Math Hammy

10 Lessons, 20 PowerPoints, 10 Videos 12-1Sampling Techniques (1 – Day Lesson)12-2Simulations (1 – Day Lesson) 12-3Methods of Data Collection (1 – Day Lesson) 12-4The Normal Distribution and the Empirical Rule (1 – Day Lesson) 12-5Area under the Normal Distribution Curve (1 – Day Lesson) Learning GoalLearning Goal 25: Students will be able to define the study of statistics and how statistical research is conducted, create a model for obtaining a sample and defend why the model will g

16 Lessons32 PowerPoints 16 Videos 11.1: Graphing Quadratic Functions11.2: Transformations of Quadratic Functions11.3: Solving Quadratics by Graphing11.4: solving Quadratics by Square Roots and Factoring11.5: Solving Quadratics by Completing the Square11.6: Solving Quadratics by the Quadratic Formula11.8: Modeling and Curve Fitting - Linear, Exponential, and Quadratic3.5: Shapes of Graphs11.9: Combining Functions

3-Day Lesson: Day 1: PPT: 17 slides, Annotated PPT: 17 slides, Video: 22 minutes Day 2: PPT: 23 slides, Annotated PPT: 23 slides, Video: 35 minutes Day 3: PPT: 12 slides, Annotated PPT: 12 slides, Video: 23 minutes Objectives(Explanation of Standards)·Solve an exponential equation by re-writing both sides of the equation so that the bases are equal, then setting the exponents equal to each other. ·Solve an exponential equation by converting it into a logarithmic equation. ·Solve

14 Lessons, 28 PowerPoints, 14 Videos 1.1Graphs and Graphing Utilities (1 – Day Lesson)2.1Basics of Functions and Their Graphs (2 – Day Lesson) 1.5Quadratic Equations (4 – Day Lesson) 3.1Quadratic Functions (2 – Day Lesson) 2.5Transformations of Functions (1 – Day Lesson) 10.3The Parabola (2 – Day Lesson) 8.4Systems of Nonlinear Equations in Two Variables (1 – Day Lesson) Learning GoalsLearning Goal 4: Students will be able to graph functions using tables and graphing techn

- 6 Lessons - 12 PowerPoints - 6 Videos 3.1: Representing Relations (2-day lesson) 3.2: Functions (1-Day lesson) 3.3: Linearity and Continuity of Graphs (1-Day Lesson) 3.4: Intercepts of Graphs (2-Day Lesson)

5 Lessons10 PowerPoints 6 videos 5.1: Writing Equations in Slope-Intercept Form5.2: Writing Equations in Standard and Point-Slope Form5.3: Scatter Plots and Lines of fit5.5: Linear Regression (with and without graphing calculator)

- Sine and cosine functions - Amplitude, period, frequency - Transformation of sine and cosine functions - Graphing sine and cosine functions - construct a sinusoid given the amplitude and period that goes through a given point - state the amplitude and period of the sinusoid, and (relative to the basic function) the phase shift and vertical translation - constructing a sinusoidal model using time (tide) - applications involving sine and cosine functions - Tangent and cotangent Functions - Graph

- Identifying Polynomial Functions and their degrees - write a LINEAR equation given two ordered pairs - average rate of change - vertex from of a quadratic equation - Matching quadratic equation to their graphs - Graphing a quadratic function in vertex form- - Finding the vertex and axis of symmetry of a quadratic function - Rewriting a quadratic equation in Vertex Form by Completing the Square - Writing the equation from the graph of a quadratic function - Application of quadratic functions-

12 Lessons, 24 PowerPoints, 12 Videos 5.1Angles and Radian Measure (2 – Day Lesson)5.2Right Triangle Trigonometry (2 – Day Lesson) 5.3Trigonometric Functions of any Angle (3 – Day Lesson) 5.5Graphs of Sine and Cosine Functions (3 – Day Lesson) 5.8Applications of Trigonometric Functions (2 – Day Lesson) Learning GoalLearning Goal 21: Students will be able to understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle and use the unit circle t

