CK-12 Foundation
Graphs in the Coordinate Plane: Functions on a Cartesian Plane
Connect the dots to graph a linear function. Young mathematicians use an interactive to first plot provided points on a coordinate plane. They connect these points with a line and then answer questions about the slope and y-intercept of...
CK-12 Foundation
Vertical Line Test: Exploration
What do vertical lines have to do with functions? Individuals slide a vertical line through four different graphs. They use that vertical line test to determine if the graphs represent functions.
CK-12 Foundation
Graphs of Absolute Value Equations: Absolute Value Distance
The sole purpose of this interactive is to graph a function representing the distance of a car from a shoe store. Scholars use an interactive to graph such an absolute value function. They then answer a set of challenge questions...
CK-12 Foundation
Linear and Non-Linear Function Distinction: Domain and Range of a Function
Functions are special types of relations, but what makes them so special? Pupils use an interactive to slide a vertical line across six different graphs. Ten challenge questions then assess understanding of functions.
Education Development Center
Proof with Parallelogram Vertices
Geometric figures are perfect to use for proofs. Scholars prove conjectures about whether given points lie on a triangle and about midpoints. They use a provided dialogue among fictional students to frame their responses.
CK-12 Foundation
Function Rules based on Graphs: Making Money in the Hat Business
Hats off to those learning about the graphs of functions. Individuals use an interactive to plot points representing profits for a hat business. They identify a quadratic equation to represent this function and answer challenge questions...
CK-12 Foundation
Algebraic Functions: Vertical Line Test
To be (a function) or not to be (a function). An easy-to-use interactive has pupils drag a vertical line onto several graphs to determine if they represent functions. Some challenge questions assess understanding of this idea.
CK-12 Foundation
Absolute Value Inequalities: The Nuts and Bolts of Allowable Error
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....
CK-12 Foundation
Systems of Linear Inequalities: Baking Cookies
Cook up a good resource for systems of linear inequalities. Using an interactive, individuals graph a system of linear inequalities to represent constraints on the number of cookies a person must bake. A set of challenge questions...
CK-12 Foundation
Visual Patterns: Building the Queen's Tower
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.
CK-12 Foundation
Problem Solving Plan, Mental Math: The Perfect Lemonade 1
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.
CK-12 Foundation
Two-Step Equations with Addition and Multiplication: T-Shirt Equation
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.
CK-12 Foundation
Multi-Step Equations
It's important to know why each step in solving an equation works. Scholars order the steps and reasons when solving a multi-step equation. Solutions require using the distributive property, combining like terms, and using properties of...
CK-12 Foundation
Complementary Angles: Corner Kick
Soccer is all about angles. Young mathematicians use an interactive to correctly position the path of a soccer ball so that it reaches the goal. They consider complementary angles when answering a set of challenge questions.
CK-12 Foundation
Linear Pairs
Pair up this resource with a lesson on linear pairs. Scholars solve for missing variables and values of angles in linear pairs. They use an interactive to help with this endeavor.
CK-12 Foundation
Angle Pairs: Angle Measurements
As one changes, so does the other. Scholars use an interactive to see how changes in the measure of one angle of a complementary or supplementary pair of angles affect the measure of the other angle. They answer a set of challenge...
CK-12 Foundation
Properties of Equality and Congruence: Justifying Algebraic Steps
No need to justify using this resource. Learners drag justifications for each step of solving an equation in an interactive. To see if they are correct, all they need to do is use a slider and the correct answers appear.
CK-12 Foundation
Properties of Congruence: Polygon Party
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.
CK-12 Foundation
Properties of Real Number Addition: The Secret of Subtraction
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...
CK-12 Foundation
Simplify Sums or Differences of Single Variable Expressions: Addition and Subtraction of Like Terms
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.
CK-12 Foundation
Function Rules for Input-Output Tables: Soda Sugar Function Table
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...
CK-12 Foundation
Absolute Value: Picket Fence Painting
Painting a fence can be useful for more than just making your yard look good. A slider interactive has young mathematicians adjust the number of white fence panels. This activity helps in understanding how absolute value equations...
CK-12 Foundation
Mixed Numbers in Applications: Sharing a Chocolate Bar
The advantage of a virtual chocolate bar: it never melts. Learners use an interactive to share a chocolate bar among friends. Some challenge questions assess understanding of fractions in relation to this context.
CK-12 Foundation
Volume of Pyramids: Fluctuating Height
The height of a pyramid may change, but the usefulness of the interactive will not. Learners drag the apex of a pyramid to change its height. They then answer a set of challenge questions designed to investigate how changing the...