Set Detectives

{
  "finish": "Excellent detective work. You formed sets, described them and compared their elements.",
  "steps": [
    {
      "question": "Kato collects three coloured counters. How many elements are in set A?",
      "card": "A = {red, blue, green}",
      "choices": ["2", "3", "4"],
      "answer": 1,
      "good": "Correct. Set A has 3 elements.",
      "help": "Count each item inside the curly brackets."
    },
    {
      "question": "Which words best describe this set?",
      "card": "B = {2, 4, 6, 8}",
      "choices": ["odd numbers less than 10", "even numbers less than 10", "numbers greater than 10"],
      "answer": 1,
      "good": "Yes. B is the set of even numbers less than 10.",
      "help": "All the numbers can be divided into two equal groups."
    },
    {
      "question": "Which is the correct way to show a set of fruits?",
      "card": "Choose the set notation.",
      "choices": ["{mango, banana, orange}", "mango + banana + orange", "mango, banana, orange ="],
      "answer": 0,
      "good": "Correct. We use curly brackets to show the members of a set.",
      "help": "Sets are usually written inside curly brackets: { }."
    },
    {
      "question": "What do we call a set with no elements?",
      "card": "C = { }",
      "choices": ["a full set", "an empty or null set", "an equal set"],
      "answer": 1,
      "good": "Correct. A set with no members is called an empty or null set.",
      "help": "Look inside the brackets. Are there any members?"
    },
    {
      "question": "Are these two sets equal?",
      "card": "D = {1, 2, 3}     E = {3, 2, 1}",
      "choices": ["Yes, they have the same elements", "No, the order is different", "No, one set is bigger"],
      "answer": 0,
      "good": "Correct. The order does not matter. Both sets contain 1, 2 and 3.",
      "help": "Compare the members, not the order they were written."
    },
    {
      "question": "Are these two sets equivalent?",
      "card": "F = {mango, orange, banana}     G = {chair, table, desk}",
      "choices": ["Yes, both sets have 3 elements", "No, the objects are different", "No, they are empty"],
      "answer": 0,
      "good": "Yes. Equivalent sets have the same number of elements.",
      "help": "Count the members in each set."
    },
    {
      "question": "Which pair of sets is not equivalent?",
      "card": "Compare the number of elements.",
      "choices": ["{pen, ruler} and {cat, dog}", "{1, 2, 3} and {red, blue}", "{a, b, c} and {4, 5, 6}"],
      "answer": 1,
      "good": "Correct. One set has 3 elements and the other has 2.",
      "help": "Equivalent sets must have the same number of members."
    },
    {
      "question": "Which statement is true?",
      "card": "H = {5, 10, 15, 20}",
      "choices": ["H has 3 elements", "10 belongs to H", "25 belongs to H"],
      "answer": 1,
      "good": "Correct. 10 is one of the members of set H.",
      "help": "Look carefully at every number inside the brackets."
    },
    {
      "question": "Mia makes a set of classroom objects. Which object belongs in her set?",
      "card": "Classroom objects",
      "choices": ["desk", "fish", "banana"],
      "answer": 0,
      "good": "Correct. A desk is a classroom object.",
      "help": "Think about what you would find inside a classroom."
    },
    {
      "question": "How many elements are in set J?",
      "card": "J = {Monday, Tuesday, Wednesday, Thursday, Friday}",
      "choices": ["4", "5", "7"],
      "answer": 1,
      "good": "Correct. There are 5 school-day names in the set.",
      "help": "Count each day in the brackets once."
    },
    {
      "question": "Which set is equal to K?",
      "card": "K = {a, e, i}",
      "choices": ["{i, a, e}", "{a, e}", "{a, e, i, o}"],
      "answer": 0,
      "good": "Excellent. Both sets have exactly the same elements.",
      "help": "Equal sets contain the same members, even when the order changes."
    },
    {
      "question": "Independent check: Which set has no elements?",
      "card": "Choose the empty set.",
      "choices": ["{0}", "{ }", "{apple}"],
      "answer": 1,
      "good": "Correct. The empty brackets show an empty or null set.",
      "help": "Try to decide before looking for help."
    },
    {
      "question": "Independent check: Describe this set.",
      "card": "L = {Saturday, Sunday}",
      "choices": ["the days of the weekend", "the school days", "the months of the year"],
      "answer": 0,
      "good": "Correct. Saturday and Sunday are the weekend days.",
      "help": "Think about when school is usually closed."
    },
    {
      "question": "Independent check: Are these sets equivalent?",
      "card": "M = {1, 2, 3, 4}     N = {pen, book, ruler, bag}",
      "choices": ["Yes", "No", "They are empty"],
      "answer": 0,
      "good": "Yes. Both sets have 4 elements.",
      "help": "Count the members in each set."
    },
    {
      "question": "Independent check: Which set correctly shows the vowels in the word MANGO?",
      "card": "MANGO",
      "choices": ["{M, N, G}", "{A, O}", "{A, N, O}"],
      "answer": 1,
      "good": "Brilliant. The vowels in MANGO are A and O.",
      "help": "Vowels are a, e, i, o and u."
    }
  ]
}