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

Teaching resources for this Achievement Objective

This is a level 5 and 6 number activity from the Figure It Out theme series.

write large numbers in standard form extrapolate information from an exponential graph interpret (by interpolation) information froma exponential graph

Figure It Out activities

Number and Algebra

Determine the maximum area of a rectangle with a given perimeterConsider how the area of a quadrilateral changes as its shape changesInterpret a relationship from a graph

Problem solving activities

Number and Algebra

Level Six

Find and use patterns to solve a problem (algebraically or by using a table)

Problem solving activities

Number and Algebra

Level Six

Find a rule for a quadratic patternJustify or explain the rule for a quadratic patternDevise and use problem solving strategies to explore situations mathematically (be systematic, draw a diagram, use a table, use algebra).

Problem solving activities

Number and Algebra

Level Six

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 to find...

Units of Work

Number and Algebra

Level Six