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 noninteger values. This includes nonintegers 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 nonunit 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? 