This lesson will allow students to become familiar with the concept of unit rate. Through an open investigation students will develop methods to find unit rate with a table, equivalent ratios, or an equation. This is a lesson to be used as part of a unit with "Painter Problems" and "How Big Should It Be?"

Students learn about radar imaging and its various military and civilian applications that include recognition and detection of human-made targets, and the monitoring of space, deforestation and oil spills. They learn how the concepts of similarity and scaling are used in radar imaging to create three-dimensional models of various targets. Students apply the critical attributes of similar figures to create scale models of a radar imaging scenario using infrared range sensors (to emulate radar functions) and toy airplanes (to emulate targets). They use technology tools to measure angles and distances, and relate the concept of similar figures to real-world applications.

In this Math video lesson on rates, students will explore ways of writing rates, then, they will develop arguments for comparing and making conclusions about them; finally, they formalize their ideas by making justifications recording the data in complete sentences. This resource supports English language development for English language learners.

This unit on ratio and proportional understanding will be taught over the course of three weeks. This unit is designed to provide students with a thorough understanding of ratios and proportions, because they are used so much in everyday life applications, and they are a natural extension after the student understands the basics of fractions taught in the 6th grade. Students will analyze proportional relationships and use them to create equations, compute unit rates, and sketch graphs of relationships on the coordinate plane. Ratio and proportional reasoning is taught at the beginning of the year. It is anticipated that students will come from 6th grade with a basic introduction and foundation of ratio and proportional reasoning. Students should have a basic understanding of fractions and equivalent fractions. The concept of ratio is taught thoroughly, including its connection with fractions. Learning about equivalent ratios will lead into the discussions of proportions. Proportions are solved by thinking about equivalent ratios and with the concept of cross-multiplication.

A work in progress, CK-12's Math 7 explores foundational math concepts that will prepare students for Algebra and more advanced subjects. Material includes decimals, fractions, exponents, integers, percents, inequalities, and some basic geometry.

This task asks students to solve a problem in a context involving constant speed. This task provides a transition from working with ratios involving whole numbers to ratios involving fractions.

In this lesson, students understand that P percent is the number P/100 and that the symbol % means percent. Students convert between a fraction, decimal, and percent, including percents that are less than 1% or greater than 100%. Students write a non-whole number percent as a complex fraction.

This lesson unit is intended to help teachers assess whether students are able to: identify when two quantities vary in direct proportion to each other; distinguish between direct proportion and other functional relationships; and solve proportionality problems using efficient methods.

In this video, Ratey the Math Cat, points out the rates and proportions in daily life.

This 90-minute lesson (15-minute pre-lesson, 60-minute lesson and 15-minute follow up lesson or homework) asks students to analyze proportional relationships to solve real world and mathematical problems. The examples use recipes, paint, and buildings. Students begin by working individually, then in pairs or threes, and then as a whole class. Student will need calculators, large sheets of paper to make a poster and the lesson materials.

In this lesson, students demonstrate their knowledge of recognizing and using proportional relationships.

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 7th Grade Math. 

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 7th Grade Math. 

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 7th Grade Math.

In this lesson, students understand the terms original price, selling price, markup, markdown, markup rate, and markdown rate. Students identify the original price as the whole and use their knowledge of percent and proportional relationships to solve multistep markup and markdown problems. Students understand equations for markup and markdown problems and use them to solve markup and markdown problems.

This resource provides proportions problems for students to solve. Students are able to have a hint provided and check their answers.

In this lesson, students use ratio tables and ratio reasoning to compute unit rates associated with ratios of fractions in the context of measured quantities such as recipes, lengths, areas, and speed. Students work together and collaboratively to solve a problem while sharing their thinking process, strategies, and solutions with the class.