Inverse Relationship Teacher Resources
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In this inverse variation worksheet, students use their graphing calculators to answer equations using inverse variations. They create a table for an inverse equation and then graph the information. This five-page worksheet contains 3 multi-step equations. Explanations, examples and calculator keystrokes are provided.
In this inverse variation activity, students solve 5 multiple choice problems. Students find the constant of variation given an inverse relationship. Students find an unknown variable given an inverse relationship.
Exploring Function Graphs
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.
Fifth graders explore the inverse proportional relationship and direct proportional relationship. They complete division chart showing the inverse relationship and direct relationship. Students are shown that division problems can be written in three different ways or more.
Squares and Square Roots
Students investigate the concept of square roots and exponential growth. They solve problems involving square roots and the teacher must create examples for visual learners. Then students take part in independent practice to solve new problems using exponents.
Family at Home
Students fold paper to form a house, then use three numbers to make fact families for their houses. They write a family of multiplication and division facts on a piece of paper cut in the shape of a house.
High schoolers explore Phillips Curve Data over inflation and unemployment from the 1960's. In this economic data lesson, students review provided data to create their own Phillips Curve and complete provided worksheets to show understanding of the Phillips Curve and how it works.
More Fun with Fraction Strips
Students work with fraction strips to compare and order fractions. They develop skills in problem solving and reasoning as they make connections between various fractions.
Wage Curve Theory
Students examine both the Phillips Curve and the Wave Curve theories of economics. They read case studies which have implications for labor economics as well as macroeconomics.
Sloping and Intersecting a Linear Function
Young scholars examine and discuss typical linear equations, and the difference between a linear and nonlinear equation. They observe examples of linear equations and complete a worksheet.
The Balancing Act of the Fulcrum
Students discuss an inverse variation, using the example of people balancing on a seesaw. They discuss the property of levers, observe examples, and complete a Balancing Act of the Fulcrum worksheet.
Subtracting Integers with Counters
Learners subtract integers using counters. In this algebra lesson plan, students solve linear equations using an online tool. They use subtraction to isolate the variable.
Solving Systems of Equations Graphically
It's great to apply algebra to real-world situations. Discuss examples of how a system of equations is used in everyday scenarios. Your math analysts will graph the system of equations, view examples, and complete a worksheet. Two web links, examples, worksheet, and answer key are all included.
Light It Up
High schoolers experiment with a mirror and laser pointer, so that a reflected light image hit a designated target. They develop several rational functions and explore the relationship between the graph, the equation, and problem context.
Liberty Vs. Security
Twelfth graders examine civil liberties. In this U.S. government lesson, 12th graders analyze presidential speeches throughout history that address the balance between liberty and security. Students use their findings to write essays about the cause and effect relationship between liberty and security.
pKa and pKb Relationship
Sal illustrates the all-important relationships between pKa and pKb in this chemistry video. This relationship is what determines whether an acid is considered to be "weak," or "strong." The mathematics behind figuring out these relations are presented in a clear fashion.
Inverse Relationships (5)
In this addition and subtraction fact family worksheet, learners use the numbers given to fill in the missing numbers in each pair of fact families. Students solve 60 problems.
Students graph functions and their inverse. In this graphing functions and their inverse lesson, students plot a point and its' image. Students plot the exponential and logarithm functions. Students find the slope of the function and its inverse by taking the derivative.
Composite Functions and Inverse Functions
In this function worksheet, students complete five lessons all with exercise sets, examples, and definitions, and one set of miscellaneous exercises. The concepts covers include: composite functions, inverse functions, graphs of functions including modelling repeated patterns.
Introduction to Inverse Functions
Students investigate patterns of inverse functions. For this algebra lesson, students represent functions with the calculator and on paper. They analyze their data and draw conclusions.