Course Syllabus

Syllabus Algebra 2B

Mizzou Academy

 Welcome

We are pleased that you selected this course to fulfill your unique educational needs. You are now a member of the Mizzou  Academy's global student body.  

 Course Overview

This course continues from Algebra 2A.

Prerequisites: Successful completion of Algebra I and Geometry, and Algebra 2A.

The principal goal of this course is to lay a foundation for College Algebra. If there is a topic that you are not completely confident about, spend more time on it. The remainder of the course builds on the foundation laid in Algebra I. 

Lead Teacher Introduction

  Brennan Ransdell

  Teacher

  RansdellB@mail.missouri.edu

  Mathematics Division Chair

 Course Objectives

The objectives of this course are that students will be able to:

Lesson 1

1.1a Simplify expressions with roots
1.1b Estimate and approximate roots
1.1c Simplify variable expressions with roots
1.2a Use the Product Property to simplify radical expressions
1.2b Use the Quotient Property to simplify radical expressions
1.3a Simplify expressions with
1.3b Simplify expressions with
1.3c Use the properties of exponents to simplify expressions with rational exponents

Lesson 2

2.1a Add and subtract radical expressions
2.1b Multiply radical expressions
2.1c Use polynomial multiplication to multiply radical expressions
2.2a Divide radical expressions
2.2b Rationalize a one term denominator
2.2c Rationalize a two term denominator
2.3a Solve radical equations
2.3b Solve radical equations with two radicals
2.3c Use radicals in applications
2.4a Evaluate a radical function
2.4b Find the domain of a radical function
2.4c Graph radical functions

Lesson 3

3.1a Solve quadratic equations of the form ax² = k using the Square Root Property
3.1b Solve quadratic equations of the form a(x – h)² = k using the Square Root Property
3.2a Complete the square of a binomial expression
3.2b Solve quadratic equations of the form by completing the square
3.2c Solve quadratic equations of the form by completing the square
3.3a Solve quadratic equations using the Quadratic Formula
3.3b Use the discriminant to predict the number and types of solutions of a quadratic equation
3.3c Identify the most appropriate method to use to solve a quadratic equation
3.4a Solve quadratic equations in quadratic form
3.5a Solve applications modeled by quadratic equations

Lesson 4

4.1a Recognize the graph of a quadratic function
4.1b Find the axis of symmetry and vertex of a parabola
4.1c Find the intercepts of a parabola
4.1d Graph quadratic functions using properties
4.1e Solve maximum and minimum applications
4.2a Graph quadratic functions of the form f(x) = x² + k
4.2b Graph quadratic functions of the form f(x) = (x – h)²
4.2c Graph quadratic functions of the form f(x) = ax²
4.2d Graph quadratic functions using transformations
4.2e Find a quadratic function from its graph
4.3a Solve quadratic inequalities graphically
4.3b Solve quadratic inequalities algebraically

Lesson 5

5.1a Find and evaluate composite functions
5.1b Determine whether a function is one-to-one
5.1c Find the inverse of a function
5.2a Graph exponential functions
5.2b Solve exponential equations
5.2c Use exponential models in applications
5.3a Convert between exponential and logarithmic form
5.3b Evaluate logarithmic functions
5.3c Graph logarithmic functions
5.3d Solve logarithmic equations
5.3e Use logarithmic models in applications
5.4a Use the properties of logarithms
5.4b Use the Change of Base Formula
5.5a Solve logarithmic equations using the properties of logarithms
5.5b Solve exponential equations using logarithms
5.5c Use exponential models in applications

Lesson 6

6.1a Use the Distance Formula
6.1b Use the Midpoint Formula
6.1c Write the equation of a circle in standard form
6.1d Graph a circle
6.2a Graph vertical parabolas
6.2b Graph horizontal parabolas
6.2c Solve applications with parabolas
6.3a Graph an ellipse with center at the origin
6.3b Find the equation of an ellipse with center at the origin
6.3c Graph an ellipse with center not at the origin
6.3d Solve applications with ellipses
6.4a Graph a hyperbola with center at the origin
6.4b Graph a hyperbola with center (h, k)
6.4c Identify conic sections by their equations
6.5a Solve a system of nonlinear equations using graphing
6.5b Solve a system of nonlinear equations using substitution
6.5c Solve a system of nonlinear equations using elimination
6.5d Use a system of nonlinear equations to solve applications

