Fishy Fun

You work at an aquarium, which is like a zoo for fish and other water animals. Your responsibilities include creating and preparing tanks, feeding the animals the proper ratios of food, and watching over them while you raise them to make sure they’re okay. Before you begin, you can get a small refresher on fractions. [[Refresher ->Refresh]] Or you can go straight to work! [[Start now ->Tank]] (set: $wrong1 to false) (set: $wrong11 to false)

Today you are receiving a new shipment of aquatic animals. Before you can begin taking care of the animals, you must prepare their tank. Since these animals need specific type of water, you must mix together the correct ratio of filtered water to tap water. For every 5 cups of filtered water, there must be 1 cup of tap water. If there are 20 cups of filtered water in the tank, how many cups of tap water are there? (set:$wrong2 to false) (set:$wrong21 to false) (if: $wrong1 is false and $wrong11 is false)[ [[5 cups ->Wrong1]] [[4 cups ->Right1]] [[3 cups ->Wrong1.1]] ] (else-if: $wrong1 is false and $wrong11 is true)[ [[5 cups ->Wrong1]] [[4 cups ->Right1]] ] (else-if: $wrong1 is true and $wrong11 is false)[ [[4 cups ->Right1]] [[3 cups ->Wrong1.1]] ] (else-if: $wrong1 is true and $wrong11 is true)[ [[4 cups ->Right1]] ]

Good try! Remember that for every ''5'' cups of filtered water there is only ''1'' cup of tap water. //Hint: divide 20 by 5 to determine how many cups of tap water there should be. // (set:$wrong1 to true) [[Try again ->Tank]]

Good job! By dividing the 20 cups of filtered water by 5, it can be determined that 4 cups of tap water are needed. If there are 20 cups of filtered water to 4 cups of tap water, what is the ratio of filtered water to tap water? (if: $wrong2 is false and $wrong21 is false)[ [[20:4 ->Right2]] [[20:5 ->Wrong2]] [[5:4 ->Wrong2.1]] [[5:1 ->Right2]] ] (else-if: $wrong2 is false and $wrong21 is true)[ [[20:4 ->Right2]] [[20:5 ->Wrong2]] [[5:1 ->Right2]] ] (else-if: $wrong2 is true and $wrong21 is false)[ [[20:4 ->Right2]] [[5:4 ->Wrong2.1]] [[5:1 ->Right2]] ] (else-if: $wrong2 is true and $wrong21 is true)[ [[20:4 ->Right2]] [[5:1 ->Right2]] ] (set: $wrong3 to false) (set: $wrong31 to false)

Good job! Ratios can be reduced just like fractions, where you can divide both sides of the ratio by the same number. In this case, a ratio of 20:4 is the same as a ratio of 5:1, because you can divide both sides by 4. Now that the tank is ready, the animals can be placed into their new home. The new animals include goldfish, neon tetras fish, and ghost shrimp. For every 2 goldfish, there are 3 ghost shrimp. <img src="ff1.jpg" width="256" height="200"> What is the ratio of goldfish to ghost shrimp? (if: $wrong3 is false and $wrong31 is false)[ [[2:3 ->Right3]] [[3:2 ->Wrong3]] [[3:3 ->Wrong3.1]] ] (else-if: $wrong3 is false and $wrong31 is true)[ [[2:3 ->Right3]] [[3:2 ->Wrong3]] ] (else-if: $wrong3 is true and $wrong31 is false)[ [[2:3 ->Right3]] [[3:3 ->Wrong3.1]] ] (else-if: $wrong3 is true and $wrong31 is true)[ [[2:3 ->Right3]] ] (set: $wrong4 to false) (set: $wrong41 to false)

Good try! Remember that for 20 cups of filtered water there are 4 cups of tap water. (set: $wrong2 to true) [[Try again ->Right1]]

Good try! Remember that for every 5 cups of filtered water there is 1 cup of tap water. (set: $wrong21 to true) [[Try again ->Right1]]

