Tag: fraction charts

Montessori Fraction Charts

After the confusion that was the fraction charts last semester, I sat down and re-did them this week since my fraction section of the album was due.  It helped that I’ve actually seen and illustrated the whole fraction section of the album.  It made organizing and understanding why the charts were there.

I do want to note that my trainer said it’s better if the kids are making these charts.  So I don’t know whether or not I’m going to be printing these out for Thumper.  A few weeks ago, she made a multiplication table when she needed them.  I kind of want the same thing to happen with the fraction charts.  It’s no use as a reference if she doesn’t need them.

I have 22 fraction charts.  It’s based on the album and also copies of my trainer’s fraction charts (which were not complete and also were missing charts or had extra charts).  I also used these three sites as reference:

It’s two more than the first two websites, because of chart 8 and chart 11.  Their charts do not have these “statements”.  One is imbedded in another chart.  But since my album says so, I made mine that way.  There’s also a mysterious chart 22, which isn’t listed in the album itself.  I’m guessing it probably should belong within a multiplication chart, but the trainer didn’t have space for it.  I also made a change from the original charts so it said like and unlike denominators.

  1. Introduction to Quantity, Symbol, and Language
  • Chart 1 – Fraction as circular units divided into pieces from 1 to 5.
  • Chart 2 – Fraction as circular units divided into pieces from 6 to 10.
  • Children may make square charts.
  1. Equivalence
  • Chart 3 – Equivalence for 1/2 fractions
  • Chart 4 – Equivalence for 1/3 fractions
  • Chart 5 – Equivalence for 1/4 and 1/5 fractions
  1. Addition
  • Chart 6 – Addition of fractions with like denominator, ending with whole number
  • Chart 7 – Addition of fractions with like denominator, ending with fractions
  • Chart 8 – Statement: How to add and subtract a fraction with like denominators
  • Chart 9 – Addition of two numbers with unlike denominators
  • Chart 10 – Addition of three numbers with unlike denominators
  • Chart 11 – Statement: How to add and subtraction a fraction with unlike denominators
  1. Subtraction
  • Chart 12 – Subtraction with like denominators
  • Chart 13 – Subtraction with unlike denominators
  1. Multiplication
  • Chart 14 – Fraction times whole number
  • Chart 15 – Fraction times whole number plus rule
  • Chart 16 – Fraction times whole number and fraction times fraction
  • Chart 17 – Fraction times a fraction plus rule
  1. Division
  • Chart 18 – Fraction divided by whole number
  • Chart 19 – Fraction divided by whole number plus rule
  • Chart 20 – Group division
  • Chart 21 – Fraction divided by fraction

Chart 22 – Extra chart on multiplication

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Making Fraction Charts (or, I don’t get fractions)

Update: I figured out how to make the fraction charts 6 months later.  Here’s my post and pics of the final charts.

After about two weeks desponding over my incomprehension of using work plans, kids speeding through materials in 15 minutes, and a month of not really making new materials, I jumped back into fraction work.  Anything to keep my mind of my hated 3 hour work period (I semi-jest). Early November, Thumper was introduced to the fraction insets.  She got the concept of naming fractions in both Chinese and English in about 10 minutes.  I somehow convinced her to do a fractions match-up activity borrowed from What Did We Do All Day for about 10 minutes.  She dragged her feet.  Then the last 3 weeks we’ve been doing fraction equivalence; 1 page a week. I feel like I’m pulling teeth.  But I will leave my moping for another day. This week, I thought I would mix things up by introducing fraction addition.  But first I have to make those Fraction Charts.  According to my album, there are 21 charts.  They are not impressionistic as they’re more for reference, and therefore do not need to be big.  I cross referenced with What Did We Do Today and Montessori School At Home, and my own album.  I still don’t get what some of the charts should be.  My album says one thing, the charts online say another.  I’m going to wait till my class this Spring to ask the prof.

  • Chart 1 & 2 –  Fraction circles
  • Chart 3, 4, 5 – Equivalence for 1/2, 1/3, 1/4, 1/5
  • Chart 6 – Addition with same denominator, ending with whole number
  • Chart 7 – Addition with same denominator, ending with fractions
  • Chart 8 – 12 – Not sure
  • Chart 13 – Subtracting with different denominators
  • Chart 14 – Multiplication with whole number
  • Chart 15 – Multiplication with whole number, with rule
  • Chart 16 – Multiplication of whole number with fraction and fraction with fraction
  • Chart 17 – Multiplication of fraction with fraction, with rule
  • Chart 18 – Division with whole number
  • Chart 19 – Division with whole number, with rule
  • Chart 20 – Group Division
  • Chart 21 – Division of fraction with fraction

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