Algebra 2B
Course Description
This course includes the study of properties and operations of the real number system; evaluating rational algebraic expressions; solving graphing first- degree equations and inequalities; translating word problems into equations; operations with and factoring of polynomials; and solving simple quadratic equations. Our units are written based on the Idaho State Standards and are organized according to the suggested course guidelines.
Exponential and Logarithmic Functions
Learn this: I will learn about the growth of both exponential and logarithmic functions and how to solve equations using their inverse relationship.
Do this: I will create a project that demonstrates what I have learned and includes this information:
Explain what scenarios represent an exponential relationship and how to calculate growth or decay for different input intervals
Write exponential equations from two points as well as real life scenarios such as half-life problems
Approximate unknown exponents and evaluate logarithmic expressions using known values and technology
Solve exponential equations with logs or graphs, interpret their intersections, and understand logarithmic functions' real-world applications.
Grow from: I will respond to teacher feedback.
Transformations of Functions
Learn this: I will learn to transform functions using translations, reflections, scale factors, and by combining multiple functions using different representations.
Do this: I will create a project that demonstrates what I have learned and includes this information:
Write equations to describe vertical and horizontal translations and understand the connection between graphs and equations
Identify even and odd functions by their graphs and equations, and complete their graphs given information.
Reflect a graph vertically or horizontally, calculate and describe the scale factor of a function, and write an equation from a description of a graph
Create new functions by combining simpler ones and transform functions to fit a given dataset.
Grow from: I will respond to teacher feedback.
Trigonometric Functions
Learn this: I will use my previous work with functions, trigonometric ratios and circles in Geometry to model periodic scenarios using the coordinate plane.
Do this: I will create a project that demonstrates what I have learned and includes this information:
Use the coordinate plane and trigonometry to determine the coordinates of a point on a clock hand as time passes.
Work with the unit circle and radian angle measurements to understand trigonometric functions.
Graph and analyze trigonometric functions, including transformations and periodic nature.
Apply trigonometric functions to model various situations, including circular motion and periodic phenomena.
Grow from: I will respond to teacher feedback.
Statistical Inferences
Learn this: I will learn how the visual displays and summary statistics I learned in earlier grades relate to different types of data and to probability distributions
Do this: I will create a project that demonstrates what I have learned and includes this information:
Understand statistical questions and study types, emphasizing random selection in surveys and observational studies, and random assignment in experiments.
Analyze data distributions, focusing on the normal distribution as a standardized shape to gain insights about data proportions within intervals.
Analyze experimental study results using data from surveys and observational studies with random samples.
Estimate population means and proportions while considering a margin of error.
Grow from: I will respond to teacher feedback.