Name: Kaitlyn Bailey AVID Teacher: Date: Stubbs 11/10/2020 AVID Tutor: Nora AVID Period: B3 Subject: Algebra Tutorial Request Form (TRF) BEFORE TRF Pre-Work DURING AFTER Collaborative Inquiry Communication / 12 /8 /20 Total Closure /10 /50 Indicate how the student demonstrated engagement in tutorials. Check all that apply. Collaborative Inquiry ❏ Uses Socratic questioning ❏ Utilizes resources to investigate student presenter’s POC ❏ Takes focused notes (Phase 1) or supplements academic class notes (Phases 2-3) Communication ❏ Communicates clearly, both verbally and non-verbally ❏ Listens effectively to decipher meaning ❏ Demonstrates command of academic vocabulary ❏ Adapts speech to an academic setting Reflection ❏ Summarizes key academic learning points ❏ Reflects on today’s tutorial process and identifies next steps Topic/Essential Question from Academic Class: Focus and Directrix Initial Question: Rewrite the equation in vertex form. Then find the vertex, focus, directrix, axis of symmetry, direction of opening, and y-intercept. Source: 5-7 XL, Student Notes /2 Key Academic Vocabulary and Definition Associated with Topic/Question: 1. Directrix- A y= line that does not touch the parabola. The parabola is halfway between this and the focus. 2. Focal length- The distance from focus to parabola. What I Know About My Question: /4 1. The vertex form equation can also be shown as y=1/4c(x-h)^2+k. 2. The ‘c’ value is the distance from the focus to the parabola. 3. The focus is a point that the parabola faces and a directrix is a line that the parabola never touches. /4 Critical Thinking About Initial Question with Corresponding Steps: Use these symbols in the Critical Thinking box and on the board to identify the following: ❕= A-Ha! moments ❔ = Point of Confusion �= Need to research �= I’m confident about… 1. Show your thinking about your initial question, and identify your Point of Confusion. /4 y=x^2+4x+1 Vertex form- (a is the same) (x=-b/2a) (y=a(x-h)^2+k) Vertex- (h,k) Focus- (y=1/4c(x-h)^2+k) DirectrixAOSY-intercept- (0,1) 2. List the general steps that you took leading up to your Point of Confusion. 1. 2. 3. 4. 5. Convert to vertex form Find vertex Find focus of parabola Find axis of symmetry Find y-intercept /4 Tutorial Question (from Point of Confusion): Write an authentic question about your Point of Confusion that is different from your initial question. How do I use my knowledge of focus and directrix from 5-4 to apply it to 5-7, to solve my problem? /2 Name Abraham Valenzuela POC How do I find the zeros of a quadratic equation by completing the squares? Notes x^2-10x+10 Cristian Contreras Eliminate the prepositional clauses and relative clauses to find the main clause of each sentence. Prepositional clause- A prepositional phrase is a group of words consisting of a preposition, its object, and any words that modify the object It seemed to Myop as she skipped lightly from hen house to pigpen to smokehouse that the days had never been as beautiful as these. Xanthie Rodriguez How do I complete a perfect square problem? (8/2)^2=16 m^2+8m+16 (m+4)^2 Kaitlyn Bailey How do I use my knowledge of focus and directrix from 5-4 to apply it to 5-7, to solve my problem? Directrix: -3.25 Focus: (-2,-2.75) a=1/4c Reflection- I learned that I can find my focus from a from my equation using the equation a=1/4c. When I put in 1 for ‘a’, I got c=¼. This helped me find my focus of (-2, -2.75) and my directrix of -3.25, because I know how c corresponds to both.