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CK-12 Foundation
One-Step Equations and Inverse Operations: Additive Inverse
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.
CK-12 Foundation
Checking Solutions to Equations: Taxi Cab Calculations
Ride to success in checking solutions to equations. Scholars use an interactive graph to identify points that are solutions to a linear equation. Interpreting these points in terms of the context completes the activity.
CK-12 Foundation
One-Sided Limit Type: Limit Notation and Graphs
A one-sided limit is no less important than a two-sided limit. Young mathematicians use an interactive to match limit notation to graphs. The exercise requires interpreting how one-sided limits connect to features of graphs.
CK-12 Foundation
Scientific Notation: Light Years to Centaurus Constellation
Connect scientific notation to a real-life situation. Measuring distances in our solar system require large numbers. As pupils make conversions using these large numbers, they begin to see the necessity of scientific notation. They...
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
Basic Counting Rules: Sandwich Shop
Young mathematicians make a tree diagram of all possibilities for sandwiches using an interactive. They learn how multiplication speeds up the process of finding the number of outcomes.
CK-12 Foundation
Fundamental Counting Principle with and without Repetition: Outfit Combinations
But I have nothing to wear! Using an interactive, individuals create all possible outfits from three shirts, one belt, and two pairs of pants. Answering a set of challenge questions helps them see what they have learned from the...
CK-12 Foundation
Two-Step Equations with Subtraction and Multiplication: Cupcake Equation
Solving equations is a piece of cake. Young mathematicians use an interactive to create a bar model to representing a situation involving cupcakes. They use the model to solve for the cost of a cupcake.
CK-12 Foundation
Simplify Variable Expressions Involving Integer Addition
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.
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
Checking Solutions to Inequalities: Apples and Bananas Shopping Excursion
Go bananas over a fun interactive! Learners drag a point on a virtual graph of an inequality to see if it is a solution. This helps determine the possible numbers of apples and bananas a shopper can buy with a given amount of money.
CK-12 Foundation
The Real Numbers: Surjections, Injections and Bijections
Inject a great interactive into your lesson plans. Scholars learn about injections, surjections, and bijections of sets. They use an interactive that shows an example for each of these relationships between sets.
CK-12 Foundation
Evaluate Limits Using Graphs and Tables: Evaluate the Limits
Discontinuities in the graph? No worries. Pupils investigate the limit of a function given graphically using an interactive. The graph has removable and jump discontinuities.
CK-12 Foundation
Infinite Limit Type: Asymptotes and End Behavior Question
There are an infinite number of reasons to use the resource. Scholars drag vertical and horizontal lines to the graph of a rational function to identify all asymptotes. They investigate the connection between asymptotes and limits to...
CK-12 Foundation
Logistic Functions: Fab Fitness
Strengthen your understanding of logistic functions. Young mathematicians change the carrying capacity of a logistic function and see how function values change. The function models the number of members in a gym over time.
CK-12 Foundation
Equivalent Fractions
An interactive made up of five questions tests scholars' knowledge of equivalent fractions. Two fraction circles with moveable parts assist mathematicians in finding solutions. Questions are multiple-choice with one discussion.
CK-12 Foundation
Values Written as Powers: Binary Numbers 1 to 8
A six-question interactive tasks scholars with adding binary numbers one through eight. A tool acts as a visual aid to showcase the patterns made when working with base—2, digits zero and one. Question types include fill in the blank,...
CK-12 Foundation
Fields in the Life Sciences
Many fields of study require a specialty and a sub-specialty as you progress through your education. Scholars learn about six sub-specialties of life science. From botany to zoology, our knowledge of the world of living organisms expands...
CK-12 Foundation
Chemical Bonds: Covalent and Ionic Bonding
Get back to bonding basics. Science scholars get a chance to show what they know using a simple interactive. Pupils create models of covalent and ionic bonds before answering questions about each interaction. The resource includes a...
CK-12 Foundation
Exponential Growth: Exponential, Fractal Snowflakes
Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.
CK-12 Foundation
Factor Pairs: Flower Garden
Arrange the dimensions of Marissa's rectangular flower garden so that 12 flowers can be grown. How many factor pairs does the number 12 have? What dimensions are necessary for a square shaped planter?
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
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...