- List three content standards from your state that apply to ratios and proportional reasoning for grades K–6. The three selected standards must represent three different grade levels.
- Write a sample problem for each of the three standards to illustrate the evolution of student understanding.
- Provide a solution for each problem that demonstrates each step or explains the thinking process involved in determining the solution.
- Discuss how the chosen standards and problems build student understanding of ratios and proportional reasoning across the three K–6 grade levels selected previously.
B. Watch the “Introduction to Ratios & Proportional Relationships” video and do the following:
- Describe one example from the video that demonstrates how concrete representations are used to model the concept of ratios and proportional relationships.
a. Explain why the use of concrete representations is an effective instructional strategy.
- Explain how the teacher effectively integrates cooperative learning into the lesson using specific examples from the video.
a. Describe the role of the teacher and the students in this lesson using specific examples from the video.
- Explain how the teacher identifies student misconceptions and redirects student thinking using specific details from the video.
- Explain how the lesson activities and related student conclusions could be used to further extend student thinking.
Sample Solution