Secondary 1 - Number and Algebra
Standard 7.NA.5 - Practice simplifying variable expressions by adding and subtracting like terms.
Included Skills: Number Properties, Algebra, Mixed Equations
Algebraic expressions and formulae • 5.1 using letters to represent numbers • 5.2 interpreting notations: - ab as a x b - a/b as a ÷ b or a x 1/b - a² as a x a, a³ as a x a x a, a²b as a x a x b,... - 3y as y + y + y or 3 x y - 3(x + y) as 3 x (x + y) - 3 + y/5 as (3 + Y) ÷ 5 or 1/5 x (3 + y) • 5.3 evaluation of algebraic expressions and formulae • 5.4 translation of simple real-world situations into algebraic expressions • 5.5 recognising and representing patterns/relationships by finding an algebraic expression for the nth term • 5.6 addition and subtraction of linear expressions • 5.7 simplification of linear expressions such as 2(x - 3y) 4x - 2(3x - 5) 3(x - y) - (2y + x)- y • 5.8 Use spreadsheets, e.g. Microsoft Excel, to - explore the concept of variables and evaluate algebraic expressions. - compare and examine the differences between pairs of expressions, e.g. 2n and 2 + n, n² and 2n, 2n² and (2n)². • 5.9 Use algebra discs or the AlgeDisc application in AlgeTools to make sense of and interpret linear expressions with integral coefficients, e.g. 4x - 3y and -3(x-2). • 5.10 Use the AlgeDisc application in AlgeTools to construct and simplify linear expressions with integral coefficients. • 5.11 Work in groups to select and justify pairs of equivalent expressions. • 5.12 Write algebraic expressions to express mathematical relationships, e.g. for the statement "There are 3 times as many boys as girls", if we let x be the number of girls, then the number of boys is 3x. This can also be written as b= 3g, where b and g are the number of boys and girls respectively. • 5.13 Explore number patterns and write algebraic expressions to represent the patterns.