What can a graph tell us about the relationship between two variables? What is a proportion? One of the classes Harry Potter must take is Potions, where he must mix the correct amount of ingredients in his cauldron to get the desired potion - what happens if he makes a mistake in the amount of ingredients? If you wanted to double a recipe, what would you need to do to the amount of each ingredient in the recipe? A recipe is for 6 servings, but you are only cooking for two people - how can you adjust the recipe?

How can we calculate a unit rate for a function by looking at a graph? What is the difference between a ratio and a rate? When given a unit rate of 4/3, how did you calculate how many ingredients you needed to make 80 potions? How is the unit rate related to the slope? Why did the proportional graphs always include the point (0, 0)? What is another example of a situation where you must use unit rate or proportions? You can use proportions in a variety of ways - what was your preferred strategy to figure out the correct amount for each potion?