ICSE Class 8 Maths, Unit 3: Algebra

What this unit aims at

In this theme the focus will be on developing skills in children to use linear equations and systems of linear equations to represent, analyse, and solve a variety of problems. They should recognize equations for proportions (y/x = m or y = mx) as special linear equations (y = mx + b) and use a linear equation to describe the association between two quantities in bivariate data (such as arm span vs. height for students in a classroom). In this class, fitting the model, and assessing its fit to the data are done informally. Interpreting the model in the context of the data requires children to express a relationship between the two quantities in question and to interpret components of the relationship in terms of the situation. They should be able to strategically choose and efficiently implement procedures to solve linear equations in one variable, understanding that when they use the pr

Your child should be able to

• multiply and divide algebraic expressions (integral coefficient only)
• focus on some common errors like 2 + x ≠ 2x, 7x + y ≠ 7xy etc
• prove and use identities (a ± b)2 = a 2± 2ab + b, a2 – b2 = (a – b) (a + b) (a±b)2=a2±2ab+b2
• factorize algebraic expressions (simple cases only) as examples the following types a(x + y), (x ± y)2, a2 – b2, (x + a).(x + b)
• solve linear equations in one variable in contextual problems involving multiplication and division (simple rational coefficient in the equations)
• multiply two algebraic expressions and forms algebraic identities for square of binomials
• factorize an algebraic expression using identities
• find solution to inequalities in one variable using properties of in equalities

Key concepts in this unit

• Algebraic Expressions Multiplication and division of algebraic expression (Coefficient should be integers)
• Identities (a ± b)2 = a2± 2ab
• + b2, a2 – b2 = (a – b) (a + b).
• Properties of in equalities.
• Factorisation (simple cases only) as examples the following types a(x + y), (x ± y)2, a2 – b2, (x + a)(x + b)
• Solving linear equations in one variable in contextual problems involving multiplication and division (word problems) (avoid complex coefficient in the equations)