Packing chocolate

Packing chocolate

Pencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about working out volume.
chocolate box packing  
 
Chocolate bars are packed in a box as shown.

Question 2Change answer

a)  How many bars are in a full box?

Question 2Change answer

b)  The measurements of the box are shown on the diagram.  
     i)  What is the volume of the box?      cm3
     ii) What is the volume of one bar of chocolate?      cm3
Task administration: 
This task can be completed with pencil and paper or online (with SOME auto marking).
Level:
4
Curriculum info: 
Maths, Geometry and Measurement, Measurement
Keywords: 
volume, cuboids, triangular prisms
Description of task: 
Students work out how many triangular prism shapes there are in larger cuboid, and answer questions about volume of both shapes.
Curriculum Links: 
This resource can help to identify students' understanding of volume and multiplicative strategies.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Measurement sense, sets 6-7
Multiplicative thinking, sets 6-7
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
   

Y8 (10/1997)
a)   16 very easy
b) i)
ii)		 160
10 [Accept if = b) i) ÷ a).]		 difficult
difficult
Diagnostic and formative information: 
  Student response Likely calculation Likely reason
b) 40
18		 4 × 10
10 + 4 + 4		 Confusing area and volume.
Adds dimensions rather than multiplying.
c) 2 2 × 1 Gives area of shaded base (but doesn't multiply by half, i.e., 2 × 1 × 1/2).
c) 20 2 × 10 Calculates area of triangular base as 2 (2 × 1) rather than 1 (2 × 1 × 1/2).
c) 40   Visualises one bar as quarter of whole box.