CK-12 Foundation
Greatest Common Factor Using Factor Trees
Beginning with a description that sets the stage, learners are asked to break down the numbers 42 and 63 to find the greatest common denominator using factor trees. As they work through the factoring process, young mathematicians are...
CK-12 Foundation
Division of Rational Expressions: Step by Step
Division just got a little trickier! An interactive lesson highlights the steps of dividing two rational expressions. Young scholars determine the order of the steps from a bank of possible work.
CK-12 Foundation
Domain, Range, and Signs of Trigonometric Functions: Sine and Cosine
Is there a relationship between the sign of sine and cosine and the angle on the unit circle? Scholars use an interactive to see the value of sine and cosine within different quadrants. they then use the information to determine the...
CK-12 Foundation
Conversion between Degrees and Radians: Clock Angles and Measures
It's 3:30, what radian is it? Pupils create clock angles on a clock and determine the radian measure to the minute hand. They then use a conversion factor to convert from one measurement to another.
CK-12 Foundation
Conversion between Degrees and Radians: Arc and Radians Relationship
How are arc lengths and radians related? An interactive resource demonstrates the relationship as pupils create arc lengths in a unit circle and compare them to the angle measurements. Questions ask individuals to build upon this...
CK-12 Foundation
Vector Multiplied by a Scalar: Boat Race
Find the right number of vectors to get to the finish line. Using a boat race scenario, pupils add multiples of the same vector together. The scholars use scalar multiplication to speed up the boats in an exciting race to the finish.
CK-12 Foundation
Pascal's Triangle: Pyramid Blocks
Build a pyramid of sums. An interactive presents the first five rows of Pascal's Triangle as a pyramid. Pupils match missing entries in the pyramid and continue the pattern to determine entries of other rows. The learners use the entries...
CK-12 Foundation
Mutually Exclusive Events: Lemon Roulette!
You first! An interactive sets up a game between two friends who hope they don't find a lemon hidden under a tray. Pupils determine whether there is an advantage of going first. Individuals find the probabilities of each friend finding...
CK-12 Foundation
Mutually Inclusive Events: Card Game
Find probabilities of pulling cards. Using a Venn diagram, individuals sort five cards along the rules of a game. The pupils calculate compound probabilities using the information from the diagram. Initially, the interactive provides the...
CK-12 Foundation
Dependent Events: Cheryl's Birthday
Use dependency to find a birthday. Learners use an interactive to keep track of excluded potential dates of a birthday using information provided to two people about a third's birthday. Scholars then use the dependency between the dates...
CK-12 Foundation
Numerical Computations: Counting Out Probability
Keep your heads up while counting. Pupils use an interactive to create a table with the possible outcomes of flipping three coins and then determine the probabilities of getting certain combinations of heads and tails.
CK-12 Foundation
Additive and Multiplicative Rules for Probability: Red Dress? Blue Dress? Both!
The sum of the parts is greater than the whole. An interactive uses a Venn-like model to show the percentage of females from a survey that have a blue dress, a red dress, or both. The pupils determine the numbers in each category...
CK-12 Foundation
Counting Techniques: Permutations and Combinations
Comparing and contrasting is an important skill, even in mathematics. A drag-and-drop interactive has users classify situations as suitable for permutations or combinations. A set of challenge questions tests whether they know the...
CK-12 Foundation
Graphs for Discrete and for Continuous Data: Discrete vs. Continuous Data
Not all data is the same. Using the interactive, pupils compare data represented in two different ways. The learners develop an understanding of the difference between discrete and continuous data and the different ways to represent each...
CK-12 Foundation
Displaying Categorical Variables: Spending Habits
Bar or circle graph—which is best? Given a circle graph and a total amount of money earned, pupils calculate the amount of money in each category. Learners use the calculated amounts to create a bar graph and compare the two displays.
CK-12 Foundation
Interpretation of Circle Graphs: Northwest Region Population Pie
Given populations of the five Northwestern states, learners create a circle graph. Using the data and the pie chart, they make comparisons between the populations of the states. Finally, the pupils determine how the chart will change...
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
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
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
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
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
Prices Involving Discounts: Save Money with Coupons!
Nine questions make up an interactive that challenges scholars to identify new prices after discounts. Question types include fill in the blank and multiple choice. A fully-functional tool assists participants in solving word problems....
CK-12 Foundation
Proportions to Find Percents: Bag of Candy
Proportions and percents are the focus of an interactive designed to boost math proficiency. Five questions challenge participants to solve candy-themed word problems. A color-coded tool with moveable parts assists mathematicians in the...
CK-12 Foundation
Values Written as Powers: Binary Numbers 9 to 16
Challenge mathematicians to crack the binary code with an interactive that focuses on numbers nine to 16. A table reveals exponential equations to aid in answering multiple-choice questions. A discussion question gauges comprehension.