NA2-8: Find rules for the next member in a sequential pattern.
Elaboration on this Achievement Objective
This means students will explore sequential patterns, either spatial, for example, .gif){kind=small}
, ... or numeric, for example, 1, 3, 5, 7 ... A pattern has consistency so further terms of it can be anticipated from those already known. In spatial patterns students should be able to identify the repeating element, for example, 
in the pattern above, and use this to predict the shape in a given ordinal position, for example, the next shape is 
, the eleventh shape will be 
. For simple number patterns students should identify the consistent “gap” between the terms (for example, 1, 3, 5, 7... two is added each time), and use this additive difference to find further terms. Students should also develop their concept of relations between variables using spatial patterns that can be represented using numeric tables of values, for example, for this pattern, how many squares make 7 crosses?
Teaching resources for this Achievement Objective
Level Two
Number and Algebra
Rich learning activities
The purpose of this activity is to engage students in identifying a (simple linear) pattern and using this to solve a problem.
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.
Level Two
Number and Algebra
Problem solving activities
Level Two
Number and Algebra
Units of Work
This unit develops pattern-based thinking through the exploration of a pattern that has more than one attribute and more than one unit of repeat.
Level One
Level Two
Number and Algebra
Units of Work
The purpose of this unit is to develop pattern-based thinking through the exploration of a pattern that is central to our number system: odd and even numbers.
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 number and algebra activity from the Figure It Out theme series.A PDF of the student activity is included.
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra activity from the Figure It Out theme series.A PDF of the student activity is included.
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.
Level Two
Number and Algebra
Figure It Out activities
These are level 2 number and algebra problems from the Figure It Out series.A PDF of the student activity is included.
Level Two
Number and Algebra
Problem solving activities
Level Two
Number and Algebra
Units of Work
In this unit we look at the number patterns we get from letters and numbers. We keep track of the numbers involved by drawing up a table of values. It’s important here to look for the pattern and see how the number of tiles changes from letter to letter.
Level Two
Number and Algebra
Units of Work
The purpose of this unit of two lessons is to develop relational thinking through the exploration and expression of the relationship between two related number patterns.
Level Two
Integrated
Units of Work
This unit provides you with a range of opportunities to assess the entry level of achievement of your students.
Level Two
Number and Algebra
Units of Work
This unit is about generating number patterns for certain ‘insects’ from the mythical planet of Elsinore. Each ‘Pede’ is made up of square parts and has a number of feet. The patterns range from counting by 2s and 3s to being the number of feet plus three.
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.
Level Two
Integrated
Figure It Out activities
These are level 2 number, algebra, and geometry problems from the Figure It Out series.A PDF of the student activity is included.
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra activity from the Figure It Out theme series.A PDF of the student activity is included.
Level Two
Number and Algebra
Units of Work
In this unit students look for and describe the patterns they see in different types of staircases.
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.
Level Two
Number and Algebra
Units of Work
In this unit students explore the number patterns created when tins are stacked in different arrangements and keep track of the numbers involved by drawing up a table of values.