F-IF.4: For a function that models a Day 3 (Concept) Day 3 (Skills) Day 3 (Material) relationship between two Review Review Agile Mind quantities, interpret key features Domain of a function, , Multiplying three binomials Topic 4 of graphs and tables in terms of linear function, quadratic Graphing Linear equation *Exploring the quantities, and sketch graphs function and “quadratic showing key features given a New Cubics” verbal description of the New Graphing cubic function P 1,2,3,6, and 7 relationship. Key features include: Cubic expressions and Describe behavior of a intercepts; intervals where the cubic functions function for an interval Suggested function is increasing, decreasing, Increasing and decreasing given (in terms of assignment: positive, or negative; relative function increasing, or decreasing) SAS 3 Q14a-c maximums and minimums; Point of inflection Use the interval notation to GP P1-5 symmetries; end behavior; and Interval notation describe for what values of x periodicity. Rate of change makes a the graph is increasing or Moe Practice difference in the decreasing P 7 only increasing or decreasing function *skip pages 4,5,8, and 9 However introduce interval notation on slide 3 F-BF.3. Identify the effect on the Day 4 ( Concept) Day 4 ( Skills) Day 4 (Material) of replacing f(x) by f(x) + k, k Review Review f(x), f(kx), and f(x + k) for specific Rotation, Reflection Rotating shapes on a Agile Mind values of k (both positive and coordinate plane Topic 4 negative); find the value of k given New Reflecting lines over line * Exploring the graphs. Experiment with cases Definition of even and New and “Quadratic and illustrate an explanation of the odd functions Sketching graphs Cubic” effects on the graph using Definition of intervals where the function P10 - 11 technology. Include recognizing Line symmetry is concave up or down and SAS 3 Q15a c – even and odd functions from their symmetry given the point of inflection GP 7 10 – graphs and algebraic expressions Determining whether a MP pg. only 11 for them. function is even or odd graphically Department provide Determining whether a supplements for function is odd or even identifying even and algebraically odd functions algebraically, graphically
F-IF.4: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. Day 3 (Concept) Review Domain of a function, , linear function, quadratic function New Cubic expressions and cubic functions Increasing and decreasing function Point of inflection Interval notation Rate of change makes a difference in the increasing or decreasing function Day 3 (Skills) Review Multiplying three binomials Graphing Linear equation New Graphing cubic function Describe behavior of a function for an interval given (in terms of increasing, or decreasing) Use the interval notation to describe for what values of x the graph is increasing or decreasing Day 3 (Material) Agile Mind Topic 4 *Exploring “quadratic and Cubics” P 1,2,3,6, and 7 Suggested assignment: SAS 3 Q14a-c GP P1-5 Moe Practice P 7 only *skip pages 4,5,8, and 9 However introduce interval notation on slide 3 F-BF.3. Identify the effect on the of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. Day 4 ( Concept) Review Rotation, Reflection New Definition of even and odd functions Definition of Line symmetry symmetry Day 4 ( Skills) Review Rotating shapes on a coordinate plane Reflecting lines over line New Sketching graphs intervals where the function is concave up or down and given the point of inflection Determining whether a function is even or odd graphically Determining whether a function is odd or even algebraically Day 4 (Material) Agile Mind Topic 4 * Exploring “Quadratic and Cubic” P10 - 11 SAS 3 Q15a – c GP 7 – 10 MP pg. only 11 Department provide supplements for identifying even and odd functions algebraically, graphically
Algebra%20II%20Unit%202%20Curriculum%20Guide%20Tier%202.docx