Together with your students act out each scene of the book and incorporate a lesson on verbs. The kids will enjoy pretending to open the fridge, spread jam on the muffin, put on a sweater and everything else the moose does. As they act out the scenes, have them write in their notebook each time they recognize a verb.
For young students, photocopy and shrink each page of the book. Mix them up, and as a class, determine how to put the pages back together again in the correct order. This exercise teaches reading comprehension. For older students, type out "if/then" sentences. For example, type, "If you give a moose a muffin, then he'll want some jam." For your next sentence, type, "If he eats one with jam, then he'll want another." The next sentence would read, "If he wants another, then he will want to go with you." Cut the sentences into individual strips. Arrange the students into groups and have them arrange the sentences into the correct order.
In younger classes, ask students to draw their favorite scene. Give the students a chance to discuss the story with you and tell why they liked certain scenes over others. Depending on the size of your class, incorporate a lesson on word recognition. Write a word underneath their drawing for them to study and learn.
In the book "If You Give a Moose a Muffin," the moose gets sidetracked. Play a game of "telephone," where all the students sit together in a circle. Begin by whispering a word to the student closest to you. That student whispers the word to the student beside him, and so on. By the end of the circle, the word will have gotten so distorted that it no longer even sounds like what you first said. Play this game before you read the book to prepare the students for the concept of getting distracted.
Students love interactive story time. Prepare a bag ahead of time with jam, muffin mix, a sweater, a needle and thread, paint and all the other objects in the story. Teach students that a noun is a person, place or thing. Every time a person, place, or thing is mentioned in the story, have the students shout it out. Then, pull out that specific object from your bag. For example, when the moose is cold and wants to wear a sweater, wait for the students to call out, "Sweater!" Then pull out a sweater from your bag.