Download - Algebra: The Early Years
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Algebra: The Early YearsElijah R. Swift, Jr.Chandler-Gilbert Community CollegeMaricopa County Community College District, AZ
Aline WilsonLenora Braynon Smith Elementary SchoolMiami-Dade County Public Schools FL
John RobertsLeflore County P.S., MS
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What do you do when a student asks, “When am I ever going to use this?”
What do you do when a student asks, “When am I ever going to use this?”
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What do you do when a student says, “I’m just not a math person”?
What do you do when a student says, “I’m just not a math person”?
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What do you do to help struggling students succeed? What do you do to help struggling students succeed?
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Motivate Them!Motivate Them!
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Motivate them?This is easier said than done.
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HOW????HOW????
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Agenda Creed Introductions Giving/ Following
Directions Activity What is Algebra? How
does it look at the elementary school level?
What’s My Rule? Pattern Play Puzzling Patterns
Patterns of Penny Placement
Just the Facts Song Find the Missing Number How Fast Are We Going? Find Perimeter and Area
Using Straws and Fishing Line
Creed
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CreedI AM LARGER THAN LIFE
I WILL LEAD NOT FOLLOWI WILL BELIEVE NOT DOUBT
I WILL CREATE NOT DESTROYI AM A FORCE FOR GOODI WILL DEFY THE ODDS
I WILL SET A NEW STANDARDI WILL STEP UP
I AM WHAT I CHOOSE TO BEAND EVERY DAY,IN EVERY WAY,
I GET BETTER AND BETTER
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Introductions: Who are you? Think of an adjective that describes you.
Stand. Tell us your adjective, why you chose it, and briefly tell us about yourself.
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Giving/ Following Directions Do you give clear
instructions?
Are you able to follow directions?
In this activity, you will work with a partner (groups of 2).
Person 1 will give instructions. Person 2 will follow the given directives.
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What is Algebra?
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Algebraic ThinkingThe NCTM has constantly emphasized that beginning with the earliest grades, the curriculum should stress patterns (Bassarear, 2005). More specifically, students should be afforded opportunities to focus on recognizing, describing, and extending patterns.
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Algebraic Thinking
The NCTM also states that elementary teachers should have sufficient familiarity with the ideas of algebra so that their students will explore and develop, before they enter high school, the concepts and skills that are essential prerequisites to formal algebraic thinking .
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Patterns
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What’s My Rule? Activity
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What’s My Rule? Cut out shapes.
Create a pattern using the shapes.
Pair up with a partner. See can you figure out the rule for the pattern that your partner created.
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What’s My Rule? Discussion
Which patterns presented the least amount of challenge to figure out? Why?
Which patterns presented the greatest amount of challenge to figure out? Why?
Use/ Adapt for Use
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Pattern Play ActivityNoodlin’ With Numbers
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Pattern Play – Noodlin’ With Numbers
Pattern detectives everywhere, we need your help! A dreadful number villain is vandalizing our town. No number is safe from his evil clutches.
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Pattern Play – Noodlin’ With Numbers
This mysterious phantom is noodlin’ with our numbers and causing chaos in our town. You can imagine the confusion when highway 3 suddenly became highway 7 and the speed limit changed from 20 to 41 miles per hour within minutes. Addresses are being changed. The ice cream shop isn’t 127 Cedar Avenue anymore. It is now 255 Cedar Avenue.
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Pattern Play – Noodlin’ With Numbers
We’re stumped. Please help us solve this mystery. Do you see a pattern? Maybe if you can discover the pattern, we can save the next town.
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Pattern Play – School’s InThere are 20 fish in the “school.” There are three
different colors of fish – blue, green, and red. The school was lined up so that the pattern of fish was blue, blue, green, green, red, blue, blue, green, green, red…
What color is the last fish in the line? How many blue fish are in the school?
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Pattern Play – Pyramid of PenniesChin built a pyramid of pennies. He had one
penny on top. He had three pennies in the second row. He had five pennies in the third row and seven pennies in the fourth row.
How many pennies did he have in the 10th row? Which row had 27 pennies?
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Pattern Play? Discussion
Which patterns presented the least amount of challenge to figure out? Why?
Which patterns presented the greatest amount of challenge to figure out? Why?
Use/ Adapt for Use
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Puzzling Patterns
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Puzzling Patterns Look at the Hundred’s Chart.
What patterns do you see?
Record results on flip chart paper.
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1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
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Puzzling PatternsLet’s break the chart apart.
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Puzzling Patterns? Discussion
Which patterns presented the least amount of challenge to figure out? Why?
Which patterns presented the greatest amount of challenge to figure out? Why?
Use/ Adapt for Use
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Patterns of Penny Placement
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Just the Facts Song
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Find the Missing Number Activity
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Find the Missing Number Discussion
Use/ Adapt for Use
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How Fast Are We Going Activity
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How Fast Are We Going Discussion
Use/ Adapt for Use
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Find Perimeter and Area Activity
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Find Perimeter and Area Activity Discussion
Use/ Adapt for Use
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Wrap it Up
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IF A CHILD DOES NOT LEARN
THE WAY YOU TEACH,
TEACH
THE WAY THE CHILD LEARNS.
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CreedI AM LARGER THAN LIFE
I WILL LEAD NOT FOLLOWI WILL BELIEVE NOT DOUBT
I WILL CREATE NOT DESTROYI AM A FORCE FOR GOODI WILL DEFY THE ODDS
I WILL SET A NEW STANDARDI WILL STEP UP
I AM WHAT I CHOOSE TO BEAND EVERY DAY,IN EVERY WAY,
I GET BETTER AND BETTER
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Contact Info:[email protected]
This presentation can be found online at:http://eport2.cgc.maricopa.edu/published/s/wi/swift/collection/11/