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CK-12 Foundation
Sums and Differences of Single Variable Expressions: Algebraic Soup
Alphabet soup just got an upgrade. Pupils drag expressions from algebraic soup to indicate whether it is a like term to x or to y. Some challenge questions require combining the like terms to simplify expressions.
CK-12 Foundation
Quadratic Functions and Equations
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...
CK-12 Foundation
Algebra Expressions with Exponents: Fish Tank Cube
There's nothing fishy about this resource. A slider interactive lets users adjust the side length of a fish tank cube. It aids in seeing changes in the volume and how to express the volume using an algebraic expression.
CK-12 Foundation
Addition of Polynomials: Splitting into Tiles
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...
CK-12 Foundation
Factorization of Quadratic Expressions: Algebra Tiles
What does it mean to factor the difference of two squares? The interactive presents an area model of the difference of two squares. Pupils rearrange the model to create a rectangular area. The learners determine the length and width...
CK-12 Foundation
Algebra Expressions with Fraction Bars: Temperature Conversion
Use a cool resource for a hot topic. Pupils learn how to convert Fahrenheit to Celsius, and vice versa. An interactive helps show how to perform the conversions.
CK-12 Foundation
Inequality Expressions: Inequality Graph
Don't let inequalities be a drag. As young mathematicians drag the endpoint of the graph of an inequality in an interactive, the algebraic form of the inequality changes. This helps them see how the graph connects to the inequality.
CK-12 Foundation
Factorization of Quadratic Expressions: Boxes for Factoring
Create rectangles from the terms of a trinomial. The interactive provides virtual algebra tiles for participants to use to create quadratic trinomials. Pupils use the tiles and arrange them into a rectangle to find the factors of the...
CK-12 Foundation
Simplify Products or Quotients of Single Variable Expressions: Quotients of Single Variable Expressions
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.
CK-12 Foundation
Single Variable Expressions: Neighborhood Block
The number of bicycle wheel turns is as good as any way to describe the distance from school to home. An interactive lets young mathematicians determine the number of city blocks a person bicycles. They use this information along with an...
CK-12 Foundation
Evaluate Expressions with One or More Variables: Water Bottle Expression
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.
CK-12 Foundation
Matrix Algebra: Matrix Match
What size is the product of two matrices? Individuals determine that two matrices that can be multiplied and their resulting matrix by connecting them in the interactive resource. They make a generalization about the sizes of...
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
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.
GeoGebra
Yardwork in Segments
Stretch your knowledge of ratios to the coordinate plane. The interactive allows pupils to set the endpoints of a directed line segment and form a right triangle. Using rubber bands, users visualize the line segment divided into equal...
Shodor Education Foundation
Polar Coordinates
Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...
Scholastic
Study Jams! Ratio
What is the ratio of wins to total games for Mia's soccer team? RJ teaches viewers how to figure it out with a step-by-step procedure. He shows them three different ways to represent ratios: word form, ratio form, and fraction form.
CK-12 Foundation
Completing the Square
Determine the area of a square with quadratics. Pupils use the interactive to visualize the process of completing the square. Scholars build a square area model to represent a quadratic expression then determine the amount that...
CK-12 Foundation
Applications of Linear Systems: Alcohol Solution in Nursing
Solve alcohol systems to find the right solution. The interactive allows pupils to manipulate the amount of a solution and displays the total amount in a mixture. Individuals determine the amount of each solution needed to make 15 liters...
CK-12 Foundation
Linear Systems with Addition and Subtraction: XYZ Tiles
Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...
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
Geometric Sequences: Bacteria Colony
Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 1)
Put a squeeze on a sequence. An interactive provides a graphical display of a sequence. Using the graph, learners determine the algebraic expression for the sequence. Pupils use the general definition of a limit of a sequence to find the...
CK-12 Foundation
Use Square Roots to Solve Quadratic Equations: Plus or Minus
Get two answers from a single equation. Pupils use the interactive to take the square root of nine and see the graphical representation of the two solutions. Individuals realize that solutions to quadratic equations that are solved by...
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