The purpose of this activity is to engage students in applying their knowledge of three dimensional solids to solve a package and packing problem.
Thisactivity assumes the students have experience in the following areas:
The problem is sufficiently open ended to allow the students freedom of choice in their approach. It may be scaffolded with guidance that leads to a solution, and/or the students might be given the opportunity to solve the problem independently.
The example responses at the end of the resource give an indication of the kind of response to expect from students who approach the problem in particular ways.
Task: A chocolate manufacture produces bars shaped in a triangular prism of length 12 cm. The cross section of the bars is an equilateral triangle of side length 4 cm.
The following prompts illustrate how this activity can be structured around the phases of the Mathematics Investigation Cycle.
Introduce the problem. Allow students time to read it and discuss in pairs or small groups.
Discuss ideas about how to solve the problem. Emphasise that, in the planning phase, you want students to say how they would solve the problem, not to actually solve it.
Allow students time to work through their strategy and find a solution to the problem.
Allow students time to check their answers and then either have them pair share with other groups or ask for volunteers to share their solution with the class.
The student produces a net that meets the specifications given. The student follows instructions to solve a packing problem involving volumes that need to be calculated.
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The student produces a net that meets the specifications given. The student solves a packing problem involving volumes that need to be calculated.
Printed from https://nzmaths.co.nz/resource/packing-chocolates at 10:11am on the 2nd May 2024