MathThink - Inter A - Ball Mixing Activity: 4 Balls in 2 Boxes

September 27, 2008, at 03:12 PM by LFS - Comment added

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September 10, 2008, at 08:47 AM by Dani - Comment added

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September 10, 2008, at 01:41 AM by LFS -

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Number the balls: Attach:4balls_number.jpg Δ

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Number the balls:

September 10, 2008, at 01:40 AM by LFS -

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[]Attach:cat1try.jpg Δ Attach:down_cat.gif Δ

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[]

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Attach:mix4box_mixed.png Δ

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Attach:mix4box_separate.png Δ

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April 30, 2008, at 06:59 AM by LFS -

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Throw two dice and check their difference 6th grade probability\

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Throw two dice and check their difference 6th grade probability

April 30, 2008, at 06:58 AM by LFS -

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2 Balls - Vertical Box 6th grade probability
6 Balls - 3 Reds and 3 Greens Drop into 3 Boxes 8-10th grade probability

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2 Balls - Vertical Box 3rd grade probability
Throw two dice and check their difference 6th grade probability* 6 Balls - 3 Reds and 3 Greens Drop into 3 Boxes 8-10th grade probability

April 26, 2008, at 09:48 AM by LFS -

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To use offline, download and unzip 4balls2boxes_v3.zip.

to:

To use offline, download and unzip 4balls2boxes_v3.zip.

Then, double-click on 4balls2boxes.html. How do I do all this?

April 24, 2008, at 11:10 PM by LFS -

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We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors mixed or separate?

to:

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes.
Are the colors mixed or separate?

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April 24, 2008, at 11:06 PM by LFS -

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[c valign=middle]
[table border=1 cellpadding=3]
[row]
[c]Activity Notes
[row]
[]
We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors mixed or separate?

to:

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We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors mixed or separate?

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(a) Both boxes will have will have 1R&1G.

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(a) Both boxes will have will have 1R & 1G.

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[tableend]

April 24, 2008, at 10:49 PM by LFS -

April 24, 2008, at 10:48 PM by LFS -

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April 24, 2008, at 10:48 PM by LFS -

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[]Attach:cat1try.jpg Δ

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[]Attach:cat1try.jpg Δ Attach:down_cat.gif Δ

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To use offline, download and unzip 4balls2boxes_v3.zip.

Scratch file designed by Linda Fahlberg-Stojanovska.

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"Mutually exclusive" meaning both events cannot happen at same time and "complete" meaning no other event can occur.

to:

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To use offline, download and unzip 4 Balls 2 Boxes Drop.
Scratch file designed by Linda Fahlberg-Stojanovska.

April 20, 2008, at 05:43 AM by LFS -

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We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors % c11 bgr% or separate?

to:

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors mixed or separate?

April 20, 2008, at 05:12 AM by LFS -

April 20, 2008, at 04:14 AM by LFS -

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April 20, 2008, at 04:13 AM by LFS -

April 20, 2008, at 04:12 AM by LFS -

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April 20, 2008, at 04:09 AM by LFS -

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To use offline, download and unzip 4 Ball-2 Box Drop.
Scratch file designed by Linda Fahlberg-Stojanovska.

to:

To use offline, download and unzip 4 Balls 2 Boxes Drop.
Scratch file designed by Linda Fahlberg-Stojanovska.

April 20, 2008, at 04:08 AM by LFS -

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April 20, 2008, at 04:06 AM by LFS -

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April 20, 2008, at 03:55 AM by LFS -

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We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors mixed or separate?

to:

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors % c11 bgr% or separate?

April 20, 2008, at 03:53 AM by LFS -

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Online Activity: Mix and Drop 2 Red and 2 Green Balls into 2 Boxes

How often will boxes have mixed colors? How often will they be separate?

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We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes.

to:

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors mixed or separate?

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Download 4 Ball-2 Box Drop Scratch file designed by Linda Fahlberg-Stojanovska
To use offline, download and install freeware Scratch. See Scratch-MIT for more information.

to:

To use offline, download and unzip 4 Ball-2 Box Drop.
Scratch file designed by Linda Fahlberg-Stojanovska.
To change Scratch file, download and install freeware Scratch. See Scratch-MIT for more information.

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6 Balls - 3 Reds and 3 Greens Drop into 3 Boxes

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2 Balls - Vertical Box 6th grade probability
6 Balls - 3 Reds and 3 Greens Drop into 3 Boxes 8-10th grade probability

April 20, 2008, at 03:03 AM by LFS -

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How many times does mixed occur?

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How many times does mixed occur?

April 20, 2008, at 02:39 AM by LFS -

April 20, 2008, at 01:12 AM by LFS -

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[ valign=middle] to see the whole action ***

to:

[ valign=middle] below to see the whole action ***

April 20, 2008, at 01:07 AM by LFS -

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How many times should mixed occur?

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How many times does mixed occur?

April 20, 2008, at 01:00 AM by LFS -

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Download 4 Ball-2 Box Drop Scratch file designed by Linda Fahlberg-Stojanovska

to:

Download 4 Ball-2 Box Drop Scratch file designed by Linda Fahlberg-Stojanovska

April 20, 2008, at 12:59 AM by LFS -

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[table border=1 cellpadding=5]

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[table border=1 cellpadding=3]

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The following two events are mutually exclusive and complete.

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These two events are mutually exclusive and complete.

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Do the experiment 200-1000 times.

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Do the experiment 200-1000 times.

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How many of these times should the event mixed occur?

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How many times should mixed occur?

April 20, 2008, at 12:56 AM by LFS -

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We call this event: SEPARATE colors.

