Mud Pie Bakery

You work at a mud pie bakery, and are in charge of making various mud desserts such as cakes, pies, and cookies. You must complete customers’ orders which involve baking different versions of baked goods and also splitting baked goods into different amounts using fractions. Today is a busy day, since there are many orders from customers that need to be completed before the end of the day. Before you begin, you can get a small refresher on fractions. [[Refresher ->Refresh]] Or you can go straight to working on orders. [[Begin Orders -> Cookies]]

The first order is for a customer who wants to buy cookies as a gift for their friend. They want 4 red berry cookies and 2 purple berry cookies. (set: $cookies2w1 to false) (set: $cookies2w2 to false) How many cookies are there in total? [[4 cookies -> Wrong1]] [[6 cookies -> Right1]] [[2 Cookies -> Wrong1]]

Good try! There are 4 red berry cookies but also 2 purple berry cookies. If you add 2 to 4 you get 6. [[Next question -> Cookies2]]

Good job! When you add 2 cookies to 4 cookies you get 6 cookies in total! [[Next question -> Cookies2]]

If there are 4 red berry cookies and 2 purple berry cookies, what fraction of the cookies are red berry? <img src="mpb1.jpg" width="256" height="200"> (set: $cookies3w1 to false) (set: $cookies3w2 to false) (if: $cookies2w1 is false and $cookies2w2 is false)[ [[2/3 ->Right2]] [[1/3 ->Wrong2.1]] [[4/6 ->Right2]] [[2/4 ->Wrong2]] ] (else-if: $cookies2w2 is false and $cookies2w1 is true)[ [[2/3 ->Right2]] [[4/6 ->Right2]] [[2/4 ->Wrong2]] ] (else-if: $cookies2w2 is true and $cookies2w1 is false)[ [[2/3 ->Right2]] [[1/3 ->Wrong2.1]] [[4/6 ->Right2]] ] (else-if: $cookies2w2 is true and $cookies2w1 is true)[ [[2/3 ->Right2]] [[4/6 ->Right2]] ]

Good job! 4/6 (also known as 2/3) of the cookies are red berry cookies! <img src="mpb1.jpg" width="256" height="200"> If 4/6 of the cookies are red berry cookies, what fraction of the cookies are purple berry cookies? (if: $cookies3w1 is false and $cookies3w2 is false)[ [[2/3 ->Wrong3]] [[1/3 ->Right3]] [[2/6 ->Right3]] [[3/6 ->Wrong3.1]] ] (else-if: $cookies3w2 is false and $cookies3w1 is true)[ [[1/3 ->Right3]] [[2/6 ->Right3]] [[3/6 ->Wrong3.1]] ] (else-if: $cookies3w2 is true and $cookies3w1 is false)[ [[2/3 ->Wrong3]] [[1/3 ->Right3]] [[2/6 ->Right3]] ] (else:)[ [[1/3 ->Right3]] [[2/6 ->Right3]] ]

Good try! If the fraction was 2/4, that would mean that half of the cookies are red berry. However there are more red berry cookies than purple berry cookies, meaning that the fraction is greater than 2/4. (set: $cookies2w2 to true) [[Try again -> Cookies2]]

Good try! If the fraction was 1/3, that would mean that less than half of the cookies are red berry. However there are more red berry cookies than purple berry cookies, meaning that the fraction is greater than 1/3. (set: $cookies2w1 to true) [[Try again -> Cookies2]]

Good try! If the fraction was 2/3, that would mean that there would be more purple berry cookies than red. However there are more red berry cookies than purple berry cookies, meaning that the fraction is less than 2/3. (set: $cookies3w1 to true) [[Try again ->Right2]]

Good job! 2/6 (also known as 1/3) of the cookies are purple berry cookies! After packing up the cookies, it is time to start on a new order. (set: $cakew1 to false) (set: $cakew2 to false) [[Next order ->Cake]]

