CK-12 Foundation
Evaluation of Perfect Square Roots: Neighborhood Park
Walking in the park can be good for the body and for mathematics skills. Young scholars use an interactive app to investigate the relationship between squares and square roots using a square with adjustable length. The program also takes...
CK-12 Foundation
Midpoint Formula
By selecting the resource, you're already halfway to understanding midpoints. Pupils use a slider to locate midpoints on the coordinate plane. They connect this conceptual understanding to the formula for the midpoint of a line segment.
CK-12 Foundation
Distance Formula: Right Triangles
Go the distance with a far out resource. Individuals use an interactive to create right triangles on a coordinate plane to help find distance between two points. Challenge questions aid them in developing the distance formula.
CK-12 Foundation
Radical Equations: Geometric Visual of a Square Root
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.
CK-12 Foundation
Simplification of Radical Expressions: Irrational Garden Plot
All is not simple in the garden of rationals and irrationals. Learners use a context of a garden to practice simplifying irrational numbers involving radicals. They also find areas of garden with irrational side lengths.
CK-12 Foundation
Completing the Square
An interactive aids in understanding of how to complete the square for a quadratic equation. A set of five challenge questions tests this understanding.
CK-12 Foundation
Addition of Integers: Adding Electrons
Young mathematical scientists interact with protons and electrons in an atom to create a neutrally charged atom. They answer questions based on their findings throughout the interactive resource.
CK-12 Foundation
Differences of Integers Using a Number Line: Football Game
Make football a math sport! Move the football player (red dot) along the sideline (number line) to see how many yards (positive and negative integers) they've traveled to the other team's end zone.
CK-12 Foundation
Sum and Difference of Cubes: Stacking Blocks
Investigate polynomial factoring patterns by finding a connection to volume. As learners build a three-dimensional solid from smaller solids, they convert the visual model to a mathematical expression. Their models represent the sum of...
CK-12 Foundation
Factoring by Grouping: Polynomials
Investigate the process of factoring polynomials by grouping. A detailed lesson initially has learners follow a set-by-step example. They then drag terms to complete the three steps of a new problem.
CK-12 Foundation
Using Quadratic Equations to Solve Problems: Construct a Soccer Field
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...
CK-12 Foundation
Simplifying Rational Expressions: Sliding Solver
Build a strong understanding of simplified rational expression with your classes. An interactive lesson helps scholars discover the equality between the original expression and the simplified expression. Questions help individuals focus...
CK-12 Foundation
Solving Problems by Factoring: Building a Doghouse
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...
CK-12 Foundation
Negative Exponents
Watch the exponent expression do the negative exponent dance! An interactive lesson uses an animation to show how negative exponents become positive. Learners manipulate the expression and then respond to conceptual questions.
CK-12 Foundation
Direct Variation: Value of a Painting
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.
CK-12 Foundation
Addition and Subtraction of Rational Expressions: Strawberry Sherbet Punch
Explore the connection between fractions and rational expressions. Young scholars manipulate fractions with unlike denominators to find a total. Challenge questions allow them to check their work to ensure they are correct.
CK-12 Foundation
Division of Rational Expressions: Step by Step
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.
CK-12 Foundation
Oblique Asymptotes: Rational Functions and Asymptotes
Examine the connection between rational functions and their graphs. Individuals use an online manipulative to sort equations with horizontal and oblique asymptotes. They focus on the degree of the numerator and denominator.
CK-12 Foundation
Horizontal and Vertical Asymptotes: Rational Functions
Play with the graph of a rational function to discover the asymptote patterns. Young scholars use the interactive lesson to discover the relationship between the asymptotes and the function. As they manipulate the function, the graph...
CK-12 Foundation
Inverse Variation Models: Speedometer for Inverse Variation Models
Model inverse variation while solving a real-world problem. Young scholars use the interactive lesson to discover the pattern of inverse variation data. They then use that discovery to write and analyze an equation.
CK-12 Foundation
Model Rocket
Acceleration, velocity, mass, and gravity all play a role in the motion of a rocket. Young scientists explore the connection among these components using an interactive tutorial. They adjust the mass and thrust force to experiment with...
CK-12 Foundation
Irwin and Ruthie
Learners compare acceleration to displacement through an interactive tutorial that permits them to adjust the running strategy of two robots and watch them race. A graph displays the robot's velocity over time and another shows their...
CK-12 Foundation
Butterfly Stroke
Swimmers improve their times by understanding the physics of their sport. As a swimmer moves through the water, the efficiency of motion affects the resulting velocity. Through an interactive simulation, pupils change the level of motion...
CK-12 Foundation
Tire Pressure
Learners use an interactive simulation to explore the connection between force and air pressure. They adjust the mass of a vehicle and air pressure in its tires and predict the result. As the vehicle's mass increases, the tire pressure...