What Fraction Is Shaded?

Answers in a PowerPoint to the recent ‘what fraction is shaded’ black and white series.




Fractions Decimals Percentages (TLP)

Below: Worksheets.com has some nice err… worksheets:

Fractions / Decimals / Percentages


Below: Blog post from GreatMathsTeachingIdeas about a new approach to converting fractions / decimals / percentages


A couple of nice ideas were tweeted recently:

And a nice idea via resourceaholic at the link.

Division of Fractions using Bar Modelling

I was shown this innovative way to perform fraction division using bar modelling today. I previously thought bar modelling for this topic didn’t really work. As did many others.


I think it’s pretty clever. Convert the fractions into equivalents with a common denominator, draw out the first fraction by shading in a bar model, then circle equal sized groups of the size of the numerator of the second fraction (in this case, 5) up to and including the last shaded cells. In this case, we have 2 wholes (2 entirely shaded groups) and 2/5 – because 2/5 of the final group was shaded.

Fractions, Fractions, Fractions

I’ve been creating a lot of resources for a fractions unit in Year 7 over the last month or so. I think they’re just about finished now, so I thought I’d share them.

Part 1: Shading Fractions

3 tiers of difficulty (Sup = supported, Med = Medium, Higher = Higher…duh!).

Fraction Shading_Sup 2

Fraction Shading_Med 2

Shading Fractions Higher 2

I tried to write these in such a way that the visualisation of fractions as a proportion rather than a literal size comes across.

shade 2

shade 1

Part 2: Equivalent Fractions

Again, emphasis on pictoral representation initally, with visually challenging versions of fractions for higher groups. Abstract examples also include algebra – which incidentally I feel should be generally integrated into all topics rather than completely stand alone.

fraction ordering H 2

fraction ordering Med 2

fraction ordering Sup 2

ordering 2


Part 3: Equivalent Fractions

I only made one worksheet for this, as it’s diferentiated within the questions (columned tiers of difficulty). Similar to the first 2 sections, starting with an emphasis on pictoral representation, switching to abstract, switching to algebra.

Equivalent Fractions_H 2



Part 4: Adding / Subtracting Fractions

Adding Fractions_H 2

Adding Fractions_Int 2

Adding Fractions_Sup 2

Adding and Subtracting Fractions

3 tiers of worksheet, followed by a different sheet altogether that differentiates through columns of increasing difficulty. Bar modelling of sorts is used for pictoral introductions.




Part 5: Multiplying Fractions

2 sets of near identical tiered worksheet. One version uses bar models in one style, the other uses a perhaps more favourable ‘area’ style version. (see below for examples)


Multiplying Fractions_Higher

Multiplying Fractions_Int

Multiplying Fractions_Lower

(Above is one way of multiplying using bar-style representation)


Multiplying Fractions_Lower_ALT

Multiplying Fractions_Int_ALT

Multiplying Fractions_Higher_ALT

(Above is the second style that I think is maybe more intuitive?)


Part 6: Dividing Fractions

Dividing With Fractions_Int

Dividing With Fractions_Sup

Just two versions this time. I suspect the intermediate version will be sufficiently difficult for higher groups if you lead which questions they attempt, rather than go linear start to end.



Part 7: Fractions of Amounts

Fractions of Amounts_Sup

Fractions of Amounts_Med

Again just two versions for the same reason as before.



Part 8: Extras

I didn’t make these, but they’re useful:

Number Line by Paula Krieg:

number line

Fraction Strips Templates

Interactive Fraction Strip Tool:


My ‘Complements’ post about fractions


Enjoy 😀