A Program of The Actuarial Foundation. Aligned with Common Core State and NCTM Standards.
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What is an actuary? An actuary is an expert in statistics who works with businesses, governments, and organizations to help them plan for the future. Actuarial science is the discipline that applies math and statistical methods to assess risk.

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Designing RATIOnally

Ratios and Unit Rate 

Welcome to "Designing RATIOnally," a new suite of ratio materials designed to support students in grasping an understanding of ratio and proportional reasoning concepts while highlighting the value of math in real-world situations and careers.

Developed by The Actuarial Foundation with Scholastic, the program motivates students through interactive experiences with the real-world uses of ratios and unit rates. The lesson flexibly incorporates online and offline components, including:

  • A cutting-edge digital interactive activity enables students to construct scale designs of real-world architectural venues by applying ratio and unit rate calculations.
  • Three engaging printable worksheets (see below) feature an architect who must solve ratio and unit rate problems to design a water treatment facility for a community.

Download the Standards Chart: Common Core State and NCTM Standards (PDF), and access the program using the menu below. 


lessonLesson: Ratios and Unit Rate
Students will represent ratios using different notations as well as perform calculations involving ratios and unit rates.
Includes online and offline components, plus discussion questions.

toolDigital Interactive Activity: "Ratio Design Challenge"

Students will apply ratio and unit rate calculations to construct scale designs of a baseball stadium, amusement park, and aquarium, as well as answer critical-thinking questions.

lesson1Activity Sheet 1: "A Fresh, Clean Design"

In the context of designing a water treatment facility, students will perform ratio and proportion calculations, including calculating a missing part when given ratio information.

lesson2Activity Sheet 2: "A First-Rate Design"

Students will apply unit rate calculations to situations arising in the design and construction of a water treatment facility.

lesson3Activity Sheet 3: "Keeping It All in Proportion" (Advanced)

In this advanced activity sheet, students will solve multistep ratio and percentage problems stemming from the design of a water treatment facility.

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