How could you tweek, build on or create a new lesson based on your observations and what you know now about differentiating instruction in those subjects?

First, I observed a math lesson. The concept taught was addition. The teacher pulled a 2-page worksheet from the school’s provided curriculum and gave it to all students to set on their tables and get their supplies. Next, she had all students in the carpet and used the smartboard to teach, model, and have some students to answer the questions for the first page. Then, she had students do the assignment on their own, and come back to the carpet for the second page, where she repeated the process. I would not have students do worksheet; rather, I would have a few objects that are the same and have students add the amount of toys together to differentiate.   
Next, I observed a science lesson. The concept was parts of the pumpkin. The teacher showed a video and played a game with students where they had to match the part of the pumpkin with the sound coming from the computer. To differentiate, I would get a pumpkin and have students sit around me. I would then cut it open and have students, touch, feel, and name the parts of the pumpkin.  
This week I tried implementing an activity in how students can count objects by using manipulatives and my self-assessment was that the implementation was more successful than when I only used worksheets.
As a final thought, a digital poster project is a great summative for students to show understanding of the subject. By presenting to the class their posters, students not only demonstrate content retention, they reteach the whole class!

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