InterA.4Balls2Boxes History
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Number the balls: Attach:4balls_number.jpg Δ
Number the balls:
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- Throw two dice and check their difference 6th grade probability\
- Throw two dice and check their difference 6th grade probability
- 2 Balls - Vertical Box 6th grade probability
- 6 Balls - 3 Reds and 3 Greens Drop into 3 Boxes 8-10th grade probability
- 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
To use offline, download and unzip 4balls2boxes_v3.zip.
To use offline, download and unzip 4balls2boxes_v3.zip.
Then, double-click on 4balls2boxes.html. How do I do all this?We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors mixed or separate?
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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[c]Activity Notes
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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?
We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors mixed or separate?
(a) Both boxes will have will have 1R&1G.
(a) Both boxes will have will have 1R & 1G.
[tableend]
To use offline, download and unzip 4balls2boxes_v3.zip.
Scratch file designed by Linda Fahlberg-Stojanovska.
- To use offline, download and unzip 4 Balls 2 Boxes Drop.
- Scratch file designed by Linda Fahlberg-Stojanovska.
We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors % c11 bgr% or separate?
We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors mixed or separate?
<applet id='ProjectApplet' style='display:block' code='ScratchApplet' codebase='http://mathcasts.org/mtwiki/uploads/Activity' archive='ScratchApplet.jar' height='387' width='482'><param name='project' value='4balls2boxes_v3.sb'></applet>
<applet id='ProjectApplet' style='display:block' code='ScratchApplet' codebase='http://mathcasts.org/mtwiki/uploads/Activity' archive='ScratchApplet.jar' height='387' width='482'><param name='project' value='4balls_v3.sb'></applet>
<applet id='ProjectApplet' style='display:block' code='ScratchApplet' codebase='http://mathcasts.org/mtwiki/uploads/Activity' archive='ScratchApplet.jar' height='387' width='482'><param name='project' value='4balls2boxes
_v3.sb'></applet>
<applet id='ProjectApplet' style='display:block' code='ScratchApplet' codebase='http://mathcasts.org/mtwiki/uploads/Activity' archive='ScratchApplet.jar' height='387' width='482'><param name='project' value='4balls2boxes_v3.sb'></applet>
- To use offline, download and unzip 4 Ball-2 Box Drop.
- Scratch file designed by Linda Fahlberg-Stojanovska.
- To use offline, download and unzip 4 Balls 2 Boxes Drop.
- Scratch file designed by Linda Fahlberg-Stojanovska.
<applet id='ProjectApplet' style='display:block' code='ScratchApplet' codebase='http://mathcasts.org/mtwiki/uploads/Activity' archive='ScratchApplet.jar' height='387' width='482'><param name='project' value='4balls_v3.sb'></applet>
<applet id='ProjectApplet' style='display:block' code='ScratchApplet' codebase='http://mathcasts.org/mtwiki/uploads/Activity' archive='ScratchApplet.jar' height='387' width='482'><param name='project' value='4balls2boxes
_v3.sb'></applet>
We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors mixed or separate?
We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors % c11 bgr% or separate?
- Online Activity: Mix and Drop 2 Red and 2 Green Balls into 2 Boxes
We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes.
We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors mixed or separate?
- 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 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.
- 2 Balls - Vertical Box 6th grade probability
- 6 Balls - 3 Reds and 3 Greens Drop into 3 Boxes 8-10th grade probability
- How many times does mixed occur?
- How many times does mixed occur?
[ valign=middle] to see the whole action ***
[ valign=middle] below to see the whole action ***
- How many times should mixed occur?
- How many times does mixed occur?
