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Algebra

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Planning notes

Level/Framework stage/Group: Level 3-4

Duration/Date: 4 Weeks

Focus Achievement Objectives
NA1-6: Create and continue sequential patterns.
NA4-9: Use graphs, tables, and rules to describe linear relationships found in number and spatial patterns.
NA3-8: Connect members of sequential patterns with their ordinal position and use tables, graphs, and diagrams to find relationships between successive elements of number and spatial patterns.
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Matchstick Patterns

Level Three
Number and Algebra
Units of Work
The unit investigates patterns made using matches and tiles. The relation between the number of the term of a pattern and the number of matches that that term has, is explored with a view to finding a general rule that can be expressed in several ways.
  • Predict the next term of a spatial pattern.
  • Find a rule to give the number of matches in a given term of the pattern.
  • Find the member of the pattern that has a given number of matches.

These Learning Outcomes are covered in every lesson of the unit.

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Cube Signs

Level Three
Number and Algebra
Figure It Out activities
This is a level 3 algebra strand link activity from the Figure It Out series. A PDF of the student activity is included.

use a table to find a rule for a geometric pattern

write rule to describe a relationship

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Kai Moana

Level Three
Number and Algebra
Figure It Out activities
This is a level 3 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.

use a graph to look for a pattern

Use Google Sheets to graph
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Vege rows

Level Three
Number and Algebra
Rich learning activities
The purpose of this activity is to engage students in using mathematical strategies to solve a sequence problem.
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Triangular numbers

Level Three
Number and Algebra
Problem solving activities
This problem solving activity has an algebra focus.
  • Continue a pattern.
  • Use a table where appropriate.
  • Find a relation between successive members of a pattern.
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Terrific Tiles

Level Three
Number and Algebra
Figure It Out activities
This is a level 3 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.

find and apply rules for sequential patterns

 

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Building patterns

Level Three
Number and Algebra
In this unit students work with growing patterns made from square tiles. Students represent the relationships between pattern number and number of tiles using tables, graphs and rules, in order to predict further terms of the pattern.
  • Continue a linear growth pattern from a few examples.
  • Find the recursive rule of a linear growth pattern from a table of values.
  • Explain why the graph of relationships in the pattern is linear.
  • Use the table and recursive rule, and/or the graph to make predictions about other terms of the pattern.
  • Attem...
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Biscuit Binge

Level Three
Number and Algebra
Figure It Out activities
This is a level 3 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.

use a graph to show relationships in sequential patterns

Use Google Sheets to make graphs
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Graphic Details

Level Three
Number and Algebra
Figure It Out activities
This is a level 3 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.

continue a sequential pattern

The files will download as a zip archive. Double-click on the archive file to extract the attachments on your computer.