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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

Equations with Variables on Both Sides: Rubber Ducky Math

For Students 8th
Rubber ducky, you're the one ... to help solve equations. Young mathematicians use an interactive to set up a situation involving rubber ducks. This helps users visualize and solve an equation with variables on both sides.
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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

Linear Inequalities: Concert Tickets

For Students 7th - 10th
Profit from this resource on linear inequalities. A slider interactive lets users see how the profit on band ticket sales changes with the number of tickets. A set of challenge questions provides some situations for learners to consider.
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Interactive
CK-12 Foundation

Problem Solving Plan, Mental Math: The Perfect Lemonade 2

For Students 7th - 10th
Drink in this resource. Young problem solvers investigate a different way of looking at the problem of filling four liters of water from a three-liter cylinder and a five-liter cylinder. Isometric grids help with this understanding.
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Interactive
CK-12 Foundation

Problem Solving Plan, Mental Math: The Perfect Lemonade 1

For Students 7th - 10th
Find the perfect amount of water for lemonade. Scholars solve the famous problem of measuring four liters of water using a three-liter container and a five-liter container. An interactive allows users to see each step of the solution.
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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

Modeling: Mathematical, Physical and Conceptual

For Students 6th - 12th Standards
Scientific models help explain ideas and concepts to non-experts. The online activity covers conceptual, mathematical, and physical models. Through four multiple-choice questions and three discussion questions, scholars gain a deeper...
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Interactive
CK-12 Foundation

One-Step Equations and Inverse Operations: Additive Inverse

For Students 6th - 8th Standards
Reinforce properties while solving equations. Learners often ignore properties even as they try to apply them. A well-designed lesson emphasizes the role of additive inverses when solving equations.
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Interactive
CK-12 Foundation

Input-Output Tables for Function Rules

For Students 6th - 9th Standards
Make the abstract a bit more concrete with an interactive that asks learners to slide an input value through a function to determine the output. Changing the slope and y-intercept allows them to see the how the output values change.
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Interactive
CK-12 Foundation

Input-Output Tables for Function Rules

For Students 6th - 9th Standards
How does changing a graph affect the function? Learners watch the changing input-output table as they adjust the location of the line graph. Questions prompt them to complete a table of values and determine the function rule.
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Whats My Rule?

For Students 6th - 9th Standards
What's the rule that makes it true?  A virtual function machine generates output values as learners submit the input values. Their job is to analyze the inputs and outputs for a pattern and write a function rule.
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine 2

For Students 6th - 9th Standards
Model function operations using a function machine. An interactive lesson has learners determine the patterns of a double function machine. They use the patterns to write functions and make connections between the inputs and outputs.
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine 1

For Students 6th - 9th Standards
Challenge your classes to find the pattern of a double function machine. After recording the outputs of both machines, learners identify the pattern and the corresponding function. Both patterns involve adding/subtracting a constant.
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine!

For Students 6th - 9th Standards
Watch as a function machine converts an input to an output. Learners determine the work applied by the function machine to write a function rule. Questions accompany the function machine animation to guide individuals to conclusions.
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Tickets at an Arcade

For Students 6th - 9th Standards
This is the ticket to learning about function rules! Using online manipulatives, scholars build a table of values and then answer questions about the related function. They examine the relationship between the input and output values and...
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Soda Sugar Function Table

For Students 6th - 9th Standards
Examine the relationship between the input and output variables in a table of values. As learners build an input-output table using online manipulatives, they begin to identify patterns. They answer questions about these patterns and...
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Interactive
CK-12 Foundation

Linear Equations: Temperature Transitions

For Students 8th - 10th Standards
Explore linear conversions using an engaging interactive lesson. Learners drag a point on a graph to discover the equivalent degrees in Fahrenheit and Celsius. Embedded questions highlight key features such as slope and the y-intercept.
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Interactive
CK-12 Foundation

Linear Equations: Deep Dish Pizza

For Students 6th - 9th Standards
Explore the volume of solids with a real-life connection. Learners calculate the volume of a deep-dish slice of pizza to determine its price. They model the slice as a part of a cylinder and create a formula for calculating the cost.
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Interactive
CK-12 Foundation

Simplify Products or Quotients of Single Variable Expressions: Quotients of Single Variable Expressions

For Students 7th - 9th Standards
Investigate division within an algebraic term using an inquiry-based lesson. Individuals adjust sliders and watch as the simplification of the term changes. Questions help guide them to important conclusions.
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Interactive
CK-12 Foundation

Simplify Products or Quotients of Single Variable Expressions: Circling C's

For Students 7th Standards
Model expression division using online manipulatives. Learners drag C's representing a term into equal groups. Guiding questions help them see their groups as the division of the term.
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Interactive
CK-12 Foundation

Simplify Sums or Differences of Single Variable Expressions: Addition and Subtraction of Like Terms

For Students 7th - 9th Standards
Investigate the process of combining like terms using an interactive animation. Scholars tackle simplifying expressions by manipulating rectangles that represent the terms. They add and subtract terms to arrive at the result.
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Interactive
CK-12 Foundation

Simplify Variable Expressions Involving Integer Addition

For Students 7th - 9th Standards
Ensure your classes aren't drowning in expressions. An interactive simulation has scholars change the depth of a fish based on the coefficient of terms. As they add the terms together, the fish bobs up and down until reaching the answer.
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Interactive
CK-12 Foundation

Properties of Real Number Addition: The Secret of Subtraction

For Students 6th - 8th Standards
Learners sometimes struggle to understand the concept of adding and subtracting integers. Help them see the why behind their answers using the interactive number line. The values change as individuals adjust the number line for each new...