Equations, formulas and inequalities - beginner

This lesson comprises three (3) master classes focusing on:

• Introduction to equations
• Solving equations by inspection and systematically
• Equivalent equations
• Equations with fractions
• Equations with brackets
• Formulas and relationships

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