Math Unit - Ratios and Percentages is a homeschool math curriculum unit for ages 10–12 focused on ratios, rates, percentages, and measurement conversions. Students begin by representing and comparing ratios, then use tape diagrams, double number lines, tables, and coordinate-plane graphs to solve ratio problems. Activities such as the “Percentages, Fractions, and Decimals” Interactive Notebook reference, and “Unit Conversion Ratios,” give students concrete ways to apply ratio and percentage reasoning. The unit combines visual models, structured practice, mathematical reasoning, and real-world problem solving.

At a Glance

Age Range: Ages 10–12 (usually 6th grade)
Estimated Time Commitment: 11 instructional lessons, approximately 45 minutes each
Prerequisites: Ability to work with fractions, multiply and divide, understand decimals, and convert between fractions and decimals
Student Independence: Designed for students to work independently, with parent support as needed
Includes: Student-directed lessons, parent overviews, answer keys, access to the online quiz tool, and a digital portfolio
Required items: Math Materials Kit, and any required math literature sold separately

This unit is part of the age 10-12 full year math program, which covers all sixth-grade math standards and approximately half of the seventh-grade standards.

Key Features

• Mathematical Reasoning: Students solve ratio problems with tape diagrams, double number lines, tables, and coordinate-plane graphs, giving them several ways to represent equivalent ratios.
• Real-World Application: Students calculate unit rates and unit prices in contexts such as miles per hour, grocery prices, and quantities per unit.
• Percent Relationships: In “Percentages, Fractions, and Decimals,” students shade grids, convert among forms, and build an Interactive Notebook reference before solving part, whole, and percent problems.
• Measurement Reasoning: “Unit Conversion Ratios” helps students use equivalent ratios to convert measurements such as cups to pints, centimeters to millimeters, and kilograms to pounds.
• Applied Consumer Mathematics: In the final comparison-shopping project, students collect product data, compare unit prices, convert package sizes when needed, and determine the mathematical “best buy.”

Learning Outcomes

By the end of this unit, students will be able to:

• Represent ratios in multiple forms and distinguish among part-to-part, part-to-whole, and whole-to-part ratios.
• Create and solve equivalent ratios using diagrams, tables, graphs, and numerical methods.
• Calculate unit rates and unit prices and apply them to real-world situations.
• Convert among fractions, decimals, and percentages.
• Solve percentage problems involving finding a part, a whole, or a percent.
• Convert measurements using equivalent ratios and dimensional analysis.
• Compare consumer products by calculating unit prices and explaining factors that may affect a purchasing decision.

Math Unit - Ratios and Percentages helps students connect ratio, rate, percentage, and conversion skills through visual models and real-world applications. Instead of practicing each skill in isolation, students use these ideas together in problem solving and a comparison-shopping project, helping them build understanding and confidence in how the math works.

This item includes free online access to Beyond the Page Online for 18 months. This includes Learning Gates, Portfolio and any curriculum or student activity pages that you have purchased.