A Rectangle with Maximum Area
Students explore areas of rectangles whose perimeter is fixed. They make a conjecture about what type of rectangle has the most area for a given perimeter and check their conjecture by plotting the side length and area of the rectangle on the coordinate plane.
By plotting the side length and area of a rectangle with a given (dynamic) perimeter on the coordinate plane, students can discover what type of rectangle has the most area for any given perimeter.
Grade Level: 9-10
PSSM Content Standard: Algebra
CCSSM Content Standard: High School: Algebra; Arithmetic with Polynomials & Rational Expressions
Math Content: perimeter, area, rectangles, triangles, graphing parabolas
By plotting the side length and area of a rectangle with a given (dynamic) perimeter on the coordinate plane, students can discover what type of rectangle has the most area for any given perimeter.
Grade Level: 9-10
PSSM Content Standard: Algebra
CCSSM Content Standard: High School: Algebra; Arithmetic with Polynomials & Rational Expressions
Math Content: perimeter, area, rectangles, triangles, graphing parabolas
Online Resource Evaluation - A Rectangle with Maximum Area | |
File Size: | 150 kb |
File Type: |