Which is a better fit, a square peg in a round hole or a round peg
in a square hole?
At the beginning of the night three poker players; Alan, Bernie and Craig had money in the ratios 7 : 6 : 5. At the end of the night the ratio was 6 : 5 : 4. One of them won $1 200. What were the assets of the players at the beginning of the evening?
A garrison of 600 men has just enough bread ... but, with the news
that the enemy was planning an attack... How many ounces of bread a
day must each man in the garrison be allowed, to hold out 45 days
against the siege of the enemy?
Note: the basic recipe is for 12 cakes (which is why the cost of 6 cakes is 33p - no half pence any more).
Start by laying out the three cards below in a group (they come from this set of cards, one mauve for the number of cards, one turquoise for the recipe, and one green with the cost of the ingredients):
Explain that this is the basic recipe, the number of cakes it will provide and the cost of the ingredients, without any extras.
Now pull out any one card from the rest of the cards and lay it out by itself. Then lay out all the rest of the cards face up and ask the students to find the other two that go with your single card. You should end up with a second group of 3 cards, a mauve one for the number of cakes, a turquoise one for the recipe, and a green one for the cost of the ingredients. Point out
that some of the quantities in the recipe are missing - can they supply the missing information?
Then lay out the arrow cards. Students should choose as many of these as they can to connect the two groups of cards, making sure the arrows are pointing the right way. Ask if they can think of other connections, using words or numbers, and get them to fill in blank arrows.
Students should then be ready to work in small groups, grouping the cards and using arrow cards (either those provided or their own ideas on the blank arrows) to connect the groups of cake cards. They should ensure that everyone in the group understands the placing of all cards and arrows and agrees them - if they don't all understand or agree, they should discuss the problem, not just
The photo shows what work in progress might look like.