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NA6-7: Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns.

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Teaching resources for this Achievement Objective
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Moving and Shaking

Level Six
Number and Algebra
Figure It Out activities
This is a level 5 and 6 number activity from the Figure It Out theme series. A PDF of the student activity is included.

write large numbers in standard form

extrapolate information from an exponential graph

interpret (by interpolation) information froma exponential graph

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Peter's third string

Level Six
Number and Algebra
Problem solving activities
This problem solving activity has a number and algebra (equations and expressions) focus.
  • Determine the maximum area of a rectangle with a given perimeter.
  • Consider how the area of a quadrilateral changes as its shape changes.
  • Interpret a relationship from a graph.
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Rectangular milk bottle crates

Level Six
Number and Algebra
Problem solving activities
This problem solving activity has a number and algebra (equations and expressions) focus.
  • Find and use patterns to solve a problem (algebraically or by using a table).
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Square milk bottle crates

Level Six
Number and Algebra
Problem solving activities
This problem solving activity has a number and algebra (equations and expressions) focus.
  • Find a rule for a quadratic pattern.
  • Explain the rule for a quadratic pattern.
  • Devise and use problem solving strategies to explore situations mathematically (be systematic, draw a diagram, use a table, use algebra).
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Tilted Squares and Right Triangles

Level Six
Integrated
Units of Work
This is an investigation, leading to the derivation and use of Pythagoras' Theorem in two and three dimensions. The initial focus of this unit involves students in aspects of geometry from levels 4 and 5 of the curriculum, to establish the groundwork necessary for the final stages of the unit.
  • Devise an algebraic rule to identify tilted squares that can fit on geoboards of different sizes.
  • Devise an algebraic rule to identify the size of the smallest square geoboard on which tilted squares can fit.
  • Devise and use an algebraic rule for Pythagoras’ theorem.
  • Devise algebraic rules to300