How many halves can fit on a whole circle?
How many halves can fit on a whole circle?
How many halves can fit on a whole circle?
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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