Willow Tree
Direct and Inverse Variations
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
Virginia Department of Education
Types of Variations
Scholars determine how two quantities vary with respect to each other. They complete a fill-in-the-blank activity by stating whether the entities vary directly, inversely, or jointly, create equations that match different variations, and...
Virginia Department of Education
Determining Direct Variation
Once learners realize what direct variation is, they see it's just a type of linear function. The lesson poses a general question that leads to the creation of the y = kx formula. The resource includes discussion prompts and ideas for...
CK-12 Foundation
Joint and Combined Variation: Variable Sliders
Learners use a pair of sliders to investigate how changes in a variable affects other variables in joint variation. A set of five challenge questions tests understanding.
Radford University
Exploring Types of Variation Activity
Create a variable list of problems. Groups come up with four scenarios. Each situation represents different types of variation, direct, inverse, joint, and combined. Teams then generate questions about their contextual problems for...
02 x 02 Worksheets
Inverse Variation
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
Cloud Front
Direct Variation Worksheet
Direct variation can be applied to many problems and here is a learning exercise that has learners practicing them all. The skills include graphing, finding proportional relationships, and solving word problems to show how different...
CPM
Direct, Joint, and Inverse Variation
Here is a quick guide to direct, joint, and inverse variation used in realistic situations. Each topic has a page of notes and examples followed by practice problems. The resource explains each type of variation and provides their...
Iredell - Statesville Schools
Direct and Inverse Variation Worksheet
Provide learners with a worksheet that provides problems that focuses on direct and inverse variations, proportional relationships, graphing, and word problems. The goal is to find the outcome and decide what type of variation the...
CK-12 Foundation
Inverse Variation Models: Speedometer for Inverse Variation Models
Model inverse variation while solving a real-world problem. Young scholars use the interactive lesson to discover the pattern of inverse variation data. They then use that discovery to write and analyze an equation.
Illustrative Mathematics
Comparing Growth, Variation 2
A twist on the first variation of the growth task, this task poses an argument on two explanations of which snake grew more, based on the idea that two is a larger part of six rather than 10.
CK-12 Foundation
Direct Variation: Value of a Painting
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.
Curated OER
Very Varied - Inverse variation
Students identify inverse variations. In this inverse variation instructional activity, students explore graphs and identify the inverse variation. They write equations for the inverse variation. Students compare and contrast the...
Curated OER
Direct Variation
In this algebra learning exercise, students solve equations by applying direct variation relationship. They solve problems using proportions and ratios while using direct variation. There are 3 problems with an answer key.
Curated OER
Direct Variation
In this Algebra I/Algebra II instructional activity, students solve problems involving direct variation. The two page instructional activity contains a combination of twelve multiple choice and free response questions. Answers are...
Curated OER
7.RP Music Companies, Variation 1
We've got the beat! And your musically-minded mathematicians will tap their toes as they determine which music company would be getting a better deal based on their offers to buy out TunesTown. The topic is extended in an additional task...
Radford University
I Want to Rock!
Find the best deal on music. Small groups create playlists of music and determine the cost based on different pricing structures. They determine whether the pricing structure represents a direct or inverse variation relationship by...
Curated OER
Exercise Set 3.3: Variation
In this variation worksheet, students solve 26 variation problems. Students determine the missing variable by using joint, direct, or inverse variation.
Illustrative Mathematics
Drinking Juice, Variation 2
An excellent activity using word problems where pupils interpret and compute quotients of fractions. The commentary includes using a fraction bar model and equations to represent the problem. In this variation of the resource, the...
CK-12 Foundation
Coefficient of Variation: Diverse Populations
What is the height of school clubs? Learners use sliders to calculate the coefficient of variation for three different school groups. Using the calculations, class members compare the variation in the heights of the groups.
Curated OER
Direct Variation
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.
Curated OER
Direct and Inverse Variation
In this direct and indirect variation worksheet, students solve 4 direct variations. Students then solve 4 indirect variations.
Curated OER
Quiz: Direct Variation
In this direct variation learning exercise, students solve ten questions about direct variation. Each problem is presented in story problem format. Students write the direct variation equation and solve for the required information.
Curated OER
Direct Variation
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...
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