Good job! There is a 2:3 ratio of goldfish to ghost shrimp. <img src="ff2.jpg" width="400" height="140"> If there are 6 goldfish in total, how many ghost shrimp are there? (if: $wrong4 is false and $wrong41 is false)[ [[6 ghost shrimp ->Wrong4]] [[8 ghost shrimp ->Wrong4.1]] [[9 ghost shrimp ->Right4]] ] (else-if: $wrong4 is false and $wrong41 is true)[ [[6 ghost shrimp ->Wrong4]] [[9 ghost shrimp ->Right4]] ] (else-if: $wrong4 is true and $wrong41 is false)[ [[8 ghost shrimp ->Wrong4.1]] [[9 ghost shrimp ->Right4]] ] (else-if: $wrong4 is true and $wrong41 is true)[ [[9 ghost shrimp ->Right4]] ] (set:$wrong5 to false) (set: $wrong51 to false)

Good try! It is the ratio of goldfish to ghost shrimp, not ghost shrimp to goldfish, meaning that the number of goldfish should be the first number. [[Try again ->Right2]] (set: $wrong3 to true)

Good try! There is not an equal amount of goldfish and ghost shrimp. [[Try again ->Right2]] (set: $wrong31 to true)

Good try! Remember that for every 2 goldfish there are 3 ghost shrimp, which means that the number of goldfish and ghost shrimp cannot be equal. [[Try again ->Right3]] (set: $wrong4 to true)

Good try! Remember that for every 2 goldfish there are 3 ghost shrimp, which means that the number of goldfish and ghost shrimp cannot be equal. [[Try again ->Right3]] (set: $wrong41 to true)

Good job! There are 9 ghost shrimp when there are 6 goldfish in the tank! As well, there are 8 neon tetras in the tank. <img src="ff3.jpg" width="400" height="140"> What is the ratio of goldfish to ghost shrimp to neon tetras? (if: $wrong5 is false and $wrong51 is false)[ [[2:3:8 ->Wrong5]] [[6:9:8 ->Right5]] [[9:6:8 ->Wrong5.1]] ] (else-if: $wrong5 is false and $wrong51 is true)[ [[2:3:8 ->Wrong5]] [[6:9:8 ->Right5]] ] (else-if: $wrong5 is true and $wrong51 is false)[ [[6:9:8 ->Right5]] [[9:6:8 ->Wrong5.1]] ] (else-if: $wrong5 is true and $wrong51 is true)[ [[6:9:8 ->Right5]] ] (set:$wrong6 to false) (set: $wrong61 to false)

Good try! Remember that you are comparing the 6 goldfish with the 9 ghost shrimp and 8 neon tetras. (set:$wrong5 to true) [[Try again->Right4]]

Good job! The ratio of goldfish to ghost shrimp to neon tetras is 6:9:8! It;s time for them to eat! We are going to focus on the goldfish and neon tetras for now. The goldfish eat fish flakes and pellets, while the neon tetras only eat fish flakes. <img src="ff4.jpg" width="400" height="200"> If each goldfish eats 1 tsp of fish flakes and 1 tsp of pellets a day, and the neon tetras eat 2tsp of fish flakes a day, what is the ratio of total fish flakes to pellets in the tank? (if: $wrong6 is false and $wrong61 is false)[ [[22:6 ->Right6]] [[22:22 ->Wrong6]] [[6:6 ->Wrong6.1]] ] (else-if: $wrong6 is false and $wrong61 is true)[ [[22:6 ->Right6]] [[22:22 ->Wrong6]] ] (else-if: $wrong6 is true and $wrong61 is false)[ [[22:6 ->Right6]] [[6:6 ->Wrong6.1]] ] (else-if: $wrong6 is true and $wrong61 is true)[ [[22:6 ->Right6]] ] (set:$wrong7 to false)

