Book 1
– counting
– one to one correspondence
Book 2
– same as Book 1 but numerals are introduced
Book 3
– the concept of addition is introduced
– the + sign is introduced
– the = sign is introduced
– the concept of carrying is introduced
Book 4
– the idea of sameness or equations is introduced
– the = sign means “same as”
– solving for x
– static addition
Book 5
– the concept of exchanging a ten bar for ten units is introduced
– solving for x
– dynamic addition
Book 6
– same as Book 5 but with larger numbers
Book 7
– study sameness
– practice exchanging the 10 bar for ten units but with larger numbers
Book 8
– continue to study sameness
– the concept of multiplication is introduced
– the concept of factoring is introduced
Book 9
– continue to study sameness but with even larger numbers
– building rectangles
– multiplication facts
Book 10
– same as Book 9