Perfect Patterns

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We are learning about the language of patterns. We had to make patterns that met a criteria

Room 3 has been investigating patterns in their maths learning. They have been learning about sequential patterns, including number patterns, spatial patterns, repeating patterns, and growing patterns.

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Baylees pattern has two colour attributes and three shape attributes. The same colour shape repeats its self every 6th unit

Pattern Vocabulary

Understanding vocabulary in an important part of understanding maths. Room 3 looked at pattern vocabulary. These words and explanations were added to the classroom word wall. Understanding these words helps understand patterns.

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Travis is pointing to the language of patterns that we have on our class word wall

  • Compare and contrast: find what is the same and what is different.

  • Sort: to place, separate or organise things that are alike in some way.

  • Attribute: a quality or a characteristic belonging to a thing.

  • Pattern: When attributes (e.g. colours, shapes, numbers) are arranged or repeated in some order or rule.

  • Rule: the action that is repeated in the pattern.

  • Data table: a display of data (information) in rows and columns.

  • Ordinal language: first, second, third …

  • Unit of repeat: the part (or section) that is repeated is the pattern unit.

Problem-Solving

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The cross pattern was an activity from NZ Maths. A data table was used to find the rule of plus4 for this pattern

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Tessa has made a cross repeating pattern from the NZ Maths unit Supermarket Displays. In this pattern the cross shape increases in size by four each time

Understanding patterns involves problem-solving 

Students have worked cooperatively to continue and create patterns with different criteria.  They have also been able to identify pattern rules.  Some students have used materials to predict the pattern’s repeat. Others have learnt to construct and record information on data tables.  Data tables help  identify pattern rules and use them to make predictions.  Trial and error is another tool that has been used in our pattern problem-solving.

Student Voice

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Lachlan T is working on an L pattern from the NZ Math unit Letter Patterns

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Trend is sharing some examples of the number patterns we explored

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The blue circle is repeated on every 3rd unit

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Juno has built a pyramid pattern. A new bottom layer on the pyramid is added each time the pattern grows. Students used a table to find the rule for this pattern

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Arleys pattern has one attribute colour

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This pyramid pattern was quite challenging because the amount that the pattern increased by was not the same

I have been learning to compare different numbers. When you compare numbers you have to figure out much bigger and smaller the numbers are.  Erin

We learnt to draw data tables to record the changes in our pattern, so we can find the rule and then work out what will happen in places along the pattern. Lachlan P 

We learnt how to make patterns with different attributes and to explain what the different attributes are. Attributes can be colours, shapes, sizes, and position. Tom  

I enjoyed working out the rules for different number patterns. Sometimes we worked with some pretty big numbers. Arley

We did some number patterns that had fractions in them. These were tricky but when we thought about what the fractions would look like (we made them into sandwiches) it got easier. Pippa

Curriculum Areas

Mathematics: Number Knowledge - Patterns and relationship: Find rules for the next member in a sequential pattern.

Key Words: patterns, problem solving, number patterns, compare and contrast

Attributed to: nzmaths.co.nz

https://nzmaths.co.nz/resource/supermarket-displays

https://nzmaths.co.nz/resource/dual-patterns

https://nzmaths.co.nz/resource/letter-patterns

04 The cross pattern was an activity from NZ Maths. A data table was used to find the rule of plus4 for this pattern