Final answer:
The verbs 'did not see' and 'laid' are the correct past tense forms to use in the phrase provided by the student. 'Did not see' refers to the past action of failing to notice something, while 'laid' refers to the past action of placing something on a surface.
Step-by-step explanation:
The student appears to be asking for the correct forms of the verbs 'see' and 'lay' to complete the sentences given. The context requires past tense forms. For the first blank, the verb needed is 'saw' (past tense of 'see'). For the second blank, the correct form is 'laid' (past tense of 'lay'). The completed sentence is: "I did not see the note that I laid on the kitchen table yesterday."
In these examples, 'saw' refers to the action of noticing or perceiving something with the eyes that has occurred in the past, while 'laid' denotes the past action of placing or setting something down on a surface.
The verb 'lay' and its past tense 'laid' often cause confusion as they are similar to 'lie' and its past tense 'lay'. The use of 'lay' here is correct because it is used with a direct object (the note). Meanwhile, 'lie' would be used when there is no direct object, as in 'I need to lie down.'