*1 Mind Block = 45 minutes Topic 4: Building New functions Topic Objectives (Note: these are not in 3-part or SMART objective format) Identify polynomial functions from linear and quadratic functions Add, subtract, and multiply polynomial expressions Identify the interval or increasing and decreasing functions from a Use interval notation to describe a part of a Identify odd and even functions from graphs Define rational expression Simplify rational expression Focused Mathematical Practices MP 2: Reason abstractly and quantitatively MP4: Model with mathematics MP 5: Use appropriate strategically MP 6: Attend to precision MP7: Look for and make sense of structure Vocabulary Polynomial expression, polynomial function, rational expression, rational function, leading coefficient, increasing function, decreasing function, concavity, inflection interval notation, odd function, and even function Fluency Compare and contrast the parent functions Simplify Algebraic expressions Multiply binomial and trinomial Factor trinomials in standard form Suggested Topic Structure and Pacing day Objective(s) Mind MP Additional Notes “Blocks” covered (see Professional Support for further lesson details) Day 1 1 & 2 2,4,5 Overview is optional Block 1 Explore (Building Polynomial) page 1-6 Block 2 Day 2 1 & 2 Block 3 2, 4, 5, Explore (Building Polynomial) page 7-11 Day 3 3, 4 Block 4 4,5, 6 Explore and cubic” page 1,2, “Quadratic 3, 6, and 7 Skip pages 4,5,8 and 9 Introduce interval notation on 3 Day 4 5 Block 4 4,5,6 Explore and Cubic” page 10 “Quadratic and 11 Department will provide supplements for identifying even and odd functions algebraically and graphically Day 5 6, 7 2, 8 Explore rational from Block 5 “Building polynomial” page 1 and 2 (Students only need to “simplify”)
*1 Mind Block = 45 minutes Topic 4: Building New functions Topic Objectives (Note: these are not in 3-part or SMART objective format) Identify polynomial functions from linear and quadratic functions Add, subtract, and multiply polynomial expressions Identify the interval or increasing and decreasing functions from a Use interval notation to describe a part of a Identify odd and even functions from graphs Define rational expression Simplify rational expression Focused Mathematical Practices MP 2: Reason abstractly and quantitatively MP4: Model with mathematics MP 5: Use appropriate strategically MP 6: Attend to precision MP7: Look for and make sense of structure Vocabulary Polynomial expression, polynomial function, rational expression, rational function, leading coefficient, increasing function, decreasing function, concavity, inflection interval notation, odd function, and even function Fluency Compare and contrast the parent functions Simplify Algebraic expressions Multiply binomial and trinomial Factor trinomials in standard form Suggested Topic Structure and Pacing day Objective(s) covered Mind “Blocks” (see Professional Support for further lesson details) MP Additional Notes Day 1 1 & 2 Block 1 Block 2 2,4,5 Overview is optional Explore (Building Polynomial) page 1-6 Day 2 1 & 2 Block 3 2, 4, 5, Explore (Building Polynomial) page 7-11 Day 3 3, 4 Block 4 4,5, 6 Explore “Quadratic and cubic” page 1,2, 3, 6, and 7 Skip pages 4,5,8 and 9 Introduce interval notation on 3 Day 4 5 Block 4 4,5,6 Explore “Quadratic and Cubic” page 10 and 11 Department will provide supplements for identifying even and odd functions algebraically and graphically Day 5 6, 7 Block 5 2, 8 Explore “Building rational from polynomial” page 1 and 2 (Students only need to “simplify”)