Understanding Patterns and Equations

The video tutorial covers Chapter 12, Lesson 3 of Go Math, focusing on writing equations from tables. It begins with an essential question about using equations to show relationships between variables. The first problem involves calculating Aiden's earnings per dog and writing an equation. The lesson then explains how to use variables to write equations and identify dependent and independent variables. Two additional problems are solved: one using a multiplication pattern and another using an addition pattern. The lesson concludes with a summary of the key concepts.

What is the main focus of the lesson in Chapter 12, Lesson 3?

• Learning about geometry

• Solving complex equations

• Writing equations from tables

• Understanding fractions

How much does Aiden earn for walking one dog?

• $8

• $10

• $5

• $12

What equation represents the relationship between the number of dogs walked and earnings?

• E = 12D

• E = 10D

• E = 5D

• E = 8D

In the context of Aiden's earnings, which is the independent variable?

• Earnings

• Number of dogs walked

• Time spent walking

• Distance walked

What pattern is identified in the second problem involving x and y values?

• Subtraction by 2

• Addition by 3

• Multiplication by 2

• Division by 2

What is the equation derived from the second problem's pattern?

• y = x + 2

• y = x - 2

• y = 2x

• y = 3x

In the third problem, what operation is used to find the pattern between x and y?

• Division

• Multiplication

• Subtraction

• Addition

What equation represents the relationship in the third problem?

• y = 3x

• y = x - 3

• y = 2x

• y = x + 3

Which of the following is a correct way to write the equation from the third problem?

• y = 2x

• y = 3 + x

• y = x - 3

• y = 3x

How can you verify the correctness of an equation derived from a table?

• By asking a friend

• By guessing

• By plugging in values and checking the pattern

• By checking with a calculator