Interactive
CK-12 Foundation

Forms of Linear Equations: Equation Exploration

For Students 8th - 9th Standards
Different forms, same line. Young mathematicians investigate the standard form, slope-intercept form, and point-slope form of a linear equation. An interactive has them adjust lines on a coordinate plane to see changes in each form of...
Interactive
CK-12 Foundation

Graphs of Linear Systems: Star Lines

For Students 8th - 10th Standards
Let the class stars shine. Using four given linear equations, scholars create a graph of a star. The pupils use the interactive to graph the linear systems and determine the points of intersection. Through the activity, classmates...
Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 2

For Students 8th - 10th Standards
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: XYZ Tiles

For Students 8th - 10th Standards
Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...
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

Linear Systems with Addition and Subtraction: Fill in the Boxes 1

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

Linear Equations: Temperature Transitions

For Students 8th - 10th Standards
Explore linear conversions using an engaging interactive lesson. Learners drag a point on a graph to discover the equivalent degrees in Fahrenheit and Celsius. Embedded questions highlight key features such as slope and the...
Interactive
CK-12 Foundation

Graphs of Linear Systems: Heart Rate Tracker

For Students 8th - 10th Standards
Max out heart rates for males and females. Formulas of maximum heart rates provide the equations for a linear system. Pupils use the interactive to graph the equations for males and females and determine their points of intersection. The...
Interactive
CK-12 Foundation

Applications of Linear Systems: Alcohol Solution in Nursing

For Students 8th - 10th Standards
Solve alcohol systems to find the right solution. The interactive allows pupils to manipulate the amount of a solution and displays the total amount in a mixture. Individuals determine the amount of each solution needed to make 15 liters...
Interactive
CK-12 Foundation

Slope-Intercept Form of Linear Equations: Cable Car Tracks

For Students 7th - 10th Standards
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.
Interactive
CK-12 Foundation

Determining the Equation of a Line: Temperature Conversion Challenge

For Students 8th - 10th Standards
Line up the temperature conversions. Pupils create the linear function between Celsius and Fahrenheit on a graph by plotting the freezing and boiling points of water. The scholars determine how the relationship changes based upon...
Interactive
CK-12 Foundation

Checking Solutions to Equations: Taxi Cab Calculations

For Students 8th
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.
Interactive
CK-12 Foundation

Systems of Linear Equations in Three Variables: Intersecting Planes - No Solution

For Students 9th - 12th
How many different ways can three planes intersect? The interactive provides three movable planes. Pupils manipulate the planes to determine the number of solutions possible based upon their intersections.
Interactive
CK-12 Foundation

Linear Programming: Bakers' Dilemma

For Students 9th - 12th Standards
Place the pies in a line. Pupils create a graph of a system of linear inequalities to represent the number of pies a bakery can make. Learners analyze the vertices on the graph to determine the number of pies they can bake without...
Interactive
CK-12 Foundation

Solving a Matrix Equation: Mystery Matrix

For Students 10th - 12th Standards
Solve a matrix in code—color code. Pupils use the interactive resource to set up the matrix equation and its solution path. Scholars use the created solution path to determine the entries of the 2 X 2 solution.
Interactive
CK-12 Foundation

Applications Using Linear Models: Scuba Diving

For Students 7th - 10th Standards
Dive into this resource on rates of change and linear models. Pupils use two sliders in an interactive to adjust water temperature and depth. They use a given linear equation to calculate the rate of change in water temperature per unit...
Interactive
CK-12 Foundation

Equations of Parallel Lines: Exploring Equations

For Students 9th - 11th Standards
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...
Interactive
CK-12 Foundation

Equations of Perpendicular Lines

For Students 9th - 11th Standards
Investigate how the equation y = -1/x relates to perpendicular lines. Pupils align an arrow using an interactive so it is perpendicular to a bow string. A set of challenge questions helps learners discover slopes of perpendicular...
Interactive
CK-12 Foundation

Determining the Equation of a Line: Trip Functions

For Students 8th - 10th Standards
Let the function drive the activity. The interactive displays the odometer on a car for a trip. Pupils determine and interpret the slope of the situation. Then, they find a verbal description of the equation of the function.
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

Intercepts and the Cover-Up Method: The Hidden Zeros

For Students 7th - 10th Standards
There's no need to cover up this resource — it's good one! Pupils use a slider interactive that covers up parts of the standard form of a linear equation and simultaneously reveals one of the intercepts of the graph. This lets them see...
Interactive
CK-12 Foundation

Cramer's Rule

For Students 10th - 12th Standards
Use matrices to solve systems of equations. The interactive introduces Cramer's Rule, using determinants of matrices to solve systems of equations. Color coding helps pupils place entries correctly from the system.
Interactive
CK-12 Foundation

Direct Variation: Value of a Painting

For Students 9th - 12th Standards
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.
Interactive
CK-12 Foundation

Graphs of Linear Model of Direct Variation: On the Moon

For Students 8th - 12th Standards
You'll be over the moon about this resource. Scholars draw a line representing the weight of an object on the moon based on its mass. Consideration of the constant of proportionality allows them to see relationships between weight of an...

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