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Equations and formulas - intermediate

This lesson comprises two (2) master classes focusing on:

  • Equivalent equations
  • Equations with fractions
  • Equations with brackets
  • Equations with pronumerals on both sides
  • Solving linear and simple quadratic equations
  • Formulas and relationships
  • Inequalities

Content:

MA4-EQU-C-01


Solve linear equations up to 2 steps

  • Represent number sentences involving unknown quantities using pronumerals
  • Describe number sentences as equations
  • Distinguish between and compare algebraic expressions and equations
  • Solve linear equations with integer and non-integer solutions using algebraic techniques that involve up to 2 steps, including equations with pronumerals on both sides
  • Model and solve word problems using equations of up to 2 steps

Solve and verify linear equations by substitution

  • Verify solutions to equations by substitution
  • Solve problems involving linear equations, including those arising from substituting given values into formulas

Solve quadratic equations

  • Reason why there are 2 values of \( x \) that satisfy a quadratic equation of the form \(  x^2=c \) if \(  c \ne 0 \)
  • Solve problems involving quadratic equations of the form \(  ax^2=c \) , giving answers in exact form and as decimal approximations
  • Solve quadratic equations arising from substitution into a formula

 

MA5-EQU-C-01


Solve linear equations involving up to 3 steps

  • Solve linear equations using algebraic techniques involving up to 3 steps
  • Solve linear equations with pronumerals on both sides of the equation
  • Solve linear equations involving grouping symbols
  • Verify solutions using substitution

Solve linear equations involving one algebraic fraction

  • Solve linear equations involving one algebraic fraction using up to 3 steps

Solve linear equations arising from word problems and substitution into formulas

  • Solve linear equations arising from substitution into formulas
  • Represent word problems as linear equations, solve the equations and interpret the solutions in the context of the problem