Good try! Remember that you are comparing the goldfish with the ghost shrimp and the neon tetras. Order is important in ratios! (set:$wrong51 to true) [[Try again->Right4]]

Good try! To figure this out you first need to figure out how much food all the fish need. (set:$wrong6 to true) [[Try again ->Right5]]

Good try! To figure this out you first need to figure out how much food all the fish need. (set:$wrong61 to true) [[Try again ->Right5]]

Good job! The ratio of fish flakes to pellets in the tank each day is 22:6! Now it's time to check on the frogs and lizards and make sure that they are being raised comfortabley in their living enclosures. You head into the next section of the aquarium. This is where all the lizards, frogs, snakes, and toads live. In the middle of the room, there are two large tanks that are side by side. In both tanks there are a mix of frogs and lizards. The normal frog to lizard ratio in tank A is 3:1. The normal frog to lizard ratio in tank B is 5:2. When you look into tank A there are 9 frogs and 2 lizards. When you look into tank B there are 10 frogs and 5 lizards. <img src="ff5.jpg" width="400" height="220"> Does this match the correct ratio? (if: $wrong7 is false)[ [[No ->Right7]] [[Yes ->Wrong7]] ] (else:)[ [[No->Right7]] ] (set:$wrong8 to false) (set:$wrong81 to false)

Good job! This is not the correct ratio. There current ratio for tank A is 9:2, and for tank B it is 10:5. If the correct ratio for tank A is 3:1, and for tank B it's 5:2, what animal(s) do you need to move to create the correct ratio? (if: $wrong8 is false and $wrong81 is false)[ [[Move a lizard from tank B to tank A ->Right8]] [[Move a lizard from tank A to tank B ->Wrong8]] [[Move a frog from tank B to tank A->Wrong8.1]] ] (else-if: $wrong8 is false and $wrong81 is true)[ [[Move a lizard from tank B to tank A ->Right8]] [[Move a lizard from tank A to tank B ->Wrong8]] ] (else-if: $wrong8 is true and $wrong81 is false)[ [[Move a lizard from tank B to tank A ->Right8]] [[Move a frog from tank B to tank A->Wrong8.1]] ] (else-if: $wrong8 is true and $wrong81 is true)[ [[Move a lizard from tank B to tank A ->Right8]] ] (set:$wrong9 to false)

Good try! Remember that the normal frog to lizard ratio in tank A is 3:1, and the normal frog to lizard ratio in tank B is 5:2. [[Try again->Right6]] (set:$wrong7 to true)

Good job! By moving a lizard from tank B to tank A, the ratios are correct again. After moving the frogs and lizards back to their correct tanks, you give them their food and leave for the night. The next day you check and see 5 frogs and 2 lizards in tank B. Knowing that this is following the correct ratio for tank B, you move on and check tank A. There are 14 frogs and 5 lizards in tank A. <img src="ff6.jpg" width="400" height="220"> Is this the correct ratio? (if: $wrong9 is false)[ [[Yes ->Wrong9]] [[No ->Right9]] ] (else:)[ [[No->Right9]] ] (set:$wrong10 to false) (set:$wrong101 to false)

Good try! The lizard ratio is wrong, but take another look at the ratios in each tank and compare them to the proper ratios. [[Try again->Right7]] (set:$wrong8 to true)

Good try! The frog ratio in both tanks is correct, so you don't need to move any of the frogs. Take another look at the ratios in each tank and compare them to the proper ratios. [[Try again->Right7]] (set:$wrong81 to true)