<applet id='ProjectApplet' style='display:block' code='ScratchApplet' codebase='http://mathcasts.org/mtwiki/uploads/Activity' archive='ScratchApplet.jar' height='387' width='482'><param name='project' value='4balls_v2.sb'></applet>
<applet id='ProjectApplet' style='display:block' code='ScratchApplet' codebase='http://mathcasts.org/mtwiki/uploads/Activity' archive='ScratchApplet.jar' height='387' width='482'><param name='project' value='4balls_v3.sb'></applet>
- Download 4 Ball-2 Box Drop Scratch file designed by Linda Fahlberg-Stojanovska
- Download 4 Ball-2 Box Drop Scratch file designed by Linda Fahlberg-Stojanovska
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The following two events are mutually exclusive and complete.
These two events are mutually exclusive and complete.
Do the experiment 200-1000 times.
Do the experiment 200-1000 times.
- How many of these times should the event mixed occur?
- How many times should mixed occur?
We call this event: SEPARATE colors.
We call this event: SEPARATE colors.
- What is the percentage of mixed?
- What is the percentage of separate?
- What is the percent of mixed?
- What is the percent of separate?
We call this event: MIXED colors.
We call this event: MIXED colors.
We call this event: SEPARATE colors.
We call this event: SEPARATE colors.
Questions to think about:
- What appears to be the probability of mixed?
- What appears to be the probability of separate?
- What is the percentage of mixed?
- What is the percentage of separate?
- Online Activity: Mix and Drop 2 Red and 2 Green Balls into 2 Flat Boxes
- Online Activity: Mix and Drop 2 Red and 2 Green Balls into 2 Boxes
We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 flat boxes.
We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes.
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?
Do the experiment 200-1000 times.
- What appears to be the probability of mixed?
- What appears to be the probability of separate?
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?
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?
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?
[c]Applet Notes
[c]Activity Notes
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).
We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 flat boxes.
(a) Both boxes will have will have 1R&1G.
We call this event: MIXED colors.
Attach:mix4box_mixed.png Δ
The following two events are mutually exclusive and complete.
(b) One box 2G, other box 2R.
We call this event: SEPARATE colors.
Attach:mix4box_separate.png Δ
(a) Both boxes will have will have 1R&1G.
We call this event: MIXED colors.
Attach:mix4box_mixed.png Δ
Then think about the mathematics of this.
(b) One box 2G, other box 2R.
We call this event: SEPARATE colors.
Attach:mix4box_separate.png Δ
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?
- Online Activity: Mix and Drop 2 Red and 2 Green Balls into 2 Boxes
- Online Activity: Mix and Drop 2 Red and 2 Green Balls into 2 Flat Boxes
[c]
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[c]Applet 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. ***
[ valign=middle]*** Click on
[]Attach:cat1try.jpg Δ
[ valign=middle] to see the whole action ***
[tableend]
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.
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. ***
- 4 Ball - 2 Box Drop for Scratch-MIT designed by Linda Fahlberg-Stojanovska
- 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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[table border=1 cellpadding=5 width=100%]
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- 4 Ball - 2 Box Drop for Scratch-MIT designed by Linda Fahlberg-Stojanovska
[c valign=middle]
[table border=1 cellpadding=5]
[row]
[c]Applet Notes
[row]
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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).
(a) Both boxes will have will have 1R&1G.
We call this event: MIXED colors.
Attach:mix4box_mixed.png Δ
Related Topics
(b) One box 2G, other box 2R.
We call this event: SEPARATE colors.
Attach:mix4box_separate.png Δ
Then think about the mathematics of this.
<applet id='ProjectApplet' style='display:block' code='ScratchApplet' codebase='http://mathcasts.org/mtwiki/uploads/Activity' archive='ScratchApplet.jar' height='387' width='482'><param name='project' value='4balls.sb'></applet>
<applet id='ProjectApplet' style='display:block' code='ScratchApplet' codebase='http://mathcasts.org/mtwiki/uploads/Activity' archive='ScratchApplet.jar' height='387' width='482'><param name='project' value='4balls_v2.sb'></applet>
- 4 Ball - 2 Box Drop for Scratch-MIT designed by Linda Fahlberg-Stojanovska
- 4 Ball - 2 Box Drop for Scratch-MIT designed by Linda Fahlberg-Stojanovska