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

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

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

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 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

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

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