Ratios

5th–8th

Ratios and proportional reasoning unlock middle-school math — from recipes to map scales to unit rates.

6 articles

Skills your child will master

Writing and interpreting ratios
Equivalent ratios and ratio tables
Unit rates and rate comparison
Solving proportions
Scaling and proportional relationships

Starts with concrete comparisons kids already make (recipe doubling, mixing paint) and formalizes the math from there.

Proportions

5th–6th1

What Is a Proportion?

A proportion states that two ratios are equal. Here is what that means, how to solve proportions, and why they matter.

2 min read5th–6th

Ratio Basics

5th–6th1

What Is a Ratio?

A clear explanation of ratios — what they are, how to write them, and how they differ from fractions. Written for parents helping their child with math.

2 min read5th–6th

Ratios & Proportions

5th–6th1

How to Teach Ratios and Proportions

Ratios are the bridge from arithmetic to proportional reasoning — one of the most important thinking skills in math. Here is how to teach ratios so your child sees relationships, not just numbers.

4 min read5th–6th

Scale & Proportion

5th–6th1

How to Teach Scale Drawings and Maps

Scale drawings connect ratios to geometry. Here is how to teach your child to read, create, and reason with scales — from classroom math to reading real maps.

3 min read5th–6th

Unit Rates

5th–6th1

How to Teach Unit Rates

Unit rates are everywhere — miles per hour, price per ounce, heartbeats per minute. Here is how to teach this essential skill so your child can compare, calculate, and reason with rates.

3 min read5th–6th

Grade Expectations

6th–8th1

Math Expectations: 6th Through 8th Grade

A clear guide to the math skills your child should master in grades 6 through 8 — from ratios and proportions to algebra, integers, geometry transformations, and functions. The bridge to high school math.

6 min read6th–8th

Your child's path through ratios — automated

Lumastery builds a personalized path through these skills. They practice daily. You get weekly reports. No lesson planning required.

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