Reaching New Heights

4NBT4

In 2014, Lalavath Purna set world record at the young age of 13! Let’s hear her talk about her experience:

The Seven Summits are the highest mountains on each of the seven continents. Their elevations, or heights, are in miles.

What do you notice?

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What questions do you have?

About how much taller is Everest than Pancak Jaya?

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About 12,000 m

About 4,000 m

About 7,000 m

About 1,000 m

Estimate

About how much shorter is Vinson than Elbrus?

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About 1,000 m

About 11,000 m

About 3,000 m

About 9,000 m

Estimate

Estimate

About how

much shorter is Kilimanjaro than Denali?

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About 2,000 m

About 11,000 m

Less than 1,000 m

About 8,000 m

When we are looking at how much greater or less one number is than another, we are talking about the difference between the numbers.

difference: how far apart numbers are

How can we figure out the exact difference between Everest and Aconcagua’s elevations?

Problem

Find the exact difference between Everest and Aconcagua’s elevations.

Solve

One student solved the problem like this:

Debrief

Another student solved the problem like this:

Debrief

What is similar about how these students found the difference?

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What is different?

Debrief

One way to find the difference between numbers is subtracting them.

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6,961 – 5,642 = the difference between 6,961 and 5,642

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You can find partial differences and then use those to find the exact difference.

Debrief

These are the partial differences. Partial differences are part of the exact difference.

partial differences

Practice

Use partial differences to find the difference in elevation.

Practice

Use partial differences to find the difference in elevation.

Practice

Use partial differences to find the difference in elevation.

Practice

Use partial differences to find the difference in elevation.

Practice

Use partial differences to find the difference in elevation.

Find the exact difference between Everest and Aconcagua’s elevations.

Name: _____________________________________________

Date: ________________

Use partial differences to find the differences in elevation between Kilimanjaro and Vinson’s elevations.

Use partial differences to find the differences in elevation between Kilimanjaro and Vinson’s elevations.

Name: _____________________________________________

Date: ________________

Use partial differences to find the differences in elevation between Aconcagua and Denali’s elevations.

Use partial differences to find the differences in elevation between Denali and Vinson’s elevations.