Interactive
CK-12 Foundation

Quadratic Functions and Equations

For Students 9th - 12th Standards
The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...
Interactive
CK-12 Foundation

Geometric Sequences and Exponential Functions: Bouncing Ball

For Students 9th - 12th Standards
Explore a geometric sequence model through a simulation. Learners change the starting drop height of a ball and watch how the heights of following bounces change. They consider the ratio of the consecutive bounces as they analyze...
Interactive
CK-12 Foundation

Exponential Properties Involving Quotients

For Students 9th - 12th Standards
Watch as exponential expressions expand and contract! An interactive tutorial leads young mathematicians to the discovery of the quotient property of exponents. Through exploration, they realize that an x in the numerator will cancel an...
Interactive
CK-12 Foundation

Common Multiples: Sports Calendar

For Students 6th Standards
Using a calendar, basketballs, and tennis balls, young mathematicians determine the common multiples of four and six. Individuals drag and drop the balls onto the correct dates each sport will be played, allowing them to see which days...
Interactive
CK-12 Foundation

Midpoint Formula

For Students 8th - 10th
By selecting the resource, you're already halfway to understanding midpoints. Pupils use a slider to locate midpoints on the coordinate plane. They connect this conceptual understanding to the formula for the midpoint of a line segment.
Interactive
CK-12 Foundation

Law of Cosines: Get on Base

For Students 10th - 12th
Baseball is all about math. Young baseball and mathematics enthusiasts determine the distance between players on a baseball field using the Law of Cosines. An interactive helps them find relevant distances and angles to use in their...
Interactive
CK-12 Foundation

Determination of Unknown Triangle Measures Given Area: Jib Sheets

For Students 10th - 12th Standards
Solving triangles is a breeze. Young boat enthusiasts solve problems involving triangles in the context of sails on a boat. They must apply different strategies, including the Law of Cosines and area formulas.
Interactive
CK-12 Foundation

Vector Subtraction

For Students 11th - Higher Ed Standards
Move vectors to determine their difference. Pupils use an interactive to visualize the opposite of a vector. They use the concept of adding vectors to subtract vectors by adding the opposite and, finally, view the differences of the...
Interactive
CK-12 Foundation

Metamorphic Rock Classification: Changing Under Pressure

For Students 6th - 8th
Change is coming — but how much? Geology pupils discover the transformation of metamorphic rock using a well-rounded interactive. Topics include the effects of pressure and temperature on metamorphic rock, how time factors into the...
Interactive
CK-12 Foundation

Slope-Intercept Form of Linear Equations: Cable Car Tracks

For Students 7th - 10th Standards
Get on track to learn about slope-intercept form. Scholars use an interactive to position a line along the tracks of cable car. Applying knowledge of slope and intercepts, they write the slope-intercept form of the equation for the line.
Interactive
CK-12 Foundation

Intercepts and the Cover-Up Method: The Hidden Zeros

For Students 7th - 10th Standards
There's no need to cover up this resource — it's good one! Pupils use a slider interactive that covers up parts of the standard form of a linear equation and simultaneously reveals one of the intercepts of the graph. This lets them see...
Interactive
CK-12 Foundation

Measurement of Probability

For Students 6th - 8th Standards
Stockings make your legs warmer and math more enjoyable. A drag-and-drop interactive has pupils take stockings out of drawers to calculate probabilities. This includes dependent events where the probabilities depend on previous stocking...
Interactive
CK-12 Foundation

Applications of Probability: What Are the Odds?

For Students 9th - 12th Standards
Improve your chances of understanding odds. Scholars use an interactive spinner to increase and decrease the number of favorable and unfavorable sections on the spinner. This spinner helps them learn about odds.
Interactive
CK-12 Foundation

Slope: Hiking in the Woods

For Students 7th - 9th
Learning about slopes from a hike in the woods is a walk in the park. Scholars slide a cutout of a person to simulate a hike along several paths. Passing through indicated points reveals the type of slope (positive, negative, zero, or...
Interactive
CK-12 Foundation

Comparing Equation of Parallel and Perpendicular Lines: Parallel and Perpendicular Lines

For Students 9th - 11th Standards
It seems perpendicular lines have slopes which follow a specific rule. Scholars use an interactive to investigate this rule by moving a pair of lines on a coordinate plane. They find that perpendicular lines have slopes that are opposite...
Interactive
CK-12 Foundation

Permutations and Combinations Compared: Ice Cream Bar

For Students 9th - 12th Standards
Learning math from an ice cream shop—what a tasty treat! Individuals use an interactive to list all possibilities for a double-scoop ice cream. Along the way, they learn to distinguish between permutations and computations.
Interactive
CK-12 Foundation

Absolute Value Inequalities: The Nuts and Bolts of Allowable Error

For Students 8th
Explore the nuts and bolts of absolute value inequalities using nuts and bolts. Pupils use an interactive to see how the minimum and maximum radii of a nut-and-bolt combination change based on the target radius and the allowable error....
Interactive
CK-12 Foundation

Solving Real-World Problems Using Multi-Step Equations: Bowling Ball Delivery

For Students 7th - 10th Standards
How many bowling balls can a truck carry? A slider interactive changes the weight of boxes and the number of bowling balls per box. Investigating with this slider lets users find the maximum number of bowling balls.
Interactive
CK-12 Foundation

Two-Step Equations with Subtraction and Multiplication: Cupcake Equation

For Students 7th - 9th Standards
Solving equations is a piece of cake. Young mathematicians use an interactive to create a bar model to representing a situation involving cupcakes. They use the model to solve for the cost of a cupcake.
Interactive
CK-12 Foundation

Mental Math for Addition and Subtraction Equations: Marble Bag Collector

For Students 6th - 7th Standards
Don't lose your marbles as your learn about addition and subtraction equations. Pupils investigate the relationship between addition and subtraction by using an interactive. They drag different color marbles into a box and identify...
Interactive
CK-12 Foundation

One-Step Equations Transformed by Multiplication/Division: Dividing Plums

For Students 6th Standards
Be sure to use this plum resource. Scholars apply an interactive to find the number of plums each friend receives after plum-picking. They see how the interactive relates to one-step equations.
Interactive
CK-12 Foundation

Single Variable Division Equations: Paper Car Tires

For Students 7th Standards
Don't tire of solving equations, mix up your lesson! A virtual interactive has users drag paper tires to toy cars. Solving a one-step equation lets them find how many cars can be made from a given number of tires.
Interactive
CK-12 Foundation

Visual Patterns: Balloons

For Students 6th - 8th
Balloons aren't just for little kids; they can teach important math concepts, too. Individuals use an interactive to continue a color pattern with balloons. They continue the pattern and write a mathematical expression to represent the...
Interactive
CK-12 Foundation

Properties of Congruence: Polygon Party

For Students 9th - 11th Standards
Don't let congruent figures drag you down. Young mathematicians use an interactive to drag figures onto one another to determine if the figures are congruent.