Interactive
CK-12 Foundation

Reciprocal Identities

For Students 10th - 12th Standards
Get a better understanding of the trigonometric functions by taking a look at the flip side. Pupils create angles within a unit circle and compare the values of the standard trigonometric functions to their reciprocal functions. The...
Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Cosine

For Students 10th - 12th Standards
If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.
Interactive
CK-12 Foundation

Whole Number Addition: Let's Go Fishing!

For Students 6th
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...
Interactive
CK-12 Foundation

Rotations in Radians: Clock Conundrum

For Students 10th - 12th Standards
Pupils use an interactive clock to set specific times. They apply math to an everyday task as they determine the measure of the angle formed by the hands in degrees and in radians. 
Interactive
CK-12 Foundation

Percent of a Number: Rock Climbing

For Students 6th - 8th
What percent of the 100 ft. rock has Marta climbed? Young mathematicians find the percent of number (the rock height) by moving the climber up and down the rock.
Interactive
CK-12 Foundation

Square Roots and Irrational Numbers: Estimating Radicals

For Students 8th - 10th
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...
Interactive
CK-12 Foundation

Multiplying Polynomials

For Students 9th - 11th Standards
Help your class find patterns in polynomial multiplication. Pupils multiply a trinomial by a binomial using a graphic organizer. They respond to questions about patterns observed in polynomial multiplication before a discussion question...
Interactive
CK-12 Foundation

Monomial Factors of Polynomials: Mystery Boxes

For Students 8th - 10th Standards
Shortcut the work in finding total volumes. Pupils determine a polynomial expression that would represent the combined volume of three boxes. Each box has the same height, and the scholars rewrite the expression by factoring out the...
Interactive
CK-12 Foundation

Addition of Polynomials: Splitting into Tiles

For Students 8th - 10th Standards
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...
Interactive
CK-12 Foundation

Families of Lines: Room in Perspective

For Students 8th - 10th Standards
Get a perspective of lines that share a point. The interactive displays a family of lines that share the same y-intercept. Individuals can find the equations of the lines by moving the line displayed and find what is common...
Interactive
CK-12 Foundation

Graphs of Systems of Linear Inequalities in Two Variables: President Jefferson's Octagonal Home

For Students 9th - 12th
Mathematically complete a set of blueprints. Using eight linear inequalities, pupils create a blueprint of Thomas Jefferson's home. Individuals graph the linear inequalities and position the solution of the inequalities before...
Interactive
CK-12 Foundation

Vector Subtraction

For Students 11th - Higher Ed Standards
Move vectors to determine their difference. Pupils use an interactive to visualize the opposite of a vector. They use the concept of adding vectors to subtract vectors by adding the opposite and, finally, view the differences of the...
Interactive
CK-12 Foundation

Expected Value: Creating a Discrete Probability Distribution Table

For Students 11th - 12th Standards
Wanna roll the dice? Determine whether it is a good idea to play a dice game. An interactive presents the rules for a game of dice. Pupils find the probabilities of each event and calculate the expected value of the game. They finish...
Interactive
CK-12 Foundation

Linear Inequalities in Two Variables

For Students 8th - 10th Standards
Take the tediousness out of finding solutions of inequalities by graphing. Individuals use an interactive that allows them to adjust a system of inequalities on a coordinate plane. Using the interactive helps find solutions to systems of...
Interactive
CK-12 Foundation

Graphs of Linear Functions: Line Designs

For Students 8th - 10th Standards
Designs from lines are sublime. Scholars create colorful designs by connecting points on an interactive coordinate plane. They answer questions about slope and quadrants based on their designs.
Interactive
CK-12 Foundation

Standard Form of Linear Equations: Seesaw

For Students 8th - 10th Standards
Don't hem and haw, learn about equations using a seesaw. An easy-to-use interactive has pupils move a seesaw on a coordinate plane to investigate the standard form of a linear equation. By completing a set of challenge questions, they...
Interactive
CK-12 Foundation

Comparing Equation of Parallel and Perpendicular Lines: Parallel and Perpendicular Lines

For Students 9th - 11th Standards
It seems perpendicular lines have slopes which follow a specific rule. Scholars use an interactive to investigate this rule by moving a pair of lines on a coordinate plane. They find that perpendicular lines have slopes that are opposite...
Interactive
CK-12 Foundation

Types of Archaea

For Students 6th - 8th Standards
One of the few organisms that are classified by the environment in which they live include archaea. The video describes the phylogeny of the group and their major characteristics. It details how they reproduce and discusses the diversity...
Interactive
CK-12 Foundation

Basic Geometric Definitions: Alternate Dimensions

For Students 9th - 12th Standards
How do you calculate problems in alternate dimensions? The interactive allows learners to manipulate points in 2-D as scholars explore the relationship the points must have to create a one-dimensional object. Pupils identify objects that...
Interactive
CK-12 Foundation

Congruent Angles and Angle Bisectors: Bisecting Pepperoni Pizza

For Students 9th - 12th Standards
Who doesn't like pizza?  A creative lesson uses a piece of pizza to explore angle bisectors and congruent angles. Young scholars work through a simulation to create congruent slices of pizza by analyzing an angle bisector. They then...
Interactive
CK-12 Foundation

Angle Measurement: Fuel Gauge Angles

For Students 9th - 12th Standards
Once you start looking, angles appear everywhere in our daily lives. A creative lesson has learners use the angles created by a fuel gauge to practice the Angle Addition Postulate. They see how changing the angle parts does not...
Interactive
CK-12 Foundation

Bisectors of Line Segments and Angles: Cut a Line

For Students 9th - 12th
Geometric constructions build relationships —by simply manipulating simple tools. An interactive lesson presents a completed construction of a segment bisector and has learners analyze the important aspects. Ultimately, they should be...
Interactive
CK-12 Foundation

Multi-Step Inequalities: Summer Camp

For Students 6th - 9th Standards
No chaperones are necessary to use this resource. Scholars solve a multi-step inequality problem on summer camp chaperones by using a pictorial representation. They write inequalities to represent various situations in this context.
Interactive
CK-12 Foundation

Mental Math for Addition and Subtraction Equations: Marble Bag Collector

For Students 6th - 7th Standards
Don't lose your marbles as your learn about addition and subtraction equations. Pupils investigate the relationship between addition and subtraction by using an interactive. They drag different color marbles into a box and identify...

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