Author Archives: MsKMP

23. Coffee overload

I was sat in a coffee shop when I overheard the barista say to a customer ‘Take your time, there are about 20,000 different drinks available’.

Sounded like a mathematical challenge to me.

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If the menu below was real, how many different drinks could made?

How many would be drinkable?

Size: S, M, L

Drink: Filter, Americano, Cappucinno, Machiatto, Latte, Espresso, Hot chocolate.

Coffee type: Decaf or caffeinated

Flavour: Vanilla, Mint, Hazelnut, Ginger, Caramel, None

Milk: None, whole, skimmed, soya

Hint: Be methodical, work out the hot chocolate options first.

Solution
Hot choc
Size *Flavour*Milk = 3*6*4 = 72

Coffee
Size*Drink*Type*Flavour*Milk =
3*6*2*6*4 = 864

Total number of drinks
864 + 72 = 936

This doesn’t consider extra shots of coffee or syrup. Imagine how many variations there are in a big coffee shop!

Me … I’ll have a black filter, no milk, no sugar.

19. Fraction Skills Foldable

This resource was designed to recap basic fraction skills as part of KS4 revision. The foldable covers:
1. Addition with common denominator
2. Addition with different denominators (butterfly method)
3. Subtraction with different denominators (butterfly method)
4. Subtraction with mixed numbers
5. Multiplication
6. Multiplication with mixed numbers
7. Division (reciprocal method)
8. Division of a whole number by a fraction

It also deals with equivalent fractions, simplifying and converting between mixed & improper fractions.

Each section has a title, method and example.

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This is a draft ‘teacher’ version. My students made theirs look really good with different colours, highlighter and their own examples.

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Note: this isn’t for teaching a full understanding of fraction manipulation, just summarising facts.

18. Similar triangles

This quick activity shows that although the sides change in similar triangles, the angles stay the same. It can also be used with enlargement.

Equipment
Two pieces of different coloured card (A5 or A6 is fine)
Ruler
Pencil
Scissors
Sticky tape

Step by step instructions
Two Lines
Draw a line parallel to the long sides of one piece of card (min 2cm from the edge)

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Wrap
Place the two pieces of card at 90 degrees to make a cross.

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Wrap the lined card around the unlined card

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Cut
Mark out a triangle using the pencil lines as a guide.
Cut along two sides as shown. It’s okay to tidy up a messy cut, so long as the line remains straight.

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Stick
Turn over the card and refold in the opposite direction. Stick the bottom edge of the folded card in place, as shown.

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Slide
Slot the second piece in place.

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Turn over.

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As the slider moves up and down a contrasting triangle appears and disappears.

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You can measure the sides & angles of every triangle you make.

This can be stuck into books by gluing along the folded edges, which still allows the slider to move.