Math Games

Secondary 2 - Number and Algebra

Standard 8.NA.5 - Practice simplifying variable expressions using the distributive property.

Included Skills:

Algebraic expressions and formulae
• 5.1 simplification of linear expressions with fractional coefficients such as 2x/3 - 3(x-5)/2
• 5.2 expansion of the product of two linear expressions
• 5.3 use brackets and extract common factors
• 5.4 use of:
- (a + b)² = a² + 2ab + b²
- (a - b)² = a² - 2ab + b²
- a - b² = (a + b)(a-b)
• 5.5 factorisation of quadratic expressions ax² + bx + c
• 5.6 multiplication and division of simple algebraic fractions such as (3a/4b²)(5ab/3), 3a/4 ÷ 9a²/10
• 5.7 Use algebra manipulatives, e.g. algebra discs to explain the process of expanding the product of two linear expressions of the form px + q, where p and q are integers, to obtain a quadratic expression of the form ax² + bx + c.
• 5.8 Use the AlgeDisc application in AlgeTools, to factorise a quadratic expression of the form ax² +bx + c into two linear factors where a, b and c are integers.
• 5.9 Work in groups to identify and explain common errors in algebraic manipulations, such as (x + y)² = x² + y².