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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, spatialsequence. , ... 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, spatial3. in the pattern above, and use this to predict the shape in a given ordinal position, for example, the next shape is spatialsquare. , the eleventh shape will be spatial circle. . 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:

Pede Patterns

  • Units of Work
  • Number and Algebra
  • Level Two

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.

Staircases

  • Units of Work
  • Number and Algebra
  • Level Two

In this unit students look for and describe the patterns they see in different types of staircases.

Letter Patterns

  • Units of Work
  • Number and Algebra
  • Level Two

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.

Supermarket Displays

  • Units of Work
  • Number and Algebra
  • Level Two

In this unit the students look at the number patterns created when tins are stacked in different arrangements. The aim of the unit is for students to keep track of the numbers involved by drawing up a table of values.  They are then encouraged to look for patterns in the numbers.

Taxi fare

  • Problem solving activities
  • Number and Algebra
  • Level Two
Count in twos using odd numbers
Describe a repeating number pattern

Treasure to ship

  • Problem solving activities
  • Number and Algebra
  • Level Two
Use equipment to work out a problem
Make and describe a repeating pattern to solve a problem
Devise and use problem solving strategies to explore situations mathematically

Cannon balls

  • Problem solving activities
  • Number and Algebra
  • Level Two
Identify a pattern and describe this using their own words
Use equipment appropriately when exploring mathematical ideas; devise and use problem solving strategies to explore situations mathematically (guess and check, make an list).

Jo's table

  • Problem solving activities
  • Number and Algebra
  • Level Two
Continue patterns
Describe number patterns
Devise and use problem solving strategies (guess and check, make a table, look for patterns)

Pick the Pattern

  • Figure It Out activities
  • Number and Algebra
  • Level Two

This is a level 2 algebra strand activity from the Figure It Out series.
A PDF of the student activity is included.

The Mystery of the Vanishing Pattern

  • Figure It Out activities
  • Number and Algebra
  • Level Two

This is a level 2 algebra strand activity from the Figure It Out series.
A PDF of the student activity is included.

Punching Numbers

  • Figure It Out activities
  • Number and Algebra
  • Level Two

This is a level 2 algebra strand activity from the Figure It Out series.
A PDF of the student activity is included.

Follow that Arrow

  • Figure It Out activities
  • Number and Algebra
  • Level Two

This is a level 2 algebra strand activity from the Figure It Out series.
A PDF of the student activity is included.

Sticky Moments

  • Figure It Out activities
  • Number and Algebra
  • Level Two

This is a level 2 algebra strand activity from the Figure It Out series.
A PDF of the student activity is included.

Fair and Square

  • Figure It Out activities
  • Number and Algebra
  • Level Two

This is a level 2 algebra strand activity from the Figure It Out series.
A PDF of the student activity is included.

Table Time

  • Figure It Out activities
  • Number and Algebra
  • Level Two

This is a level 2 algebra strand activity from the Figure It Out series.
A PDF of the student activity is included.

Puzzling Picnics

  • Figure It Out activities
  • Number and Algebra
  • Level Two

This is a level 2 algebra strand activity from the Figure It Out series.
A PDF of the student activity is included.

A Spot of Sickness

  • Figure It Out activities
  • Number and Algebra
  • Level Two

This is a level 2 algebra strand activity from the Figure It Out series.
A PDF of the student activity is included.

Building Graphs

  • Figure It Out activities
  • Number and Algebra
  • Level Two

This is a level 2 algebra strand activity from the Figure It Out series.
A PDF of the student activity is included.

Perfect Patterns

  • Figure It Out activities
  • Number and Algebra
  • Level Two

This is a level 2 algebra strand activity from the Figure It Out series.
A PDF of the student activity is included.

Food for Thought

  • Figure It Out activities
  • Number and Algebra
  • Level Two

These are level 2 number and algebra problems from the Figure It Out series.
A PDF of the student activity is included.

Quacky Questions

  • Figure It Out activities
  • Geometry and Measurement
  • Level Two

These are level 2 number, algebra, and geometry problems from the Figure It Out series.
A PDF of the student activity is included.

Entertaining Patterns

  • Figure It Out activities
  • Number and Algebra
  • Level Two

This is a level 2 number and algebra activity from the Figure It Out theme series.
A PDF of the student activity is included.

Flipping Fish

  • Figure It Out activities
  • Number and Algebra
  • Level Two

This is a level 2 algebra activity from the Figure It Out theme series.
A PDF of the student activity is included.

Scaling Up

  • Figure It Out activities
  • Number and Algebra
  • Level Two

This is a level 2 algebra activity from the Figure It Out theme series.
A PDF of the student activity is included.

The biggest number in the universe

  • Picture book activities
  • Number and Algebra
  • Level Two

This is an activity based on the picture book The Biggest Number in the Universe

Dual patterns

  • Units of Work
  • Number and Algebra
  • Level Two

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.

Mapping relationships

  • Units of Work
  • Number and Algebra
  • Level Two

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.

Early number patterns

  • Units of Work
  • Number and Algebra
  • Level One

The purpose of this unit of is to develop pattern-based thinking through the exploration of a pattern that is central to our number system: odd and even numbers.

A long dinner

  • Rich learning activities
  • Number and Algebra
  • Level Two

The purpose of this activity is to engage students in identifying a (simple linear) pattern and using this to solve a problem.

What's going on?

  • Rich learning activities
  • Number and Algebra
  • Level Two

The purpose of this activity is to engage students in using their number knowledge to understand and use an unfamiliar process.