Beyond Pizza together with Pies Book Study Part 4

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You made it!  This is the quaternary as well as lastly calendar week of our Beyond Pizza as well as Pies mass study.  Next Wed nosotros volition live jumping into the companion book, Beyond Invert as well as Multiply.  You tin laissez passer the axe social club this mass at Math Solutions or on Amazon.  There is a neat video introduction to this mass here if you lot desire to larn to a greater extent than almost it.  

If you lot missed the previous posts, you lot tin laissez passer the axe banking firm tally them out past times clicking on the links below! 
June tenth Chapters 1&2
June 17th Chapters 3&4
June 24th Chapters 5&6
July 1st Chapters 7&8

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Chapter 7: The Multiple Meanings of Fractions

When I started teaching, I was actually adept at using the surface area model.  Everything nosotros did related to fractions was all almost the surface area model.  This chapter focuses on the many unlike ways nosotros come across fractions inward life as well as on the 3 unlike models kids should live seeing for fractions inward the classroom.  Here are the 3 kinds of models kids should live seeing inward the classroom.

Area Model
This is the model that almost all programs include.  It is looking at partitioning as well as finding fractions of shapes similar circles, rectangles as well as squares.  Each cast has its advantages as well as drawbacks but I notice that my students conk the most mileage out of the rectangle.  Circles tin laissez passer the axe live really limiting because they are as well as thus difficult to segmentation equally.  I likewise similar rectangles because if you lot segmentation them vertically it leads nicely to transitioning to a publish line.

Set Model
This is when you lot hold off at finding fractions of a grouping of things.  Find one-half of the kids inward the class or notice three-fourths of the parcel of markers.  Having sense alongside prepare models actually helps kids when you lot conk to questions involving fractions as well as whole publish multiplication such as what is two- fifths of 25?

Number Line Model
Fractions are numbers as well as it simply makes sense to retrieve almost them on a publish line.  I dear how the publish occupation model leads to neat questions almost equality as well as the density of fractions (the persuasion that at that spot are e'er to a greater extent than numbers betwixt whatever 2 numbers).

The ability inward these models is actually using them all as well as moving betwixt them flexibly.  As McNamara states, "helping students sympathise the important of fractions inward unlike contexts builds their agreement of the relevant features of unlike fraction representations as well as the relationships betwixt them."

I dear the activities presented inward this chapter as well as e'er endeavor to brand certain I possess got roughly version of 7.1 included inward each aeroplane that has a fraction unit.  The persuasion of connecting the math they are learning to the existent the world is as well as thus of import as well as these kinds of lessons actually help.  Lesson 7.3, where students write fraction problems that tin laissez passer the axe live solved alongside diverse models looks great!  I possess got never done a lesson similar this during the fraction unit of measurement as well as I retrieve it would brand a neat addition.  I dear how this mass is helping me refine my plans for side past times side year.

Chapter 8 Comparing Fractions: Do You Always Need a Common Denominator? 

different strategies for comparison fractions.  I dear presenting kids alongside diverse fraction activities as well as watching them railroad train as well as refine these strategies for themselves.  It is e'er as well as thus fun to watch!

I was surprised past times the "What's the Research?" department of this chapter.  It is amazing how few kids could gauge the response to a fraction improver problem.  This is a occupation I would dear to accept dorsum to schoolhouse alongside me inward the autumn as well as laissez passer to the 6th graders.  I retrieve it would live a adept agency to banking firm tally inward alongside how nosotros are doing as a schoolhouse on our yell for to instruct kids how to retrieve almost math rather than simply doing procedures.  

I can't hold off to read your thoughts on this week's mass study!  Remember to come upward dorsum side past times side calendar week for the minute purpose of our summertime focus on fractions.

If you lot are looking for to a greater extent than ideas almost education fractions, banking firm tally out this weblog hop on squishing fraction misconceptions!  Just click on the links at the bottom of each post.  




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