CK-12 Foundation
Angles of Rotation in Standards Positions: Clock Angles
Use a clock face to develop angles representing standard position angles. The interactive allows pupils to create angles using the hands of a clock. Scholars discover that there is a difference in the angle formed using a clock face and...
CK-12 Foundation
Addition of Integers: Polka Dots
What happens when you add negative and positive integers to one another? Do you add or subtract, and will the answer be positive or negative? Young mathematicians use blue and red polka dots to determine the value of an expression that...
CK-12 Foundation
Sums of Integers with Different Signs: Board Game
Five questions challenge scholars to show what they know about integers. Using an interactive board game, learners move pieces to discover where a player landed, then answer problems involving both positive and negative integers.
CK-12 Foundation
Trigonometric Functions of Negative Angles
When is the trigonometric value of a negative angle the same as the positive angle? Pupils compare the values of trigonometric functions for different angles and their negatives. The interactive resource provides a visual display to make...
CK-12 Foundation
Linear Systems with Addition and Subtraction: Fill in the Boxes 1
Eliminate a color by dragging shapes. The interactive provides a graphical color display that allows for pupils to solve a linear system by elimination. Learners combine figures following set rules for positive and negative shapes. The...
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
Operations with Vectors: GPS Device
Determine the distance between two hikers using vectors. Pupils use an interactive to develop the formula to find the distance between two points knowing their relationship to a third point. Learners use the formula to calculate the...
CK-12 Foundation
Pythagorean Theorem to Determine Distance: Tree Shadows
Why is that shadow getting longer? Determine the changes in the length of a shadow as the sun changes position in the sky. Individuals use an interactive to calculate the length of a shadow at different times during the day via the...
CK-12 Foundation
Trigonometric Functions and Angles of Rotation: The Triangle in the Circle
Go around the unit circle and create triangles. Pupils move a point around the unit circles to visualize the triangle associated with the angle in standard position. The three main trigonometric functions are defined in terms of the legs...
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
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
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
Law of Cosines: Angles in the Outfield
Take me out to the trig class. Individuals use an interactive to see how angles on a baseball field change as the position of two runners change. A set of challenge questions has them apply the Law of Cosines to solve problems.
CK-12 Foundation
Graphs of Systems of Linear Inequalities in Two Variables: President Jefferson's Octagonal Home
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...
CK-12 Foundation
Directed Line Segments: Dog Park
Its a dog's world! Using a vector in standard position, pupils model the path a dog takes to different items in a dog park. The individuals use the interactive to find the magnitude and direction of the directed line segment.
CK-12 Foundation
Coterminal Angles: Full Circle
Take a terminal side for a spin. Pupils use an interactive to investigate angles of rotation that share the same terminal side. Scholars create coterminal angles and calculate what other angle sizes share the same final position.
CK-12 Foundation
Slope-Intercept Form of Linear Equations: Cable Car Tracks
Get on track to learn about slope-intercept form. Scholars use an interactive to position a line along the tracks of cable car. Applying knowledge of slope and intercepts, they write the slope-intercept form of the equation for the line.
CK-12 Foundation
Slope: Hiking in the Woods
Learning about slopes from a hike in the woods is a walk in the park. Scholars slide a cutout of a person to simulate a hike along several paths. Passing through indicated points reveals the type of slope (positive, negative, zero, or...
CK-12 Foundation
Equations of Parallel Lines: Exploring Equations
Same slope, different point — what's the same and what's different about an equation? Young mathematicians use an interactive to position a line parallel to a given line and through a given point. They observe that the equation will have...
CK-12 Foundation
Compound Inequalities: Babysitting
Keep this resource close by. Given conditions on how close by a child must be to a babysitter, scholars use an interactive to position a picture of the child in relation to the babysitter. Compound inequalities help represent the condition.
CK-12 Foundation
Complementary Angles: Corner Kick
Soccer is all about angles. Young mathematicians use an interactive to correctly position the path of a soccer ball so that it reaches the goal. They consider complementary angles when answering a set of challenge questions.
CK-12 Foundation
Vertical Angles: Yo-Yo Eiffel Tower Trick
Yo, yo, learn about vertical angles with a yo-yo. Using an interactive, scholars adjust the position of fingers holding a design from a yo-yo. Answering a set of challenge questions based on the interactive helps clarify understanding of...
CK-12 Foundation
Seasons: Shadow Lengths
Before iPhones and calendars, how did humans determine the seasons of the year? Middle school scientists discover how to use shadows to determine the time of year in an enlightening interactive. Pupils manipulate the sun and examine the...
CK-12 Foundation
Evaluate Relations with Scatter Plots: Regression and Correlation
Introduce the concept of a correlation coefficient using an interactive lesson. Learners begin by manipulating a correlation coefficient and watching a graph change to represent the new value. Questions help strengthen their...