This table shows how Saxon Cumulative Tests assess lesson content.

This table shows how Saxon Cumulative Tests assess lesson content.

In this example, all 132 Saxon Math 7 lessons, all 93 Khan Academy Math 7 lessons, and 12 Microsoft Excel spreadsheet projects are included in the final SBRC report.

This degree of detail shows teachers and parents which specific skills need strengthening, without them being obscured by inclusion in broad standards.

The school I work at combines the 132 Saxon lesson skills into a 26-item list of broad categories for the standards-based report card. Not all Saxon lesson skills are included on the SBRC.

In this example [Lesson 3: Unknown Numbers in Addition, Subtraction, Multiplication, and Division], data flows into the school’s relevant skills workbook in the Variables category. This particular category pulls data from seven relevant lessons and produces one proficiency level for the school’s SBRC.

The Saxon Math 7 textbook covers 120 lessons and 12 investigations, for a total of 132 topics.

The 23 Saxon curriculum assessments contain 20 problems, drawn from any of the topics that have been taught up to the prescribed time for the administration of the assessments.

In the example above, Lesson 60: Fractional Part of a Number; Part 1 and Percent of a Number; Part 1 is assessed on 2 of the 20 items on Cumulative Assessment 13.

Assessment scores are entered in the Assessments workbook and flow to corresponding pages in the All Skills workbook.

In this example, Lesson 60 is assessed on 7 different tests. Formulas on the right side of the spreadsheet sum the last three non-blank cells to indicate student proficiency for the assessments.

Worksheet scores are entered in the Worksheets workbook and likewise flow to the corresponding pages in the All Skills workbook.

In this example, there are 3 problems on the Lesson 60 worksheet. Formulas on the right side of the spreadsheet sum the last three non-blank cells to indicate student proficiency for the worksheets.

Because the Saxon curriculum does not assess each lesson an equal number of times (see this post) , the SBRC proficiency for each lesson skill is based on the higher of the Assessments and Worksheets scores.

The flow chart above shows two paths upward that culminate in a condensed Standards-Based Report Card and a fully detailed Progress Report that includes supplemental resources (Khan Academy and Microsoft Excel).

The condensed SBRC has 26 broad groups of math skills derived from 77 out of the 132 Saxon math lessons for 7th grade.

The detailed Progress Report includes all 132 Saxon lessons, all 93 Khan Academy skills, 12 Microsoft Excel spreadsheet exercises, and a letter grade based on Saxon Assessments.

Articles following this one will detail how proficiencies are determined through the flow of these documents.

After analyzing [here] the number of times that lesson skills show up on Saxon Cumulative Tests, it’s apparent that a number of problems have to be addressed:

- There are not enough test items for almost half of the lesson skills for students to be able to demonstrate proficiency if the guidelines require three proficient scores to warrant a proficient achievement rating for those skills.
- Some of the lesson skills are not evaluated at all on any of the 23 Cumulative Tests.
- Many of the Saxon lessons cover more than one skill. If the Cumulative Tests have only one or two questions in the entire course for the lessons with multiple skills, how can the teacher determine a student’s proficiency in all areas of the lesson? For example, Lesson 29 covers three skills: Rounding Whole Numbers, Rounding Mixed Numbers, and Estimating Answers. There is only one test item in 628 test questions that addresses that lesson.
- The number of Cumulative Tests that a lesson skill is assessed on varies tremendously:

To try to objectively assess a student’s proficiency level of the 132 lessons in Saxon Math based on the Cumulative Tests alone is an untenable task. To try to create a Standards-Based Report Card using an even further constrained list of combined skills will result in arbitrary and meaningless proficiency levels.

Here we have a list of all the lesson skills and the number of times they are assessed in order from most to least.

Current Standards-Based Report Card guidelines call for at least three assessments per skill at mastery level to indicate proficiency.

Clearly, with 42% of the Saxon lesson skills assessed less than three times, other testing instruments are required to determine proficiency.

More thoughts to follow.

Just got done going through all of the items on all of the Saxon Math Course 2 Grade 7 Assessments and determining how many times each skill is tested. Results are listed below. (Note: Please wait while document is loaded from Microsoft OneDrive.)

Discussion will follow.