Direct Variation Teacher Resources
Find Direct Variation educational ideas and activities
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What Does Direct Variation Look Like on a Graph?
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.
How Do You Solve a Word Problem Using the Direct Variation Formula?
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.
Recognizing Direct and Inverse Variation
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.
Graphs of Direct Variation
Students identify graphs for direct variation. In this algebra worksheet, students analyze graphs to determine their direct variation. They also determine whether the graphs are functions or not.
Graphs and Direct Variation
Students solve problems with direct variation. In this algebra lesson plan, students analyze graphs to figure out the direct variation of a line. They observe the slopes based the steepness of the lines.
Graphing Calculator Activity: Direct Variation
In this calculator activity, 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.
Direct and Inverse Variation
Eighth graders participate in two data collection activities that involve direct and inverse variation. In the pre-assessment, 8th graders categorize numerical, graphical, and verbal representations as linear or nonlinear and determine which linear representations are also direct variation relationships.
Students create a design of a circle. In this geometry lesson, 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.
Direct Variation 1
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.
Ninth graders explore the concept of pi in preparation for developing a project for pi day. They examine direct variation, the history of pi, circle circumference and arc length, area and sector area and then consider how these concepts apply to a project.
Direct Variation Models
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.
In this direct variation instructional activity, 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.
Direct and Inverse 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.
Be Direct - Oil Spills on Land
Students participate in an activity to simulate direct variation. In this oil spills on land lesson, 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.
Direct and Inverse Variation
Eighth graders explore the concept of direct and inverse variation. For this direct and inverse variation lesson, 8th graders participate in an activity involving collecting data that varies directly. Students record the number of x's that can be drawn in 5, 10, 15, 20, 25, and 30 seconds. Students collect non-linear data using fulcrums, rulers, and pennies. Students compare the data from the x activity and the fulcrum activity.
Direct, Inverse and Joint Variation
Eleventh graders identify, create and solve word problems involving inverse variation. In this algebra lesson plan, 11th graders solve problems using direct, inverse and joint variation. They identify problems using these methods.
Students study operations with real numbers using mental computation or paper-and-pencil calculations. They judge the reasonableness of numerical computations and their results. They set up and solve proportions for direct and inverse variation of simple quantities.