Determining the central value of two numbers

Students learn to determine the central value of two numbers.

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The students learn to determine the central value of two numbers.

CCSS.Math.Content.6.SP.B.5.C

Students will be able to determine the central value of two numbers to 100.

Together with the students, discuss which number is indicated by the question mark on the number line.

Explain that you can determine the central value of two numbers, by first calculating the difference between the numbers by subtracting one from the other. In the example you then have 20 - 16 = 4. In order to determine what half of 4 is you divide 4 by 2. Then you add the half to the lower number (16) (or you subtract the half from the higher number (20)). 16 + 2 = 18. So the central value of 16 and 20 is 18. Next discuss together how you find the central value of 50 and 70. After this, have the students solve the following problems on their own. Then have the students solve the following problems independently.

Check whether the students can determine the central value of two numbers, by asking the following question:

- What steps do you take to determine the central value of two numbers?

The students test their understanding of determining the central value of two numbers through ten exercises. In each of the exercises, they must determine the central value of two numbers and then fill it in.

Discuss once again the importance of being able to determine the central value of two numbers. As a closing activity, have the students drag the two arrows to places on the number line and determine the central value of the two numbers.

When students have difficulty with determining the central value of two numbers, try explaining the concept visually using blocks or an abacus.

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