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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
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...
CK-12 Foundation
Slope of a Tangent Line: Slope of the Tangent and Secant Lines
Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...
CK-12 Foundation
Properties of Definite Integrals
Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....
CK-12 Foundation
Finding the nth Term Given the Common Ratio and the First Term: Dominoes
Topple misunderstandings of geometric sequences. Using a context of creating ever-increasing sizes of dominoes, pupils develop a geometric sequence. The scenario provides the size of the first domino and the common ratio between...
CK-12 Foundation
Sequence: The Sequence Calculator
Work through a sequence in discovering number patterns. Using the interactive, pupils explore arithmetic and geometric sequences by setting the initial value and the common difference or ratio. Learners distinguish between the two types...
CK-12 Foundation
Change of Base: River Logs
Using the answers to the challenge questions, class members work through simplifying a complex logarithmic expression that requires changing bases. Pupils drag values to fill in the steps to arrive at a numerical equivalent expression.
CK-12 Foundation
Solving Logarithmic Equations
Pupils follow a chain of reasoning in deconstructing a logarithmic equation step by step. Using their knowledge of logarithms, learners compare the solutions of logarithmic equations when the bases are changed.
CK-12 Foundation
Circles Centered at the Origin: The Map of the Beta Solar System
Calculate galactic orbits in a far-out resource. Pupils drag a point on a circle to graph the orbit of a fictional planet. Using the equation, they find points through which the orbit passes. To finish the simulation, users determine the...
CK-12 Foundation
Parametric Equations: Protecting the Village
Determine the location of the pillars in time. Given a table of values for two parametric equations, pupils complete the table to determine the location and time it takes to build the pillars. Learners plot the points representing...
CK-12 Foundation
Fraction Comparison with Lowest Common Denominators: Oranges and Blood Oranges
Comparing fractions is the focus of a five-question interactive in which mathematicians use oranges to answer real-world multiple-choice, true or false, and discussion questions.
CK-12 Foundation
Percents as Decimals
In some cases, decimals are just easier to work with. An easy-to-use interactive shows how to convert percents to decimals. It then challenges learners to answer a set of questions, some of which include percents that are greater than...
CK-12 Foundation
Overview of Percents: Play Checkers
Bet classes didn't know playing checkers help with understanding percents. An interesting interactive has pupils consider a series of moves in checkers. It then requires them to answer a set of challenge questions on percentages...
CK-12 Foundation
Proportions and Scale: Problem Solving Plan, Proportions
Slide into a lesson on proportions. A slider interactive lets users adjust three of the four values in a proportion and automatically updates the fourth value. Scholars use the interactive to help answer a set of challenge questions on...
CK-12 Foundation
Equivalent Fractions
An interactive made up of five questions tests scholars' knowledge of equivalent fractions. Two fraction circles with moveable parts assist mathematicians in finding solutions. Questions are multiple-choice with one discussion.
CK-12 Foundation
Decimals as Mixed Numbers
Five questions—multiple-choice, true or false, and a discussion—make up an interactive that focuses on decimals as mixed numbers. Moveable blocks assist scholars in finding solutions.
CK-12 Foundation
Decimals as Mixed Numbers
A five-question interactive boosts scholars' knowledge of decimals and mixed numbers. Moveable base 10 blocks assist mathematicians in answering a series of multiple-choice and true or false questions. A discussion concludes the...
CK-12 Foundation
Whole Number Exponents: Building Blocks
Five questions make up an interactive all about whole-number exponents. Movable building blocks create a visual tool to aide mathematicians in answering multiple-choice and true or false problems. The interactive ends with a discussion...
CK-12 Foundation
Products of Two Fractions: Blocks
Five questions make up an interactive designed to boost the multiplication of fraction skills. An assortment of color-coded fraction blocks assists participants to find the right answer. Question types include multiple-choice and fill in...
CK-12 Foundation
Expression Evaluation with Different Denominators: Adding Mixed Fractions of Water
An interactive challenges mathematicians to add mixed fractions with unlike denominators. Five questions—fill-in-the-blank and multiple-choice—build from one to the next leading the way to an open discussion about denominators and...
CK-12 Foundation
Estimation to Check Decimal Multiplication: Watering a Garden
Mathematicians solve six multiple-choice and true or false questions using their knowledge of estimation and multiplying decimals. The interactive provides a garden-themed tool that creates a visual aid of three watering cans to assist...
Curated OER
El Salvador: Whose Breakfast Isn't for the Birds?
Sixth graders investigate the understanding of where coffee is grown by conducting a survey. They study the natural history of coffee and examine bird habitats in the areas where coffee is grown. They write letters to explaining the...
Curated OER
Mixing Fertilizer
Your young landscapers do concentration calculations in this problem dealing with mixing fertilizer. Learners use and analyze rational expressions within this context.