Real-World Ratios & Proportions – Modeling with Equations for Algebra Success

Unlock the power of ratios and proportions by learning how to model and solve real-world problems using algebraic equations. In this video, we explore practical examples—from budgeting and business finance to map scaling and garden planning—all while reinforcing key algebra skills aligned with Common Core State Standards.

This lesson covers how to interpret and solve ratio-based problems using both proportions and linear equations, making it perfect for students aiming to connect math to everyday decision-making.

This video aligns with the following CCSS standards:
HSA.CED.A.3 – Represent constraints by equations or inequalities and interpret solutions as viable or non-viable in modeling contexts.
HSA.REI.B.3 – Solve linear equations and inequalities in one variable, including those with coefficients represented by letters.

What’s included in this lesson:
Finding two numbers based on a given ratio and sum
Using proportions to scale distances on maps
Writing and solving equations for budgeting and spending limits
Allocating garden space using ratios
Calculating average speed using linear equations
Modeling business revenue and expenses with ratios

Each example walks you through how to translate word problems into equations, solve them step by step, and interpret results that make sense in real life.

Ideal for Algebra 1 students, homeschoolers, or anyone seeking CCSS-aligned math practice.

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Time Stamps:
00:00 - Intro
00:24 - Finding Two Numbers from a Ratio
01:46 - Map Distance Conversion
03:12 - Budgeting for Supplies
04:21 - Planning with Ratios and Totals
05:59 - Finding Average Speed
7:08 - Summary
7:25 - Includes a bonus question at the end to extend learning and reinforce the concepts taught in the video.

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