Determining the average of decimal numbers
Students learn to determine the average of decimal numbers.
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General
The students learn to determine the average of decimal numbers. The average is always a whole number.
Standards
CCSS.Math.Content.6.SP.B.5.C
Learning objective
Students will be able to calculate the average (whole number) of multiple decimal numbers.
Introduction
Have the students calculate the averages without decimal numbers.
Instruction
Explain that when determine the average of decimal numbers you start by adding the numbers together. Show that you add the numbers 6.5 | 7.1 | 4.4 together (6.5 + 7.1 + 4.4 = 18). Next you divide the total by the number of numbers that you added together to determine the average (18 ÷ 3 = 6). You can practice the following two problems together with the students. You may show the tip hidden behind the cover as a reminder to the students of the steps that they should follow. In the next problems, the students determine the average on their own. Show the table. Explain that you are going to determine what the average grade is for math. First add the numbers in the table together (9.5 + 4.9 + 6.6 = 21). Now divide the total by the number of numbers (21 ÷ 3 = 7). Next you have the students determine the average grade for spelling.
Check whether the students can determine the average of decimal numbers, by asking the following question:
- What steps do you take to determine the average of decimal numbers?
Quiz
The students test their understanding of determining the average of decimal numbers through ten exercises. In each of the exercises, they must determine the average of multiple decimal numbers. Some of the numbers are displayed in a table, and some of the exercises are story problems.
Closing
Discuss once again the importance of determining the average of decimal numbers. As a closing activity you have the students solve the problems.
Teaching tips
Have students that have difficulty with determining the average of decimal numbers first practice adding together whole numbers and dividing them by the number of numbers that they have added together. If they can do this easily then you can have them divide the whole numbers into decimal numbers.
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