Update With Inner Join

I have an MS Access query that needs to be converted ot SQL Server 2005

Access Query:
UPDATE tblCheckNumber INNER JOIN tblHistory ON
tblCheckNumber.Autonumber = tblHistory.AutoNumber SET
tblHistory.CheckAmount = ([tblchecknumber].[amount1]), tblHistory.CheckNumber =
[tblchecknumber].[checknumber], tblHistory.CheckDate = [tblchecknumber].[checkdate],
tblHistory.AccountNumber = [tblchecknumber].[AccountNumber],
tblCheckNumber.Updated = "YES"

WHERE
(((tblHistory.CheckAmount) Is Null Or
(tblHistory.CheckAmount)=0) AND ((tblHistory.CheckNumber) Is Null) AND
((tblHistory.CheckDate) Is Null) AND
((tblHistory.AccountNumber) Is Null));

SQL conversion:
UPDATE
tblCheckNumber
SET tblHistory.CheckAmount = ([tblchecknumber].[amount1]), tblHistory.CheckNumber = [tblchecknumber].[checknumber], tblHistory.CheckDate = [tblchecknumber].[checkdate], tblHistory.AccountNumber = [tblchecknumber].[AccountNumber], tblCheckNumber.Updated = "YES"
FROM [DEV_TAXREF].[dbo].tblCheckNumber
INNER JOIN tblHistory
ON tblCheckNumber.Autonumber = tblHistory.AutoNumber
WHERE (((tblHistory.CheckAmount) Is Null Or (tblHistory.CheckAmount)=0) AND ((tblHistory.CheckNumber) Is Null) AND ((tblHistory.CheckDate) Is Null) AND ((tblHistory.AccountNumber) Is Null));

I get the following error:
The multi-part identifier "tblHistory.CheckAmount" could not be bound.

What is wrong?