Author(s)

Na Zhao ¹, Jinping Jia ¹

Affiliation(s)

¹ Faculty of Mathematics and Statistics, Tianshui Normal University, Tianshui, Gansu, China

Corresponding Author

Na Zhao

ABSTRACT

Exercises are an important part of teaching materials, which is the consolidation and deepening of classroom teaching content and provides a platform for students' core literacy in mathematics [1]. The cosine formula of sum and difference of two angles is one of the important contents of trigonometric function in high school mathematics teaching. According to the requirements of the course, students need and can flexibly use these formulas for evaluation and deformation application. The cosine formula of sum and difference of two angles is the basis of trigonometric identical deformation. Other trigonometric function formulas are derived from these basic formulas. Therefore, the exercise should cover all aspects from formula derivation to concrete application, including but not limited to: deriving cosine formula of sum and difference of two angles (such as cos (α + β) = cos α cos β-sin α sin β). Students are able to solve practical problems by applying these formulas, such as using vector or geometric methods for proof. This paper aims to provide a systematic teaching plan for high school mathematics teachers through an in-depth analysis of the teaching content, learning situation, and selection and organization of the "cosine formula of the sum and difference of two angles" [3-7].

KEYWORDS

Consistency, Instructional Design, Teaching Exercises, High School Math

CITE THIS PAPER

Na Zhao, Jinping Jia, An Instructional Design for Math Problem Lessons Based on the Alignment of the Problems with Curriculum Standards—"The Cosine Formula for the Sum and Difference of Two Angles" as an Example. Transactions on Comparative Education (2024) Vol. 6: 128-135. DOI: http://dx.doi.org/10.23977/trance.2024.060416.

REFERENCES

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