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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 the...
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Interactive
CK-12 Foundation

Exponential Growth: Exponential, Fractal Snowflakes

For Students 10th - 12th Standards
Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.
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Interactive
CK-12 Foundation

Scientific Notation: Light Years to Centaurus Constellation

For Students 8th - 12th Standards
Connect scientific notation to a real-life situation. Measuring distances in our solar system require large numbers. As pupils make conversions using these large numbers, they begin to see the necessity of scientific notation. They...
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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...
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Interactive
CK-12 Foundation

Direct Variation: Value of a Painting

For Students 9th - 12th Standards
Help your pupils find a pattern of direct variation. Young scholars use input-output pairs to find a constant of variation and then write the equation. As they build their equations, the interactive lesson provides feedback.
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Interactive
CK-12 Foundation

Division of Rational Expressions: Step by Step

For Students 9th - 12th Standards
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. 
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Interactive
CK-12 Foundation

Using Quadratic Equations to Solve Problems: Construct a Soccer Field

For Students 8th - 10th Standards
Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...
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Interactive
CK-12 Foundation

Solving Problems by Factoring: Building a Doghouse

For Students 8th - 10th Standards
Building a doghouse is easier with a little mathematical help! Young scholars use sliders to adjust the length of the doghouse and watch as it affects the width and area. They then answer questions that help them discover the question...
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Interactive
CK-12 Foundation

Functions that Describe Situations: Manny's Mang-o-gurt

For Students 6th - 8th Standards
How much does it cost to add more mangos? An interactive allows users to see how the price of frozen yogurt changes based on the number of scoops and the number of slices of mango. Learners then answer a set of challenge questions about...
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Interactive
CK-12 Foundation

Visual Patterns: Building the Queen's Tower

For Students 6th - 8th
A resource fit for a queen. Scholars recognize and continue a pattern in towers people are building for a queen. They write and use an algebraic expression for the number of tiles in the towers.
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Interactive
CK-12 Foundation

Applications Using Linear Models: Scuba Diving

For Students 7th - 10th Standards
Dive into this resource on rates of change and linear models. Pupils use two sliders in an interactive to adjust water temperature and depth. They use a given linear equation to calculate the rate of change in water temperature per unit...
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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.
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Interactive
CK-12 Foundation

Two-Step Equations with Addition and Multiplication: T-Shirt Equation

For Students 7th - 10th Standards
Interactive bar models make solving equations fairly easy. Scholars use an interactive to adjust a bar model representing an equation. This model helps solve the equation.
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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.
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Interactive
CK-12 Foundation

Evaluate Expressions with One or More Variables: Water Bottle Expression

For Students 6th Standards
Fill your mind as you fill virtual water bottles. Pupils use an interactive to find the amount of water that can fit in given containers. Writing and evaluating an algebraic expression helps with this task.
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Interactive
CK-12 Foundation

Expressions for Real-Life Situations: Shopping for Sisters

For Students 6th - 8th Standards
Shopping for a resource on writing algebraic expressions? Look no further. Pupils use an interactive to drag shirts and pants out of a shopping bag. They create and evaluate an expression to represent the cost of the clothes.
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Interactive
CK-12 Foundation

Checking Solutions to Inequalities: Ordering Roses

For Students 8th - 11th
It's important to have the correct number of flower arrangements at a wedding. Scholars match an inequality and a graph given a situation involving roses for wedding receptions. A set of challenge questions checks the matching pairs.
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Interactive
CK-12 Foundation

Checking Solutions to Equations: Taxi Cab Calculations

For Students 8th
Ride to success in checking solutions to equations. Scholars use an interactive graph to identify points that are solutions to a linear equation. Interpreting these points in terms of the context completes the activity.
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Interactive
CK-12 Foundation

Logistic Functions: Fab Fitness

For Students 11th - Higher Ed
Strengthen your understanding of logistic functions. Young mathematicians change the carrying capacity of a logistic function and see how function values change. The function models the number of members in a gym over time.
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Interactive
CK-12 Foundation

Division of Decimals by Whole Numbers: Lemonade Stand

For Students 6th Standards
After a full day of selling lemonade, three friends split the cost of the profit money. If the total profit was $34.20, how much will each friend get?
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Interactive
CK-12 Foundation

Integers that Represent Different Situations: Football Field

For Students 6th - 8th Standards
A football-themed interactive focuses on integers. Seven questions challenge scholars to show what they know by way of short answers, multiple-choice, and true or false. An open-ended question followed by a discussion concludes the...
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Interactive
CK-12 Foundation

Integers: Tiling a Chessboard with Dominoes

For Students 6th - 8th Standards
Ten questions make up an interactive all about integers. Scholars answer multiple choice, short answer, and discussion questions using a 4x4 chessboard and dominoes.
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Interactive
CK-12 Foundation

Whole Number Division: Repaying Money

For Students 3rd - 5th Standards
Mathematicians answer five word problems in an interactive practice all about repaying money using division. A calendar and moveable dollar bills aides participants in finding solutions to multiple-choice, fill-in-the-blank, and...
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Interactive
CK-12 Foundation

Properties of Rational Numbers: Lollipop Trees

For Students 6th - 8th Standards
A six-question interactive takes mathematicians to Lollipop Land where they manipulate lollipop trees to make equivalent ratios.  Question types include multiple-choice, true or false, and a discussion.