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# Topic 17 Year 7 Mathematics

 Mathematics Topic Percentages No of lessons 8 When is it happening Term 3 Year 7 What will students learn In this unit, students work with percentages as another representation of ratios and fractions. The different ways of interpreting fractions are again referenced in this unit building on work from the previous unit in connecting ratios to fractions and decimals. In order to manipulate calculations involving percentages, students need to be able to use their knowledge of arithmetic with decimals and fractions. Therefore, it is important that students are also able to interpret percentages first as a number between 0 and 1 before moving onto work with percentages greater than 100 Key Knowledge that students should know at the end of 'Topic' This is the knowledge that students will meet for the first time in this topic "Understand percentages as a ratio of two quantities where one quantity is standardised to 100 Understand percentages as a fractional operator with a denominator of 100 Understand and interpret percentages over 100 Interpret a percentage as a fraction and decimal Express a quantity as a percentage of another Compare two quantities using percentages Find a percentage of an amount with and without a calculator Increase and decrease a quantity by a given percentage • Find a quantity given a percentage of it" This is knowledge that students may have met before but will need to deepen their understanding Understand percentages Fractions to percentages Equivalent FDP Order FDP Percentage of an amount (1) Percentage of an amount (2) Percentages – missing values Key Skills that students should be able to demonstrate at the end of 'Topic' This is the skills  that students will meet for the first time in this topic Increase an amount by a percentage This is skills that students may have met before but will need to develop Find any percentage of an amount Key vocabulary that students should know and understand Ratio, fraction, proportion, equivalent, percentage, decimal, quantity, denominator The Big Question How do i calculate a percentage? Key questions that students should be able to answer at the end of the 'Topic' Can I work out percentages on a number line? Can  I calculate equivalent decimals and percentages? Can I  convert between fractions and decimals? Can I use a bar model to calculate a percentage of a quantity? Can I use a number line to calculate percentage of quantities? Can I use percentage multipliers less than 100%? Can I use percentage multipliers greater than 100%? Can I use percentage multipliers to calculate percentage increases and decreases?