Cutting cross-sections

Cutting cross-sections

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about cross sections of 3-D objects.
Your teacher will give you instructions.
Draw what you think the print would look like in the table below.
 
Recording table
 

Food

Widthways cut

Lengthways cut

kāreti

carrot

   
taewa
              potato
   
āporo
                 apple
   
herewī
           celery stick
   
Task administration: 

Equipment: Paint; paper for printing on; photocopy of recording chart; two carrots, potatoes, apples, celery stalks.

  • Say to the students,"Today we are going to make prints using fruit and vegetables. We will cut each object in half and dip it in paint. Before we do that I want you to guess what shape each print will be."   
  • Show the students the direction of a widthways cut e.g., but do not actually cut the carrot.
  • Say to the students, "What would the print look like if the cut part of the carrot was dipped in paint and pressed on a piece of paper?
    Draw a picture on your chart showing what the print would look like."
  • Show the students the direction of a lengthways cut, e.g.,  but do not actually cut the carrot.
  • Say to the students, "What would the print look like if the cut part of the carrot was dipped in paint and pressed on a piece of paper?
    Draw a picture on your chart showing what the print would look like."
  • Repeat this with the potato, apple, and celery stalk. It is important that the orientation of the food is the same as that in the picture. The first cut is always a cut across the width of the object and the second cut is always along its length.
  • When the students have completed their predictions, cut the fruit and vegetables. Allow the students to test their predictions by making prints.
Level:
3
Description of task: 
In this practical task students predict what the widthwise and lengthwise cross-sections of a selection of fruit and vegetables would look like.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
a) Widthways

carrot          

potato         

apple           

celery          

b) Lengthways

carrot          

potato          

apple             or

celery           


NOTE: The size and proportions of each drawing is not important. It is the ability to visualise cross-sections which is being assessed.