Step-by-step examples of describing mapping sequences (Grade 8)

📚 Quick Study Guide

• 🗺️ A mapping sequence describes how one set of numbers (the input) transforms into another set of numbers (the output).
• 🔢 You're looking for a rule or pattern that connects each input value to its corresponding output value.
• ➕ The rule can involve addition, subtraction, multiplication, division, or a combination of these operations.
• ✏️ To describe a mapping sequence, identify the operation(s) performed on each input to get the output.
• 💡 Write the rule in a clear and concise way. For example: "Multiply by 2, then add 1."
• 🧮 Test your rule with multiple input values to make sure it works consistently.
• 📈 Mapping sequences can also be represented graphically or as a table.

Practice Quiz

1. What is the rule for the mapping sequence: 1 → 3, 2 → 5, 3 → 7, 4 → 9?
   1. Add 2
   2. Multiply by 2
   3. Multiply by 2, then add 1
   4. Multiply by 3
2. Which operation is NOT typically used in mapping sequences?
   1. Addition
   2. Multiplication
   3. Differentiation
   4. Subtraction
3. If the rule is "Multiply by 3, then subtract 2", what is the output for an input of 5?
   1. 13
   2. 17
   3. 11
   4. 8
4. Given the mapping sequence: 2 → 4, 4 → 8, 6 → 12, what is the output for an input of 8?
   1. 14
   2. 16
   3. 10
   4. 20
5. What is the rule for the mapping sequence: 1 → 5, 2 → 10, 3 → 15, 4 → 20?
   1. Add 4
   2. Multiply by 4
   3. Multiply by 5
   4. Add 5
6. If the rule is "Divide by 2, then add 3", what is the output for an input of 10?
   1. 5
   2. 8
   3. 13
   4. 10
7. Which of the following best describes a mapping sequence?
   1. A random set of numbers
   2. A sequence where each input is transformed into an output based on a rule
   3. A sequence where numbers decrease
   4. A sequence where numbers increase