or negative; relative maximums Define the and minimums; symmetries; end characteristics of behavior; and periodicity. function Day 2 (Concept) Day 2 (Skills) Day 2 (Material) Graph functions expressed Review Review Mind symbolically and show key X intercept and y Determine x intercept and y Topic 5 features of the graph, by hand in intercept intercept from a table, Exploring simple cases and using graph Long term “ – technology for more complicated New: behavior and zeroes ” cases. Definition End New: P 1 9 – polynomial functions, Behavior Identify end/long term SAS 3 identifying zeros when suitable Meaning of Zeroes of behavior of a function Guided Practice factorizations are available, and a function Determine number of P 1 11 – showing end zeroes in a function More Practice behavior. Graphing functions with zeroes ,the interval Compare properties of two where function increases functions each represented in a and decreases different way (algebraically, Comparing max and min graphically, numerically in tables, from represented with or by verbal descriptions). For graphs and tables ( example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum Day 3 (Concepts) Day 3 (Skills) Day 3 (Material) Identify of Review: Review: Agile Mind polynomials when suitable Definition of X finding X intercept s from Topic 5 factorizations are available, and intercept s graphs and equations Exploring use the zeros to construct a Definition of Definition of Polynomials Higher “ rough graph of the function Polynomials factors trinomials polynomials ” defined by the polynomial. Definition factors use discriminants to see if P 1 7 – there is a real solution SAS 4 Guided Practice New: How the number of New: zeroes related to the note: skip page 1. additional
or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. Define the characteristics of function Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum Identify of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. Day 2 (Concept) Review X intercept and y intercept New: Definition End Behavior Meaning of Zeroes of a function Day 2 (Skills) Review Determine x intercept and y intercept from a table, graph New: Identify end/long term behavior of a function Determine number of zeroes in a function Graphing functions with zeroes ,the interval where function increases and decreases Comparing max and min from represented with graphs and tables ( Day 2 (Material) Mind Topic 5 Exploring “ Long – term behavior and zeroes ” P 1 – 9 SAS 3 Guided Practice P 1 – 11 More Practice Day 3 (Concepts) Review: Definition of X intercept s Definition of Polynomials Definition factors New: How the number of zeroes related to the Day 3 (Skills) Review: finding X intercept s from graphs and equations Definition of Polynomials factors trinomials use discriminants to see if there is a real solution New: Day 3 (Material) Agile Mind Topic 5 Exploring “ Higher polynomials ” P 1 – 7 SAS 4 Guided Practice note: skip page 1. additional
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