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Principles and Standards for School Mathematics

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Return to Mathematics Expectations
National Mathematics Expectation:
explore what happens to measurements of a two-dimensional shape such as its perimeter and area when the shape is changed in some way.
1
Shopping Mall Math: Parking at the Mall
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ORC# 4011
Resource Information
Resource URL: http://illuminations.nctm.org/LessonDetail.aspx?ID=L265
Resource Type: Instructional Resource -- Promising Practice
Discipline: Mathematics
Ohio Standards Alignment: Grades 3–6
Professional Commentary: Using the recommendation that regular parking spaces at a mall should be 9'x12' and handicapped spaces (3% of the total) should be 15'x20,' students create parking spaces in the classroom and on the playground to develop a sense of area in square feet. They analyze how much the area changes as dimensions are increased....
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2
NAEP Assessment Item, Grade 4: Relate Perimeter to Side Length
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ORC# 1667
Resource Information
Resource URL: http://nces.ed.gov/nationsreportcard/itmrls/portal.asp?questionl...
Resource Type: Assessment Resource
Discipline: Mathematics
Ohio Standards Alignment: Grades 3–5
Professional Commentary: Given a triangle and a square with the same perimeter, students must determine the length of each side of the square when the lengths of the sides of the triangle are known. This multiple-choice question is a sample test item used in grade 4 in the 1996 National Assessment of Educational Progress (see About NAEP)....
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3
NAEP Assessment Item, Grade 8: Find Perimeter of a Polygon
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ORC# 1901
Resource Information
Resource URL: http://nces.ed.gov/nationsreportcard/itmrls/portal.asp?questionl...
Resource Type: Assessment Resource
Discipline: Mathematics
Ohio Standards Alignment: Grades 5–7
Professional Commentary: Given the lengths of three sides, students must determine which of five figures could have a total perimeter of 28. This multiple-choice question is a sample test item used in grade 8 in the 1992 National Assessment of Educational Progress (see About NAEP)....
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4
Spaghetti and Meatballs for All!: A Mathematical Story
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ORC# 11115
Resource Information
Resource URL: http://www.ohiorc.org/for/math/bookshelf/detail.aspx?id=28
Resource Type: Professional Resource
Discipline: Mathematics
Ohio Standards Alignment: Grades 3–6
Professional Commentary: An entry on the Ohio Resource Center Mathematics Bookshelf, this book provides students with a real-life context for investigating variation in perimeter while area remains constant. In the story, small tables are pushed together to make one large table, until too many people show up, and the large table has to be subdivided into smaller arrangements to provide more seating....
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5
NAEP Assessment Item, Grade 8: Compare Areas of Two Shapes
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ORC# 1795
Resource Information
Resource URL: http://nces.ed.gov/nationsreportcard/itmrls/portal.asp?questionl...
Resource Type: Assessment Resource
Discipline: Mathematics
Ohio Standards Alignment: Grades 3–8
Professional Commentary: Students are asked to determine the relative areas of a square and a right triangle whose heights are the same but in which the base of the triangle is twice as long as the side of the square; students must explain their reasoning in words or pictures. This constructed-response question is a sample test item used in grades 4, 8, and 12 in the 1996 National Assessment of Educational Progress (see About NAEP)....
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