Extend previous understanding of scale drawings and scale factors to determine how dilations affect the area of two-dimensional figures and the surface area or volume of three-dimensional figures.
Examples
Example: Mike is having a graduation party and wants to make sure he has enough pizza. Which option would provide more pizza for his guests: one 12-inch pizza or three 6-inch pizzas?General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Geometric Reasoning
Date Adopted or Revised: 08/20
Status: State Board Approved
Related Courses
This benchmark is part of these courses.
1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1206310: Geometry (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1206320: Geometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7912070: Access Mathematics for Liberal Arts (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
1206315: Geometry for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7912065: Access Geometry (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
1207350: Mathematics for College Liberal Arts (Specifically in versions: 2022 and beyond (current))
Related Access Points
Alternate version of this benchmark for students with significant cognitive disabilities.
MA.912.GR.4.AP.3: Select the effect of a dilation on the area of two-dimensional figures and/or surface area or volume of three-dimensional figures.
Related Resources
Vetted resources educators can use to teach the concepts and skills in this benchmark.
Lesson Plan
Perspectives Video: Professional/Enthusiasts
Student Resources
Vetted resources students can use to learn the concepts and skills in this benchmark.
Perspectives Video: Professional/Enthusiasts
Making Candy: Uniform Scaling:
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Type: Perspectives Video: Professional/Enthusiast
Estimating Oil Seep Production by Bubble Volume:
You'll need to bring your computer skills and math knowledge to estimate oil volume and rate as it seeps from the ocean floor. Dive in!
Type: Perspectives Video: Professional/Enthusiast
Parent Resources
Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.
Perspectives Video: Professional/Enthusiasts
Making Candy: Uniform Scaling:
Don't be a shrinking violet. Learn how uniform scaling is important for candy production.
Type: Perspectives Video: Professional/Enthusiast
Estimating Oil Seep Production by Bubble Volume:
You'll need to bring your computer skills and math knowledge to estimate oil volume and rate as it seeps from the ocean floor. Dive in!
Type: Perspectives Video: Professional/Enthusiast