LESSON: Line plots (difference & total)

LESSON: Line plots (difference & total)

You will be looking carefully at the questions and the number of times you see the X.

Find the longest and shortest numbers that have data on the line.

• The longest distance was  $7\ \frac{1}{2}$  

• The shortest distance was 5

•  $7\ \frac{1}{2}\ -\ 5\ =\ 2\ \frac{1}{2}\ miles$  

Difference: Subtract

• What is the longest insect? 3/4 in.

• What is the shortest insect? 1/4 in.

• What is the difference between the longest and shortest insect?

•  $\frac{3}{4}-\frac{1}{4}=\frac{2}{4}$  

Difference: Subtract

• What is the longest insect? 1 in.

• What is the shortest insect? 1/8 in.

• What is the difference between the longest and shortest insect?

•  $1-\frac{1}{8}=\frac{7}{8}$  

Difference: Subtract

• What is the longest stick? 5/8 in.

• What is the shortest stick? 1/8 in.

• What is the difference between the longest and shortest insect?

•  $\frac{5}{8}-\frac{1}{8}=\frac{4}{8}$  

Multiple Choice

What is the length of the longest fish?

• 24 inches

• 22 inches

• 24 yards

Multiple Choice

What is the length of the shortest fish?

• 24 inches

• 22 inches

• 22 yards

Multiple Choice

What is the difference between the longest and shortest fish?

• 2 inches

• 2 feet

• 2 yards

Look at the longest and shortest distance.

The longest is  $6\ \frac{3}{4}$  miles and the shortest is 5 miles.

The difference:  $6\ \frac{3}{4\ }-5=1\ \frac{3}{4}$  

Multiple Choice

What is the length of the longest phone?

• 4 inches

• 5 inches

• $4\ \frac{7}{8}$ inches

Multiple Choice

What is the length of the shortest phone?

• 4 inches

• 5 inches

• $4\ \frac{7}{8}$ inches

Multiple Choice

• 5 - 4 = 1 inch

• $4\ \frac{7}{8}\ -\ 4\ =\ \frac{7}{8}$

Find the total length of the caterpillars that were 1/4 inch long.

• Count how many X's appear above 1/4.

• Add them together.

•  $\frac{1}{4}\ +\frac{1}{4}\ +\frac{1}{4}\ +\frac{1}{4}\ +\frac{1}{4}\ =\ \frac{5}{4}$  
  

How to find a "total"

What is the total of the 1/4 cup orders combined?
 $\frac{1}{4}+\frac{1}{4}=\frac{2}{4}$  

How to find a "total"

What is the total of the 1/2 cup orders combined?
 $\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}=\frac{6}{2}$  

Multiple Choice

How many 1/2 cup orders were taken? (count the number of times you see "x" above 1/2)

• 14

• 8

• 5

Multiple Choice

What is the total amount of milk used in 1/2

• 14

• $\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}=\frac{8}{2}$

Multiple Choice

How many 3/4 cup orders were taken? (count the number of times you see X above 3/4)

• $\frac{3}{4}-\frac{1}{4}=\frac{2}{4}$

• $\frac{3}{4}+\frac{3}{4}=\frac{6}{4}$

• 2

Multiple Choice

What is the total of 3/4 cups combined?

• $\frac{3}{4}-\frac{1}{4}=\frac{2}{4}$

• $\frac{3}{4}+\frac{3}{4}=\frac{6}{4}$

Multiple Choice

How many bags weighed 2/3 pounds? (count the number of times you see X above 2/3)

• $\frac{5}{6}-\frac{1}{6}=\frac{4}{6}$

• 4

• $\frac{1}{3}+\frac{1}{3}=\frac{2}{3}$

Multiple Choice

What is the total of the 2/3 pound bag of beans?

• $\frac{5}{6}-\frac{1}{6}=\frac{4}{6}$

• $\frac{2}{3}+\frac{2}{3}+\frac{2}{3}+\frac{2}{3}=\frac{8}{3}$

• $\frac{1}{3}+\frac{1}{3}=\frac{2}{3}$

Multiple Choice

What is the total of the 1/3 pound bag of beans?

• $\frac{5}{6}-\frac{1}{6}=\frac{4}{6}$

• $\frac{2}{3}+\frac{2}{3}+\frac{2}{3}=\frac{6}{3}$

• $\frac{1}{3}+\frac{1}{3}=\frac{2}{3}$

Multiple Choice

What is the total of the 1/2 pound bag of beans?

•  $\frac{1}{2}+\frac{1}{2}+\frac{1}{2}=\frac{3}{2}$ 

• $\frac{2}{3}+\frac{2}{3}+\frac{2}{3}=\frac{6}{3}$

• $\frac{1}{3}+\frac{1}{3}=\frac{2}{3}$

Find the total of all:

• Represent each x

• Add them all together

Represent each x.

There are 7 pieces of data so I need to have 7 numbers to add.

Multiple Choice

Multiple Choice

Find the total length of all the sticks.

• $\frac{1}{8}+\frac{2}{8}+\frac{2}{8}+\frac{2}{8}+\frac{5}{8}=\ \frac{12}{8}$

• 5

• $\frac{5}{8}-\frac{1}{8}=\frac{4}{8}$