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ESTIMATION. Three Types of Estimation Measurement Estimation Quantity Estimation Computational Estimation If I can drive 326 miles on 15 gallons of gasoline what is my approximate mpg? Is 10 dollars enough to buy 5 drinks that cost $2.19 each?.

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estimation

ESTIMATION

Three Types of Estimation

Measurement Estimation

Quantity Estimation

Computational Estimation

If I can drive 326 miles on 15 gallons of gasoline what is my approximate mpg?

Is 10 dollars enough to buy 5 drinks that cost $2.19 each?

a computational estimate
Determine a number that is the approximation of a computation.

Not a guess, involves some form of reasoning.

Sometimes knowing if the result is more or less than a number is sufficient.

A Computational Estimate
slide3

Multi-Digit Numbers

Can be built upon or taken apart in a wide variety of ways.

Use easier-to-handle parts of numbers to create estimates.

Computation can then be done mentally.

slide4

Multi-Digit Numbers

Substitute “nice” numbers for hard ones

Computation can then be done mentally.

slide5

Computational Estimation

Use a variety of strategies developed over time

Find Real Examples of Estimation

Accept a Range of Estimates

Focus on Flexible Methods NOT Answers

slide6

Understanding

Computational Estimation

Use the Language of Estimation

“About” “Close”

“Just about”

“A little more than”

“A little less than”

“Between””

slide7

Understanding

Computational Estimation

Estimating Without Estimates

Over or Under?

37+75 Over or Under 100

712-458 Over or under 300

319/45 Over or under 6

slide8

Understanding

Computational Estimation

Estimating Without Estimates

High or Low

736 x 18

750 x 10 730 x 15

700 x 20 750 x 20

slide9

Computational Estimation Strategies

Three methods for Computational Estimation

Front End

Rounding

Compatible (nice/friendly) Numbers

In all three--make an initial estimate and then adjust if need be.

slide10

Front End Methods

487 + 31 + 710

400+0+700=1100

Adjust to 1200

421/59

400/60=less than 7

Adjust to 7

slide11

Rounding Methods

$48.17+$1.89+$24.95

$50+$0+$20=70

Adjust to $72

$4.17 x 6

$4 x 6 = $24

Adjust $25

slide12

Compatible Numbers

41+29+63+17+65+85

41+63=about100

29+65=about 100

17+85=about 100

300-adjust to a bit more than 300

slide13

Compatible Numbers

371/21

400/20=20

Adjust to a few less than 20

69-27

67-27=40

Adjust to a bit more than 40

slide14

Estimating with Fractions, Decimals, and Percents

Represent Most Real-World Estimations

Connect to Computational Skill Development