Beyond Invert in addition to Multiply Book Study Part 1

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Welcome to the offset installment of our Beyond Invert together with Multiply mass study.  You tin sack fellowship this mass at Math Solutions or on Amazon.  There is a bully video introduction to this book here if yous desire to acquire to a greater extent than virtually it.  
Welcome
This mass is written virtually fraction operations together with is a follow upwards to Beyond Pizza together with Pies.  I accept received several emails together with Facebook messages from folks quest which mass they should acquire if they accept to alternative only one.  My respond to that is that if yous learn grades 2-3, become alongside Beyond Pizzas together with Pies.  If yous learn grades iv together with upwards yous REALLY should accept both.  If your students lack the foundation noesis covered inwards Beyond Pizzas together with Pies, many of the activities suggested inwards Beyond Invert together with Multiply volition live a acquire by for your students.  

Chapter 1: Fractions As Numbers

I beloved the means this chapter starts off alongside the classroom scenario of the human let on line.  This is a bully means to innovate kids to big ideas virtually let on lines together with doing it inwards a big means similar this makes it rattling memorable.  I experience similar kids actually acquire the thought of equal spacing when doing a human let on occupation together with I mean value this is a bully means to review what let on lines are earlier moving into working alongside fractions on a let on line.

The chapter lays out these v foundational understandings virtually fractions that kids demand inwards fellowship to compute alongside understanding.  These are the things that yous volition detect your students tripping upwards on when learning fraction operations.  These are the things that are worth devoting only about shape fourth dimension to earlier jumping into fraction operations.  They are all big conceptual ideas together with together shape the foundation for fraction understanding. 
  • Fractions are numbers together with follow the same rules together with properties equally other rational numbers. 
  • The unit of measurement fraction is the edifice block of fractions.
  • Fractions tin sack live decomposed together with recomposed inwards interplanetary space ways.
  • Equivalent fractions stand upwards for dissimilar ways of naming the same value.
  • All rational numbers tin sack live expressed equally fractions inwards the shape a/b, where b does non equal 0. 

The other affair that actually struck me inwards this chapter was how of import let on lines are.  Over together with over ane time again yous encounter how they tin sack help kids encounter fractions equally numbers.  The activities together with DVD clips inwards this department practise such a bully project capturing the ability of the let on line.  It is difficult to believe that less than 10 years ago, I had never used a let on occupation for fractions inwards my ain mathematics or alongside my students.  

Chapter 2: Addition together with Subtraction alongside Fractions
This chapter dives headfirst into the question on occupation types for add-on together with subtraction give-and-take problems.  These occupation types are used alongside whole numbers together with should likewise live used alongside fractions. If yous move the Common Core for your standards, these occupation types are detailed inwards the glossary.  I wishing this tabular array was correct inwards the standards themselves because many people immature adult woman it.  I accept included a snapshot below!  If it is out of focus or difficult for yous to read, yous tin sack click hither to encounter a ameliorate copy.  


If your students accept never experienced these problems alongside whole numbers, I would live hesitant to innovate them alongside fractions.  I mean value it is worth the fourth dimension to become dorsum together with practise only about of these occupation types alongside whole numbers earlier expecting kids to practise them alongside fractions.  When my schoolhouse offset started paying attending to all the dissimilar occupation types, nosotros started alongside the primary students on unmarried digits, moved upwards to double digit computation together with thus lastly used the dissimilar occupation types alongside fractions.

Which occupation type is this?  Feel gratuitous to peek at the tabular array above! Grab these cards here:) 

How would your students practise on this one?  Would they move subtraction or a missing addend? Which occupation type is this? 


I mean value at that topographic point is a lot of value inwards sitting downwards together with writing only about of each of the occupation types for your students to use.  It tin sack live challenging at first, but gets much easier alongside time.  If yous desire to explore only about problems that accept already been written, yous tin sack depository fiscal establishment jibe these out!
Addition together with Subtraction Facts
Double Digit Addition together with Subtraction
Fraction Addition together with Subtraction

There was likewise a chapter on the dissimilar occupation types inwards Children's Mathematics.  You tin sack read my thoughts on that here!

Your turn!  Please nation us how yous are doing alongside fractions inwards the comments below together with what yous thought virtually this week's reading.  Has your schoolhouse addressed the dissimilar occupation types for add-on together with subtraction?  How are your students doing at developing the v foundational understandings for fractions?  

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