Unit 1

MYP subject group objective(s)

• A: Knowing and understanding

  • i. select appropriate mathematics when solving problems in both familiar and unfamiliar situations

  • ii. apply the selected mathematics successfully when solving problems

  • iii. solve problems correctly in a variety of contexts

• B: Investigating patterns

  • i. select and apply mathematical problem-solving techniques to discover complex patterns

  • ii. describe patterns as general rules consistent with findings

  • iii. prove, or verify and justify, general rules

• Scientific notation

• Expanding and simplifying expression with brackets

• Solving linear equations including with variables on both sides and fractional denominators

• Worded problems involving simultaneous equations

• Factorising expressions

• Factorising quadratic expressions with coefficient of x2 as 1

• Solving quadratics with coefficient of x2 as 1

• Changing the subject of formulae

• Simplifying algebraic fractions

• Extension – changing subject of formulae with indices, solving inequalities – algebraically and graphically, linear programming problems, factorising and solving quadratics with coefficient of x2 greater than 1, solving quadratics by completing the square, simultaneous linear and quadratic equations, Matrix algebra and use of matrices to solve simultaneous equation

• Arithmetic sequence and the sum of arithmetic series.

• Geometric sequence and the sum of geometric series

• Extension: Sum of an infinite geometric series Compound interest

• Finding rules given sequences of numbers

• Practical problems involving sequences : process of specialising, generalising, hypothesising, testing and proof