Australian Professional Standards for Teachers

Palindromic numbers

About this Illustration of Practice

In a grade 6 mathematics class a teacher plans for, delivers and reflects on a lesson focusing on Number and Algebra. In planning the lesson, she articulates a preference for using open-ended problem-solving activities and resources that can cater for a range of abilities. In designing activities, and in selecting resources, she anticipates how particular students will engage with these as learners. During the activity, students work at their own pace, transforming simple numbers into palindromic numbers. The lesson is structured to allow for whole class instruction, peer discussion and individual learning.

Standard 1
Know students and how they learn
Focus area 1.5
Differentiate teaching to meet the specific learning needs of students across the full range of abilities
Career stage
Develop teaching activities that incorporate differentiated strategies to meet the specific learning needs of students across the full range of abilities.
Other descriptors
Standard 2
Know the content and how to teach it
Focus area 2.1
Content and teaching strategies of the teaching area
Career stage
Apply knowledge of the content and teaching strategies of the teaching area to develop engaging teaching activities.
Standard 3
Plan for and implement effective teaching and learning
Focus area 3.3
Use teaching strategies
Career stage
Select and use relevant teaching strategies to develop knowledge, skills, problem solving and critical and creative thinking.
  1. How do you currently cater for a diverse range of abilities in your class?
  2. What kinds of questioning techniques can teachers use to support effective teaching and learning?
Learning area
Year level
Year 6
Australian Curriculum content descriptions
Pleasant Street Primary School
Year level
Year 6
Related subject
Stage of schooling
School type
School location
View full map

Located close to Lake Wendouree in Ballarat, Pleasant Street Primary School is a P–6 school, catering for approximately 350 students. The grade 6 teacher at the school has a class comprised of students with a diverse range of mathematical abilities. In planning a lesson for the class, she articulates a preference for the use of open-ended questioning and problem-solving activities to meet these needs, rather than developing separate resources for individuals and groups. The particular lesson within the illustration will be followed by a lesson where students use notebook computers to individually explore number patterns.

Content provider
Education Services Australia

© Australian Institute for Teaching and School Leadership (AITSL), 2012 (except where indicated under acknowledgements). You may use, reproduce and adapt this material for educational purposes until 30 June 2019, provided you retain this notice and all acknowledgements associated with the material.