Assessing Math Concepts - by Kathy Richardson

Book 1: Counting Objects K-3	Book 2: Changing Numbers K-2	Book 3: More/Less Trains K-2
"Counting Objects" will assess if children can answer the question "how many?" and count objects with consistency, accuracy and confidence	"Changing Numbers" will assess if children can: change one quantity to another, describe how one number is related to another, know how many to take away or add, determine whether to take away or add to reach another number, and count on or remove extras to change a number.	"More/Less Trains" will assess if children can: compare two groups and determine which is more and which is less and compare two groups in a variety of settings and determine how many more or how many less one number is than another.
Book 4: Number Arrangements K-2	Book 5: Combination Trains K-2	Book 6: Hiding Assessment K-3
"Number Arrangements" will assess if children can: recognize the parts of numbers; combine parts of numbers without counting them all; recognize groups of numbers to 5 in a variety of configuratons; recognize the smaller parts contained by larger numbers.	"Combination Trains" will assess if children can: use known combinations and figure out unknown combinations; know the parts of numbers to ten; solve problems to 20; write equations.	The Hiding Assessment will determine if children can recognize the parts of a number to ten, solve subtraction problems, and write subtraction equations, seeing the relationship between composition and decomposition of numbers.
Book 7: Ten Frames K-2	Book 8: Grouping Tens K-3	Book 9: Two Digit Addition and Subtraction K-3
"Ten Frames" will assess if children can combine single digit numbers by reorganizing them into a 10 and leftovers; subtract from numbers up to 20; know 10 plus any number from 1 to 10; describe 10 as a single entity.	"Grouping Tens" helps determine if children can organize quantities into tens and ones, add and subtract tens without counting, and count groups of tens.	"Two Digit Addition and Subtraction" helps determine if children can use what they have learned about single digit operations to add and subtract two digit numbers competently and to establish that they can describe how to solve problems.