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Patterns<br />

Welcome to the 2009<br />

Title 1/Special<br />

Fall Educati<strong>on</strong>al C<strong>on</strong>ference<br />

Interactive Material<br />

Flashlight<br />

Rulers<br />

Compare and<br />

Order<br />

Decimals<br />

<str<strong>on</strong>g>How</str<strong>on</strong>g> <str<strong>on</strong>g>many</str<strong>on</strong>g> <str<strong>on</strong>g>halves</str<strong>on</strong>g> <str<strong>on</strong>g>can</str<strong>on</strong>g><br />

<str<strong>on</strong>g>fit</str<strong>on</strong>g> <strong>on</strong> a <strong>whole</strong> <strong>circle</strong>?<br />

Mean, Median, and Mode<br />

Review Game<br />

Multiples and LCM's<br />

September 21, 2009


<str<strong>on</strong>g>How</str<strong>on</strong>g> <str<strong>on</strong>g>many</str<strong>on</strong>g> fourths <str<strong>on</strong>g>fit</str<strong>on</strong>g> <strong>on</strong><br />

1/2 half of this cirlce?<br />

<str<strong>on</strong>g>How</str<strong>on</strong>g> <str<strong>on</strong>g>many</str<strong>on</strong>g> Sixths <str<strong>on</strong>g>can</str<strong>on</strong>g> <str<strong>on</strong>g>fit</str<strong>on</strong>g><br />

<strong>on</strong> 1/3 of this <strong>circle</strong>?<br />

<str<strong>on</strong>g>How</str<strong>on</strong>g> <str<strong>on</strong>g>many</str<strong>on</strong>g> eighths<br />

<str<strong>on</strong>g>can</str<strong>on</strong>g> <str<strong>on</strong>g>fit</str<strong>on</strong>g> in 1/4 of this<br />

<strong>circle</strong>?<br />

September 21, 2009


1/8<br />

1/4<br />

1/7<br />

<str<strong>on</strong>g>How</str<strong>on</strong>g> <str<strong>on</strong>g>many</str<strong>on</strong>g> different<br />

combinati<strong>on</strong>s <str<strong>on</strong>g>can</str<strong>on</strong>g> you make to<br />

fill the <strong>circle</strong>? Keep track of<br />

what pieces you use. (You may<br />

need to rotate your pieces)<br />

Record all of your combinati<strong>on</strong>s<br />

from slide 5 here.<br />

Task: Name the shaded part using a fracti<strong>on</strong>. Then check your<br />

