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# Topic 15 Year 7 Mathematics

 Mathematics Topic Manipulating and calculating with fractions No of lessons When is it happening Term 3 Year 7 What will students learn In this unit students extend their understanding of applying the four operations to non-integer values. This includes non-integers represented as fractions, decimal fractions and mixed numbers. Students find fractions of amounts by considering the multiplication of an amount by a fraction. The different conceptual meanings of fractions multiplied by integers are explored including different equivalent ways of writing such expressions. 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 Multiplying unit fractions with integers comparing “lots of” and “of” model Applying the same models to non-unit fraction Using area models to multiply two fraction Applying knowledge of decimals and percentages to use the area model of fraction multiplication. This is knowledge that students may have met before but will need to deepen their understanding Equivalent Fractions, Simplifying Fractions, converting improper fractions to mixed fractions 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 Multiplying and dividing mixed fractions This is skills that students may have met before but will need to develop Multiplying and dividing proper fractions Key vocabulary that students should know and understand Fractions, percentage, improper, equivalent, decimal, numerator, denominator The Big Question How do I calculate with fractions? Key questions that students should be able to answer at the end of the 'Topic' How do I find the product of  a unit fraction and an integer? How do I find the product of  any fraction and an integer? How can an area model help when multiplying two fractions? How can decimals help when multiplying fractions? What affect does dividing a fraction by an integer have on the numerator and denominator? How can I use a model to divide fractions? What systematic thinking could help divide fractions? How can I apply my understanding of dividing fractions to different problems? How do I add or subtract fractions when there is an equal denominator? How do I add or subtract fractions when the denominators are not equal? How can I add and subtract fractions efficiently? What is the distributive law and how can it help make calculations simpler?