Patterns and Relations (Variables and Equations)

General Outcome: Represent algebraic expressions in multiple ways.

Specific Outcomes:

1. Model and solve problems concretely, pictorially and symbolically, using linear equations of the form:
1. ax = b
2. x/a = b, a ≠ 0
3. ax + b = c
4. x/a + b = c, a ≠ 0
5. a(x + b) = c
   ...where a, b and c are integers. [C, CN, PS, V]

Khan Academy:

• Modelling linear one-step equations (#1):
• Simple Equations of the Form ax = b Video
• Simple Equations of the Form x/a = b Video
• One-Step Equations With Multiplication Activity
• Simple Equations of the Form x + a = b Video
• Simple Equations: Examples Solving a Variety of Forms Video
• One-Step Equations Activity
• Modelling linear two-step equations (#1):
• Why Do We Do the Same Thing to Both Sides: Simple Equations Video
• Solving Two-Step Equations Video
• Solving a More Complicated Equation Video
• Example: Two-Step Equations Video
• Word Problem: Solving Equations Video
• Example: Two-Step Equation With Numerator X Video
• Two-Step Equations Activity
• Distributive property (#1):
• Distributive Property Explained Video
• Distributive Property Practice Video
• Distributive Property Algebraic Expressions Video
• Distributive Property Exercise Examples Video
• Distributive Property Activity