Implementing Common Core State Standards

Implementing Common Core State Standards

Questions should be put in such a way that would encourage the students to use the practical side of their brain. Instead of informing them about the solution to the problem, their inquiries should allow the student to expand their thinking of their responses and provide a rationale for their answers. All this will encourage the student to think of various ways of solving the problem. So, instead of teachers asking the students to solve an equation using the substitution method, the questions can be modified to highlight the differences between substitution and elimination methods.

Original Exercise 1

Solve the equation:

𝑥 + 5 = 8

Revised Exercise:

Explain your strategy for solving the equation X + 5 = 8 to a classmate. Did you use any specific method or operation to isolate the variable 𝑥? Discuss your approach and any insights you gained from solving this equation.

Explanation:

This revision encourages students to not only find the solution to the equation but also to articulate their problem-solving process, fostering communication and a deeper understanding of algebraic concepts. It aligns with the Common Core State Standards (CCSS) Mathematical Practice Standards, particularly in promoting mathematical reasoning and communication skills.

Original Exercise 2

Solve the equation: t−(−5)=9.

Revised Exercise:

Discuss with a partner how you approached solving the equation t−(−5)=9. Did you encounter any challenges with the subtraction of a negative number? Explain your thought process and any strategies you used to overcome difficulties. Share your insights with the class.

Explanation:

This revision encourages students to reflect on the concept of subtracting a negative number, promoting discussion and collaboration. By sharing their problem-solving strategies and insights, students deepen their understanding of algebraic concepts and develop critical thinking skills. The exercise aligns with the Common Core State Standards (CCSS) Mathematical Practice Standards by fostering mathematical reasoning, communication, and collaborative problem-solving.

Original Exercise 3

Solve the equation:

4p=52.

Revised Exercise:

Work with a partner to discuss different strategies for solving the equation 4p=52. Did you use mental math, guess and check, or another method? Share your approach with your partner and compare it with theirs. Together, explain the advantages and disadvantages of each strategy.

Explanation:

This revision promotes collaborative problem-solving and critical thinking as students explore various methods for solving the equation. By discussing the advantages and disadvantages of different strategies, students deepen their understanding of mathematical concepts and develop problem-solving skills. The exercise aligns with the Common Core State Standards (CCSS) Mathematical Practice Standards by fostering mathematical reasoning, communication, and collaboration.

Original Exercise 4

Solve the equation: 6c−8−2c=−16.

Revised Exercise:

In pairs, discuss your approach to solving the equation 6c−8−2c=−16. Did you combine like terms first, or did you simplify each side separately? Share your method with your partner and compare it with theirs. Explain why you chose your particular approach and how it helped you solve the equation.

Explanation:

This revision encourages collaborative problem-solving and critical thinking as students share and compare their problem-solving approaches. By explaining their methods and reasoning to each other, students deepen their understanding of algebraic concepts and develop communication skills. The exercise aligns with the Common Core State Standards (CCSS) Mathematical Practice Standards by promoting mathematical reasoning, communication, and collaboration.

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As we begin to implement the Common Core State Standards, the flavor of most classrooms will change. Although traditional exercises will still have their place, problems that require significant student thinking will be essential and more prevalent. In this essay, describe how the questions that teachers and textbooks pose will need to change in general, being sure to support your ideas with material from the readings and the videos.

Implementing Common Core State Standards

Find at least 3–5 examples of exercises* from high school mathematics textbooks, and revise these exercises to support the CCSS. For each exercise, include the original form, your revision, and an explanation of how the revision models the Mathematical Practices and the Conceptual Categories.

* Please note an exercise is a problem that is meant to be assigned for homework; it is not an example in the body of the text. The original form must be an exact copy of an actual textbook exercise, not just a description of the exercise. Similarly, your revision should be written so that another teacher would be able to hand it out to his/her students as a homework assignment; it is not an in-class group project. A satisfactory submission must include the general essay with appropriate references.