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We call this event: SEPARATE colors.

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Play this applet to find out the probability of these 2 events.

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What is the percentage of mixed?
What is the percentage of separate?

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What is the percent of mixed?
What is the percent of separate?

April 20, 2008, at 12:55 AM by LFS -

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We call this event: MIXED colors.

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We call this event: MIXED colors.

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We call this event: SEPARATE colors.

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We call this event: SEPARATE colors.

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Play this applet to find out the probability of each of these 2 events.

to:

Play this applet to find out the probability of these 2 events.

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Questions to think about:

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What appears to be the probability of mixed?
What appears to be the probability of separate?

to:

What is the percentage of mixed?
What is the percentage of separate?

April 20, 2008, at 12:54 AM by LFS -

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Online Activity: Mix and Drop 2 Red and 2 Green Balls into 2 Flat Boxes

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Online Activity: Mix and Drop 2 Red and 2 Green Balls into 2 Boxes

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We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 flat boxes.

to:

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes.

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Do the experiment several hundred times.

What appears to be the probability of the event mixed?
What appears to be the probability of the event separate?

to:

Do the experiment 200-1000 times.

What appears to be the probability of mixed?
What appears to be the probability of separate?

April 20, 2008, at 12:51 AM by LFS -

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Questions to think about:

Do the experiment several hundred times.
- What appears to be the probability of the event mixed?
- What appears to be the probability of the event separate?
Theoretically,
- How many different ways can the balls drop into the boxes with mixed colors?
- How many of these times should the event mixed occur?
- Does your theory match your experiment?

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Questions to think about:

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Do the experiment several hundred times.

What appears to be the probability of the event mixed?
What appears to be the probability of the event separate?

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Now for some dreaded theory ...
Number the balls: Attach:4balls_number.jpg Δ

How many different ways can the balls drop into the boxes?
How many of these times should the event mixed occur?
Does your theory match your experiment?

April 20, 2008, at 12:39 AM by LFS -

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[c]Applet Notes

to:

[c]Activity Notes

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We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes.
*** Click on "Cat 1 Try" to see the idea. ***

The following two events are mutually exclusive and complete (see below).

to:

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 flat boxes.

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(a) Both boxes will have will have 1R&1G.
We call this event: MIXED colors.
Attach:mix4box_mixed.png Δ

to:

The following two events are mutually exclusive and complete.

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(b) One box 2G, other box 2R.
We call this event: SEPARATE colors.
Attach:mix4box_separate.png Δ

Play this applet to find out the probability of each of these 2 events.

to:

(a) Both boxes will have will have 1R&1G.
We call this event: MIXED colors.
Attach:mix4box_mixed.png Δ

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Then think about the mathematics of this.

to:

(b) One box 2G, other box 2R.
We call this event: SEPARATE colors.
Attach:mix4box_separate.png Δ

Play this applet to find out the probability of each of these 2 events.

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Questions to think about:

Do the experiment several hundred times.
- What appears to be the probability of the event mixed?
- What appears to be the probability of the event separate?
Theoretically,
- How many different ways can the balls drop into the boxes with mixed colors?
- How many of these times should the event mixed occur?
- Does your theory match your experiment?

April 20, 2008, at 12:28 AM by LFS -

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Online Activity: Mix and Drop 2 Red and 2 Green Balls into 2 Boxes

to:

Online Activity: Mix and Drop 2 Red and 2 Green Balls into 2 Flat Boxes

How often will boxes have mixed colors? How often will they be separate?

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*** Click on "Cat 1 Try" to see the idea. ***

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[c]

[table border=0]

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[c]Applet Notes
[row]
[]
We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes.
*** Click on "Cat 1 Try" to see the idea. ***

to:

[ valign=middle]*** Click on
[]Attach:cat1try.jpg Δ
[ valign=middle] to see the whole action ***
[tableend]

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April 16, 2008, at 11:29 AM by LFS -

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6 Balls - 3 Reds, 3 Greens in 3 Boxes

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6 Balls - 3 Reds and 3 Greens Drop into 3 Boxes

April 16, 2008, at 11:23 AM by LFS -

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*** Click on "Cat 1 Try" to see the idea. ***

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*** Click on "Cat 1 Try" to see the idea. ***

April 16, 2008, at 11:21 AM by LFS -

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*** Click on "Cat 1 Try" to see the idea. ***

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We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Click on "Cat 1 Try" to see the idea.

to:

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes.
*** Click on "Cat 1 Try" to see the idea. ***

April 16, 2008, at 11:18 AM by LFS -

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4 Ball - 2 Box Drop for Scratch-MIT designed by Linda Fahlberg-Stojanovska

to:

Download 4 Ball-2 Box Drop Scratch file designed by Linda Fahlberg-Stojanovska
To use offline, download and install freeware Scratch. See Scratch-MIT for more information.

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6 Balls - 3 Reds, 3 Greens in 3 Boxes

April 16, 2008, at 11:10 AM by LFS -

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[table border=1 cellpadding=5 width=98]

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[table border=1 cellpadding=5 width=100%]

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[c]

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[c valign=middle]

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[tableend]

4 Ball - 2 Box Drop for Scratch-MIT designed by Linda Fahlberg-Stojanovska

to:

[c valign=middle]
[table border=1 cellpadding=5]
[row]
[c]Applet Notes
[row]
[]
We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Click on "Cat 1 Try" to see the idea.

The following two events are mutually exclusive and complete (see below).

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to:

(a) Both boxes will have will have 1R&1G.
We call this event: MIXED colors.
Attach:mix4box_mixed.png Δ

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InterA.4Balls2Boxes History