Measurement table

Measurement table

Pencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about number patterns and rules.
illustration: tape measure
The table below is taken from a sewing pattern. It gives the chest measurements of children who fit different sizes of clothes. Part of the table is missing.

Question 2Change answer

a)  Fill in the missing chest measurements for children fitting sizes 5 to 8.
Pattern size
1
2
3
4
5
6
7
8
Chest measurement (cm)
55
57.5
60
62.5

Question 2Change answer

b)  How much larger is the chest measurement of a size 5 than a size 3?  cm
 
c)  When he turned five, Tyler had a chest measurement of 67 cm.
     What size pattern would give him the best fit for a new shirt? Size
 
d)  Complete the rule below to show the number of centimetres in the chest measurement for
     different pattern sizes.
     (Pattern size × 2.5) +  cm = Centimetres in chest measurement.
Task administration: 
This task is completed with pencil and paper or online with some auto-marking.
Copyright: 
Image: George Hodan | Public Domain Pictures | Public Domain
Level:
4
Curriculum info: 
Maths, Number and Algebra, Patterns and relationships
Keywords: 
number patterns, functional rules, linear equations
Description of task: 
Students complete a table showing pattern sizes and children's chest measurements. They answer two questions interpreting the pattern, and state the rule as a word equation.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Patterns and relationships, sets 5-6
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y8 (06/1996)

Y9 (06/1996)
a)

Pattern size

5

6

7

8

Chest measurement (cm)

65

67.5

70

72.5
easy easy
b) 5 cm (65 - 60) 
or answer for size 5 in a) - 60		 easy easy
c) 6 or 67.5 cm easy easy
d) 52.5
Another possible formula is 5/2 (p + 21),
i.e., "Add 21 to the pattern size, and then multiply by 2.5"		 difficult difficult