10 Lessons, 20 PowerPoints, 10 Videos 4.1Exponential Functions (2 – Day Lesson)4.2Logarithmic Functions (3 – Day Lesson) 4.4Exponential and Logarithmic Equations (3 – Day Lesson) 4.5Exponential Growth and Decay; Modeling Data (2 – Day Lesson) Learning GoalLearning Goal 15: Students will be able to graph exponential functions. Learning Goal 16: Students will be able to find the inverse of exponential functions by converting to logarithmic functions and graph logarithmic function

11 Lessons, 22 PowerPoints, 11 Videos 2.2 cont.More on Functions and their Graphs (3 – Day Lesson)2.4More on Slope (1 – Day Lesson) C.F.Comparing Functions (2 – Day Lesson) 2.6Combinations of Functions; Composite Functions (3 – Day Lesson) 2.7Inverse functions (2 – Day Lesson) Learning GoalLearning Goal 19: Students will be able to analyze, compare and interpret the general behavior of functions and their graphs Learning Goal 20: Students will be able to combine equations of fu

8 Lessons 16 PPTS 8 Videos 4.1: Graphing Linear Functions 4.2: Rate of Change and slope 4.3: Slope-Intercept Form 4.4: Transformations of Functions 4.5: Arithmetic Sequences

1-Day Lesson: PPT: 17 slides, Annotated PPT: 17 slides, Video: 35 minutes, Homework: 6 slides Objectives(Explanation of Standards)·Use the mean and standard deviation of a data set and the Empirical Rule (68% - 95% - 99.7% Rule) to fit it to a Normal distribution and estimate percentages. ·Understand that only bell-shaped curves are a possible fit for Normal distribution, but not all bell-shaped curves are Normal distributions. NOTE: Do NOT use the term “Normal” to refer to th

7 Lessons14 PowerPoints 7 Videos 12.1: Measures of Center12.2: Representing Data12.4: Measures of Spread12.5: Distributions of Data12.6: Comparing Sets of Data12.7: Summarizing Categorical Data

3-Day Lesson:Day 1: PPT: 15 slides, Annotated PPT: 15 slides, Video: 27 minutes Day 2: PPT: 14 slides, Annotated PPT: 14 slides, Video: 25 minutes Day 3: PPT: 23 slides, Annotated PPT: 23 slides, Video: 32 minutes Students will be able to:·Factor a polynomial by: •dividing each term by the Greatest Common Factor (GCF) and writing the expression as a distributive property. •factoring a trinomial in which a = 1 •Factoring a trinomial in which a≠1 •recognizing when a polynomial can first be factor

Students will be able to Identify linear and nonlinear functions and continuous and discrete functions.1-Day Lesson:PPT: 39 slides, Annotated PPT: 39 slides, Video: 40 Minutes

Students will be able to solve quadratic equations by factoring and by using the square root property.2-Day Lesson:Day 1: PPT: 30 slides, Annotated PPT: 30 slides, Video: 50 Minutes Day 2: PPT: 19 slides, Annotated PPT: 19 slides, Video: 45 Minutes

Students will be able to compare and model data with linear, exponential, and quadratic functions.2-Day Lesson:Day 1: PPT: 23 slides, Annotated PPT: 23 slides, Video: 49 Minutes Day 2: PPT: 8 slides, Annotated PPT: 8 slides, Video: 36 Minutes, Homework: 3 slides

2-Day Lesson: Day 1: PPT: 20 slides, Annotated PPT: 20 slides, Video: 36 minutes Day 2: PPT: 22 slides, Annotated PPT: 22 slides, Video: 28 minutes Objectives (Explanation of Standards)•Understand that the graph of a quadratic function is a parabola. •Know that the standard form of a quadratic function is • y=a(x – h)²+k, where: •The vertex is the ordered pair ( h, k). •if a > 0, the parabola opens up (the vertex if the minimum value) •if a < 0, the para

- Graphing parametric equations on a graphing calculator - Graphing parametric equations by hand - Eliminate the parameter and identify the graph of the parametric curve - Eliminate the parameter to obtain the rectangular equation for the curve and Plot the points to graph the curve - Finding Parametric Equations for a line or line segment - Finding Parametric Equations for a circle - Applications involving parametric equations