answer using the magnifying glass.<br />

1<br />

2<br />

1<br />

4<br />

3<br />

4<br />

2 1<br />

1/2<br />

2<br />

2<br />

The answers are under each shape<br />

2<br />

4<br />

1/3<br />

1/6<br />

1/5<br />

1<br />

2<br />

3<br />

4<br />

September 21, 2009


Pull<br />

Drag<br />

to<br />

Target<br />

acute<br />

Practice - Angle Measurement<br />

Practice - Angle Measurement<br />

30 o<br />

More Angle Practice Measurements<br />

Look Look at each each angle. angle. Determine the type of angle it is and<br />

estimate estimate the angle angle value. Drag the magnifying glass over<br />

it to see the actual actual angle value and type.<br />

obtuse<br />

160 o<br />

obtuse<br />

110 o<br />

obtuse<br />

95 o<br />

acute<br />

9 o<br />

right<br />

90 o<br />

Which of the fracti<strong>on</strong>s below are mixed numbers?<br />

Drag the magnifying glass to see the mixed<br />

numbers.<br />

2<br />

5<br />

2¾<br />

1½<br />

4 7<br />

10<br />

3<br />

4<br />

Pull<br />

September 21, 2009


Find the area of the following shapes.<br />

20<br />

The area is _______ square units.<br />

Area of Rectangles<br />

3ft.<br />

6ft.<br />

18 sq. ft.<br />

Area = _______<br />

Finding Area<br />

Finding Area<br />

16 in.<br />

The area is _______ 18 square units.<br />

5in.<br />

Area =_____ 80in 2<br />

Drag the magnifying glass over each shape.<br />

$0.10<br />

$1.00<br />

From the Ontario User Group<br />

$0.50<br />

$1.50<br />

8 ft.<br />

6ft.<br />

Area=____<br />

48ft 2<br />

Look at the prices of the goods <strong>on</strong> the side ...<br />

pull the correct amount of m<strong>on</strong>ey into the box to<br />

pay for each item<br />

September 21, 2009


2<br />

4<br />

5<br />

IN<br />

What's my rule?<br />

Created by Harvey Almarode<br />

http://almarolh.googlepages.com/<br />

5<br />

+ 3<br />

Seperate this number into expanded notati<strong>on</strong>.<br />

45 X 68 =<br />

10000 9000 600 305<br />

Expanded Notati<strong>on</strong><br />

Expanded Notati<strong>on</strong><br />

+ + +<br />

+<br />

Lattice Lattice Multiplicati<strong>on</strong><br />

Multiplicati<strong>on</strong><br />

4 5<br />

6<br />

8<br />

7<br />

=<br />

8<br />

OUT<br />

Next<br />

September 21, 2009


Appealing to Spatial Learners<br />

Adding and subtracting integers<br />

X+ 5 = 12<br />

Move the finger to model<br />

the operati<strong>on</strong>.<br />

Answer<br />

September 21, 2009


72<br />

- 48<br />

24<br />

4,300<br />

- 2,567<br />

1,733<br />

M<br />

u<br />

l<br />

t<br />

i<br />

p<br />

l<br />

i<br />

c<br />

a<br />

t<br />

i<br />

o<br />

n<br />

T<br />

a<br />

b<br />

l<br />

e<br />

Multiple Choice<br />

652<br />

- 427<br />

225<br />

536<br />

- 259<br />

277<br />

7,548<br />

-4,619<br />

2,929<br />

2,006 3,020 4,028<br />

- 1,543 - 1,785 - 3,875<br />

463 1,235 153<br />

Drag the box to reveal answers<br />

September 21, 2009


M<br />

u<br />

l<br />

t<br />

i<br />

p<br />

l<br />

i<br />

c<br />

a<br />

t<br />

i<br />

o<br />

n<br />

T<br />

a<br />

b<br />

l<br />

e<br />

1 2 3 4 5 6 7 8 9 10<br />

1 1 1 2 1 3 1 4<br />

21<br />

31<br />

41<br />

51<br />

61<br />

71<br />

81<br />

91<br />

22<br />

32<br />

42<br />

52<br />

62<br />

72<br />

82<br />

92<br />

23<br />

33<br />

43<br />

53<br />

63<br />

73<br />

83<br />

93<br />

24<br />

34<br />

44<br />

54<br />

64<br />

74<br />

84<br />

94<br />

15<br />

25<br />

35<br />

45<br />

55<br />

65<br />

75<br />

85<br />

95<br />

16<br />

26<br />

36<br />

46<br />

56<br />

66<br />

76<br />

86<br />

96<br />

C<strong>on</strong>nect Four<br />

1. Players begin the game by flipping a coin.<br />

2. The player winning the flip decides if they would like to go first or<br />

pass.<br />

17<br />

27<br />

37<br />

47<br />

57<br />

67<br />

77<br />

87<br />

97<br />

18<br />

38<br />

58<br />

3. The player who starts the game will answer <strong>on</strong>e of the math<br />

problems.<br />

4. If the player answers the questi<strong>on</strong> he/she will place their marker in<br />

<strong>on</strong>e of the <strong>circle</strong>s.<br />

28<br />

48<br />

68<br />

78<br />

88<br />

98<br />

19<br />

29<br />

39<br />

49<br />

59<br />

69<br />

79<br />

89<br />

20<br />

30<br />

40<br />

50<br />

60<br />

70<br />

80<br />

90<br />

99 100<br />

5. If they do not answer the questi<strong>on</strong> correctly the other player has the<br />

chance to answer the problem. If the other player answers<br />

the questi<strong>on</strong> correctly they will place their marker in a <strong>circle</strong> and c<strong>on</strong>tinue<br />

with their turn.<br />

6. Winner is determined by the pers<strong>on</strong> who c<strong>on</strong>nects four <strong>circle</strong>s in a row.<br />

Prime Numbers to 100<br />

September 21, 2009


Coin Flip<br />

Game Board<br />

C<strong>on</strong>nect Four<br />

Game<br />

Board<br />

Player 1 Player 2<br />

Problems<br />

September 21, 2009


Quick Reference Guide<br />

http://illuminati<strong>on</strong>s.nctm.org/<br />

Websites for the Smartboard<br />

http://www.shodor.org/interactivate/activities/<br />

http://nlvm.usu.edu/en/nav/index.html<br />

http://www.educati<strong>on</strong>.smarttech.com/ste/en-us/<br />

http://www.bristolvaschools.org/mwarren/SBActivities.htm<br />

http://www.kent<strong>on</strong>.k12.ky.us/SmartBoard/smartmath.htm<br />

http://educati<strong>on</strong>.smarttech.com/ste/en-US/Ed+Resource/Software+Resources/toolkit/<br />

http://smartboards.typepad.com/smartboard/<br />

More Smartboard Websites<br />

http://pbskids.org/whiteboard/<br />

http://eduscapes.com/sessi<strong>on</strong>s/smartboard/<br />

http://www.aplusmath.com/Games/index.html<br />

http://www.mathplayground.com/<br />

http://www.topmarks.co.uk/Interactive.aspx?cat=1<br />

September 21, 2009


Review Game<br />

Submitted by<br />

Todd Magnus<strong>on</strong><br />

Understood the Wordle but had to adapt this to what I like to<br />

Algebra: Chapter One<br />

Solving Equati<strong>on</strong>s<br />

Review Game<br />

do. Click <strong>on</strong> the links by the spinner to get to work pages.<br />

