Exploring Graphs and Order of Rational Numbers

The video tutorial introduces sixth-grade students to graphing and ordering rational numbers, including both positive and negative decimals and fractions. It provides a step-by-step guide to ordering rational numbers from greatest to least and least to greatest, using a number line for visualization. The tutorial emphasizes the importance of identifying positive and negative numbers and determining increments for accurate plotting. Two examples are provided to illustrate the process, with a focus on understanding whole numbers as guideposts and using different increments for plotting.

What types of numbers are considered rational numbers?

• Only positive whole numbers

• Only negative whole numbers

• Decimals and fractions, both positive and negative

• Only positive fractions

What is the first step in ordering rational numbers from greatest to least?

• Determining the increments

• Identifying which numbers are positive and which are negative

• Drawing the number line

• Plotting them on a number line

Which of the following is true when ordering rational numbers from greatest to least?

• Decimals are always greater than fractions

• Positive numbers are always greater than negative numbers

• Negative numbers are always greater than positive numbers

• Fractions are always greater than whole numbers

What should be used as guideposts when plotting rational numbers on a number line?

• Whole numbers

• Fractions

• Negative numbers

• Decimals

How do you determine the increments for plotting rational numbers?

• By using the average of all denominators

• By using the smallest denominator

• By using the sum of all denominators

• By using the largest denominator

Where would negative 3/8 be plotted on a number line?

• Between 1 and 2

• Between 0 and -1

• Between -1 and -2

• Between 0 and 1

In the example of ordering from least to greatest, which number is the smallest?

• Negative 3 and 1/4

• Negative 3 and 1/2

• 0

• 1/4

What is the final step after plotting rational numbers on a number line?

• Identifying the order from greatest to least or least to greatest

• Drawing the number line again

• Rechecking the increments

• Erasing the plotted points

When dealing with decimals, what should you keep in mind?

• Read them as negative numbers

• Read them as fractions

• Read them as whole numbers

• Read them as tenths

Which pages are assigned for homework?

• Pages 111 and 115

• Pages 120 and 125

• Pages 110 and 115

• Pages 100 and 105