Secondary 2 - Number and Algebra
Standard 8.NA.5 - Simplify an expression by multiplying and dividing powers of monomials.
Included Skills: Algebra
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.