CK-12 Foundation
Square Roots and Irrational Numbers: Estimating Radicals
Try out a resource using triangles to estimate radicals. An interactive app allows learners to approximate some irrational numbers involving square roots. They find the two consecutive numbers that an irrational number lies between...
Curated OER
Latin Roots fin, sed, fer: Synonyms and Antonyms
Secondary etymologists assign synonyms and antonyms to six English words based on the Latin roots fin, sed, and fer. MyVocabulary.com ranks this as beginner-level, but the work is challenging. A 24-item word bank provides two acceptable...
CK-12 Foundation
Evaluation of Square Roots
Think outside the box and use an engaging, interactive app that shows the relationship between square roots and squares using an actual square. Pupils find that moving a slider increases the side length of a square and its associated area.
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...
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...
CK-12 Foundation
Lengths of Triangle Sides Using the Pythagorean Theorem: Find the Missing Side
What is the relationship between the sides of a right triangle? Learners use an interactive to create models of right triangles and view the relationship between the lengths of the sides. They finish by using the Pythagorean Theorem to...
CK-12 Foundation
DeMoivre's Theorem and nth Roots: The nth Roots of Unity
The nth roots of unity all have a magnitude of one. Scholars use the unit circle and DeMoivre's Theorem to find the complex roots of one and discover that the complex numbers all lie on the unit circle and are equally spaced around it...
CK-12 Foundation
Tangent Line Approximation: Estimating Square Roots
Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...
CK-12 Foundation
Newton's Method
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...
CK-12 Foundation
Percent of Change: The Pizza Conundrum
Nine questions—multiple choice and fill in the blank—challenge mathematicians to solve money word problems. Looking closely at prices, scholars use a formula to identify percent increases and decreases based on an original and new price....
CK-12 Foundation
Problem-Solving Models: Subway vs. Taxi
Ride to success in understanding systems of equations. Scholars graph a system of equations on the cost of a subway and a taxi using an interactive. Using this graph allows users to answer some questions about the situation.
CK-12 Foundation
Greatest Common Factor Using Lists
By creating a list of factors for two numbers, it is easier to see the greatest common factor. Each question in an interactive resource asks pupils to identify the greatest common factor for the numbers 24 and 36 in several...
CK-12 Foundation
Whole Number Division: Repaying Money
Mathematicians answer five word problems in an interactive practice all about repaying money using division. A calendar and moveable dollar bills aides participants in finding solutions to multiple-choice, fill-in-the-blank, and...
CK-12 Foundation
Decimal Multiplication: Reducing the Weight
Eight questions challenge mathematicians to multiply decimals. A color-coded tool with movable parts assist participants in answering word problems. Item response types include fill in the blank, multiple-choice, and a discussion. ...
CK-12 Foundation
Comparison of Unit Rates: Drive Away
Five questions make up an interactive that challenges mathematicians to compare unit rates. Word problems question scholars about two friends going on a road trip. Scholars manipulate two cars on a coordinate plane to help solve word...
CK-12 Foundation
Basic Trigonometric Functions: Ladder Length
Climb the ladder to trigonometry. The interactive introduces trigonometric ratios and finding lengths of sides of right triangles created by a ladder and a building. Learners use the interactive to create triangles by moving the top of...
CK-12 Foundation
Right Triangles, Bearings, and Other Applications: Sailing Race
Help your class get their bearings when it comes to right triangles. Pupils determine distances traveled or components given the bearing of a sailboat using an interactive. The scholars develop a sense of finding the bearings of a given...
CK-12 Foundation
Computing Probabilities for the Standard Normal Distribution: The FDA and Food Safety
To recall or not to recall, that is the question. Using provided data, pupils calculate the percent of people that may fall ill on average. The scholars determine the standard deviation based upon the mean and the empirical rule,...
CK-12 Foundation
Properties of Multiplication in Decimal Operations: Balloon Animals
Commutive and associative properties are the focus of a five-question interactive. Dealing with decimal multiplication and addition, mathematicians solve multiple-choice and true or false questions using a model that moves balloons along...
CK-12 Foundation
Whole Number Addition: Let's Go Fishing!
Practice adding whole numbers by combining the amount of fish Alice and Bob catch. As young mathematicians work through each problem, they are asked to find one more plus the amount of fish already caught. They can manipulate the...
CK-12 Foundation
Improper Fractions as Mixed Numbers: Sharing Scratch-n-Sniff Stickers
No, you can't actually smell these 13 scratch-n-sniff stickers. But you can group them into equal groups of four, with one sticker remaining. Using that information, learners create a mixed number based on the improper fraction, 13/4.
CK-12 Foundation
Newton's Method
Use an iterative process to find an approximation of a square root. Pupils use the interactive to find an approximation to find the positive root of a quadratic function with Newton's method. With the graphs, learners position the...
CK-12 Foundation
Addition of Fractions
Five word-problems challenge mathematicians to add fractions. Interactive fraction circles assist scholars in problem-solving. Question types include multiple-choice, true or false, and a discussion.
CK-12 Foundation
Prices Involving Discounts: Save Money with Coupons!
Nine questions make up an interactive that challenges scholars to identify new prices after discounts. Question types include fill in the blank and multiple choice. A fully-functional tool assists participants in solving word problems....