Good job! That is not the correct ratio for tank A. The current ratio for tank A is 14:5, and for tank B its 5:2. If the correct ratio for tank A is 3:1, and for tank B it's 5:2, what animal(s) do you need to move to create the correct ratio? (if: $wrong10 is false and $wrong101 is false)[ [[Move 2 frogs and 5 lizards to tank B ->Wrong10]] [[Move 5 frogs and 2 lizards to tank B ->Right10]] [[Move 2 frogs and 5 lizards to tank A ->Wrong10.1]] ] (else-if: $wrong10 is false and $wrong101 is true)[ [[Move 2 frogs and 5 lizards to tank B ->Wrong10]] [[Move 5 frogs and 2 lizards to tank B ->Right10]] ] (else-if: $wrong10 is true and $wrong101 is false)[ [[Move 5 frogs and 2 lizards to tank B ->Right10]] [[Move 2 frogs and 5 lizards to tank A ->Wrong10.1]] ] (else-if: $wrong10 is true and $wrong101 is true)[ [[Move 5 frogs and 2 lizards to tank B ->Right10]] ] (set:$wrong11 to false) (set:$wrong111 to false)

Good try! Remember that the normal frog to lizard ratio in tank A is 3:1. [[Try again ->Right8]] (set:$wrong9 to true)

Good try! Take a look at the correct ratios and compare them with the current ratios. If you move all 5 lizards from tank A to tank B, the ratio will not be correct since there would be no lizards in tank A! [[Try again ->Right9]] (set:$wrong10 to true)

Good job! By moving 5 frogs and 2 lizards from tank A to tank B, you have corrected the ratios again! It's time to move on to some colourful fish! You just received some new colorful fish to raise! You record the number of fish and place them in the tank. There are 2 blue fish and 3 red fish. <img src="ff7.jpg" width="400" height="220"> What is the current ratio of blue fish to red fish? (if: $wrong11 is false and $wrong111 is false)[ [[3:2 ->Wrong11]] [[3:3 ->Wrong11.1]] [[2:3 ->Right11]] ] (else-if: $wrong11 is false and $wrong111 is true)[ [[3:2 ->Wrong11]] [[2:3 ->Right11]] ] (else-if: $wrong11 is true and $wrong111 is false)[ [[3:3 ->Wrong11.1]] [[2:3 ->Right11]] ] (else-if: $wrong11 is true and $wrong111 is true)[ [[2:3 ->Right11]] ] (set:$wrong12 to false) (set:$wrong121 to false)

Good try! Tank A does not need more animals, as it will just keep the ratio in an incorrect state. Instead, some animals need to be moved to tank B. [[Try again ->Right9]] (set:$wrong101 to true)

Good try! The order of a ratio matters! Make sure that the number of blue fish goes before the colon, and the number of red fish goes after. [[Try again ->Right10]] (set:$wrong11 to true)

Good try! Since there are 2 blue fish and 3 red fish, the ratio will not be even. [[Try again ->Right10]] (set:$wrong111 to true)

Good job! The current ratio of blue to red fish is 2:3. After setting up their tank and feeding them you head home. When you come in the next day and take a look in your tank, to your surprise the number of fish has increased! It appears that the fish have had some babies! There are now an additional 6 blue fish and 8 red fish. <img src="ff8.jpg" width="400" height="220"> While you are happy about the new additions, you realize that this tank is a little too small for all these fish. You send out an order for a second tank, set to arrive tomorrow. Before the tank arrives, you must figure out how to split up the fish. Each tank should have a mix of blue and red fish, however they must at minimum follow the original 2:3 ratio of blue fish to red fish. This is because if there are too many red fish compared to blue fish, the red fish can get a bit angry and start fights. However, if there are no blue fish in with the red fish the ecosystem will not survive. That is why you must follow the specific minimum ratio. As well, you need to keep in mind that since the baby fish are smaller than the adult fish, they only count as half an adult fish. Let’s start with the adult fish. Each tank must have at least 1 adult fish of each color. How would you split up the fish between the two tanks? (if: $wrong12 is false and $wrong121 is false)[ [[1:2 and 1:1 ->Right12]] [[1:1 and 1:1 ->Wrong12]] [[2:2 and 0:1 ->Wrong12.1]] ] (else-if: $wrong12 is false and $wrong121 is true)[ [[1:2 and 1:1 ->Right12]] [[1:1 and 1:1 ->Wrong12]] ] (else-if: $wrong12 is true and $wrong121 is false)[ [[1:2 and 1:1 ->Right12]] [[2:2 and 0:1 ->Wrong12.1]] ] (else-if: $wrong12 is true and $wrong121 is true)[ [[1:2 and 1:1 ->Right12]] ] (set:$wrong13 to false) (set:$wrong131 to false)

