Beyond Invert in addition to Multiply Book Study Part 2

Last week, nosotros looked at some enquiry some fractions in addition to pigeon into the 12 unlike employment types for add-on in addition to subtraction give-and-take problems.  This calendar week nosotros volition live on taking a closer await at fraction add-on in addition to subtraction.  

Here is the posting schedule. 

July eighth Part 1: What is a Fraction?

July 15th Part 2: Addition in addition to Subtraction amongst Fractions
July 22nd Part 3: Multiplication in addition to Division amongst Fractions
July 29th Part 4: Discourse amongst Fractions

Chapter 3: Making Sense: Addition amongst Fractions

Fraction add-on used to live on my enemy.  I scream back struggling amongst fraction add-on to a greater extent than than I struggled amongst whatever other theme inwards unproblematic schoolhouse math.  I learned it inwards such a rote in addition to procedural agency in addition to it didn't build a lot of feel to me.  Now when I intend dorsum to that experience in addition to I read some of the enquiry on fraction addition, I meet myself inwards the classic cases of how non to learn fractions.  I was that nipper who actually didn't know what estimating was or how to produce it in addition to I had no feel of the magnitude of fractions.  In unproblematic schoolhouse I would direct keep actually struggled amongst the employment they presented on page 42; "Estimate the reply to 12/13 + 7/8.  You volition non direct keep fourth dimension to solve the employment using pencil in addition to paper."   This is presented inwards a multiple pick format amongst the choices beingness 1, 2, 19, 21 in addition to I don't know.  I would direct keep been inwards the 76% of kids who could non reply this query correctly.

Guided Math time.  If yous are looking for ideas for helping kids prepare these foundational understandings, banking concern check out Beyond Pizzas in addition to Pies or A Focus on Fractions.

It struck me when reading this chapter how similar fraction add-on is to whole number addition.  We oft process it equally a build novel theme but I intend nosotros immature adult woman out on connecting it to what kids already know almost whole number addition.  The properties all nevertheless concur truthful in addition to some of the strategies kids developed when learning basic add-on tin too assistance them when learning fraction addition.  I experience similar the thought of decomposing numbers to build friendly tens in addition to hundreds is something nosotros are doing real good at my school.  However, I don't intend that nosotros are using this science quite equally good amongst fractions.  The video clips from lesson 3.4 actually opened my hear to some novel ideas to endeavour this year.


My other big accept away from this chapter was activity 3.6.  As individual who was terrible at estimating in addition to didn't actually acquire it, this activity would direct keep actually helped me out.  I too similar that it could live on used for whatever performance amongst whatever number.  This is definitely a routine that is getting added to my math classes.  This is the activity where yous hand students a employment in addition to direct keep them country yous all they tin almost the answer.  I specially liked the judgement starters for those students who are stuck:

• The reply volition live on to a greater extent than than ______ because _________
• The reply volition live on less than ______  because _________
• The reply volition live on betwixt _______ in addition to ________ because ________

Chapter iv Making Sense: Subtraction amongst Fractions

This chapter actually got me thinking almost the mistakes kids build when subtracting fractions.  It seems similar it equally the inverse of addition, subtraction should live on real similar but it ever seems to trip upward a lot to a greater extent than kids.  Here are examples of some of the most mutual mistakes for fraction subtraction. 

• Seeing the numerators in addition to denominators equally split whole numbers in addition to subtracting across both of them.  
  

• Finding a mutual denominator but non making the corresponding alter to the numerator.
  

• When presented amongst mixed number subtraction, ignoring the fractional purpose in addition to only subtracting the whole numbers or vice versa. 
  

• For a employment where the minuend is a whole number in addition to the subtrahend is a fraction, thinking the whole number has the same denominator equally the fraction.

• The borrowing issues! On the left the pupil does iv - two but in addition to hence ignores the fact that is should live on 2/4 - 3/4 in addition to switches them around.  On the right, the pupil borrows a whole in addition to turns it into 10/4. 
  
• Context problems!  When writing give-and-take problems, at that spot is a sparse describe of piece of work betwixt a fraction subtraction a fraction multiplication problem.  I similar to hand my students this piffling printable pictured below, direct keep them cutting the stories apart on the sparse dark lines in addition to direct keep them variety them according to which performance they could utilisation to solve them.  Many students intend they are the same at start glance.  Look closely!  A few words changed build for a big departure inwards the performance in addition to approach for solving the problem.  If yous desire to endeavour these amongst your students, yous tin grab them from Google Drive.  

  

  Grab this freebie here!  

  What mistakes produce yous meet students making amongst fraction subtraction?  Leave your response inwards the comments department below or caput over to my Facebook page in addition to allow us know what yous think!

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