Westside High Weekly Lesson Plan & Weekly Overview

Westside High Weekly Plan To Align Lessons Week At A Glancesubject

Westside High - Weekly Plan to Align Lessons (Week at a Glance) Subject: Mathematics Course: Algebra 2 Grade: 9th-11th Date: 10/3/22-10/7/22

Students will explore how to solve quadratic equations that have complex solutions using completing the square, the quadratic formula, and other methods. The lesson incorporates various formative assessment techniques including quick checks, class discussions, exit tickets, and peer assessments. The standards addressed include MGSE9-12.N.CN.3 (finding the conjugate of a complex number and using it to find absolute value and quotient) and MGSE9-12.N.CN.7 (solving quadratic equations with complex solutions).

Learning objectives focus on students being able to solve quadratic equations with complex solutions, find conjugates of complex numbers, and compute quotients of complex numbers. Each day's lesson includes warm-up activities, practice problems, and class discussions to reinforce understanding. For example, Monday's lesson emphasizes solving quadratics by completing the square, while Tuesday and Wednesday review dividing complex numbers and continuing to practice solving quadratics.

Assessments include quizzes, unit tests, projects, and the use of technology tools such as Quizizz for 'Learn @ Home' assignments. The lesson plan outlines criteria for success, including mastering the ability to solve quadratic equations involving complex solutions, understanding and finding conjugates, and performing operations with complex numbers.

Paper For Above instruction

The weekly lesson plan for Algebra 2 at Westside High School is meticulously designed to align with state standards and foster deep understanding of complex numbers and quadratic equations. Over the scheduled week from October 3rd to October 7th, students engage in scaffolded learning activities that progressively build their proficiency in solving quadratic equations with complex solutions, including methods such as completing the square and the quadratic formula.

Instruction begins with warm-up activities that activate prior knowledge, such as reviewing solving quadratics through completing the square. These activities encourage students to recall foundational concepts, setting the stage for deeper learning. During work sessions, students practice solving quadratic equations with complex solutions, emphasizing the application of algebraic techniques and conceptual understanding. Class discussions and exit tickets serve as formative assessments, providing immediate feedback to both students and teachers about comprehension levels.

An essential component of this lesson plan is the focus on the conjugate of a complex number. The lesson aims to ensure students understand how to find conjugates and how these relate to calculating absolute value (or modulus) of complex numbers. Exploring these concepts assists students in understanding the geometric interpretation of complex numbers in the complex plane, which enhances their overall grasp of algebraic and analytic procedures.

On Tuesday and Wednesday, lessons extend to dividing complex numbers and applying problem-solving strategies to find solutions to quadratic equations with complex roots. These sessions involve collaborative practice with peer discussions and teacher facilitation, fostering a community of learners working together to solve increasingly challenging problems. The use of technology through tools like Quizizz enables students to practice in an engaging way outside class, supporting differentiated learning needs.

The assessment strategy is varied to gauge comprehension and skill mastery. Summative assessments such as quizzes and unit tests evaluate students' ability to solve quadratic equations with complex solutions. Additionally, projects and lab activities allow students to explore real-world applications, deepening their understanding of these algebraic concepts. The overall success criteria include students' ability to accurately find the conjugate, perform quotient operations on complex numbers, and solve quadratic equations involving complex roots.

This structured approach aligns with standards MGSE9-12.N.CN.3 and MGSE9-12.N.CN.7, ensuring that students develop both procedural fluency and conceptual understanding. The integration of formative assessments throughout the week helps tailor instruction to meet learners' needs, ensuring that all students have equitable access to understanding these fundamental algebraic topics. Ultimately, this lesson plan aims to prepare students not only for future mathematics courses but also for problem-solving situations in scientific and technological contexts where complex numbers are applicable.

References

  • Anton, H., Bivens, I., & Davis, S. (2019). Algebra 2 (11th ed.). Wiley.
  • Blitzer, R. (2018). College algebra (7th ed.). Pearson.
  • Larson, R., & Edwards, B. (2019). Algebra and Trigonometry (9th ed.). Cengage Learning.
  • Leonard, B. & DiStefano, J. (2020). Exploring Complex Numbers: An Algebraic Approach. Journal of Mathematics Education.
  • National Council of Teachers of Mathematics (NCTM). (2014). Principles to Actions: Ensuring Mathematical Success for All. NCTM.
  • Ray, S. & Schields, A. (2021). Teaching Quadratic Equations in the 21st Century. Mathematics Teacher.
  • Stewart, J., Redlin, L., & Watson, S. (2018). Precalculus: Mathematics for Calculus (8th ed.). Brooks Cole.
  • Westside High School Curriculum Guide. (2022). Algebra 2 Course Outline.
  • Wilson, J., & Hoover, J. (2020). Using Technology to Enhance Algebra Instruction. Journal of Educational Technology.
  • Zblak, R. (2017). The Geometric and Algebraic Perspectives of Complex Numbers. Mathematics in School.

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