Understanding Linear Equations and Graphs

This lesson covers graphing linear equations, focusing on predicting graph shapes and understanding rational numbers. Students learn key vocabulary, solve example problems, and complete exercises to reinforce their understanding. The lesson emphasizes that linear equations form straight lines and provides guidance on graphing techniques.

What materials are needed for the lesson on graphing linear equations?

• Graph paper, writing tools, and a calculator

• A calculator, writing tools, and pages 135 to 145 in the workbook

• Graph paper, a calculator, and a ruler

• Graph paper, writing tools, and pages 135 to 145 in the workbook

Which of the following is NOT a characteristic of rational numbers?

• They include all integers

• They include all repeating decimals

• They include numbers like pi

• They include all terminating decimals

What is the defining feature of a linear equation's graph?

• It forms a curve

• It forms a straight line

• It forms a circle

• It forms a parabola

In the example equation x + y = 6, what is the value of y when x is 2?

• 5

• 3

• 6

• 4

What is the purpose of adding more points to the graph of x + y = 6?

• To make the graph look more colorful

• To change the shape of the graph

• To confirm the graph is a straight line

• To make the graph more complex

What is the main takeaway about the graph of a linear equation?

• It is always a circle

• It is always a curve

• It is always a straight line

• It can be any shape

What should you do if you want to verify if a point belongs to a linear equation's graph?

• Check if the point is above the line

• Check if the point lies on the line

• Check if the point is to the left of the line

• Check if the point is below the line

What is the first step in solving the exercises in the problem set?

• Graph the equation without finding solutions

• Find at least 10 solutions to the equation

• Use a calculator to find the solutions

• Guess the solutions

What should you do if your graph does not match the expected straight line?

• Recheck your calculations and points

• Ignore the mistake

• Add more points randomly

• Change the equation

What is the purpose of the exit ticket in the lesson?

• To test understanding of the lesson

• To summarize the lesson

• To introduce new concepts

• To provide additional practice