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NSW Curriculum
NSW Education Standards Authority

K–10Mathematics K–10 Syllabus (2022)

Content

Stage 5

Equations B (Path)

Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.

Solve monic quadratic equations
  • Solve quadratic equations of the form ax2+bx+c=0, limited to a=1, using factors

Solve cubic equations
  • Determine that for any value of k there is a unique value of x that solves a cubic equation of the form ax3=k where a0

  • Solve cubic equations of the form ax3=k, leaving answers in exact form and as decimal approximations

Solve linear inequalities and graph their solutions on a number line
  • Represent Loading  on a Loading 

  • Solve linear inequalities, including those with negative numbers, and Loading  the solutions

  • Recognise that an inequality has an infinite number of solutions unless other restrictions are introduced

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