# The Growth and Achievement Fan Graph

If none of the students have taken a Star Math assessment in the timeframe that you have selected, the Math Overview will not have a fan graph; instead, it will show you a message explaining that there is insufficient data.

If students have taken a Star Math assessment, the fan graph shows you the Star Math Scaled Score for the student(s), when tests were taken, where the scores fall in the benchmark categories, and the growth for the student(s) in the selected time period (using Student Growth Percentile).

## Benchmarks

The benchmarks used are shown in the drop-down list in the top right corner of the graph; you can use the drop-down list to select other available benchmarks.

The benchmark categories that the scores fall within are shown by the gray shading in the graph.

## Test Scores on the Graph

The large circle with a score (714 in the example above) shows the student's first test of this school year (typically a fall test); if you have chosen a group or class, this is the students' median score for the first test. This is the starting point for student growth for the year. The small blue circles show other tests taken within this school year (or medians for different test windows for a class or group). The diamond represents the student's Student Growth Percentile (or the median SGP for the group or class).

After the first score of this school year, you will see a green, yellow, and red "fan" like the one shown above. (If some of the fan is white, it is because you have selected a smaller timeframe, so only the portion of the fan that is in that timeframe is showing the colors.) The colors on the graph represent the students' growth:

- The green portion shows high growth for this student or group (66th to 95th Student Growth Percentile).
- The yellow shows typical growth (35th to 65th SGP).
- The red shows low growth (5th to 34th SGP).

The student scores typically fall within these categories, showing you the rate of growth as measured by the scores. To increase the likelihood that a student will show high or typical growth, consider additional instruction or improvements in instructional strategies to meet the student's needs.

If the color categories are different sizes, it is because there is a difference in the range of Scaled Scores associated with the SGP for each range. If the red category is larger than the yellow or green categories, it doesn't mean there is a greater likelihood that the student(s) will experience low growth versus moderate or high growth. It also does not mean that the student(s) will have a decrease in Scaled Score. The difference means that there are more Scaled Scores associated with SGPs in that range.

### Projected and Predicted Growth and Target

Also on the graph, you will see dashed lines showing the expected/target path through the end of the school year in order to reach state proficiency (catch up, keep up, move up target), the student's goal (if available and if one has been setâ€”see below), the Projected score based on a 50th Student Growth Percentile, and the Predicted score based on the student's latest Star Math test and current trajectory.

**Target:** The Target shows what Scaled Score the student needs to achieve this year to be on track to reach or maintain proficiency within 3 years (based on state benchmarks). The Target takes into account the first Star Math test of the school year (typically fall), the 3-year timeframe, and the minimum Scaled Score required for proficiency. (Not all students will take 3 years to reach the target.) The Target *does not* change after the first test of the school year. *The Target is not shown for students who have not taken a Star Math test in the past 18 months.*

**Projected Score:** Projected scores show the Scaled Score the student would attain if the student experienced typical growth (SGP of 50). The calculation is based on the *first* fall Star Math test of the school year and a prior score in a testing window within the past 18 months (such as the previous spring score) to establish a new spring Scaled Score projection based on an SGP of 50. This score does *not* change as the school year goes on. *This score is not shown for students who have not taken a Star Math test in the past 18 months.*

**Predicted Score:** Like the Projected Score, this is based on typical growth (SGP of 50). This calculation is based on the *most recent* Star Math test and a prior score in a testing window within the past 18 months (such as the previous spring score). The Predicted score is adjusted based on the latest Star Math test score and an assumption of typical growth (SGP of 50). *This score is not shown for students who have not taken a Star Math test in the past 18 months.*

### Viewing All Time Data

If you have chosen to see All Time data, you will see a graph like the one below. The white circles show the spring Star Math test in each school year. The arrows between those scores show the growth from year to year; the color indicates whether growth is high (green), typical (yellow), or low (red). (If the line is black, the Student Growth Percentile has not yet been calculated.) The number in the diamond shows the Student Growth Percentile for the growth from one year to the next.

### Comparisons

Above the graph, you can select the Scaled Score median comparisons that you want to add to the graph:

- group median (for an individual student's group)
- class median (for an individual student's class)
- school median
- district median
- national median

When you view data for an entire class, you can choose school, district, and national comparisons.

When you select a comparison, you will see the symbol for that comparison on the graph, with a line showing the median scores and growth.

Below the comparisons that you can select, you will see the difference between the student's Student Growth Percentile and the median for the group, class, school, district, and nation (depending on the comparisons available). In the example below, the green +34 below the class median means the student's Student Growth Percentile is 34 points above the median for the class and represents high growth, while the red -8 below the School median means the student's SGP is 8 points below the school median.

The student's current Student Growth Percentile is always used no matter what timeframe you choose to view, so if you are viewing All Time data, note that the Student Growth Percentiles are not based on that timeframe.