# Grade Seven Mathematics

## What are the knowledge and skills the student is expected to learn in grade seven mathematics?

In grade seven, students further develop their understanding of rates and ratios, statistics and probability, using tables, graphs, and equations to solve real-world problems involving proportional relationships. Students also work on quickly and accurately solving multistep problems involving positive and negative rational numbers—any number that can be made by dividing one integer by another, such as 1/2, –0.75, or 2. Additionally, students expand their knowledge of geometry and apply the properties of operations to solve real-world problems involving the measurement of multidimensional objects.

## Overall Achievement

The student took a Smarter Balanced assessment based on the grade seven Washington learning standards for mathematics and received an overall score that ranges from about 2000 to 3000. This overall score falls into one of the four achievement levels shown here. Sample test items may be included that exemplify the kinds of passages and questions that students at different levels of achievement would likely answer correctly.

### Level 4: 2635–2964

The student has made progress and exceeded the grade seven standard for mathematics. The student appears ready for future coursework.

### Level 3: 2567–2634

The student has made progress and met the grade seven standard for mathematics. The student appears ready for future coursework.

### Level 2: 2484–2566

The student nearly met the grade seven standard for mathematics needed for likely success in future coursework. Please discuss with the student’s teacher(s) ways to help the student improve.

### Level 1: 2108–2483

The student did not meet the grade seven standard for mathematics needed for likely success in future coursework. Please discuss with the student’s teacher(s) ways to help the student improve.

## Student Achievement by Claim

The student’s results are also reported out into the three claims (i.e., areas) that together make up mathematics: Concepts and Procedures, Problem Solving and Modeling/Data Analysis, and Communicating Reasoning. These three claims are based on Washington’s learning standards, which describe the knowledge and skills students are expected to learn in grade seven.

If the student received a score of “No Score Available” for any claim, this means he or she did not complete enough items to receive a score in that area.

To view a description of the student’s achievement level claim (i.e., area), select either **Above Standard**, **At/Near Standard**, or **Below Standard** from the student-level selections available in the table below.

### Concepts and Procedures

The Concepts and Procedures claim (i.e., area) assesses the student’s understanding of key mathematical concepts and procedures and ability to apply these concepts and procedures to solve problems.

Above Standard

The student demonstrates a thorough ability to consistently explain and apply mathematical concepts, and the ability to interpret and carry out mathematical procedures with ease and accuracy.

At/Near Standard

The student demonstrates some ability to explain and apply mathematical concepts, and the ability to interpret and carry out mathematical procedures with ease and accuracy.

Below Standard

The student does not yet demonstrate the ability to explain and apply mathematical concepts, or the ability to interpret and carry out mathematical procedures with ease and accuracy.

### Problem Solving and Modeling/Data Analysis

The Problem Solving and Modeling/Data Analysis claim (i.e., area) assesses the student’s ability to use appropriate tools and strategies to solve real-world and mathematical problems.

Above Standard

The student demonstrates a thorough ability to consistently solve a variety of well-posed mathematics problems by applying his or her knowledge of problem-solving skills and strategies. The student also demonstrates a strong ability to analyze real-world problems, and can build and use mathematical models to interpret and solve problems.

At/Near Standard

The student demonstrates some ability to solve well-posed mathematics problems by applying his or her knowledge of problem-solving skills and strategies. The student also demonstrates some ability to analyze real-world problems, and can build and use mathematical models to interpret and solve problems.

Below Standard

The student does not yet demonstrate the ability to solve a variety of mathematics problems by applying his or her knowledge of problem-solving skills and strategies. The student does not yet demonstrate the ability to analyze real-world problems, or build and use mathematical models to interpret and solve problems.

### Communicating Reasoning

The Communicating Reasoning claim (i.e., area) assesses the student’s ability to develop valid mathematical arguments to support his or her mathematical thinking and to evaluate the reasoning of others.

Above Standard

The student demonstrates a thorough ability to clearly and precisely put together valid arguments to support his or her own mathematical thinking and to critique the reasoning of others.

At/Near Standard

The student demonstrates some ability to clearly and precisely put together valid arguments to support his or her own mathematical thinking and to critique the reasoning of others.

Below Standard

The student does not yet demonstrate the ability to put together valid arguments to support his or her own mathematical thinking or to critique the reasoning of others.