Lesson 7

7.1a Identify and differentiate between populations and samples
7.1b Identify and differentiate between statistics and parameters
7.1c Identify and differentiate between variables and data
7.2a Identify and differentiate between quantitative and qualitative data
7.2b Identify and differentiate between quantitative discrete and quantitative continuous data
7.2c Identify appropriate graphs for qualitative data
7.2d Identify types of samples
7.3a Identify and differentiate between levels of measurement
7.3b Find frequencies, relative frequencies, and cumulative relative frequencies
7.4a Identify explanatory and response variables in experiments
7.4b Identify treatments in experiments
7.4c Identify lurking variables in experiments
7.4d Differentiate between observational studies and experiments

Lesson 8

8.1a Determine quartiles and interquartile range (IQR)
8.1b Identify outliers
8.1c Determine percentiles
8.2a Determine the mean of a sample and population
8.2b Determine the median of a sample and population
8.2c Determine the mode of a sample and population
8.3a Determine the standard deviation of a sample and population
8.3b Determine z-scores to compare values from different data sets
8.4a Determine z-scores to determine standard deviations from the mean in normal distributions
8.4b Apply the Empirical Rule to determine the values within percentages from the mean
8.5a Find the probability of ranges of values in a normal distribution
8.5b Find the percentile of values in a normal distribution

Lesson 9

9.1a Identify and describe sample spaces and events
9.1b Find basic probabilities (including conditional)
9.2a Identify independent events
9.2b Identify mutually exclusive events
9.2c Determine the probability of events in simple experiments Find the least common denominator of rational expressions
9.2d Determine conditional probabilities
9.3a Apply the multiplication rule to find probabilities
9.3b Apply the addition rule to find probabilities

Lesson 10

10.1a Calculate the confidence interval for a population mean (known standard deviation)
10.1b Interpret the confidence interval for a population mean (known standard deviation)
10.1c Calculate error bound (margin of error) for a population mean (known standard deviation)
10.2a Calculate the confidence interval for a population mean (unknown standard deviation)
10.2b Interpret the confidence interval for a population mean (unknown standard deviation)
10.2c Calculate error bound (margin of error) for a population mean (unknown standard deviation)
10.3a Calculate the confidence interval for a population proportion
10.3b Calculate error bound (margin of error) for a population proportion
10.3c Calculate the sample size needed for a specific error bound (margin of error)

 Required Materials

There is no textbook for this course.

A graphing calculator is helpful but not required for the course, and its use is NOT ALLOWED on the midterm and final exams. A basic calculator is strongly suggested.

 Technical Requirements

The most up-to-date requirements can be found here: 

•   Computer Requirements
•   Browser Requirements
•   Proctoring Requirements
• Microphone (external or internal)
• Webcam

Additional requirements for the course are below: 

• audio and video recording capabilities (e.g. smartphone, camera)

 Accessibility

If you anticipate barriers related to the format or requirements of this course, please let   Mizzou Academy know as soon as possible. If disability-related accommodations are necessary (for example, a scribe, reader, extended time on exams, captioning), please   contact Mizzou Academy.

 Exams

You are required to take two proctored exams for this course.

See the "About Exams" in the policies section for additional information on exams at Mizzou Academy.

 Grades

Your final grade will be based on the number of points you earn on assignments and exams.

Note: All scores (and thus percentages) are truncated DOWN. For example, earning 524.999 points would result in a percentage of 69%, or a D in the course.

After completing the course, unofficial transcripts will be available in the Tiger Portal. See   this page for information on requesting official transcripts. 

 Canvas and Technical Support

Canvas will be used as the primary platform for accessing course materials and assignments for this class.

• Access Canvas through the Tiger Portal   https://mizzouacademy.missouri.edu/
• For assistance with Canvas, passwords, or other technical issues, submit a ticket by selecting Help from the Global Navigation menu on the left in Canvas. Additional information is provided in the following Canvas Guide:   How do I get help with Canvas as a student?
• For questions about enrollment, access to courses, exam proctoring, or billing, contact our Support Services Team at (855) 256-4975 or   mizzouacademy@missouri.edu.