Patterns and Equations in Functions

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, both resulting in equations that describe the relationships in the tables.

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

• Understanding fractions

• Writing equations from tables

• Solving complex equations

• Learning about geometry

How much does Aiden earn for walking one dog?

• $8

• $12

• $10

• $5

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

• E = 12D

• E = 5D

• E = 8D

• E = 10D

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

• Number of dogs walked

• Distance walked

• Earnings

• Time spent walking

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

• Multiplication by 2

• Subtraction by 2

• Division by 4

• Addition by 3

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 by 2

• Addition by 3

• Subtraction by 1

• Multiplication by 2

What equation represents the relationship in the third problem?

• y = x + 3

• y = 2x

• y = x - 3

• y = 3x

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

• y = 3 + x

• y = x - 3

• y = 3x

• y = 2x

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

• By asking a friend

• By guessing

• By checking with a calculator

• By plugging in values and checking the results