Running Distances and Temperature Relationships

The video tutorial covers Activity 3 from Lesson 1, focusing on creating and solving number puzzles. It revisits two previous puzzles: a temperature puzzle and a running puzzle, explaining their solutions. Students are encouraged to create their own puzzles by altering numbers in the given puzzles. The tutorial explores variations of these puzzles, demonstrating how to solve them using algebraic methods. It emphasizes understanding reciprocal relationships and multiplicative inverses in solving the running puzzle, providing a detailed step-by-step solution.

What is the main objective of Activity 3?

• To create a completely new puzzle from scratch.

• To solve a given puzzle without any modifications.

• To write a story based on the puzzles.

• To modify existing puzzles by changing numbers and analyze the outcomes.

If the ending temperature is increased by 10 degrees, what is the new ending temperature?

• 46 degrees

• 26 degrees

• 16 degrees

• 36 degrees

In the running puzzle, if Lin runs three times as far as Diego, what is the relationship between their distances?

• Lin runs half the distance of Diego.

• Lin runs one-third the distance of Diego.

• Lin runs the same distance as Diego.

• Lin runs three times the distance of Diego.

What is the starting temperature if the ending temperature is 26 degrees and the last step was adding 40 degrees?

• -4 degrees

• 10 degrees

• 0 degrees

• -14 degrees

What is the starting temperature if you begin at 0 degrees and add a negative 10 degrees?

• -10 degrees

• 10 degrees

• 0 degrees

• 20 degrees

How much farther does Jada run compared to Noah if she runs five-fourths the distance?

• Twice the distance of Noah

• One-fourth of Noah's distance farther

• The same distance as Noah

• Half the distance of Noah

If Diego runs 300 meters farther than Jada, and Jada runs 1500 meters, how far does Diego run?

• 1500 meters

• 2100 meters

• 1200 meters

• 1800 meters

What is the multiplicative inverse of five-fourths?

• One-fifth

• One-fourth

• Five-fourths

• Four-fifths

If Lin runs half the distance of Diego, and Diego runs 1800 meters, how far does Lin run?

• 900 meters

• 1800 meters

• 1200 meters

• 600 meters

What is the purpose of using the reciprocal relationship in solving the running puzzle?

• To simplify the puzzle by ignoring some steps.

• To find the exact distance run by each character.

• To solve for unknown distances by reversing the given relationship.

• To convert distances into different units.