Page 249 - NUMINO TG_6A
P. 249
Activity 1 Constructing Band Graphs
jOb ective Form percentages from data and construct band graphs.
1. Textbook Instructions Activity 1 Constructing Band Graphs
Have students write the percent of students Have students write the percent of students for each favorite food and then show the data using a band
who favor each kind of food and then show the graph.
data using a band graph.
The table shows students’ favorite foods in Ann’s class.
Favorite Foods
Food Hamburger Pizza Spaghetti Chicken Others Total
7 43 1 20
Number of 5
Students
Example: Favorite Foods
Convert each value in the table graph to a To find the percent, students must divide the number of students for each favorite food over the total
number of students to multiply by 100. They must remember that ‘percent’ means ‘out of 100’.
percentage.
Use the table to draw a band graph.
Starting with the value for hamburgers (5),
What percent of the students likes hamburgers?
divide the value by the total number of
5
students (20) and multiply the quotient by
20 100 25 (%)
100.
5 100 25% Find the percent of votes each food received. Complete the table.
20 Favorite Foods
Repeat the process with each of the values Food Hamburger Pizza Spaghetti Chicken Others Total
until they are all converted to a percentage.
Construct a bar graph including each Percent(%) 25 35 20 15 5 100
percentage.
Make a band graph using the table above.
Favorite Foods
0 10 20 30 40 50 60 70 80 90 100(%)
Hamburger Pizza Spaghetti Chicken Others
25% 35% 20% 15% 5%
140
2. Build Understanding
Students can eliminate a step from the process shown in the example above by paying attention to a simple rule
of percentages. Though percentages add up to 100 percent, they are simply a depiction of parts of a whole,
whether that whole is 1,000 or 1. Because of this, every percentage can also be thought of as decimals that add
up to 1.
Using this logic, students can eliminate the multiply by 100 step in problems like those on the page.
Example: 5 0.25
20
This is an expression of 0.25, or one fourth, of a whole. Therefore, by simply eliminating the decimal point and
adding a percentage symbol add the end, the right answer will be reached.
232 NUMINO Teacher s Guide
jOb ective Form percentages from data and construct band graphs.
1. Textbook Instructions Activity 1 Constructing Band Graphs
Have students write the percent of students Have students write the percent of students for each favorite food and then show the data using a band
who favor each kind of food and then show the graph.
data using a band graph.
The table shows students’ favorite foods in Ann’s class.
Favorite Foods
Food Hamburger Pizza Spaghetti Chicken Others Total
7 43 1 20
Number of 5
Students
Example: Favorite Foods
Convert each value in the table graph to a To find the percent, students must divide the number of students for each favorite food over the total
number of students to multiply by 100. They must remember that ‘percent’ means ‘out of 100’.
percentage.
Use the table to draw a band graph.
Starting with the value for hamburgers (5),
What percent of the students likes hamburgers?
divide the value by the total number of
5
students (20) and multiply the quotient by
20 100 25 (%)
100.
5 100 25% Find the percent of votes each food received. Complete the table.
20 Favorite Foods
Repeat the process with each of the values Food Hamburger Pizza Spaghetti Chicken Others Total
until they are all converted to a percentage.
Construct a bar graph including each Percent(%) 25 35 20 15 5 100
percentage.
Make a band graph using the table above.
Favorite Foods
0 10 20 30 40 50 60 70 80 90 100(%)
Hamburger Pizza Spaghetti Chicken Others
25% 35% 20% 15% 5%
140
2. Build Understanding
Students can eliminate a step from the process shown in the example above by paying attention to a simple rule
of percentages. Though percentages add up to 100 percent, they are simply a depiction of parts of a whole,
whether that whole is 1,000 or 1. Because of this, every percentage can also be thought of as decimals that add
up to 1.
Using this logic, students can eliminate the multiply by 100 step in problems like those on the page.
Example: 5 0.25
20
This is an expression of 0.25, or one fourth, of a whole. Therefore, by simply eliminating the decimal point and
adding a percentage symbol add the end, the right answer will be reached.
232 NUMINO Teacher s Guide
