Direct Variation Teacher Resources
Find Direct Variation educational ideas and activities
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y=kx. This is the direct variation equation. You have been given a table of values. So look at the table and figure out how to use this equation to write an equation that represents what is happening in the table. Does the equation represent the relation you are looking for?
Use the formula for direct variation to solve for y, after finding the value of k. When you use the formula and determine the value of k and x, you can plug in those values to determine the value of y. A quick tutorial that takes you through this process in only a few minutes.
This problem may sound a bit confusing, but the teacher does a great job explaining what direct variation is. So watch this video and learn about k. It is a pretty direct explanation.
Direct variation? Constant of variation? Constant of proportionality? Two variables related? If one variable changes what happens to the other variable? What do all these terms have to do with each other? Watch this video as the instructor illustrates and explains what all these terms mean and how they are connected.
In a graph of a direct variation, the line must pass through the origin, (0,0). See the teacher illustrate what that looks like on a graph.
Have your class figure out how much "Teddy" weighs on the moon and how to translate words into algebra! This video shows pupils how to take a word problem, and then solve it using the direct variation formula and given information. Great if your class is working on direct proportionality and word problems.
Sometimes it is not always obvious which equations are direct variation and which are inverse variation. In this video, five different equations are considered. Each is manipulated and rewritten to determine whether there is a direct or inverse variation, or as in one case, neither. Think about having learners first come up with their own interpretation before watching the videoÕs solution.
Taking his time to thoroughly explain the process of a word problem involving the slope of a line, Sal demonstrates two problems involving units and measurement. Those who struggle with applying algebraic methods to word problems will be relieved to see how Sal does it.
Have your class figure out how much "Teddy" weighs on the moon and how to translate words into algebra! This video shows pupils how to take a word problem, and then solve it using the direct variation formula and given information. Great if your class is working on direct proportionality and word problems.
In a graph of a direct variation, the line must pass through the origin, (0,0). See the teacher illustrate what that looks like on a graph.
Students create a design of a circle. In this geometry lesson plan, students identify the measure of the diameter and radius of a circle. They graph and analyze their collected data and write equations based on direct variation.
Students identify the properties of a circle. In this geometry lesson, students use direct variation to solve problems. they make inferences and analyze collected data about circles.
This video solves a basic direct variation problem where the cost of buying gas for your car varies directly with the number of gallons you need to purchase. Sal shows how to write a direct variation equation based on this problem and solve a related question.
What is a constant variation? How can something change and be constant? Oh, the rate of change is constant. So if there are two variables that are directly proportional they can have a constant of variation? Yes! Still a bit confused? Then watch this video.
In this direct variation worksheet, students answer 4 multiple choice questions that involve identifying a direct and constant variation and writing the direct variation equation.
In this direct variation worksheet, 11th graders solve 11 different problems that include applying direct variation to solve. First, they find the constant of the variation described. Then, students use the charts at the bottom of the sheet, to determine if one variable varies directly with the other variable in each set.
In this Algebra II worksheet, 11th graders solve problems involving direct variation. The two page worksheet contains explanation, examples, and twenty-one problems. Answers are not included.
For this calculator worksheet, students explore various functions and graph each one through guided practice. Though independent practice, students read three story problems, write a function for the problem, create a table, and identify the constant ratio. Students graph the function and explain direct variation.
In this overview video of direct and inverse variation, Sal shows the general form of each equation and their differences. By highlighting how the x and y values vary with direct and inverse variation examples, the listener gains an intuitive understanding of the differences. This is a good video to introduce variation; additional examples are shown in subsequent videos.
Students participate in an activity to simulate direct variation. In this oil spills on land lesson plan, students participate in a simulation using toilet paper and vegetable oil to explore the characteristics of direct variation. They identify the relationship of direct variation in real-world problems.