5x - 3x = 9 - x<br />

-x + 8 = 4<br />

-x + 7 = 2x - 4<br />

Solve for x<br />

Graph<br />

-6x - 8 = -2<br />

4x + 7 = 15<br />

-2x - 6 = 4x - 12<br />

2x + 3 = 9<br />

Functi<strong>on</strong> Table<br />

Slope Intercept<br />

Graph<br />

-3x - 5 = 7<br />

3x + 6 = 4x - 2<br />

Start<br />

4x - 6 = 9x - 1<br />

Scoreboard<br />

Team A Team B<br />

0 0<br />

0 2 4 6<br />

1 3 5<br />

8<br />

7 9 Winner<br />

back<br />

September 21, 2009


Solve for x<br />

show all work<br />

Slope Intercept<br />

(Write in y = mx + b form)<br />

Functi<strong>on</strong> Table<br />

x y<br />

back<br />

back<br />

back<br />

September 21, 2009


Mean<br />

Mean<br />

(Average)<br />

Mean, Median,<br />

and Mode<br />

Median 1 Median 2 Mode<br />

32 22<br />

Add all of the numbers and divide<br />

by the number of numbers!<br />

54 62 45<br />

32 + 22 + 54 + 62 + 45 = 215<br />

215 divided by 5 = 43<br />

Mean<br />

Median 1 Median 2 Mode<br />

Median 1<br />

32 22<br />

Click <strong>on</strong> a<br />

Corner of the box!<br />

Put the numbers in order and<br />

find the middle.<br />

54 62 45<br />

22 32 45 54 62<br />

22 32 45 54 62<br />

Click<br />

<strong>on</strong> box!<br />

Mean<br />

Median 1 Median 2 Mode<br />

September 21, 2009


Median 2<br />

58 67 67 74 45 89<br />

45 58 67 71 74 89<br />

If there are two middle<br />

numbers, find their mean!<br />

45 58 67 71 74 89<br />

67 + 71 = 138 138 divided by 2 = 79<br />

Click<br />

<strong>on</strong> box!<br />

Mean Median 1 Median 2 Mode<br />

Mode<br />

The number that occurs<br />

more often than the others.<br />

Example 1 Example 2<br />

32 51 68 51 64 33<br />

51 is the mode because it occurs twice<br />

and the others occur <strong>on</strong>ly <strong>on</strong>ce.<br />

Example 3<br />

32 22 32 15 55 22<br />

32 and 22 are both the mode because they<br />

occur twice and the others occur <strong>on</strong>ly <strong>on</strong>ce.<br />

15 22 32 22 15 32 22 15 32<br />

There is no mode, because they all appear an<br />

equal number of times.<br />

Mean<br />

Median 1 Median 2 Mode Mode<br />

September 21, 2009


1-800-596-3175<br />

demo@aegom.com<br />

September 21, 2009


><br />

=<br />

><br />

><br />

September 21, 2009


September 21, 2009


2x + 8 = 24<br />

6<br />

7<br />

3<br />

September 21, 2009<br />

Turn On<br />

the<br />

Light<br />

8


2x + 8 = 24<br />

-8 -8<br />

Next<br />

Questi<strong>on</strong><br />

2x = 16<br />

2 2<br />

x = 8<br />

Great<br />

Job!!<br />

September 21, 2009


2x + 8 = 24<br />

Sorry<br />

Try Again<br />

September 21, 2009<br />

Back<br />

to<br />

Problem


Click<br />

to<br />

Check<br />

September 21, 2009


September 21, 2009


September 21, 2009


PATTERNS<br />

By: Nicole Mobley<br />

nmobley@se.richland2.org<br />

Sandlapper Elementary<br />

Columbia, SC<br />

Copying Patterns<br />

Extending Patterns<br />

September 21, 2009


Finish the color patterns below.<br />

Finish the shape patterns below.<br />

Sound Patterns<br />

zip cow zip cow zip cow<br />

September 21, 2009


Sound Patterns Cyber-Pattern Player<br />

Making Patterns<br />

September 21, 2009


Use your cubes to make your own color pattern. Transfer the color<br />

pattern to the grid.<br />

Use the cubes to make your own color pattern.<br />

Translating Patterns<br />

September 21, 2009


Growing Patterns<br />

Stage 4 Stage 5<br />

Stage 4 Stage 5<br />

September 21, 2009


Crazy Pattern Machine<br />

Pattern Mania<br />

Pattern Game<br />

Check out Cookie<br />

September 21, 2009


Measuring Using with a Ruler Ruler<br />

By: Nicole Mobley<br />

nmobley@se.richland2.org<br />

Sandlapper Elementary<br />

Columbia, SC<br />

The zero mark is always located at 0.<br />

<str<strong>on</strong>g>How</str<strong>on</strong>g> much is each space?<br />

1 inch 1 inch 1 inch 1 inch<br />

September 21, 2009


Compare centimeters to inches<br />

Funbrain<br />

September 21, 2009


September 21, 2009

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