CBMmath Automaticity and CBMmath Process Assessment Options

CBMmath Automaticity

The screening data provides a baseline for progress monitoring, either with multi-skill assessments with the same skill distribution as the screener, or individual skills assessments that each assess one of the skills from the screener. The screening data is also valuable for further diagnostic analysis of skill strengths and deficits. For progress monitoring, there are 20 multi-skill forms and 20 single-skill forms for each skill.

Details on CBMmath Automaticity Assessment Options

Level One

• 1x1 addition to 10. These items are one-digit by one-digit addition with a sum less than or equal to 10.
• 1x1 subtraction to 10. These items are subtraction of a one-digit number from a number less than or equal to 10, with the difference being greater than or equal to 0.
• 1x1 addition to 18. These items are one-digit by one-digit addition with a sum less than or equal to 18.
• 2x1 subtraction from 20. These items are subtraction of a one-digit number from a number less than or equal to 20, with the difference being greater than or equal to 0 and no regrouping necessary.
• 1x1 and 1x2 addition to 20. These items are both two one-digit numbers and a one-digit and a two-digit number with a sum less than or equal to 20.
• 1x1 addition and subtraction to 10. Items created for 1x1 addition and 1x1 subtraction to 10 were randomized and used in the creation of 30-item forms consisting of both 1x1 addition items with a sum less than or equal to 10, and 1x1 subtraction items with a product greater than or equal to 0.
• 1x1 and 2x1 addition and subtraction to 20. Addition items are both two one-digit numbers and a one-digit and a two-digit number with a sum less than or equal to 20. Subtraction items are both two one-digit numbers and a two-digit number and a two-digit number with a product equal to or greater than 0.
• Level 1 Multi-skill. Items for Level 1 include 1x1 addition to 10, 1x1 subtraction from 10, 1x1 subtraction to 18, 1x1 and 2x1 addition to 20, and 2x1 subtraction. No maintenance items were included.

Level Two

• 2x1 addition to 100 without regrouping. Items are two-digit by one-digit addition with a sum less than or equal to 100 and do not require regrouping.
• 2x2 addition to 100 without regrouping. Items are two-digit by two-digit addition with a
  sum less than or equal to 100 and do not require regrouping.
• 2x1 subtraction from 100 without regrouping. Items are subtraction of a one-digit number
  from a two-digit number less than or equal to 100, with the difference being greater than
  or equal to 0, and re-grouping is necessary.
• 2x2 subtraction from 100 without regrouping. Items are subtraction of a two-digit number
  from a two-digit number less than or equal to 100, with the difference being greater than
  or equal to 0, and re-grouping is not necessary.
• 2x1 and 2x2 addition to 100 and 2x1 and 2x2 subtraction from 100 without regrouping.
  Items are two digits by one-digit and two digits by two-digit addition with a sum less than or equal to 100 that does not require re-grouping and two digits by one-digit and two-digit by two-
  digit subtraction with a difference less than or equal to 100 with no regrouping.
• Level 2 Multi-skill. Items for the Grade 2 Fluency General Outcome Measure (GOM)
  included: 2x1 addition to 100, 2x2 addition to 100, 2x1 subtraction from 100, and 2x2
  subtraction from 100 without regrouping. Maintenance items from Level 1 were included.

Level Three

• Fact Families. Items included multiplication fact families from the digits 1 to 12.
• 1x2 multiplication to 12. Items include a one-digit factor multiplied by a one or two-digit factor
  between 0 and 12.
• 2x1 division from 100 without remainder. Items are two-digit numbers less than or equal
  to 100 by one-digit division with the quotient being a whole number, and no remainder.
• 1x2 multiplication to 12 and 2x1 Division. Items were a one-digit factor multiplied by a one
  or two-digit factor between 0 and 12 and two-digit numbers less than or equal to 100 by
  one-digit division with the quotient being a whole number, and no remainder.
• Addition, subtraction, multiplication, and division (all skills combined). Items include: 1x2
  to 12 multiplication; 3x2 and 3x3 addition to 1000; 3x2 and 3x3 subtraction from 1000; and
  2x1 and 2x2 division from 100 with no remainder.
• Level 3 Multi-skill. Items for the Level 3 include: 1x2 multiplication to 12 and 2x1 and 2x2
  division from 100 with no remainder. Maintenance items from Level 2 were included.

Administration: 

• 4 minute timed assessment
• Administered online in a group format

Scoring:

• The total test score is the number of correct items per 10 minutes rounded to the nearest whole
  number.

CBMath Process

This assessment is designed to document specific computational errors at every step in the process of solving single and multi-step math problems. Items are presented in a horizontal format so that the student must first determine the correct way to set up the item vertically to begin computation. The test suite includes a multi-skill assessment and a set of single-skill sub-tests for each level. For progress monitoring, there are 20 multi-skill forms and 20 single-skill forms for each skill.

Details on CBMmath Process Assessment Options

CBMmath Process multi-skill screening assessment suite is comprised of five leveled
assessments:

• Level 2 assesses addition and subtraction through 100 that require regrouping, and
  multiplication problems with products through 100
• Level 3 assesses multiplication through multiples of 12 and 2x1 digit division through 99
  without remainders
• Level 4 assesses multiplication up through 1x4 and 2x2 digits, addition through 3x3x3
  digits with carrying; and division through 4x1 digits with and without remainders.
• Level 5 assesses multiplication through 3x3 digits and division through 4x2 digits with a
  remainder.
• Level 6 assesses addition, subtraction, and multiplication with decimals, and division
  through 4x2 digits with remainder, and decimal division with numbers less than 10.

