COURSE NAME: Algebra 2 First Unit - Algebra 1 IM Unit 6: Quadratic Functions Est. Time: 6 Weeks (14 lessons, meets every other day) OVERVIEW In this unit, students will look at and compare different number patterns. Specifically, these will include linear, exponential, and quadratic patterns. Students will interpret, represent, and analyze quadratic functions algebraically, graphically, and in tables. Students will see how expressions in standard, factored, and vertex form reveal important behavior and features of quadratic relationships. Students will study a variety of real-world problems that can be analyzed with quadratic functions. STAGE 1 β IDENTIFY DESIRED RESULTS ESTABLISHED GOALS CSDE Content Standards: HSA-SSE.A: Interpret the structure of expressions. HSA-SSE.B: Write expressions in equivalent forms to solve problems. HSF-BF.A: Build a function that models a relationship between two quantities. HSF-BF.B: Build new functions from existing functions. HSF-IF.A: Understand the concept of a function and use function notation. HSF-IF.B: Interpret functions that arise in applications in terms of the context. HSF-IF.C: Analyze functions using different representations. HSF-LE.A: Construct and compare linear, quadratic, and exponential models and solve problems.
TRANSFER β
COMMUNICATION: Create a logical and evidence-based argument to support ideas.
β
MP #3: Construct viable arguments MP #5: Use appropriate tools strategically. RESEARCH AND UNDERSTANDING: Synthesize information to solve problems and defend claims.
β
MP #8: Look for and express regularity in repeated reasoning. CRITICAL THINKING: Identify a problem, ask key questions, and make predictions.
β
MP #2: Reason abstractly and quantitatively. MP #4: Model with mathematics. SELF DIRECTION: Persevere through frustration when challenging situations or temporary failures arise. MP #1: Make sense of problems and persevere in solving them.
UNDERSTANDINGS β
Functions often have different forms that describe the same situation, but specific forms are more efficient at answering certain questions.
9-12 Mathematics Curriculum
ESSENTIAL QUESTIONS β
How does the equation of a function provide us information about the relationship between its inputs and outputs? How are new functions connected to functions I am already familiar with?
52
