Gr 8 (Algebra)

Algebraic Language:

• Conventions: Understand and use proper notation for algebraic expressions.

• Terms: Identify like and unlike terms, coefficients, and exponents.

Expanding and Simplifying Algebraic Expressions:

• Operations: Use commutative, associative, and distributive laws to add, subtract, multiply, and divide algebraic expressions.

• Exponents: Apply the laws of exponents to simplify expressions.

• Substitution: Evaluate algebraic expressions by substituting values for variables.

Algebraic Equations: 

• Solving equations: Use additive and multiplicative inverses and the laws of exponents to solve equations.

• Substitution: Create tables of ordered pairs using substitution.

ALGEBRA

Algebraic language 

• Recognise and identify conventions for writing algebraic expressions Identify and classify like and unlike terms in algebraic expressions 

• Recognise and identify coefficients and exponents in algebraic expressions

 
Expand and simplify algebraic expression 

• Use commutative, associative and distributive laws for rational numbers and laws o exponents to: 

‒ Add and subtract like terms in algebraic expressions 

• Recognise and interpret rules or relationships represented in symbolic form 

• Identify variables and constants in given formulae and/or equations  

ALGEBRAIC EXPRESSIONS 

Expand and simplify algebraic expressions 

Use commutative, associative and distributive laws for rational numbers and laws of exponents to: 

• Add and subtract like terms in algebraic expressions 

• Multiply integers and monomials by: 

‒ Monomials 

‒ Binomials 

‒ Trinomials 

• Divide the following by integers or monomials: 

‒ Monomials 

‒ Binomials 

‒ Trinomials 

• Simplify algebraic expressions involving the above operations 

• Determine the squares, cubes, square roots and cube roots of single algebraic terms or like algebraic terms 

• Determine the numerical value of algebraic expressions by substitution 

ALGEBRAIC EQUATIONS 

Equations 

• Use substitution in equations to generate tables of ordered pairs 

• Extend solving equations to include: 

‒ Using additive and multiplicative inverses 

- Using laws of exponents