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To solve this problem, we need to find the expected number of wins out of 84 games, based on the win rate from the first 14 games.

### Step-by-Step Solution:

1. **Determine the win rate:** The team won 8 out of 14 games, so the win rate is:
   \[
   \text{Win rate} = \frac{8}{14}
   \]

2. **Simplify the win rate fraction:** 
   \[
   \frac{8}{14} = \frac{4}{7}
   \]

3. **Apply the win rate to 84 games:** At this same win rate, we expect the team to win:
   \[
   \text{Expected wins} = \frac{4}{7} \times 84
   \]

4. **Calculate the result:**
   \[
   \frac{4}{7} \times 84 = 48
   \]

### Answer:
The team is expected to win **48 out of 84 games** at the same win rate.

Would you like more details on any of these steps or have additional questions?

Here are five related questions to explore:
1. What would the expected wins be if the season had 100 games instead of 84?
2. How would the win rate change if they won 10 out of the first 14 games?
3. What would happen to the expected wins if they lost 3 games out of the next 14?
4. How can we calculate the percentage win rate from their first 14 games?
5. How many games would they need to win out of the first 14 to have a 75% win rate?

**Tip:** For problems involving rates or ratios, use proportional reasoning to scale up or down easily.

The hockey team won 8 out of their first 14 games. At the same rate, how many games should they expect to win out of 84?

Calculate the expected wins for a hockey team given their current win rate. This problem demonstrates the use of ratios and proportions to predict outcomes over a larger number of games. Suitable for Grades 5-7.

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