standards and Evidence

#### 1.OA Operations and Algebraic Thinking

Represent and solve problems involving addition and subtraction.

2.   Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

This task requires students to solve word problems that require addition of three whole numbers whose sum is less than or equal to 20. Students also need to be able to recognize duration (first, next and last).

### GO Math! Alignments

• Chapter 3, Lesson: 3.12

### Common Core Standards of Mathematical Practice

MP.1 Make sense of problems and persevere in solving them.
MP.3 Construct viable arguments and critique the reasoning of others.
MP.4 Model with mathematics.
MP.6 Attend to precision.

### Underlying Mathematical Concepts

• Number sense to 20
• First, next, last (duration)

### Possible Problem-Solving Strategies

• Model (manipulatives)
• Diagram/Key
• Tally chart
• Table
• Chart
• Number line

### Possible Mathematical Vocabulary/Symbolic Representation

• Model
• Diagram/Key
• Table
• Chart
• Tally chart
• Number line
• First, next, last
• Sets
• More than (>)/Greater than (>)/Less than (<)
• Equivalent/Equal to
• Most/Least
• Odd/Even
• Equation
• Equality
• Total/Sum
• Half dozen

### Possible Solutions

Erin put 20 fish in the new fish tank.

### Possible Connections

Below are some examples of mathematical connections. Your students may discover some that are not on this list.

• Erin put the least fish in first (5).
• Erin put the most fish in last (9).
• Solve more than one way to verify the answer.
• Odd + Even + Odd = Even.
• Erin has 3 sets of fish.
• 6 fish is a half dozen.
• Erin put 1 less fish in first than second.
• Erin put 4 more fish in last than first.
• 20 total fish is an even number of fish.
• 5 is less than 6, 6 is less than 9.
• 6 is greater than 5, 9 is greater than 6.

### Scoring Rationales and Corresponding Anchor Papers

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Our school subscribes to the Exemplars Library. I find the formative tasks aligned to the Common Core are strong and can be easily embedded in any curriculum. Having a more accessible and more challenging version of each task provides teachers' support as they have the resources to problem solve across different levels of understanding in their classrooms … Students are enjoying the tasks and are demonstrating a deeper understanding of the underlying concepts of the standards as they apply formal math language, accurate representations and connections.

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Principal

PS 94
New York

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