A. Study the integers and order of operations content standards for your state and do the following:

1. List three content standards from Georgia mathematics that apply to integers and order of operations for grades K–6. The three selected standards must represent three different grade levels (Kindergarten to 6th grade).
2. Write a sample problem for each of the three grade level standards to illustrate the evolution of student understanding.
3. Provide a solution for each problem that demonstrates each step or explains the thinking process involved in determining the solution.
4. Discuss how the chosen standards and problems build student understanding of integers and order of operations across the three K–6 grade levels selected in part A1.

B. Watch the “Grade 6 Math: Introduction to Integers” video (can be found on Youtube) and do the following:

1. Explain how the introductory activity assesses prior knowledge.
2. Describe how the teacher effectively integrates relevant vocabulary terms into the lesson using examples from the video.
3. Explain how the visual aids and real-world examples in the observed lesson work together to illustrate the meaning of zero.
4. Describe how the concluding activity reinforces the content of the lesson.

C. Provide two original learning activities that address student misconceptions about integers and order of operations by doing the following:

1. Describe a student misconception about adding and subtracting positive and negative integers.

a. Describe an interesting and engaging original activity that would clarify the student misconception about adding and subtracting positive and negative integers identified in part C1.

b. Explain how the activity would deepen student understanding of the concept.

1. Describe a student misconception about order of operations.

a. Describe an interesting and engaging activity that would clarify the student misconception about order of operations identified in part C2.

b. Explain how the activity would deepen student understanding of the concept.

D. Acknowledge sources, using in-text citations and references, for content that is quoted, paraphrased, or summarized.

Sample Solution