Exploring Patterns in Equations

This lesson focuses on using patterns to write and solve equations. It includes examples such as determining the number of candles in boxes, calculating ticket costs, measuring distance for a bicyclist, and managing debt repayment. The lesson emphasizes identifying patterns in tables and translating them into equations to solve real-world problems.

What is the relationship between the number of candles (c) and the number of boxes (b)?

• c = b + 4

• c = b - 4

• c = b * 4

• c = b / 4

If there are 10 boxes, how many candles will there be?

• 10

• 30

• 20

• 40

What is the cost of one ticket if 3 tickets cost $16.5?

• $8.5

• $7.5

• $6.5

• $5.5

How much would 6 tickets cost?

• $36

• $39

• $33

• $30

What is the pattern that relates the number of yards (y) and the number of seconds (s) for the cyclist?

• y = s + 12.2

• y = s - 12.2

• y = s * 12.2

• y = s / 12.2

How far will the cyclist ride in 8 seconds?

• 105 yards

• 102.4 yards

• 100 yards

• 97.6 yards

How much does Ethan owe his mother initially?

• $60

• $70

• $75

• $50

How much will Ethan owe after 12 weeks if he repays $5 each week?

• $25

• $10

• $15

• $20

How many more weeks will Ethan need to pay his mother after 12 weeks?

• 1 week

• 2 weeks

• 3 weeks

• 4 weeks

What is the key takeaway from this lesson?

• Equations are only for advanced math.

• Patterns are only for geometry.

• Patterns can help write and solve equations.

• Patterns are not useful in math.