Good job! In tank 1 there will be a 1:2 ratio of adult blue to red fish, and in tank 2 there will be a 1:1 ratio of adult blue to red fish. <img src="ff9.jpg" width="400" height="150"> Now that you have determined where the adult fish are going, you need to figure out how to split up the baby fish. When you checked earlier there were an additional 6 blue fish and 8 red fish, which are the babies. What is the current blue baby fish to red baby fish ratio? (if: $wrong13 is false and $wrong131 is false)[ [[8:6 ->Wrong13]] [[8:8 ->Wrong13.1]] [[6:8 ->Right13]] ] (else-if: $wrong13 is false and $wrong131 is true)[ [[8:6 ->Wrong13]] [[6:8 ->Right13]] ] (else-if: $wrong13 is true and $wrong131 is false)[ [[8:8 ->Wrong13.1]] [[6:8 ->Right13]] ] (else-if: $wrong13 is true and $wrong131 is true)[ [[6:8 ->Right13]] ] (set:$wrong14 to false) (set:$wrong141 to false)

Good try! Remember that there are 2 blue adult fish and 3 red adult fish. [[Try again ->Right11]] (set:$wrong121 to true)

Good try! Remember that there has to be at least 1 adult fish of EACH COLOUR in each tank. [[Try again ->Right11]] (set:$wrong121 to true)

Good try! Remember that the order of a ratio matters! The number of blue baby fish goes before the colon and the number of red baby fish goes after the colon. [[Try again ->Right12]] (set:$wrong13 to true)

Good try! Remember that there are 6 blue baby fish and 8 red baby fish. [[Try again ->Right12]] (set:$wrong131 to true)

Good job! The current ratio of blue baby fish to red baby fish is 6:8! You need to split up the baby fish between the two tanks, but must keep in mind that the minimum ratio of blue fish to red fish must be 2:3. Remember that the current ratio of adult blue fish to adult red fish in tank 1 is 1:2, and the ratio of adult blue fish to adult red fish in tank 2 is 1:1. Since each baby fish only counts as half of an adult fish, how can you split them between the tanks? (if: $wrong14 is false and $wrong141 is false)[ [[Tank 1- 2:2, Tank 2- 4:6 ->Right14]] [[Tank 1- 3:6, Tank 2- 2:3 ->Wrong14]] [[Tank 1- 6:4, Tank 2- 2:1 ->Wrong14.1]] ] (else-if: $wrong14 is false and $wrong141 is true)[ [[Tank 1- 2:2, Tank 2- 4:6 ->Right14]] [[Tank 1- 3:6, Tank 2- 2:3 ->Wrong14]] ] (else-if: $wrong14 is true and $wrong141 is false)[ [[Tank 1- 2:2, Tank 2- 4:6 ->Right14]] [[Tank 1- 6:4, Tank 2- 2:1 ->Wrong14.1]] ] (else-if: $wrong14 is true and $wrong141 is true)[ [[Tank 1- 2:2, Tank 2- 4:6 ->Right14]] ] (set:$wrong15 to false) (set:$wrong151 to false)

