If I was a teacher this year instead of a student teacher I would do things a little differently if I could. My cooperating teacher is fantastic at differentiating spelling by using Words their Way. She also does a good job of "reteaching" differentiating in math. If I were a real teacher this year and had my own classroom I would want to proactively differentiate my math lessons. The following is my example.
A 4th grade division lesson.
Objective is to learn to divide a multi-digit dividend by a 1 digit divisor.
Pre-Assessment: I would have the students do 3 division problems on their white boards. The first would be a review division problem, the second a division problem that they would be learning to solve in today's lesson and third a more challenging division problem. According to how the students answered the questions and based on who got what answers correct, I would then group the students into three groups and each group would be given a different math worksheet.
Step 1: I would then give a
direct explanation to the students showing them how to solve the division problem from today's lesson ( 1 digit by 3 digits). This would be done as a whole class.
Step 2: Independent practice would be tiered to the students' different readiness levels. The 3 groups would be based on the number of incorrect answers in the pre-assessment.
Tier 1 - Beginning Level
Their worksheet would first review a few standard division facts (24 / 4 = 6)
Second it would have a series of scaffolded problems like 240 / 4 = ? These problems would be fill in the blank steps to solving the problem. For example,
240 / 4 = ?
cover up the zero
24 / 4 = ?
Draw four circles and divide out 24 dots into the circles evenly.
How many dots are in each circle?
24 / 4 = ?
add the zero back onto your answer
60
The third part of the worksheet would be questions like 250 / 5 = ? With lots of room to work the steps and many similar repeating questions.
The very last questions on the W.S. would be a division story problem.
I would have this group of students come back and show me their paper after 3 problems were done in the scaffolded section of the W.S. I would do this so that I could assess their knowledge of the concept.
Tier 2 - Standard Level
The first part of the worksheet would provide one scaffolded division problem. Like the second step in the Tier 1 W.S.
The second part would have many regular division questions with no scaffolds. ie: 480 / 6 = ?
The third part would have 4 story problems with regular division problems in them.
Tier 3 - Advanced
The first step would be a series of regular division problems. Only like 6 of these problems will be necessary.
The second step will be a series of story problems with 1 digit by 4 digit division problems. ie: 3500 / 7 = ?
The third step will be 2 challenge questions. They will be asked to solve a story problem with a 1 digit by 4 digit division problem that doesn't come out evenly. ** This group will be allowed to collaborate at the back table with other tier 3 students to figure out the last 2 challenge questions.
Summative Assessment: The next day in class there will be a 5 question quiz with 3 regular division problems 180 / 3 = ? and 2 story problems following the same division problem format.