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
Logarithmic Differentiation: Graphing the Derivative of a Logarithm
Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...
CK-12 Foundation
Recursive Formulas: Fibonacci Sequence
Explore the building blocks of the Fibonacci Sequence. Given the lengths of sides of squares, pupils deduce the pattern to determine the lengths of two more squares. Learners continue to work with recursive formulas to generate numerical...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 1)
Put a squeeze on a sequence. An interactive provides a graphical display of a sequence. Using the graph, learners determine the algebraic expression for the sequence. Pupils use the general definition of a limit of a sequence to find the...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 2)
What does it mean if young mathematicians cannot put the squeeze on a sequence? Learners investigate a divergent sequence and find the formula for the nth term. Using the definition of a limit of a sequence, pupils try to find the limit...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 3)
Limit the view of sequences on both sides of the axis. Learners explore an alternating sign sequence. Using a graphical display of the first 10 terms of the sequence, pupils determine the formula for the general term. they then use the...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 4)
Take a look at another alternating sequence. The resource provides a graphical display of a sequence that alternates between two values. Pupils use the display to determine whether the sequence has a limit. Given a theory of limit,...
CK-12 Foundation
Equations of Circles: Finding the Equation of a Circle
It's all about location and size. With the aid of the interactive, pupils explore the relationship between the location and size of a circle and its equation. The learners use that relationship to determine the equation of a circle given...
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
Circles Centered at the Origin: Dog
How many bones can a dog on a leash reach? Class members move a dog on the end of its leash and determine whether it can reach bones located at specific points. The learners see whether the bone lies on the circle or outside of the...
CK-12 Foundation
Circles Not Centered at the Origin: Room Rearranging
Where does a circular table fit best? Individuals move a circle representing a table into different quadrants of a room. Pupils determine which equation of the circle will place the table in the appropriate quadrant. A discussion...
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
Prime and Composite Numbers
Nine true or false, multiple-choice, and discussion questions make up an interactive designed to reinforce scholars' knowledge of prime and composite numbers. A number chart reveals every prime number through 100.
CK-12 Foundation
Sums of Integers with Different Signs: Adding Between 10 and -10
Six questions make up an interactive designed to boost scholars' knowledge of integers. Mathematicians move symbols over a horizontal number line to aid in findings answers between 10 and negative 10. Question types include...
CK-12 Foundation
Estimation of Whole Number Multiplication and Division: Lettuce Garden
Estimating whole number multiplication and division is the focus of an interactive that uses a garden plot with moveable points to answer six questions.
CK-12 Foundation
Values Written as Powers: Binary Numbers 25 to 31
A five-question interactive boosts proficiency in working with binary numbers. Multiple-choice, short answer, and discussion questions challenge mathematicians to write numbers 25 through 31in exponential and binary form. An adjustable...
CK-12 Foundation
Prime Factorization: Chocolate Chip Factoring
An interactive resource challenges mathematicians to show what they know about prime factorization. Five multiple-choice, true or false, and discussion questions use chocolate chip cookies to set a real-world application of the...
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
Whole Number Multiplication: Parity of Zero
An interactive provides five questions that challenge scholars to decide whether integers are even or odd parity. A table assists problem solving with movable numbers that plug into equations and reveal the given parity. Question types...
CK-12 Foundation
Addition of Integers: Number Blocks
A five-question interactive provides a horizontal number line where integers are stacked on top of one another to find solutions of addition problems. Mathematicians move numbers to the numbers line, as numbers build higher, the sum of...
CK-12 Foundation
Integer Division: Dropping Anchor
An interactive made up of five questions challenges mathematicians to divide integers and reflect on division properties. A moveable anchor aids in problem-solving. Question types include multiple-choice, true or false, and...
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...