Level 2

• 2x1 and 2x2 addition to 100 with regrouping. Items are two-digit by one-digit and two-digit
  by two-digit addition with a sum less than or equal to 100 that requires regrouping.
• 2x1 and 2x2 subtraction from 100 with regrouping. Items are two-digit by one-digit and two-digit by two-digit subtraction with a difference less than or equal to 100 that requires
  regrouping.
• 2x1 and 2x2 addition to 100 and 2x1 and 2x2 subtraction from 100 with regrouping. Items
  are two-digit by one-digit and two-digit by two-digit addition with a sum less than or equal
  to 100 that require re-grouping and two-digit by one-digit and two-digit by two-digit
  subtraction with a difference less than or equal to 100 that require regrouping.
• Level 2 Multi-Skill. Items for the Level 2 multi-skill assessment include: 2x1 addition to
  100, 2x2 addition to 100, 2x1 subtraction from 100, and 2x2 subtraction from 100, all with
  regrouping.

Level 3

• 3x2 and 3x3 addition to 1000. Items were three-digit by two-digit or three-digit addition
  with a sum less than or equal to 1000 that require regrouping.
• 3x2 and 3x3 subtraction from 1000. Items were three-digit by two-digit or three-digit
  subtraction with a difference less than or equal to 1000 that require regrouping.
• 3x2 and 3x3 addition and subtraction to 1000 with regrouping. Items were three-digit by
  two-digit or three-digit addition and subtraction with a sum or difference less than or equal
  to 1000 that require regrouping.
• Level 3 Multi-Skill. Items for the Level 3 multi-skill assessment include: 3x2 and 3x3
  addition to 1000 and 3x2 and 3x3 subtraction from 1000. Maintenance items from Level
  2 were included.

Level 4

• 3x3x3 or 3x3x2 addition. Items are adding three numbers (all three digits) or three
  numbers (2 three digits and 1 two digits) with no upper limit.
• 3x1 and 4x1 multiplication. Items are three- and four-digit multiplication by one-digit (no
  upper limit).
• 2x2 multiplication. Items are two-digit by two-digit multiplication with no upper limit.
• 2x1 division from 100 with and without remainder. Items are two-digit by one-digit division
  with and without remainders.
• 4x1 and 3x1 division with and without remainder. Items are three- or four-digit numbers
  divided by one-digit numbers with and without remainders.
• 3x1, 4x1, and 2x2 multiplication and 2x1 division. Multiplication items were either
  three-digit by one-digit, four-digit by one-digit, or two-digits by two-digit. Division
  problems were two-digit divisors and one-digit divisors with a quotient equal to or greater
  than zero.
• 3x3x2 and 3x3x3 addition; 1x3, 1x4, and 2x2 multiplication, and 2x1 division,
  and 3x1 and 4x1 division. Addition items were three-digit by three-digit by either two or
  three-digit with no upper limit. Multiplication items were either three-digit by one digit, four digits by one digit, or two digits by two digits. Division problems were two-digit, three-digit,
  or four-digit divisors and one-digit divisors with a quotient equal to or greater than zero.
• Level 4 Multi-Skill. Items for the Level 4 multi-skill assessment include: 1x3 and 1x4
  multiplication; 2x2 multiplication; 3x3x2 and 3x3x3 addition; 2x1 division from 100 with and
  without a remainder; and 4x1 and 3x1 with and without a remainder. Maintenance items
  from Level 3 were included.

Level 5

• 2x3 and 3x3 multiplication. Items are two- or three-digit by three-digit multiplication items
  with no upper limit.
• 3x2 and 4x2 division without remainder. Items are three- or four-digit dividends with
  two-digit divisors, without remainder.
• 3x2 and 4x2 division with remainder. Items are three- or four-digit dividends with two-
  digit divisors, with a remainder.
• 3x2 and 3x3 multiplication; 3x2 and 4x2 division with and without a remainder (all
  skills combined). Items are two- or three-digit by three-digit multiplication with no upper
  limit and three- or four-digit dividends with two-digit divisors, with or without remainder.
• 3x2 and 4x2 division with and without a remainder. Items are three- or four-digit
  dividends with two-digit divisors, with or without remainder.
• Level 5 Multi-Skill. Items for the Level 5 multi-skill assessment include: 2x3 and 3x3
  multiplication; 3x2 and 4x2 division without a remainder; and 3x2 and 4x2 division with a
  remainder. Maintenance items from Level 4 were included.

Level 6

• Decimal addition with regrouping. Items are two- or three-digit numbers with one, two, or
  three decimal places.
• Decimal subtraction with regrouping. Items are two- or three-digit numbers with one, two,
  or three decimal places added to a two or three-digit number with an equal number of
  decimal places.
• Decimal multiplication with regrouping. Items are two- or three-digit numbers with one,
  two, or three decimal places multiplied by a zero or a one-digit number with one, two, or
  three decimal places.
• Level 6 Multi-Skill. Items for the Level 6 multi-skill assessment include: decimal addition
  with regrouping, decimal subtraction with regrouping, and decimal multiplication with
  regrouping.

Administration: 

• Timing
  • Grades 2-3 - 10 minutes
  • Grades 4-6 - 15 minutes
• Pencil/paper assessment in a group format

Scoring:

• Rapid Scoring:
  • 0 points if more than 2 errors are made
  • 1 point if 1 or 2 errors are made
  • 2 points if no errors are made
• Analysis Scoring: 
  • There are 13 error codes and multiple codes can be assigned to each item. The total number of points available varies depending on the item type.
  • The final score for each item is the number of possible points minus the number of errors made.
  • No points are available for non-attempted items.
  • The total test score is the sum of the points earned on each item and is converted to a points per 10 minute score. Thus, for grades 4 – 6, the total point score is multiplied by two-thirds (10/15) to obtain the final score.