Measurement Using Architectural Drawings

Students will use real world examples of mathematics to determine the measurements of historic Tennessee buildings.

Standards & Objectives

Academic standards
CCSS.Math.Content.5.MD.A.1
Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these...
CCSS.Math.Content.6.G.A.3
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same...
CCSS.Math.Content.6.NS.C.6
Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to...
CCSS.Math.Content.6.NS.C.8
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and...
CCSS.Math.Content.6.RP.A.1
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings...
CCSS.Math.Content.6.RP.A.2
Understand the concept of a unit rate a/b associated with a ratio a:b with b != 0, and use rate language in the context of a ratio relationship....
CCSS.Math.Content.6.RP.A.3
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams,...
GLE 0506.4.3
Describe length/distance relationships using the first quadrant of the coordinate system.
GLE 0606.2.3
Understand and use ratios, rates and percents.
GLE 0606.3.6
Understand and use the Cartesian coordinate system.
SPI 0506.2.7
Recognize equivalent representations for the same number.
SPI 0506.4.5
Find the length of vertical or horizontal line segments in the first quadrant of the coordinate system, including problems that require the use of fractions and...
SPI 0606.2.6
Solve problems involving ratios, rates and percents.
SPI 0606.2.7
Locate positive rational numbers on the number line.
SPI 0606.2.8
Locate integers on the number line.
SPI 0606.3.9
Graph ordered pairs of integers in all four quadrants of the Cartesian coordinate system.
TSS.Math.5.MD.A.1
Convert customary and metric measurement units within a single system by expressing measurements of a larger unit in terms of a smaller unit. Use these...
TSS.Math.6.G.A.3
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side that joins two vertices (vertical or...
TSS.Math.6.NS.C.6
Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent...
TSS.Math.6.NS.C.8
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value...
TSS.Math.6.RP.A.1
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, the ratio of wings to beaks...
TSS.Math.6.RP.A.2
Understand the concept of a unit rate a/b associated with a ratio a:b with b != 0. Use rate language in the context of a ratio relationship.
TSS.Math.6.RP.A.3
Use ratio and rate reasoning to solve real-world and mathematical problems.
 
Alignment of this item to academic standards is based on recommendations from content creators, resource curators, and visitors to this website. It is the responsibility of each educator to verify that the materials are appropriate for your content area, aligned to current academic standards, and will be beneficial to your specific students.
 
Learning objectives: 

Students will use appropriate materials to measure architectural drawings.
Students will evaluate the measurements of drawings by evaluating proportions and ratios.

Essential and guiding questions: 
  • What can architectural drawings tell you about buildings?
  • How do architects use building measurements?
  • How are measurements and ratios used outside of the classroom?

Lesson Variations

Blooms taxonomy level: 
Understanding
Extension suggestions: 

Find out more about the history and visitor information for this building by visiting the following Web sites:

Students can examine photographs of the inside and outside of Rock Castle from the Web sites listed above can compare them to the historic photographs listed on the surveys for each building. Have the buildings changed at all? You could even take a field trip to one of these locations, so that students can compare the drawings to the pictures and the actual site!
Ask your students what they would have done differently, had they been the architect for Rock Castle. Thicker walls? More chimneys? More floors? How would that affect the measurements of this building? 

Helpful Hints

ADDITIONAL MATERIALS:

  • Set of class rulers
  • Set of class calculators
  • “Measurement with Architectural Drawings:
  • North Elevation” worksheet and drawing
  • “Measurement with Architectural Drawings:
  • East Elevation” worksheet and drawing