Enroll in Algebra 2 with Dolphin STEM Academy

Course Overview and Goals

Algebra 2, Semester B, is a single-semester course designed to cultivate and periodically assess your
subject-matter knowledge while strengthening your mathematical skills. You will begin by studying
exponential and logarithmic equations and functions, discovering relationships and ways these
function types can model real-world situations. Expanding on your knowledge of functions, you will
study how arithmetic and geometric sequences can be used to solve problems. You will also learn
about piecewise functions and their key features, and closely compare the key features of different
function types. This course includes lessons that focus on trigonometric functions and their features,
emphasizing transformations and modeling phenomena. Finally, you will build your understanding
of the key concepts of statistics and probability to investigate sampling techniques and make
inferences from data.

By the end of this course, you will be able to do the following:

Understand the inverse relationship between exponential and logarithmic functions and apply
this relationship to rewrite and interpret expressions and equations.
Solve exponential and logarithmic equations by using graphs, tables, and algebraic techniques.
Interpret the key features of exponential and logarithmic functions using multiple representations.
Create and transform graphs of exponential and logarithmic functions.
Combine and compare functions in multiple representations.
Create and solve systems of equations and inequalities using graphic and algebraic techniques.
Connect the ideas of radian measure and arc length to the trigonometric origins of the unit
circle while also proving and applying the Pythagorean identity.
Create and transform graphs of trigonometric functions.
Interpret the key features of trigonometric functions and apply those features to model
periodic, real-world phenomena.
Compare statistical models with experimental and observational data.
Construct and analyze fair decisions and strategies based on probability concepts and methods.
Fit data to a normal distribution and estimate population percentages and area using the
normal distribution curve.
Evaluate reports based on real-world data for accuracy, bias, and validity.

Scope and Sequence

This document outlines the design of Algebra 2, Semester B, as well as the coverage of the Common
Core State Standards for Mathematics within the course.

Common Core State Standards for Mathematics

UNIT 1: EXPONENTIAL EXPRESSIONS AND EQUATIONS (DAYS 1 – 14)

In this unit, you will explore the relationship between exponential and logarithmic equations. You will
learn to create and solve equations that model real-world situations.

UNIT 2: EXPONENTIAL AND LOGARITHMIC FUNCTIONS (DAYS 15 – 29)

In this unit, you will analyze key features of exponential and logarithmic functions. You will also learn
about sequences and series and how to use them to solve problems.

UNIT 3: PIECEWISE FUNCTIONS (DAYS 30 – 45)

In this unit, you will analyze key features of piecewise functions, build functions consisting of
multiple function types, and compare key features of different functions. You will also explore
approximation techniques and create and solve systems of equations or inequalities.

UNIT 4: TRIGONOMETRIC FUNCTIONS (DAYS 46 – 61)

In this unit, you will learn about the unit circle and key features of trigonometric functions. You will
also graph transformations and interpret key features of trigonometric functions.

UNIT 5: DATA AND SAMPLING (DAYS 62 – 74)

In this unit, you will explore the purpose and structure of statistics, including random sampling,
experiments, and observational studies. You will compare and determine the validity of statistical
models and use data to draw conclusions.

UNIT 6: INFERENCES FROM DATA (DAYS 75 – 90)

In this unit, you will construct and analyze fair decisions and strategies based on probability
concepts, fit data to a normal distribution, and use mean and standard deviation to model sample
and population statistics. You will also compare treatments in experiments, evaluate reports based
on real-world data, and compute proportions and margin of error.