CK-12 Foundation
Ck 12: Algebra Ii: 5.7 Margin of Error
This section introduces the concept of Margin of Error. Explore how results from surveys are most accurate within a range of values, and use this concept to make inferences about the preferences of a full population, given data from a...
CK-12 Foundation
Ck 12: Algebra Ii: 5.6 Observational Studies, Experiments, and Surveys
This section explores how to design and conduct surveys that accurately reflect the perspectives of a larger group of people by identifying unbiased sample groups and by writing unbiased questions.
CK-12 Foundation
Ck 12: Algebra Ii: 4.4 Radians
This section introduces radians an alternative to degrees as a way to measure the rotation around a circle. It also begins to draw connections between radians and trigonometric identities.
CK-12 Foundation
Ck 12: Algebra Ii: 4.2 Right Triangle Trig Extended to Circles With a Model
This section explores the relationship between right triangles, circles, and trigonometry. It investigates how a right triangle that is set inside a circle and rotates around the circle is connected to trigonometric functions and their...
CK-12 Foundation
Ck 12: Algebra Ii: 4.1 Revisiting Right Triangle Trigonometry
Use this tutorial to revisit right triangle trigonometry.
CK-12 Foundation
Ck 12: Algebra Ii: 5.4 Standard Deviation
Explore what the standard deviation is as it relates to the graph of a normal distribution curve.
CK-12 Foundation
Ck 12: Algebra Ii: 5.2 Probability
In this section, students will explore different methods for determining the probability of complex events and conditional probabilities (such as unions, intersections, and complements).
CK-12 Foundation
Ck 12: Algebra Ii: 5.1 Sample Spaces and Probability
This section explores how to determine the sample space, or possible outcomes, for an event such as rolling dice. It also investigates how to determine the probability of different outcomes occurring for an activity such as flipping a...
CK-12 Foundation
Ck 12: Algebra Ii: 4.8 Pythagorean Identities
This section explores the Pythagorean Identity and how it applies to right triangles set inside unit circles, in terms of sine, cosine, and tangent functions.
CK-12 Foundation
Ck 12: Algebra Ii: 4.6 Transformations of Trigonometric Functions
Explore how changes to the equations of sine and cosine functions affect the graphs of the functions through transformations (stretches and shifts).
CK-12 Foundation
Ck 12: Algebra Ii: 4.5 Graphing Sine and Cosine
This section explores the graphs of sine and cosine functions. It investigates how these graphs are related to coordinates for different angles in a unit circle.
CK-12 Foundation
Ck 12: Algebra Ii: 3.8 Solving Logarithmic Equations
This section addresses how to solve different types of logarithmic equations. It explores how to condense expanded equations and how to convert logarithmic equations into exponential ones.
CK-12 Foundation
Ck 12: Algebra Ii: 3.7 Properties of Logs
This section explores the properties of logs. More specifically, it investigates how to apply these properties to simplify and expand logarithmic expressions, and to convert between expressions in logarithmic and exponential forms.
CK-12 Foundation
Ck 12: Algebra Ii: 3.6 Transformations of Log Functions
This section explores the many ways that logarithmic functions can be transformed, and how those transformations cause their graphs to be translated in different ways.
CK-12 Foundation
Ck 12: Algebra Ii: 3.5 Using Logs to Solve Exponential Functions
This section explores logarithms as operations that are the inverse of exponents. It investigates the process for "undoing" or "eliminating" variable exponents when solving exponential equations.
CK-12 Foundation
Ck 12: Algebra Ii: 3.9 the Transcendental Number E and Natural Log
This section introduces the transcendental number e which is a special number that is considered a natural base. In addition to exploring how to simplify and solve equations with e, this section also investigates how it can be used to...
CK-12 Foundation
Ck 12: Algebra Ii: 2.1 Multiplying Rational Expressions
This section explores several different approaches for multiplying two rational expressions stated as fractions.
CK-12 Foundation
Ck 12: Algebra Ii: 1.14 Polynomial Models
Learning to express real-life situations as mathematical functions (models) allows seemingly complex ideas and actions to be broken down into smaller, simpler parts and analyzed. In this section are three types of of those models:...
CK-12 Foundation
Ck 12: Algebra Ii: 1.11 Dividing Polynomials
There are a variety of methods that can be used to divide polynomials. This section will explore the process of using a couple of these methods, as well as when to use one versus another and why.
CK-12 Foundation
Ck 12: Algebra Ii: 1.10 Pythagorean Triples
This section explores right triangles with three lengths that are considered Pythagorean Triples, and also investigates how some right triangles can have lengths that are not Pythagorean Triples.
CK-12 Foundation
Ck 12: Algebra Ii: 1.9 Sum and Difference of Cubes
This section expands on the process of factoring to certain types of polynomials. In particular, it investigates how to find the sum and difference of cubed numbers and terms, and it will use volume of cubes to model this process.
CK-12 Foundation
Ck 12: Algebra Ii: 1.8 Multiplying Polynomials
This section explores the process of multiplying polynomials, and applies this process to real-life models.
CK-12 Foundation
Ck 12: Algebra Ii: 1.6 the Complex Plane
This section includes operations with imaginary and complex numbers and plotting numbers on the complex plane.
CK-12 Foundation
Ck 12: Algebra Ii: 1.3 Domain and Range of a Function
This section will explore how to determine the domain and range of a function as well as to find the restrictions for the domain and range.