Functional Skills Teacher (Maths)

"Integers ( Directed Numbers) Introduction Number System Integers and Ordering of Integers Addition and Subtraction of Integers Operations on Integers Multiplication and Division of Integers Powers of Integers ( Exponents) Factors and Multiples Complete Knowledge about factors and multiples Divisibility Tests for 2,3,4,5,6 Divisibility Tests for 7,8,9,10,11 Prime Factorization Highest Common Factor (HCF) Word Problems based on H.C.F Least Common Multiples ( L C M) Word Problems on LCM Some Important facts on HCF & LCM Relation between HCF and LCM of two numbers Word Problems on LCM Some Important Facts about HCF & LCM Relation between lcm and HCF Fractions Classification of fractions Convert Mixed to Improper and Improper to mixed fractions Equivalent Fractions Comparing Fractions after converting to like Fractions Reducing a Fraction to its lowest terms Addition and Subtraction of Fractions Multiplication and Division of fractions Word Problems on Fractions Simplification Rule : BODMAS BODMAS and Rules to remove Brackets Simplify expressions Using BODMAS rule Simplify expressions involving fractions using BODMAS Decimal numbers Decimal numbers in relation to fractions Like and Unlike Decimals Ordering of Decimal Numbers Addition and Subtraction of Decimal Numbers Multiplication of Decimal Numbers Division of Decimal Numbers Rational Numbers What are Rational Numbers? Converting decimal numbers to fractions Converting Non-Terminating, recurring decimals to Fractions Skilled Problems on Converting decimals to Fractions Representation of Rational Numbers on Number line Determining which Fraction is terminating or non terminating decimal expansion Short cut method of writing decimal expansions of fractions easily. Irrational Numbers What are Irrational numbers? Practice Problems on Irrational Numbers Proving √2, √11 irrational number by contradiction method part 1 Proving Irrational numbers by contradiction method-2 Simplification problems on irrational numbers-1 Simplification problems on irrational numbers-2 Rationalizing the Denominator Approximation Rounding to whole number Rounding to required number of decimal places ( 1d.p.,2d.p. etc) Rounding to significant digits Practice Questions on three methods of Approximation Estimation and Scientific Notation or Standard form Estimation Scientific notation Operations on numbers when they are in scientific notation Percentage Percentage to fraction and fraction to percentage Percentage of a quantity and conversation to decimal Expressing one quantity as percentage of another quantity Finding increase/ decrease percent Uses of percentages- word problems Ratio and Proportion Ratio- How to express as simple ratio How to compare Ratios Word problems on finding ratios 51:To divide a given quantity into a given Ratio Proportion Practice problems on Proportion Continued Proportion Unitary Method and its Applications Direct Variation ( or proportion) Problems based on Direct Proportion Inverse Variation ( or proportion) Multiple Ratios Profit , Loss, discount and Tax Basics – Profit and Loss More practice problems on Profit & Loss Selling price formula and Problems Cost price formula and Problems Higher problems on Profit and Loss Basics of Discount Tax "