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...
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...
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...
Curated OER
Very Varied - Inverse variation
Students identify inverse variations. In this inverse variation lesson, students explore graphs and identify the inverse variation. They write equations for the inverse variation. Students compare and contrast the inverse variation...
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...
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.
Curated OER
Discovering Ohm's Law
Connect math with science! Pupils apply properties of Ohms Law as they solve problems and identify the inverse relationship of a function. They analyze the shape of the graph of an inverse function and use it to make predictions.
Curated OER
WINDMILL POWER
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...
Curated OER
Direct, Inverse and Joint Variation
Eleventh graders identify, create and solve word problems involving inverse variation. In this algebra lesson, 11th graders solve problems using direct, inverse and joint variation. They identify problems using these methods.
Curated OER
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...
Curated OER
Be Direct - Oil Spills on Land
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...
Curated OER
Direct, Inverse, And Joint Variation
Students engage in a lesson that has them practice solving equations using multiplication and division. They practice solving problems using the properties needed and then students practice changing word problems into an equation.
NASA
Lights on the International Space Station
Groups explore illumination with NASA's Lighting Environment Test Facility (LETF) as a context. Using the TI-Nspire app, groups determine the lux equation that models their simulation. They then use the lux equation to solve problems...
Curated OER
Faster speed-Shorter Time
Young scholars calculate the inverse variation, and speed given the formulas. In this algebra lesson, students investigate properties of conics, focusing on the hyperbola. They identify the distance between the directrix and other parts...
Curated OER
Exponential Functions
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
Curated OER
Linear Piecewise Functions
Students explore the concept of piecewise functions. In this piecewise functions lesson plan, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students...
Curated OER
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.
Curated OER
Watts Up Doc?
High schoolers examine the wattage of a light bulb using math. For this algebra lesson, students find the inverse square of given parameter. They work in groups collecting and analyzing data.
Curated OER
Using Random Sampling to Draw Inferences
Emerging statisticians develop the ability to make inferences from sample data while also working on proportional relationships in general. Here, young learners examine samples for bias, and then use random samples to make inferences...
Alabama Learning Exchange
Investigating School Safety and Slope
Learners investigate the slope of various stairways through a "news report" approach and employ mathematical knowledge of applied slope to report on wheelchair accessibility and adherence to Americans with Disabilities Act. They...
Curated OER
Mathematical Models with Applications: The Sounds of Music
Students use an electronic data-collection device to model the sound produced by a guitar string. They identify the graph of a periodic situation and use the graph to determine the period and frequency of sound waves.
Curated OER
Resistance in a Wire
High schoolers find the constant of proportionality and apply it to a situation. They use the electrical resistance in a wire as a context for finding the constant of proportionality. In addition, they write an explanation and...
Alabama Learning Exchange
Writing Word Equations
Students explore the concept of chemical formulas. For this chemical formula lesson, students watch a video about balancing chemical equations. Students conduct an experiment using silver nitrate and sodium phosphate. Students use...