I
NZQA Approved
nternal assessment resource Mathematics and Statistics 1.9B v3 for
Achievement Standard 91034
PAGE FOR TEACHER USE

Internal Assessment Resource
Mathematics and Statistics Level 1
This resource supports assessment against:
Achievement Standard 91034 version 3
Apply transformation geometry in solving problems
Resource title: Creating Cartoon Characters
2 credits
This resource:
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Clarifies the requirements of the standard
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Supports good assessment practice
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Should be subjected to the school’s usual assessment quality
assurance process
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Should be modified to make the context relevant to students in
their school environment and ensure that submitted evidence is
authentic
Date version published by Ministry of Education
February 2015 Version 3
To support internal assessment from 2015
Quality assurance status
These materials have been quality assured by NZQA.
NZQA Approved number AA02201591034024525
Authenticity of evidence
Teachers must manage authenticity for any assessment from a public
source, because students may have access to the assessment schedule or
student exemplar material.
Using this assessment resource without modification may mean that
students’ work is not authentic. The teacher may need to change
figures, measurements or data sources or set a different context or
topic to be investigated or a different text to read or perform.
Internal Assessment Resource
Achievement Standard Mathematics and Statistics 91034: Apply
transformation geometry in solving problems
Resource reference: Mathematics and Statistics 1.9B v3
Resource title: Creating Cartoon Characters
Credits: 2
Teacher guidelines
The following guidelines are supplied to enable teachers to carry out
valid and consistent assessment using this internal assessment
resource.
Teachers need to be very familiar with the outcome being assessed by
Achievement Standard Mathematics and Statistics 91034. The achievement
criteria and the explanatory notes contain information, definitions,
and requirements that are crucial when interpreting the standard and
assessing students against it.
Context/setting
This activity requires students to apply transformation geometry to
create a cartoon character (or other object) and describe the
transformations used, any transformational symmetry, and any
invariance in the finished cartoon character or object.
Conditions
The cartoon character needs to be a character only and not a composite
picture. Stick figures are not appropriate in this assessment task.
The time frame needs to be confirmed with students. Students will work
independently on the activity.
Students may use any appropriate technology.
Resource requirements
Students may use standard geometrical drawing equipment or appropriate
technology.
Additional information
The activity can be adapted to other contexts that present similar
opportunities to meet the standard.
Internal Assessment Resource
Achievement Standard Mathematics and Statistics 91034: Apply
transformation geometry in solving problems
Resource reference: Mathematics and Statistics 1.9B v3
Resource title: Creating Cartoon Characters
Credits: 2
Achievement
Achievement with Merit
Achievement with Excellence
Apply transformation geometry in solving problems.
Apply transformation geometry, using relational thinking, in solving
problems.
Apply transformation geometry, using extended abstract thinking, in
solving problems.
Student instructions
Introduction
This activity requires you to design and describe a cartoon character
using transformation geometry.
Your cartoon character will be used in an animated television show, on
a poster, in a magazine or newspaper, on a soft drink bottle, on a
website, or on the inside of a piece of clothing.
This activity is to be completed independently.
You will be assessed on your use of correct mathematical statements,
your explanation of the transformations, and how carefully and clearly
you communicate your thinking.
Task
Create a cartoon character using transformation geometry. Your cartoon
character must involve at least three different transformations.
Draw your cartoon character.
Write instructions to create your cartoon character. Your instructions
need to include descriptions of the transformations that have been
used and enable your design to be reproduced accurately.
Modify your instructions to reproduce your cartoon character for a
different medium, for example, for sewing on the inside of a garment
or for printing on a curved surface, such as a cup.
Describe any symmetries and invariance in your completed design.
Assessment schedule: Mathematics and Statistics 91034 Creating Cartoon
Characters
Evidence/Judgements for Achievement
Evidence/Judgements for Achievement with Merit
Evidence/Judgements for Achievement with Excellence
Applying transformation geometry in solving problems will involve:
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selecting and using a range of methods in solving problems
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demonstrating knowledge of geometrical concepts and terms
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communicating solutions using geometrical terms or
representations.
The cartoon character will include at least three different methods,
which are correctly identified.
For example:
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reflection
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rotation
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translation
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enlargement
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symmetry.
Applying transformation geometry, using relational thinking, in
solving problems will involve one or more of:
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selecting and carrying out a logical sequence of steps
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connecting different concepts and representations
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demonstrating understanding of concepts
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forming and using a model
and also, relating findings to a context, or communicating thinking
using appropriate mathematical statements.
The student has described the transformations used to create their
cartoon character with the appropriate detail for the transformations
to be positioned correctly, and has described any symmetries in the
completed design.
The student has also started to investigate placing their cartoon on a
different medium.
Applying transformation geometry, using extended abstract thinking, in
solving problems will involve one or more of:
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devising a strategy to investigate a situation
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identifying relevant concepts in context
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developing a chain of logical reasoning or proof
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forming a generalisation
and also, using correct mathematical statements, or communicating
mathematical insight.
The student has written accurate instructions using correct
mathematical statements for creating a cartoon character, described
any symmetry in the completed design, and written instructions that
enable the cartoon character to be replicated and printed to fit onto
a different medium. For example, sewing a cartoon character on the
inside of a garment means that the vertical directions stay the same
and all of the horizontal directions need to be reversed. Rotations
will also be in the opposite direction.
The identification and correct discussion of invariance could be part
of the evidence for Excellence.
Final grades will be decided using professional judgement based on a
holistic examination of the evidence provided against the criteria in
the Achievement Standard.
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