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Two things at once: 7th grade math

Compound events: lists, tables, tree diagrams, simulation. A free 7th grade lesson plan, a question set with answers and a printable sheet with its key. Copy it and make it yours.

Lesson plan

Goal

  • Students can do this: compound events: lists, tables, tree diagrams, simulation.

Teach (10 min)

  • List every outcome of both steps. Two flips: HH, HT, TH, TT. P(two heads) = 1/4.
  • A coin and a 6-sided die have 12 outcomes. P(heads and a 5) = 1/12.
  • Work one example on the board while students say each step aloud, then do one together.

Practise (15 min)

  • Students work the printable sheet in pairs, then alone.
  • Or practise it as a game with no sign-up: https://peabody.kids/math/chance.compound?lesson=7-chance-compound-1&at=7

Exit ticket (5 min)

  • Three questions on a slip:
  • 1. A fair coin is flipped twice. What is the probability of getting two heads? (Any fraction with the right value counts, so you do not have to reduce it.)
  • 2. A fair coin is flipped twice. What is the probability of getting at least one head? (Any fraction with the right value counts, so you do not have to reduce it.)
  • 3. A fair coin is flipped twice. What is the probability of getting heads on the first flip and tails on the second flip? (Any fraction with the right value counts, so you do not have to reduce it.)

Question set

10 questions that read in words, easiest first. Questions that need a picture are on the printable sheet below.

  1. A fair coin is flipped twice. What is the probability of getting two heads? (Any fraction with the right value counts, so you do not have to reduce it.)
  2. A fair coin is flipped twice. What is the probability of getting at least one head? (Any fraction with the right value counts, so you do not have to reduce it.)
  3. A fair coin is flipped twice. What is the probability of getting heads on the first flip and tails on the second flip? (Any fraction with the right value counts, so you do not have to reduce it.)
  4. A fair coin is flipped twice. What is the probability of getting two tails? (Any fraction with the right value counts, so you do not have to reduce it.)
  5. A fair coin is flipped twice. What is the probability of getting exactly one head? (Any fraction with the right value counts, so you do not have to reduce it.)
  6. A fair coin is flipped twice. What is the probability of getting heads on the first flip and tails on the second flip? (Any fraction with the right value counts, so you do not have to reduce it.)
  7. A fair coin is flipped twice. What is the probability of getting exactly one head? (Any fraction with the right value counts, so you do not have to reduce it.)
  8. A fair coin is flipped twice. What is the probability of getting at least one head? (Any fraction with the right value counts, so you do not have to reduce it.)
  9. A fair coin is flipped twice. What is the probability of getting exactly one head? (Any fraction with the right value counts, so you do not have to reduce it.)
  10. A fair coin is flipped twice. What is the probability of getting at least one head? (Any fraction with the right value counts, so you do not have to reduce it.)
Answers
  1. 1/4
  2. 3/4
  3. 1/4
  4. 1/4
  5. 1/2
  6. 1/4
  7. 1/2
  8. 3/4
  9. 1/2
  10. 3/4

Printable sheet

Name: ____________________   Date: ____________

Two things at once (7th grade)

  1. A fair coin is flipped and a fair six-sided die is rolled. What is the probability of getting heads and a number greater than 2? (Any fraction with the right value counts, so you do not have to reduce it.)
  2. A fair coin is flipped and a fair six-sided die is rolled. What is the probability of getting tails and an even number? (Any fraction with the right value counts, so you do not have to reduce it.)
  3. A fair coin is flipped twice. What is the probability of getting heads on the first flip and tails on the second flip? (Any fraction with the right value counts, so you do not have to reduce it.)
  4. A fair coin is flipped and a fair six-sided die is rolled. What is the probability of getting heads and a number greater than 4? (Any fraction with the right value counts, so you do not have to reduce it.)
  5. A fair coin is flipped twice. What is the probability of getting heads on the first flip and tails on the second flip? (Any fraction with the right value counts, so you do not have to reduce it.)
  6. A fair coin is flipped twice. What is the probability of getting at least one head? (Any fraction with the right value counts, so you do not have to reduce it.)
  7. A fair coin is flipped and a fair six-sided die is rolled. What is the probability of getting heads and a number greater than 3? (Any fraction with the right value counts, so you do not have to reduce it.)
  8. A fair coin is flipped twice. What is the probability of getting two heads? (Any fraction with the right value counts, so you do not have to reduce it.)
  9. A fair coin is flipped twice. What is the probability of getting two tails? (Any fraction with the right value counts, so you do not have to reduce it.)
  10. A fair coin is flipped twice. What is the probability of getting exactly one head? (Any fraction with the right value counts, so you do not have to reduce it.)
  11. A bag has 6 yellow and 1 blue marbles. A marble is picked at random and put back, then a second marble is picked at random. What is the probability of getting two yellow marbles? (Any fraction with the right value counts, so you do not have to reduce it.)
  12. Spinner A has 4 equal sections: black, orange, blue and green. Spinner B has 6 equal sections numbered 1 to 6. Both spinners are spun. What is the probability of getting green or orange on the first spinner and 5 or more on the second? (Any fraction with the right value counts, so you do not have to reduce it.)
Key
  1. 1/3
  2. 1/4
  3. 1/4
  4. 1/6
  5. 1/4
  6. 3/4
  7. 1/4
  8. 1/4
  9. 1/4
  10. 1/2
  11. 36/49
  12. 1/6

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