Good job! In tank 1 the ratio of baby blue fish to red fish is 2:2, and in tank 2 its 4:6. <img src="ff10.jpg" width="400" height="150"> Feeling satisfied that you know how to split up the fish tomorrow, you leave work. The next day when you come in, the second tank has arrived. But before you can begin to separate the fish into the two tanks, you get news that you will be receiving a few more adult fish this afternoon that also must be placed in the tanks. If you are planning to receive 5 more adult blue fish and 7 more adult red fish, how can you split all the new fish between the two tanks while keeping the minimum ratio of 2:3 blue to red fish? (if: $wrong15 is false and $wrong151 is false)[ [[Tank 1- add 3 blue and 2 red, Tank 2- add 2 blue and 5 red ->Wrong15]] [[Tank 1- add 1 blue and 3 red, Tank 2- add 4 blue and 4 red ->Wrong15.1]] [[Tank 1- add 2 blue and 3 red, Tank 2- add 3 blue and 4 red ->Right15]] ] (else-if: $wrong15 is false and $wrong151 is true)[ [[Tank 1- add 3 blue and 2 red, Tank 2- add 2 blue and 5 red ->Wrong15]] [[Tank 1- add 2 blue and 3 red, Tank 2- add 3 blue and 4 red ->Right15]] ] (else-if: $wrong15 is true and $wrong151 is false)[ [[Tank 1- add 1 blue and 3 red, Tank 2- add 4 blue and 4 red ->Wrong15.1]] [[Tank 1- add 2 blue and 3 red, Tank 2- add 3 blue and 4 red ->Right15]] ] (else-if: $wrong15 is true and $wrong151 is true)[ [[Tank 1- add 2 blue and 3 red, Tank 2- add 3 blue and 4 red ->Right15]] ]

Good try! There are a few ways you can try to solve this! You can convert the amount of baby fish so that they represent adult fish by dividing each side of the ratio by 2. Then using the newfound adult ratio of baby fish you can start by figuring out how to make the 2:3 ratio in one tank , then see if the leftover baby fish make the correct ratio in the other tank. Or you can add the baby fish as they are (half an adult fish). Start by adding the halves to make a 2:3 ratio in one tank, and then see if the leftover baby fish make the minimum ratio or higher in the other tank. [[Try again ->Right13]] (set:$wrong14 to true)

Good try! You are adding the new adult fish onto the ratios you created previously from the baby and adult fish. Remember that the fish must have a minimum of a 2:3 adult blue fish to adult red fish ratio. [[Try again->Right14]] (set:$wrong15 to true)

Good job! By adding 2 blue fish and 3 red fish to tank 1, and 3 blue fish and 4 red fish to tank 2, you have split the fish in a way that maintains the minimum 2:3 ratio! Since you were able to split up all the fish properly there aren’t too many red fish in one tank, meaning that no fights will break out between the fish. <img src="ff11.jpg" width="400" height="350"> [[End the day ->End]]

After a long week of hard work, you walk around the different areas of the aquarium to observe what you have accomplished. The fish and other animals seem very happy with their tanks, and appear to be very well fed. As well, you notice that some of the visitors at the aquarium are looking around at the different fish and animals, taking an interest in their pretty colors and tank designs. One of the visitors comes up to you and mentions how cool it is that you get to work with these fish and animals all day. After thanking them, you say that you couldn’t have done it without ratios and your excellent problem solving skills. You are glad that you understood how much food to feed each animal, as well as how many fish and animals should be in each tank. 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 favorite 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 ratios in your life, either at home, at school, or other places? 5. How do you think your parents use ratios in their life? 6. We saw today that ratios can be used in aquariums, what are some other jobs that might use ratios? 7. Why do you think ratios specifically were used to keep track of the food to feed each animal? What could be an alternative? Thank you for playing! If you want to replay the game click here: [[replay ->Intro]]

A ratio is the comparison between two number values. When writing a fraction, a colon goes in between these two number values. For example, if you are comparing 1 teacher to 2 students, the ratio is 1 colon 2 which looks like this: 1:2. We can reduce a ratio just like we reduce a fraction, where you can divide both sides of the ratio by the same number. For example if you have a 4:2 ratio of students to teachers, you can divide both sides by two, which gives you a 2:1 ratio of students! Now that you've completed a refresher on ratios, it's time to start working with the fish! [[Start work->Tank]]