Shodor Education Foundation
Derivate
Derive tangent lines through derivatives. Scholars use an app to graph functions and investigate derivatives and tangent lines. The interactive automatically graphs a tangent line at a specified point and can also produce tables of values.
CK-12 Foundation
Graphs of Linear Systems: Heart Rate Tracker
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...
Curated OER
Simultaneous Equations for Circuit Analysis
In this worksheet, students use Algebra to plot different solutions to equations and analyze schematics in order to answer a series of 25 open-ended questions about electrical circuits. This worksheet is printable and the answers are...
CK-12 Foundation
Graphs of Linear Systems: Star Lines
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...
CK-12 Foundation
Determining the Equation of a Line: Temperature Conversion Challenge
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...
CK-12 Foundation
Parabolas: Invisible Graph
Envision the function as the point swings. Given a point connected to another point and a line, pupils trace through an invisible graph. Learners identify the name of the given point and the line and determine the type of conic section...
PHET
Graphing Slope-Intercept
Slope-intercept form ... perhaps it has something to do with slope and intercepts? An easy-to-use interactive lets users adjust the locations of two points on a line. The interactive automatically updates the slope-intercept form of the...
PHET
Graphing Lines
Ready to increase pupils' understanding of slope with an upward slope? Scholars use an interactive that allows users to move two points on a coordinate plane. The interactive then automatically calculates the slope, the slope-intercept...
CK-12 Foundation
Horizontal and Vertical Line Graphs
See how vertical and horizontal lines have special equations. Scholars drag vertical and horizontal lines onto a coordinate plane to graph given equations. They then answer a set of challenge questions on the topic.
CK-12 Foundation
Graphs Using Slope-Intercept Form: Zip-Line
Zip lines aren't so scary when all your scholars use them for is math. Young mathematicians see how the slope of a zip-line to a building changes as the height changes. They answer a set of challenge questions regarding the scenario.
CK-12 Foundation
Graphs of Linear Model of Direct Variation: On the Moon
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...
Shodor Education Foundation
Regression
How good is the fit? Using an interactive, classmates create a scatter plot of bivariate data and fit their own lines of best fit. The applet allows pupils to display the regression line along with the correlation coefficient. As a final...
CK-12 Foundation
Input-Output Tables for Function Rules
How does changing a graph affect the function? Learners watch the changing input-output table as they adjust the location of the line graph. Questions prompt them to complete a table of values and determine the function rule.
CK-12 Foundation
Inverse Functions
Provide a graphical view of inverses. Pupils manipulate points on a line and see the relationship of the graph with the graph of its inverse. Using the relationship between the graphs, scholars respond to questions concerning inverses...
GeoGebra
All For One, One For All
Will someone please constrain those pets? Pupils create two constraint equations on the number of cats and dogs for a pet sitter. They choose specific points and determine whether the point satisfies one or both constraints. The...
Curated OER
Pairs of Lines Multiple Choice
In this algebra worksheet, students identify the slope and y intercept of lines. They compare the slope of perpendicular and parallel lines and find the missing slope. There are 6 questions with an answer key.
Curated OER
Graphing of Functions Using First and Second Derivatives
In this calculus learning exercise, students solve problems using the first and second derivatives. They define the behavior of the function based on the derivative. There are 11 questions with an answer key.
CK-12 Foundation
Linear Programming: Bakers' Dilemma
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...
Curated OER
Systems of Linear Inequalities
In this Algebra I/Algebra II worksheet, students solve systems of linear inequalities by graphing the inequalities on a coordinate plane and determining the location of all ordered pairs that solve the system. The three page...
Curated OER
Moving Straight Ahead
In this functions worksheet, 9th graders solve and complete 24 various types of problems. First, they complete the table with the correct distance for each hour given. Then, students enter the coordinate pairs into the function table...
Curated OER
AC Phase
In this AC phase worksheet, students answer 24 questions about AC and DC voltages, phasor diagrams, sine wave graphs and Lissajous figures.
Curated OER
Differentiation of Trigonometry Functions
For this trigonometry worksheet, students differentiate the different trigonometric identities. They derive the sine, cosine, tangent and inverses of these trig identities. There are 18 questions with an answer key.
Curated OER
Logarithmic Differentiation
In this calculus activity, 12th graders perform logarithmic differentiation on functions for which the ordinary rules of differentiation do not apply. The one page interactive activity contains eleven problems. Answers are...
Curated OER
Implicit Differentiation Problems
In this calculus worksheet, students perform implicit differentiation to take the derivative. They solve function explicitly of x. They differentiate between implicitly and explicitly. There are 16 problems with an answer key.