Opening the Top Drawer to Patterns Module 2

Mathematical patterns are regular

Duration: 50 minutes

Year levels: 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, Foundation, Foundation, Foundation, Foundation, Foundation, Foundation

Category: Algebra, Algebra, Algebra, Algebra, Algebra, Algebra, Counting, Counting, Counting, Counting, Counting, Counting, Directed Numbers, Directed Numbers, Directed Numbers, Directed Numbers, Directed Numbers, Directed Numbers, Geometry, Geometry, Geometry, Geometry, Geometry, Geometry, Number, Number, Number, Number, Number, Number, Number Operations, Number Operations, Number Operations, Number Operations, Number Operations, Number Operations, Number Patterns, Number Patterns, Number Patterns, Number Patterns, Number Patterns, Number Patterns, Real Numbers, Real Numbers, Real Numbers, Real Numbers, Real Numbers, Real Numbers, Shapes, Shapes, Shapes, Shapes, Shapes, Shapes, Solids, Solids, Solids, Solids, Solids, Solids, Transformation, Transformation, Transformation, Transformation, Transformation, Transformation

Proficiency standards: Problem Solving, Problem Solving, Problem Solving, Problem Solving, Problem Solving, Problem Solving, Reasoning, Reasoning, Reasoning, Reasoning, Reasoning, Reasoning, Understanding, Understanding, Understanding, Understanding, Understanding, Understanding

AITSL standards: 1.2 Understand how students learn, 1.2 Understand how students learn, 1.2 Understand how students learn, 1.2 Understand how students learn, 1.2 Understand how students learn, 1.2 Understand how students learn, 2.1 Content and teaching strategies of the teaching area, 2.1 Content and teaching strategies of the teaching area, 2.1 Content and teaching strategies of the teaching area, 2.1 Content and teaching strategies of the teaching area, 2.1 Content and teaching strategies of the teaching area, 2.1 Content and teaching strategies of the teaching area, 2.5 Literacy and numeracy strategies, 2.5 Literacy and numeracy strategies, 2.5 Literacy and numeracy strategies, 2.5 Literacy and numeracy strategies, 2.5 Literacy and numeracy strategies, 2.5 Literacy and numeracy strategies, 6.2 Engage in professional learning and improve practice, 6.2 Engage in professional learning and improve practice, 6.2 Engage in professional learning and improve practice, 6.2 Engage in professional learning and improve practice, 6.2 Engage in professional learning and improve practice, 6.2 Engage in professional learning and improve practice

Use: Groups of Teachers, Groups of Teachers, Groups of Teachers, Groups of Teachers, Groups of Teachers, Groups of Teachers

Teaching practices: Engagement, Engagement, Engagement, Engagement, Engagement, Engagement, Group Work, Group Work, Group Work, Group Work, Group Work, Group Work, Student Learning, Student Learning, Student Learning, Student Learning, Student Learning, Student Learning, Technology, Technology, Technology, Technology, Technology, Technology

In mathematics, we are interested in regular patterns. There must be some rule telling us ‘how it goes’ — otherwise, it is not mathematics.

This module addresses one of the big ideas of patterns, that is mathematical patterns are regular. Participants examine photos to find and explain the regularity in various patterns, such as footprints in the sand. Activities for the classroom include finding the patterns in a hundred square and using digital pattern blocks. There is the opportunity to use online resources from Skwirk. Teachers will be able to refresh their understandings of patterns and to explore them further.

This module is one of five modules about Patterns; the others are: patterns are everywhere, patterns repeat, patterns can grow, and patterns can be found in shapes.

Thinking about mathematical patterns are regular is based on some of the material found in AAMT’s Top Drawer Teachers.

Videos

Video: Mathematical patterns are regular: Non-similar and similar triangles

Video explaining the difference between similar and non-similar triangles.