Chocolate measures

Chocolate measures

Pencil and paper
Overview
Connecting to the Curriculum
Marking Student Responses
Working with Students
This task is about working out the perimeter, area and the surfaced area of a box of chocolate.
Yanna was given the box of caramel chocolates shown below. She noticed that the chocolates were identical.

a) What is the perimeter of the bottom of one chocolate? __________
 
b) What is the perimeter of the bottom of one row of 6 chocolates? __________
 
c) What is the perimeter of the bottom of the box (8 cm × 18 cm)? __________
 
d) What is the area of the bottom of the box (8 cm × 18 cm)? __________
 
e) The box is 2 cm high. What is the volume of the box? __________
 
f) What is the surface area of the box? (i.e., the total area of all 6 sides) __________

 

Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Measurement
Keywords: 
area, surface area, perimeter, volume, cuboids
Description of task: 
Students calculate perimeter, area and the surfaced area of a box of chocolate.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Measurement sense, sets 7-8
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
   

Y8 (10/1996)

Y9 (10/1996)
a) 10 cm ((3 + 2) × 2) difficult moderate
b) 40 cm ((2 × 18) + (2 × 2)) difficult moderate
c) 52 cm (8 + 18 × 2) difficult moderate
d) 144 cm2 (8 × 18) moderate easy
e) 288 cm3 ((8 × 18 × 2)) very difficult very difficult
f) 392 cm2
((8 × 18) × 2 + (18 × 2) × 2 + (8 × 2) × 2)

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Diagnostic and formative information: 
  Common error Likely calculation Likely misconception
a) 6 3 × 2 Overlooks ends of chocolate.
c) 36
60		 18 × 2
10 × 6		 Overlooks ends of chocolate.
Gives the perimeter of 6 individual chocolates (rather than a row of 6).
c) 144 8 × 18 Confuses perimeter and area.
f) 144 - -