Good try! If the fraction was 3/6, that would mean that there would be an equal amount of red berry and purple berry cookies. However there are more red berry cookies than purple berry cookies, meaning that the fraction is less than 3/6. (set: $cookies3w2 to true) [[Try again ->Right2]]

The next order is for a customer who wants a mud cake for their child’s birthday party, with 8 slices and two of the toppings offered at the bakery. <img src="mpb2.jpg" width="256" height="256"> On ¼ of the cake they want mint leaves, and on ½ the cake they want nuts. (set: $wrong5 to false) (set: $wrong51 to false) How many slices have nothing on them? (if: $cakew1 is false and $cakew2 is false)[ [[4 slices ->Wrong4]] [[3 slices ->Wrong4.1]] [[2 slices ->Right4]] ] (else-if: $cakew1 is false and $cakew2 is true)[ [[3 slices ->Wrong4.1]] [[2 slices ->Right4]] ] (else-if: $cakew1 is true and $cakew2 is false)[ [[4 slices ->Wrong4]] [[2 slices ->Right4]] ] (else:)[ [[2 slices ->Right4]] ]

Good job! There are 2 slices that do not have any toppings on them! <img src="mpb3.jpg" width="256" height="256"> If the cake has 2 slices with no toppings on them, what fraction of the cake does not have any toppings on it? (if: $wrong5 is false and $wrong51 is false)[ [[3/8 ->Wrong5]] [[2/4 ->Wrong5.1]] [[1/4 ->Right5]] [[2/8 ->Right5]] ] (else-if: $wrong5 is false and $wrong51 is true)[ [[3/8 ->Wrong5]] [[1/4 ->Right5]] [[2/8 ->Right5]] ] (else-if: $wrong5 is true and $wrong51 is false)[ [[2/4 ->Wrong5.1]] [[1/4 ->Right5]] [[2/8 ->Right5]] ] (else:)[ [[1/4 ->Right5]] [[2/8 ->Right5]] ]

Good try! To figure out how many slices don't have anything on them, first add up how many slices do have something on them. There are 4 slices with nuts and 2 with mint leaves. If you add those together, how many slices remain empty? (set: $cakew1 to true) [[Try again ->Cake]]

Good job! 2/8 (also known as 1/4) of the cake has no toppings! After packaging up the cake,, it is time to start on a new order. (set: $wrong6 to false) (set: $wrong61 to false) [[Next order ->Pies]]

Good try! Remember that the cake has 8 slices and only ''2'' of them do not have anything on them. (set: $wrong5 to true) [[Try again ->Right4]]

Good try! If 2/4 of the cake did not have anything on them that would mean that half of the slices had no toppings. Remember that only ''2'' slices did not have toppings. (set: $wrong51 to true) [[Try again ->Right4]]

The final order for today is the biggest one yet! You are preparing pies for a special banquet with people who each want 3 slices of mud pie. Instead of cutting it into an even amount of slices, they want the pies cut in 7 slices for good luck. <img src="mpb5.jpg" width="256" height="200"> Let's start with 1 pie. If each person wants 3 slices, how many people can 1 pie feed? (set: $wrong7 to false) (set: $wrong71 to false) (if: $wrong6 is false and $wrong61 is false)[ [[2 people ->Right6]] [[3 people ->Wrong6]] [[1 person ->Wrong 6.1]] ] (else-if: $wrong6 is false and $wrong61 is true)[ [[2 people ->Right6]] [[3 people ->Wrong6]] ] (else-if: $wrong6 is true and $wrong61 is false)[ [[2 people ->Right6]] [[1 person ->Wrong 6.1]] ] (else:)[ [[2 people ->Right6]] ]

Good job! 1 pie can feed 2 people, leaving 1 slice leftover. <img src="mpb6.jpg" width="300" height="144"> If 1 pie can feed 2 people, how many pies are needed to feed 11 people 3 slices each? (set: $wrong8 to false) (set: $wrong81 to false) (if: $wrong7 is false and $wrong71 is false)[ [[6 pies ->Wrong7]] [[5 pies ->Right7]] [[4 pies ->Wrong 7.1]] ] (else-if: $wrong7 is false and $wrong71 is true)[ [[6 pies ->Wrong7]] [[5 pies ->Right7]] ] (else-if: $wrong7 is true and $wrong71 is false)[ [[5 pies ->Right7]] [[4 pies ->Wrong 7.1]] ] (else:)[ [[5 pies ->Right7]] ]

