Interactive
CK-12 Foundation

Radical Equations: Geometric Visual of a Square Root

For Students 8th - 11th Standards
How can you draw a number? A set of questions takes learners through the reasoning for why a geometric construction can be drawn to represent the square root of a number. An interactive helps visualize the construction.
Interactive
CK-12 Foundation

Addition of Polynomials: Splitting into Tiles

For Students 8th - 10th Standards
Count on tiles to add polynomials. Pupils drag virtual algebra tiles onto colored mats to represent the sum of two polynomials. The learners count the number of like tiles to find the coefficient of each term. They finish...
Interactive
CK-12 Foundation

Conditional Probability: Candy Store

For Students 9th - 12th Standards
An interactive uses a candy store to involve the pupils in conditional probabilities. Learners determine probabilities as customers purchase different types of candies and the stock decreases.
Interactive
CK-12 Foundation

Expected Value: Win a Dollar

For Students 11th - 12th Standards
Spin a wheel, land on a color ... and win. Learners create a graph to display the probabilities of the amount of money they can win by spinning a colored wheel. The pupils use the dollar amounts and their probabilities to calculate the...
Interactive
CK-12 Foundation

Angle Measurement: Fuel Gauge Angles

For Students 9th - 12th Standards
Once you start looking, angles appear everywhere in our daily lives. A creative lesson has learners use the angles created by a fuel gauge to practice the Angle Addition Postulate. They see how changing the angle parts does not...
Lesson Plan
Illustrative Mathematics

Double Plus One

For Students 4th Standards
Practice doubling with a straightforward worksheet. Learners double plus one each number in the table, and then answer a series of hypothetical math equations.
Assessment
Illustrative Mathematics

Using Place Value

For Students 4th Standards
Learners count by tenths, hundredths, or tens in a task that uses decimal place value strategies. The young mathematicians then use <, >, or = to make correct comparisons between expanded decimal notations.
Interactive
CK-12 Foundation

Distributive Property: Catching Fireflies

For Students 6th Standards
Model the distributive property with jars of fireflies! An interactive animation has learners manipulate the number of jars of fireflies to determine the number caught. Accompanying questions ask scholars to consider the multiplication...
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...
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.
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.
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.
Interactive
CK-12 Foundation

Frequency Tables to Organize and Display Data: Favorite Films

For Students 7th - 10th Standards
What information can your class determine if they know the number of people attending movie showings? Using the information about the number of people at each screening, learners develop a frequency table. The pupils analyze the type of...
Interactive
CK-12 Foundation

Line Graphs to Display Data Over Time: Strawberry Competition

For Students 6th - 8th Standards
Take the tediousness out of graphing. Using the interactive tool, learners can efficiently create a line graph from a set of data. They then use the graph to answer questions about specific trends in the data.
Interactive
CK-12 Foundation

Evaluate Relations with Scatter Plots: Regression and Correlation

For Students 8th - 12th Standards
Introduce the concept of a correlation coefficient using an interactive lesson. Learners begin by manipulating a correlation coefficient and watching a graph change to represent the new value. Questions help strengthen their...
Interactive
CK-12 Foundation

One-Sided Limit Type: One-Sided Limits

For Students 11th - Higher Ed
Not everything that's one-sided is bad. A slider interactive aids learners in investigating one-sided limits from graphs. A set of challenge questions assesses their understanding of the relationship between one- and two-sided limits.
Interactive
CK-12 Foundation

Chain Rule

For Students 11th - Higher Ed
Keep it on the chains. Pupils work through the steps in the chain rule using the interactive as a guide. Learners identify the two composed functions and their associated derivatives from a set of choices. They continue on to build the...
Interactive
CK-12 Foundation

Related Rates of Car Speeds

For Students 11th - Higher Ed
Speed up your pupils' understanding of derivatives. Two cars travel in perpendicular distances to each other. With the aid of the interactive, learners visualize the situation. Pupils use the derivative to calculate the instantaneous...
Interactive
CK-12 Foundation

Newton's Method

For Students 11th - Higher Ed
Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...
Lesson Plan
West Contra Costa Unified School District

Average Rate of Change

For Teachers 9th - 12th Standards
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra lesson. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...
Interactive
CK-12 Foundation

Method of Cylindrical Shells

For Students 11th - Higher Ed
Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...
Interactive
CK-12 Foundation

Finding the nth Term Given the Common Ratio and the First Term: Dominoes

For Students 11th - Higher Ed Standards
Topple misunderstandings of geometric sequences. Using a context of creating ever-increasing sizes of dominoes, pupils develop a geometric sequence. The scenario provides the size of the first domino and the common ratio between...
Interactive
CK-12 Foundation

Limit of a Sequence: Finding the Limit of a Sequence (Part 3)

For Students 11th - Higher Ed
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...
Interactive
Shodor Education Foundation

Data Flyer

For Students 6th - 12th Standards
Fit functions to data by using an interactive app. Individuals plot a scatter plot and then fit lines of best fit and regression curves to the data. The use of an app gives learners the opportunity to try out different functions to see...

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