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reSolve: Area and Perimeter

This series of three lessons explores the relationship between area and perimeter using the context of bumper cars at an amusement park. Students design a rectangular floor plan with the largest possible area with a given perimeter. They then explore the perimeter of a bumper car ride that has a set floor area and investigate the possible rectangles that result. They graph their results and explore the concept that the smaller the difference in side lengths, the smaller the perimeter. Students then design three different floor plans for bumper car rides with different criteria. The lesson is outlined in detail including curriculum links, vocabulary, materials needed, presentation slides, discussion points and student resources. This sequence is part of the reSolve: Mathematics by Inquiry program.

Additional details

Year level(s) Year 5
Audience Teacher
Purpose Teaching resource
Format Downloadable resources
Teaching strategies and pedagogical approaches Mathematics investigation
Keywords factors, perimeter, rectangles, length, area

Curriculum alignment

Curriculum connections Numeracy
Strand and focus Number, Measurement, Build understanding, Apply understanding
Topics Area, volume and surface area, Multiples, factors and powers
AC: Mathematics content descriptions
ACMMG109 Calculate perimeter and area of rectangles using familiar metric units
ACMNA098 Identify and describe factors and multiples of whole numbers and use them to solve problems
ACMNA291 Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
National numeracy learning progression Multiplicative strategies - MuS5, MuS6
Understanding units of measurement - UuM7

Copyright details

Organisation

reSolve Maths by Inquiry

Copyright

© Australian Government Department of Education, Skills and Employment 2021. Creative Commons BY-NC-SA 4.0.