Good try! Remember that the pie has 7 slices. If 1 person wants 3 slices, that leaves 4 slices remaining. How many people can be fed by those 4 slices? (set: $wrong6 to true) [[Try again ->Pies]]

Good try! Remember that the pie has 7 slices. If 1 person wants 3 slices, that leaves 4 slices remaining. How many people can be fed by those 4 slices? (set: $wrong61 to true) [[Try again ->Pies]]

Good job! Since 1 pie can feed 2 people, we can divide 10 by 2 to get 5 pies. The 11th person can receive a leftover slice from 3 of the 5 pies to get their required 3 slices. <img src="mpb7.jpg" width="900" height="270"> Are there any slices left over? If so, how many slices are left over? (if: $wrong8 is false and $wrong81 is false)[ [[No slices left over ->Wrong8]] [[1 slice left over ->Wrong8.1]] [[2 slices left over ->Right8]] ] (else-if: $wrong8 is false and $wrong81 is true)[ [[No slices left over ->Wrong8]] [[2 slices left over ->Right8]] ] (else-if: $wrong8 is true and $wrong81 is false)[ [[1 slice left over ->Wrong8.1]] [[2 slices left over ->Right8]] ] (else:)[ [[2 slices left over ->Right8]] ]

Good try! Remember that each pie will have 1 slice left over, which can be given to another guest if needed. (set: $wrong71 to true) [[Try again ->Right6]]

Good try! Remember that each pie will have 1 slice left over, which can be given to another guest if needed. (set: $wrong7 to true) [[Try again ->Right6]]

Good try! Remember that each of the 5 pies will have 1 slice left over. 3 of those slices are given to the 11th guest. (set: $wrong8 to true) [[Try again ->Right7]]

Good job! Since each of the 5 pies has 1 leftover slice, and 3 of those slices are given to the 11th guest, there are 2 slices left over! <img src="mpb8.jpg" width="900" height="400"> After packaging up the pies it's time to clean up for the day. [[End day ->End Day]]

Good try! Remember that each of the 5 pies will have 1 slice left over. 3 of those slices are given to the 11th guest. (set: $wrong81 to true) [[Try again ->Right7]]

As you finish cleaning up after a long day of hard work, you receive 3 messages. Each of your previous clients have sent you thank you messages for the orders that you made for them, saying that they really enjoyed their desserts! You are glad you understood how fractions worked with these orders to make them successful! Feel free to answer the following reflection questions to further explore your learnings from today. 1. What was something you learned? 2. What was your favourite part of today’s activities? 3. Was it easier to solve the questions by drawing pictures or using numbers? 4. When do you think you would use fractions in your life, either at home, at school, or other places? 5. How do you think your parents use fractions in their life? 6. We saw today that fractions can be used in bakeries, what are some other jobs that might use fractions? Thank you for playing! If you want to replay the game click here: [[replay ->Intro]]

A fraction represents how numbers can be split up. They are made up of a numerator, the number on the top, and a denominator, the number on the bottom. A line seperates the numerator and denominator, to represent the split between the number. For example, if you have 3 cookies and you eat 2 of them that means that you ate 2/3 of the cookies! In this scenario the numerator is the 2 cookies you ate, and the denominator is the 3 cookies you originally had. You can also add and subtract fractions, just like regular numbers! If you want to figure out how many cookies are left over, you can subtract the 2/3 that you ate from the original whole number, which can be written as 3/3. 3/3 - 2/3 = 1/3 of the cookies are left over! Now that you've completed a refresher on fractions, it's time to start working on today's orders! [[Begin Orders -> Cookies]]