Sites2See - Patterns and algebra

Primarily patterns

Patterns are everywhere around us. Recognising, copying, continuing, describing and Patterns are everywhere around us. Recognising, copying, continuing, describing and creating patterns help develop an understanding of number relationships.

Patterns are everywhere around us. Recognising, copying, continuing, describing and creating patterns help develop an understanding of number relationships.

Predict or set counting patterns

Use a hundreds chart (PDF 224kB) to help idenitfy and create number patterns.

ABCYa has an interactive hundred square1, and this2 is a more advanced one that can go to 1000. Shodor has a single operation function machine3.

Math Games4 have a large number of self-marking practice and review questions broken up by year.

PhET has a series of interactives5 that introduce multi-operation functions.

Early Stage 1 and Stage 1

Match and continue coloured bead patterns6.

Complete a pattern of shapes7 or shape characters8. Learn about repeating patterns in the world9.

Cross a bridge by continuing number sequences.10

Practice skip counting in Number Bubble11 or choose what comes next in Pattern mania12.

Stage 2 and Stage 3

Mathforlove.com13 has a variety of interesting activities that emphasise creativity and exploration. Easy to access, lots of space in the problems to explore.

Use the following Geogebra interactives to produce square14 and triangular numbers15. Balance number sentences16 and investigate different number patterns17.

PhET has a series of interactive18 equation balancing activities that build from numbers and shapes to variables and operations.

For teachers

Access resources for mathematics teaching19, as well as Best Start Kindergarten Assessment20 resources.

NRICH21 has lots of resources, including games and interactive worksheets, and they have teacher-focused material22 as well (refers to UK curriculum). Here are some puzzles23 that should spark discussion about patterns and strategies.

Shodor has lesson plans based on exploring Pascal's Triangle24 and linking to fractals25, including interactive applets.

GeoGebra can be used to explore patterns26 and help visualise graphing algebra.

Register at learningclip for free to get access to interactives27 and videos on number patterns and sequences.

The Fibonacci sequence28 is a great link between the patterns that we see in algebra and patterns in the world outside the classroom. Geogebra has lots of visualisations of constructing spirals, but you can also use it to explore the relationship between numbers29 in the sequence.

Assess Stage 2 students’ understanding of counting rules30.

See also Sites2See: Number31, Measurement32 and Space and Geometry33 for Primary.

Links

  1. http://www.abcya.com/interactive_100_number_chart.htm
  2. http://www.teacherled.com/iresources/hundredsquareadvanced/
  3. http://www.shodor.org/interactivate/activities/FunctionMachine/
  4. https://www.mathgames.com/numberpatterns
  5. https://phet.colorado.edu/sims/html/function-builder/latest/function-builder_en.html
  6. https://www.mathsisfun.com/algebra/pattern-match-colors.html
  7. http://illuminations.nctm.org/ActivityDetail.aspx?ID=27
  8. http://pagesperso-orange.fr/jeux.lulu/html/anglais/algorith/algoriA1.htm
  9. http://education.abc.net.au/home#!/media/29547/patterns-around-us
  10. http://www.abcya.com/number_patterns.htm
  11. http://www.abcya.com/number_bubble_skip_counting.htm
  12. http://www.primarygames.com/patterns/start.htm
  13. https://mathforlove.com/lesson-plan/
  14. https://www.geogebra.org/m/PkWrdzWu
  15. https://www.geogebra.org/m/DTBE9Gys
  16. https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Pan-Balance----Numbers/
  17. http://www.counton.org/explorer/patterns/
  18. https://phet.colorado.edu/sims/html/equality-explorer/latest/equality-explorer_en.html
  19. https://education.nsw.gov.au/teaching-and-learning/curriculum/key-learning-areas/mathematics/Early-Stage-1-to-Stage-3
  20. https://education.nsw.gov.au/teaching-and-learning/curriculum/literacy-and-numeracy/best-start
  21. https://nrich.maths.org/primary
  22. https://nrich.maths.org/teacher-primary
  23. https://nrich.maths.org/9810
  24. http://www.shodor.org/interactivate/lessons/PatternsInPascal/
  25. http://www.shodor.org/interactivate/lessons/PascalTriangle/
  26. https://www.geogebra.org/m/Yav55eSr
  27. http://www.learningclip.co.uk/
  28. http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibnat.html
  29. https://www.geogebra.org/m/wcSVrun2
  30. https://mathsframe.co.uk/en/resources/resource/42/sequences
  31. https://app.education.nsw.gov.au/rap/resource/access/31a8127a-1b93-4538-b463-2a71bb1a0e41/1
  32. https://app.education.nsw.gov.au/rap/resource/access/bafe1016-ea01-414e-aac1-a70dc8319b72/1
  33. https://app.education.nsw.gov.au/rap/resource/access/2c81770e-a818-493b-9622-13ea1f6d7185/1