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Sheryl Ezze

Michigan State University

Biography

I graduated with a BS from Michigan State University in 1983 with High Honors (4.0) with a major in Mathematics Educations and a minor in Physical Science. I earned my MA from Michigan State University in Curriculum and Instructions in 1986. I taught mathematics at DeWitt High School in DeWitt MI for 36 years. I taught every level of math during those years: Basic Math, Algebra I, Geometry, Algebra 2, Trigonometry, Functions & Statistics, Precalculus, AP Statistics and AP Calculus AB. I retired from teaching in June 2020.

Education

BS Math Education
Michigan State University
MA Curriculum and Instruction
Michigan State University

Topics Covered

Functions
Trigonometry
Equations and Inequalities
Introduction to Trigonometry
Quadratic Functions
Systems of Equations and Inequalities
Introduction to Conic Section
Algebra and Trigonometry
Descriptive Statistics
Probability Topics
Sampling and Data
Confidence Intervals
Derivatives
Differentiation
Functions
Series
Introduction to Sequences and Series
The Normal Distribution
Introduction to Combinatorics and Probability
An Introduction to Geometry
The Language of Algebra
Rational Functions
Introduction to Conic Sections
Differential Equations
Introduction to Sequences and Series
Right Triangles
Circles
Applications of Trigonometric Functions
Graphing Trigonometry Functions
Polynomials
Linear Regression and Correlation
Probability and Counting Rules
The Nature of Probability and Statistics
Confidence Intervals and Sample Size
Correlation and Regression
Testing the Difference Between Two Means, Two Proportions, and Two Variances
Hypothesis Testing with One Sample
Polar Coordinates
Quadratic Equations
Exponential and Logarithmic Functions
Exponents and Polynomials
Graphs and Statistics
Decimals
Linear Functions
Introduction to Matrices
Complex Numbers
Linear Equations and Functions
Linear Equations and Inequalities
Percent
Ratio, Proportion, and Measurement
Introduction to Algebra
Solve Linear Inequalities
Graph Linear Functions
Vectors
Algebra Topics That are Reviewed at the Start of the Semester
Introduction to Combinatorics and Probability
Introduction to Vectors
Parametric Equations
Geometry Basics
Matrices
Congruent Triangles
Hypothesis Testing with Two Samples
The Central limit Theorem
Sampling and Simulation
Integration Techniques
Partial Derivatives
Functions of Several Variables
Area and Perimeter
Parallel and Perpendicular lines
Limits
Fractions and Mixed Numbers
The Integers
Vector Functions
Probability
inverse functions
Integrals
Integration
Applications of Integration
Polygons
Relationships Within Triangles
Geometric Proof
Properties of Quadrilaterals
Similarity
Surface Area
Volume
Transformations
Logic
Systems and Matrices
Discrete Random Variables
Continuous Random Variables
Sequences and Series
Algebra
Sequences
The Normal Distribution
The Chi-Square Distribution
Discrete Probability Distributions
Hypothesis Testing
Applications of the Derivative
Experiment
Vector Calculus
Other Chi-Square Tests
Multivariable Optimization
CHI-SQUARE TESTS AND THE F-DISTRIBUTION
SAT Math - Geometry
Analysis of Variance

Sheryl's Textbook Answer Videos

04:34
Precalculus with Limits

From 1950 through 2005, the per capita consumption $ C $ of cigarettes by Americans (age 18 and older) can be modeled by $ C = 3565.0 + 60.30t - 1.783t^2, 0 \le t \le 55 $, where $ t $ is the year, with $ t = 0 $ corresponding to 1950.

(a) Use a graphing utility to graph the model.
(b) Use the graph of the model to approximate the maximum average annual consumption. Beginning in 1966, all cigarette packages were required by law to carry a health warning. Do you think the warning
had any effect? Explain.
(c) In 2005, the U.S. population (age 18 and over) was 296,329,000. Of those, about 59,858,458 were
smokers. What was the average annual cigarette consumption per smoker in 2005? What was the
average daily cigarette consumption per smoker?

Chapter 2: Polynomial and Rational Functions
Section 1: Quadratic Functions and Models
Sheryl Ezze
05:27
Precalculus with Limits

An open box with locking tabs is to be made from a square piece of material 24 inches on a side. This is to be done by cutting equal squares from the corners and folding along the dashed lines shown in the figure.

(a) Write a function $ V(x) $ that represents the volume of the box.
(b) Determine the domain of the function $ V $.
(c) Sketch a graph of the function and estimate the value of for which $ V(x) $ is maximum.

Chapter 2: Polynomial and Rational Functions
Section 2: Polynomial Functions of Higher Degree
Sheryl Ezze
04:16
Precalculus with Limits

The table shows the average daily high temperatures in Houston $ H $ (in degrees Fahrenheit) for month $ t $, with $ t = 1 $ corresponding to January. (Source: National Climatic Data Center)

(a) Create a scatter plot of the data.

(b) Find a cosine model for the temperatures in Houston.

(c) Use a graphing utility to graph the data points and the model for the temperatures in Houston. How well does the model fit the data?

(d) What is the overall average daily high temperature in Houston?

(e) Use a graphing utility to describe the months during which the average daily high temperature is above $ 86^\circ $ and below $ 86^\circ F $.

Chapter 5: Analytic Trigonometry
Section 3: Solving Trigonometric Equations
Sheryl Ezze
04:00
Precalculus with Limits

TRUSSES $Q$ is the midpoint of the line segment $\overline{PR}$ in the truss rafter shown in the figure. What are the lengths of the line segments $\overline{PQ}$, $\overline{QS}$, and $\overline{RS}$?

Chapter 6: Additional Topics in Trigonometry
Section 2: Law of Cosines
Sheryl Ezze
01:27
Precalculus with Limits

Fill in the blank to complete the trigonometric formula.

$ \cos u - \cos v $ = ________

Chapter 5: Analytic Trigonometry
Section 5: Multiple-Angle and Product-to-Sum Formulas
Sheryl Ezze
02:19
Precalculus with Limits

When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure). The radius of each arc $ r $ (in feet) and the angle $ \theta $ are related by

$ \dfrac{x}{2} = 2r \sin^2 \dfrac{\theta}{2} $

Write a formula for $ x $ in terms of $ \cos \theta $.

Chapter 5: Analytic Trigonometry
Section 5: Multiple-Angle and Product-to-Sum Formulas
Sheryl Ezze
1 2 3 4 5 ... 1085

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