Magical Math MindsJanie Ruddy

Learn to use amazing, astounding, and

astonishing prediction power to decrypt

and decipher the rules of divisibility.

Click on the magician’s wand to proceed!

DivisibilityDef: able to be divided

with no remainder. Can be put into groups

with equal amounts without any left-overs.

Click the wizard to learn more.

Work the two problems at your desk. When you are finished we

will check them for accuracy.

5 1245 36715

What do you notice after solving the two equations? Touch the wizard to see if you

are correct.

The problem where the dividend ended in a 5 was also evenly divisible by 5.

5 1245 36715 259 734

r. 1

Below are some numbers. Determine which numbers belong in the crystal ball. Numbers that you can ‘see’ are is

divisible by five belong inside the crystal ball. Click the wizard when you are done.

145 6025 723 846

How did y0u do?

723 846 145

6025

Click on the wizard if you want to learn more math tricks.

There are more divisibility rules for other numbers by which you divide. Touch the number to be transported to that lesson. 2

84

6

9310

All of these numbers are evenly divisible by two. Use your calculator to prove it. 62 86

124

798 2486 7420What do all of these numbers have in common. Find the magic rule you need to know to decide if a number is evenly divisible by two. Click on the wizard if you need a hint.

?

Divisible by 3?

478

111

593,174

1264267

What is your prediction? Once you have decided which numbers you think will be divisible by three, click tocheck your prediction.

No

Yes

?

Divisible by 3?

478

111

593,174

1264267

Click to check your predictions.

There are more divisibility rules for other numbers by which you divide. Touch the number to be transported to that lesson. 2

84

6

9310

All of these numbers are evenly divisible by four. Use your calculator to prove it. 124 744

612

2004 3420 2408What do all of these numbers have in common. Find the magic rule you need to know to decide if a number is evenly divisible by four. Click on the wizard if you need a hint.

40 / 4 = 10 so 240 can be divided by 4

75 / 4 = 18 r.1 so it cannot be divided by 4

YESNO

YESYE

S NO

YESNO

YESYE

S NO

Click the wizard to try some more.

YESNO

YESYE

S NO

Click the wizard to try some more.

YESNO

YESYE

S NO

Click the wizard to try some more.

YESNO

YESYE

S NO

Click the wizard to try some more.

YESNO

YESYE

S NO

Click the wizard to try some more.

Click the wand when you are done .

There are more divisibility rules for other numbers by which you divide. Touch the number to be transported to that lesson. 2

84

6

9310

Click the wizard when you are ready to move on.

2052 / 3 = 684

4103 = 1267 r. 2

2+0+5+2 = 9, 9 is a math fact of 3!

4+1+0+3 = 8, 8 is not a math fact or 3!

NoNo

Yes

Yes Yes

Can you discover which numbers are evenly divisible by 3? Touch the pot to see if you are correct. Click the wizard to try the next number.

930

472

1374

156

271

NoNo

Yes

Yes Yes

Can you discover which numbers are evenly divisible by 3? Touch the pot to see if you are correct. Click on the Wizard to try the next number.

930

472

1374

156

271

NoNo

Yes

Yes Yes

Can you discover which numbers are evenly divisible by 3? Touch the pot to see if you are correct. Click the wizrd to try another number.

930

472

1374

156

271

NoNo

Yes

Yes Yes

Can you discover which numbers are evenly divisible by 3? Touch the pot to see if you are correct. Click the wizrd to try another number.

930

472

1374

156

271

NoNo

Yes

Yes Yes

Can you discover which numbers are evenly divisible by 3? Touch the pot to see if you are correct. Click the wizrd to try another number.

930

472

1374

156

271

NoNo

Yes

Yes Yes

Can you discover which numbers are evenly divisible by 3? Touch the pot to see if you are correct. Click the wizrd to try another number.

930

472

1374

156

271

Click the wizrd when you are done.

132 is even so it is divisible by 2 and 1+3+2+ = 6 so it is ALSO

divisible by 3. Therefore, 132 is divisible by 6. 132 / 6 = 22

134 is even so it is divisble by 2 but 1+3+4 = 8 so it is not divisible by 3 therefore it is NOT divisible by

6.

Click the wizard when you are ready to practice.

NoYes

1824

3475

2406

5610

38622580

Use your magical math skills to predict which numbers are divisible by 6. One you have your prediction. Click on the wand to see if

you are right.Click the wizard to learn more.

NoYes

1824

3475

2406

5610

38622580

Use your magical math skills to predict which numbers are divisible by 6. One you have your prediction. Click on the wand to see if

you are right.Click the wizard to learn more.

Click the wizrd when you are done.

016 is really 16, since 16 is divisible by 8 so is 7016

7017 / 8 = 877

473 / 8 = 59 r. 1 so 6473 is NOT divisible by 8

Click the wizard when you are ready to practice.

7632

4260

8352

8040

7616

3230

Click the wizard after you have found all of the princes.

7632

4260

8352

8040

7616

3230

Click the wizard to try more.

7632

4260

8352

8040

7616

3230

Click the wizard to try more.

7632

4260

8352

8040

7616

3230

Click the wizard to try more.

7632

4260

8352

8040

7616

3230

Click the wizard to try more.

7632

4260

8352

8040

7616

3230

Click the wizard to try more.

7632

4260

8352

8040

7616

3230

Click the wizard to try more.

Click the wizrd when you are done.

2+3+7+6 = 18, since 18 is a math

fact of 9 then 2376 / 9 = 264

5+3+2=10 10 is NOT divisible by 9 so 532 / 9 = 59 r. 1

Click the wizard when you are done.

Click the wizard after you have found all magical runes

Click on each rune that is divisible by 9. If you are right, the rune will be magical, wrong and it will just be a rock.

9063 624

9054 919 55,044

Click the wizard to try another.

Click on each rune that is divisible by 9. If you are right, the rune will be magical, wrong and it will just be a rock.

9063 624

9054 919 55,044

Click the wizard after to try another.

Click on each rune that is divisible by 9. If you are right, the rune will be magical, wrong and it will just be a rock.

9063 624

9054 919 55,044

Click the wizard to try another.

Click on each rune that is divisible by 9. If you are right, the rune will be magical, wrong and it will just be a rock.

9063 624

9054 919 55,044

Click the wizard to try another.

Click on each rune that is divisible by 9. If you are right, the rune will be magical, wrong and it will just be a rock.

9063 624

9054 919 55,044

Click the wizard to try another.

Click on each rune that is divisible by 9. If you are right, the rune will be magical, wrong and it will just be a rock.

9063 624

9054 919 55,044

A number divisible by ten always ends in a ZERO!

45,095 does NOT end in a ‘0’ so it is NOT divisbile by 10. 45,095 / 10

= 4509 r. 5

54,950 DOES end in a ‘0’ so it IS divisible by 10. 43,950 / 10 =

4395

Click the wizard to test your skills.

Click on the numbers you think are divisible by ten. If they ARE divisble by ten, they will appear in the crystal ball.

Click on the wizrd when you are done.

50,00555,55590,76090,765

Congratulations

You have earned your wand!