CK-12 Foundation
Zeroes and Intercepts of Polynomials: Function Intercepts
There is zero reason not to use the resource. Given a graph with a polynomial function and a linear function, scholars move the line in an interactive. To wrap up the lesson, they note how zeros and intersection points change.
CK-12 Foundation
Restricted Domain and Range: Restricted Circle Radius and Area
There's no restriction to how much your class can learn about domain and range. Users of an interactive adjust the radius of a circle to see its effects on the area. They note how restrictions in the domain (radius) relate to...
CK-12 Foundation
Restricted Domain and Range: Translation of a Curve
Moving the graph of a function obviously changes its domain and range. Scholars adjust the location of a graph in an interactive coordinate plane. The interactive automatically updates and displays the domain and range to show how it...
CK-12 Foundation
Solving Equations with Exponents: Money Over Time
We'd all like to see our money double. An interactive shows how an initial investment of $1,000 will increase using a constant rate of return. Scholars answer a set of challenge questions based on the situation.
CK-12 Foundation
Compound Interest per Period: Credit Card Payment
Credit cards can be convenient, but are they worth it? Future consumers learn about compound interest and credit card payments. They use an interactive to create a table that shows the remaining balance after each month.
CK-12 Foundation
Continuous Interest
Continue teaching your financial scholars about interest. A slider interactive has users investigate the growth of an account earning continuous interest. A set of challenge questions has them solve problems given a variety of situations.
CK-12 Foundation
APR and APY: APR vs. APY
Who wins the battle of the interest rates? Scholars use an interactive to investigate three different bank rates. Comparing APR and APY lets them see how nominal and effective rates differ.
CK-12 Foundation
Even and Odd Functions and Function Symmetry: Even and Odd Functions
Even, odd, or neither? Pupils study even and odd functions using a well-balanced interactive. They determine whether a given function is even or odd from its graph.
CK-12 Foundation
Even and Odd Functions and Function Symmetry: Even and Odd Functions (Symmetry)
Even money states that the resource is good to use. Scholars manipulate an interactive to adjust the portion of a graph to the left of the y-axis. The interactive allows them to switch between even and odd modes that show the right side...
CK-12 Foundation
Find Imaginary Solutions: Imaginary Zeros
The resource is the real deal. Individuals investigate the imaginary zeros of f(x) = x^2 + 1. They accomplish this task by using an interactive that shows input values x = a + bi and output values x^2 + 1 on a complex plane.
CK-12 Foundation
Concept of Limit
There's no limit to how useful the resource can be. Scholars use a slider interactive to investigate limits from graphs. They take both one-sided and two-sided limits into consideration.
CK-12 Foundation
Mode: Kittens
It is not as difficult as herding cats. The short interactive provides a group of kittens to sort according to their colors. Pupils determine the mode of the number of kittens by color. The questions continue with other numbers of...
CK-12 Foundation
Mode: Mucho Money
Generate stacks of money. Given bills of different denominations, pupils stack them based on their values. The learners figure out which value is the mode of the data and determine whether the data is unimodal, bimodal, or multimodal.
CK-12 Foundation
Mean: Harmonic Mean
Let the means live in harmony. With lengths representing the values of a small data set, learners compare the arithmetic mean to the harmonic mean. The pupils determine which value is the most accurate representation of the average of...
CK-12 Foundation
Mode: Boxes of Oranges
See how your data stacks up. Pupils stack crates of oranges in increasing order, creating a simple bar graph. Using the graph, individuals determine measures of center and describe the shape of the distribution. Scholars determine what...
CK-12 Foundation
Coefficient of Variation: Diverse Populations
What is the height of school clubs? Learners use sliders to calculate the coefficient of variation for three different school groups. Using the calculations, class members compare the variation in the heights of the groups.
CK-12 Foundation
Variance of a Data Set
Use variable value sliders to understand variance. The interactive shows four whole numbers, their mean and deviation. Using the information, pupils find the variance of the numbers and respond to question related to the understanding of...
CK-12 Foundation
Basic Trigonometric Limits: Evaluating Limits of tan(x)
Chase a periodic moving limit. Learners graphically determine the limit of the tangent function at different input values. Using sliders, pupils find out whether the tangent function approaches the same value from the left and the right....
CK-12 Foundation
Limits of Polynomial and Rational Functions: Evaluating the Limits of the Quadratic Function
Push an engaging resource to the limit. The interactive allows learners to find a limit on quadratic functions graphically. Using sliders, pupils set the x-value for the limit and to move values from the left and right toward the limit.
CK-12 Foundation
Continuity of a Function: Continuity
Does the point continually move along the graph? Pupils drag a line across two functions to determine whether they are continuous or not. They answer questions about the properties of continuous and discontinuous functions. Using their...
CK-12 Foundation
Analyzing the Graphs of Functions: Analyzing a Rational Function
Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...
CK-12 Foundation
Antiderivative: Piecing it Together
Build a function backwards. Given a graph of the derivative of a function, pupils piece together a graph of the original function, the antiderivative. Learners use their graphs and the graphs of the derivatives to answer questions about...
CK-12 Foundation
Continuity at a Point, Continuity Test, Types of Discontinuity: Properties of Continuous Functions
Take a closer look at continuous functions within given intervals. Using the parent cubic function, learners explore properties of continuous functions on intervals. Pupils interpret the Intermediate Value Theorem and the Extreme Value...
CK-12 Foundation
Constant, Identity, and Power Rules: Power Rule
Learn to gain power in finding derivatives. The resource introduces the power rule. Using the sliders in the interactive, pupils create polynomial functions and find their derivatives. Given the derivative of a polynomial, learners...