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Area, Surface Area, & Volume of Composite Figures REAL-WORLD SITUATIONS

Grass seed for a new yard, paint for a wheelchair ramp, and frosting for a tiered wedding cake all become area, surface area, or volume problems built around composite figures.
Grades
Grade 7, Middle School
File type
PDF
Preparation
Print ready

Updated Mar 29, 2022

Subject
Math, Geometry
Topic
area, surface area
Resource types
Worksheets & Printables, Worksheets, Word Problems
Preparation
Print ready
Standards
7.G.B.6

About this resource

What's inside this resource

Area, Surface Area, & Volume of Composite Figures- REAL-WORLD SITUATIONS

Designed with educators in mind, the product 'Area, Surface Area & Volume of Composite Figures- REAL-WORLD SITUATIONS' delivers a powerful teaching resource for seventh-grade geometry. It shifts away from abstract mathematical problems to focus on real-life applications which makes learning more engaging and relatable.

The product dovetails neatly into the 7th Grade Geometry Standard CCSS.MATH.CONTENT.7.G.B.6 which emphasizes problem-solving that pertains to area, volume and surface area of varied 2D and 3D objects such as triangles, quadrilaterals, polygons, cubes and right prisms.

Main Features:

  • Total of twelve well-crafted questions: Each question indicates what sort of computation is required for each practical situation presented.
  • Versatile usage: Suitable as handouts or easily applied as an assignment using Google Forms.
  • Innovative grading feature: Automatic grading with Google Forms integration simplifies the evaluation process (Note: This includes multiple choice format for questions one to six while seven through twelve are short answer types).
  • Detailed Answer Key included:: Description comes complete with accurate ideally detailed Answer Key so teachers are never stuck searching for correct solutions!

Please note that this resource doesn't include practice tasks dealing with composite figures incorporating circles rather sticking strictly standard requirements provided.

Leverage This Resource In Various Ways:

This reliable tool offers versatility breadth meet your pedagogical needs. Whether you’re catering a lively whole-class discussion or supervising independent small-group explorations, it can even be extended as a home task reinforcing concepts further. This is math made practical, an educational ally for any seventh-grade geometry classroom or homeschooling setup.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Determine whether a real-world scenario requires an area, surface area, or volume calculation.

  • Calculate the area of a composite figure made of triangles, quadrilaterals, or polygons in a real-world context.

  • Calculate the surface area of a three-dimensional composite figure, excluding specified surfaces such as a hidden back or bottom.

Teaching tips

  • Start with the 6 identification items as a warm-up so students distinguish area, surface area, and volume before tackling the longer word problems.

  • Assign the Google Forms version for automatic grading on the multiple-choice items 1-6, and grade items 7-12 by hand or with the included answer key.

  • Point out that this practice intentionally excludes circular composite figures, so pair it with a separate resource if your students also need cylinder- or cone-based practice.

Skills covered

  • Distinguishing area, surface area, and volume — students classify six everyday tasks by which calculation actually applies.

  • Area of composite figures — students find the area of an irregular yard shape to solve a grass-seed problem.

  • Surface area of composite figures — students calculate paint or frosting needed for a 3D object, excluding specified hidden surfaces.

Good to know

Questions teachers ask about this resource

Which shapes does this practice focus on?

The set is built strictly from the shapes CCSS.7.G.B.6 names — triangles, quadrilaterals, polygons, cubes, and right prisms — leaving circular composite figures for a separate resource.

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Curriculum

Standards, concepts & topics

Standards

  • 7.G.B.6 — Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Core concepts

  • Area

  • Surface area

  • Volume

  • Composite figures

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