Welcome to the Final Cycle of Math Class!
This cycle, we're focusing on the quadratic formula, a powerful tool for solving quadratic equations. Remember, a quadratic equation is an equation of the form $ax^2 + bx + c = 0$, where $a$, $b$, and $c$ are constants and $a \ne 0$.
Grading Breakdown: Your grade for this cycle will consist of the following:
- Packet Completion (14 points): Demonstrating your understanding through completing the assigned pages.
- Test Grade: Assessed from selected pages within the packet.
- Creative Project: Showcasing your comprehension and creativity based on the provided rubric.
Remember: Bolded items indicate your tasks for each day. Non-bolded items outline what Professor Baker will be covering before you begin your work. If you finish early, keep practicing to maximize project time at the end!
Daily Breakdown:
June 11th
- Professor Baker: Introduces the Quadratic Formula. Read pages 51 and 52.
- Your Task: Complete problems on the top of page 51 and the bottom of page 52, and problems #1-10 on page 53.
- Check out these videos explaining the quadratic formula: Quadratic Formula with Rational Answers and Quadratic Formula with Square Roots.
June 12th
- Professor Baker: Reviews simplifying square roots and demonstrates an example of the Quadratic Formula with a square root answer.
- Your Task: Complete problems #11-20 on page 53 and the problem on page 54.
Key Concept: The quadratic formula is given by: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$. The term inside the square root, $b^2 - 4ac$, is called the discriminant. If the discriminant is positive, there are two real roots; if it's zero, there is one real root; and if it's negative, there are two complex roots.
June 13th
- Professor Baker: BOOK COLLECTION: Reviews quadratic vocabulary and how to translate application problems. Do example on page 55.
- Your Task: Complete problems on page 56.
June 16th
- Your Task: Complete problems on pages 57 and 58. These problems will focus on applying quadratic equations to real-world scenarios. Look for keywords like "maximum," "minimum," "roots," and "zeros" to guide your problem-solving.
June 17th
- Your Task: Complete Solving Quadratic Functions problems #1-5 (see attached worksheet). Try solving each question by graphing, using the square root method, factoring, and the quadratic formula. Analyze your results and identify the most efficient approach.
June 18th
- Your Task: Complete Solving Quadratic Functions problems #6-11 (see attached worksheet).
June 19th
- Your Task: Work on your Quadratic Formula Creative Display Project. Brainstorm creative ways to visually represent the quadratic formula and its applications. Refer to the rubric at the end of the packet.
June 20th
- Your Task: Present your Quadratic Formula Creative Display Project. Be prepared to explain your project's concept and how it relates to the quadratic formula.
June 23rd (Last Day!)
- Watch School of Hard Sums Episode (link will be provided).
Remember to check the attached PDFs for notes and example problems. Good luck, and have fun exploring the world of quadratic equations!