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Height Comparison in Pole Vaulting: Math in Action

Explore how mathematics is used to compare pole vaulter heights for different vaults. Learn about representing intervals on a number line with various notations. Dive into real-world applications of domain, range, and end behavior. Get ready to analyze pole vaulting performances!

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Height Comparison in Pole Vaulting: Math in Action

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  1. Module 1: Lesson 1.1Domain, Range, and End Behavior Real World Video Module Performance Task Preview (page 3 in text): How High Does a Pole Vaulter Go? In pole vaulting, a person jumps over a horizontal bar with the assistance of a long fiberglass or carbon-fiber pole. The flexible pole makes it possible for vaulters to achieve much greater heights than jumping without a pole. The goal is to clear the bar without knocking it down. How can mathematics be used to compare the heights of a pole vaulter for two different vaults? Let’s jump in and find out!

  2. Representing an Interval on a Number Line Ex. 1: Use three different notations to represent the following inequality. Inequality: Set Notation: Interval Notation:

  3. Interval Notation Rules • Use square brackets to include an endpoint of an interval • Use parentheses to exclude an endpoint from an interval • If the interval is unbounded (continues forever) in the positive direction (to the right), use the symbol for positive infinity, • If the interval is unbounded (continues forever) in the negative direction (to the left), use the symbol for negative infinity, • Note: Always use parentheses with infinity symbols

  4. Example 2 Use three different notations to represent the following inequalities on number lines. State the type of notation for each. 1. 2. 3. Challenge:

  5. Your Turn Complete table A, table B, and Reflect on pages 5 and 6 of your textbook. Answers

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