thursday, 4/14/04 period 2 random far side comic of the day warm – up 7-1 estimating with...

Thursday, 4/14/04Thursday, 4/14/04Period 2Period 2

Random Far Side Comic of the Day

• Warm – Up

• 7-1 Estimating with Fractions

• Notes

• Practice

• Homework

Warm-UpWarm-Up

Take a moment to write a paragraph Take a moment to write a paragraph in your journal writing about how you in your journal writing about how you would explain to someone the would explain to someone the process of estimating the numbers process of estimating the numbers 59.6541, 4.302, and 77.77777 to the 59.6541, 4.302, and 77.77777 to the nearest tenth.nearest tenth.

7.1 Estimating with 7.1 Estimating with FractionsFractions

Why would we want to know how to estimate Why would we want to know how to estimate fractions?fractions?

- To quickly estimate the sum, difference, product, or quotient of an expression involving fractions or mixed numbers.

When am I ever going to use this?When am I ever going to use this?

- Approximating the amount of ingredients needed for a recipe

- Estimating the amount of money you will make doing a job

- Estimating the distance between two locations.

- Any other ideas?


To estimate the sum or difference of fractions …To estimate the sum or difference of fractions …

Round each fraction to 0, , or 1, whichever is closest.

1

2


How do you decide what to round to?How do you decide what to round to?

~ Drawing fraction models can help you decide how to round.

Example A:

5

8

0 1

Is closest to 0, , or 1?1

2

1

2

5

81

2


Caution!!!Caution!!!

It is deceiving what to round some fractions to, so it you ever have any doubt,draw the fraction models to help you!!

Example B:

~ What would you round to? 1

3

0 1 1

2

1

2


Another tricky example : Another tricky example :

~ What would you round to? 2

3

0 1 1

2

1

2

Example C:

ActivityActivity Estimate these fractions to whichever is closest and place Estimate these fractions to whichever is closest and place

them in the appropriate column in the table below:them in the appropriate column in the table below:

Fractions Close to Fractions Close to 00

Fractions Close Fractions Close 1/21/2

Fractions Close to Fractions Close to 11

1

5

5

6

1

12

7

12

2

31

3

6

7

1

237

11

9

21

8

29

What about Mixed What about Mixed Numbers?Numbers?

We can follow a similar procedure for We can follow a similar procedure for estimating mixed numbers…estimating mixed numbers…

Example D:

~ What would you round to?

(a) 7(b) 7 ½(c) 8

174

(a) 7

Just one more minute!!!Just one more minute!!!

Take out your journals again and Take out your journals again and write a paragraph summarizing what write a paragraph summarizing what you learned about estimating you learned about estimating fractions and mixed numbers today.fractions and mixed numbers today.

Homework!!!Homework!!!

Worksheet: Estimating with FractionsWorksheet: Estimating with Fractions

thursday, 4/14/04 period 2 random far side comic of the day warm – up 7-1 estimating with...

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