UNIT RATES AND PROPORTIONAL RELATIONSHIPS - Lesson for High School - Calculating Unit Rates

Sep 2, 2026

This high school lesson explains rates as ratios between quantities with different units and shows how rate describes how quickly one quantity changes relative to another. It introduces unit rate as a special rate where the denominator is always one unit and demonstrates compound unit examples. Step-by-step worked problems then guide students through expressing a rate as a fraction, dividing quantities, forming the compound unit, and interpreting results. Real-life scenarios help apply unit-rate calculations to distance, time, and consumption.

LanguageEnglish

CategoryExam

FormatPPTX

Pages1

Reading Time3 min

AccessFree to download

Lesson Outline

What is a Rate?

Calculating Unit Rates

What is a Unit Rate?

Real-Life Applications

UNIT RATES AND PROPORTIONAL RELATIONSHIPS Lesson for High School LESSON OUTLINE What is a Rate? Calculating Unit Rates What is a Unit Rate? Real-Life Applications Did you know that the cheetah holds the record for being the fastest mammal on land? It can reach speeds of around 60 miles per hour. The concept of unit rate helps us calculate its speed and compare it to other animals. In this lesson, we'll learn about unit rates and how to calculate them. INTRODUCTION WHAT IS A RATE? Rate is the ratio between two quantities with different units. Rate tells how quickly one quantity changes in relation to another quantity. Elliot can type 40 words in 60 seconds. Rate = 40 words 60s EXAMPLES OF RATE The athlete ran 200 meters in 25 seconds. A pack of apples costs 3 dollars for a weight of 1.5 kg. Rate = 200m 25s Rate = $3.00 1.5kg WHAT IS A UNIT RATE? A type of rate where the denominator or second quantity in the ratio is always 1 unit. A unit rate has a compound unit. Sample Compound Units for Unit Rates miles per hour (mi/h) meters per second (m/s) liters per day (L/day) Rate = CALCULATING UNIT RATES Sample Problem: The athlete ran 200 meters in 25 seconds. 200m 25s 01 Express the rate as a ratio in fraction form. STEP 1 CALCULATING UNIT RATES 02 Rate = Sample Problem: The athlete ran 200 meters in 25 seconds. 200m 25s Unit Rate = 200m ÷ 25s STEP 2 Divide the numerator and denominator. CALCULATING UNIT RATES 03 Write the compound unit. Combine the two quantities to get the compound unit. Rate = Sample Problem: The athlete ran 200 meters in 25 seconds. 200m 25s Unit Rate = 200m ÷ 25s Unit Rate = 8m/s STEP 3 CALCULATING UNIT RATES Sample Problem: The athlete ran 200 meters in 25 seconds. Unit Rate = 8 m/s This means that the athlete runs at a unit rate of 8 meters per second. REAL LIFE APPLICATIONS LESSON ACTIVITY Let's calculate the unit rates in each scenario. Diana walked 450 meters in 30 minutes. James made 56 pieces of paper flowers in 28 minutes. Allan used four cups of water per 1.2 tablespoons of syrup. REAL LIFE APPLICATIONS ANSWER KEY Let's calculate the unit rates in each scenario. Diana walked 450 meters in 30 minutes. James made 56 pieces of paper flowers in 28 minutes. Allan used four cups of water per 1.2 tablespoons of syrup. Rate = 450 m 30 min Rate = 56 pcs 28 min Rate = 4 cups 1.2 tbps Unit Rate = 4 cups ÷ 1.2 tbsp Unit Rate = 450 m ÷ 30 min Unit Rate = 56 pcs. ÷ 28 min Unit Rate = 15 m/min Unit Rate = 2 pcs/min Unit Rate = 3.333 cups/tbsp THANK YOU! This presentation template uses the following free fonts: You can find these fonts online too. TITLES: ANTON BODY COPY: CABIN #9BD4ED Use these design resources in your Canva Presentation. DON'T FORGET TO DELETE THIS PAGE BEFORE PRESENTING. RESOURCE PAGE Fonts Design Elements Colors ##EF6816 #728341 This presentation template is free for everyone to use thanks to the following: Happy designing! for the presentation template for the photos CREDITS Pexels, Pixabay

FAQs

What is a rate, and what does it tell you?

A rate is the ratio between two quantities with different units. It tells how quickly one quantity changes in relation to another quantity.

What makes a unit rate different from other rates?

A unit rate is a type of rate where the denominator (second quantity) is always 1 unit. It also has a compound unit.

How do you calculate a unit rate step by step?

Express the given rate as a fraction, divide the numerator and denominator, then write the resulting compound unit. The final value represents the amount per one unit of time, weight, or other measured factor.

Sep 2, 2026

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