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...

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...

According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps students become intuitive about graphing. 

Use ratios to solve problems that are not proportions. The instructional activity has pupils solve multi-step ratio problems that involve fractional increases and decreases. The problems involve mark-ups, discounts, commissions, and...

In this algebra worksheet, students solve linear equations for the given variable. They use combining like terms to simplify equations. Students use opposite operations to isolate the variable.

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...

Students solve algebraic proportions. In this algebra lesson, students convert between fractions, percents and decimals. They solve problems using the distributive property.

Learning about proportions through measuring and mapping distances is the focus of this real-world math lesson that doubles as an activity. Mathematicians complete a course designed to measure and map locations in order to put the...

Students solve problems using ratios and proportions. In this algebra lesson, students verify proportions, solve for the unknown and use real life scenario to model proportion.

Learners solve problems of ratio and proportions using hands on. In this algebra lesson, students vary the concentration of a fruit drink using parts of a ratio.

Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...

Fifth graders discuss the relationship between equivalent fractions, ratios, and proportions. In this fraction lesson, 5th graders answer questions about a punch mixture in order to find the ratio of ingredients.

Math apprentices are introduced to the components of a linear relationship. In groups, they write story problems that incorporate this relationship and relates to the real world. They give their problem to the class for them to solve.

Can you tell how tall someone is just by looking at their feet? In this activity, young mathematicians measure their height, arm span, and foot size, graph their findings, and answer questions about how these measurements are related....

In this mixture word problem worksheet, students read story problems and determine what information is necessary to solve the mixture problem. They identify the correct solution, graph inequalities, and solve inequality equations. Nine...

Eighth graders participate in using algebraic proportional reasoning to find the missing amount that balances on a scale. Substitution is used to discover the missing objects on a scale. They answer multiple choice questions that are...

Amaze your classes with the ability to find side lengths of triangles immediately — they'll all want to know your trick! Learners use the Pythagorean Theorem and special right triangle relationships to find missing side lengths.

High schoolers 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.

Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...

High schoolers observe relationships between quantities. Students complete activities for three different classes of levers. In groups, high schoolers build each type of lever. Students identify levers in their daily surroundings. High...

Over the course of three class periods, middle schoolers design an experiment to provide learner input to administration about which rock band to invite to play at school. They practice several random sampling exercises, all well...

Students determine the size of the population at a given time. They calculate the time at which the population will be a given number. They observe how the population grows at the rate that is directly proportional to the number of...

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...

Learners discover that proportions are made up of equal ratios each containing the same building blocks. They, using the Internet, apply their knowledge of direct relationships and proportions to problems in planetary science.