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6th Grade Ratios & Proportions – Guided Notes Trifold

Fold-and-write trifold guided notes walk sixth graders through ratio language, unit rate, equivalent ratios, and percent problems, each section paired with prior-knowledge warm-ups, worked examples, and an answer key.
Grades
Grade 6, Middle School
File type
PDF
Preparation
Print ready

Updated Sep 28, 2026

Subject
Math, Percentages
Topic
ratios, percents
Preparation
Print ready

About this resource

What's inside this resource

The 6th Grade Ratios + Proportional Relationships: Student Guided Notes is a great packet to hand out to students during your ratio unit.

This is a great way for students to keep track of their learning.

You can use these during whole group instruction or even small group remediation

These notes are detailed with graphic organizers and fill in the blanks.

Answer keys are included.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Students use ratio language to describe the relationship between two quantities (6.RP.A.1).

  • Students find and use unit rates to solve real-world rate problems (6.RP.A.2).

  • Students make tables of equivalent ratios and use them to compare ratios (6.RP.A.3a).

Teaching tips

  • Fold and store the notes in a folder, binder or glued-in composition-book pocket. The trifold itself needs no gluing.

  • Project each notes page and complete it alongside students during whole-group instruction, or use the pages for small-group review.

  • When printing, select 'Shrink Oversized Pages' so the trifold layout prints correctly. Use these equivalent ratio notes when students need more worked examples.

Skills covered

  • Ratio language — students describe relationships between two quantities using ratio vocabulary (6.RP.A.1).

  • Unit rate reasoning — students calculate and apply unit rates to compare costs, speeds, and quantities (6.RP.A.2).

  • Equivalent ratio tables — students build and use tables of equivalent ratios to compare and find missing values (6.RP.A.3a).

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Curriculum

Standards, concepts & topics

Standards

  • 6.RP.A.1 — Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.”
  • 6.RP.A.2 — Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”1
  • 6.RP.A.3 — Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. b. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed? c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Core concepts

  • ratio language

  • unit rate

  • equivalent ratios

  • measurement conversion

  • percent of a quantity

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