simplify! a successful approach for teaching developmental math 2009 amatyc conference las vegas, nv...
TRANSCRIPT
![Page 1: Simplify! A Successful Approach for Teaching Developmental Math 2009 AMATYC Conference Las Vegas, NV Presented by: Cindy Alder & Tammy German Snow College](https://reader035.vdocuments.mx/reader035/viewer/2022062511/5518b950550346881f8b52a7/html5/thumbnails/1.jpg)
Simplify! A Successful Approach for Teaching
Developmental Math2009 AMATYC Conference
Las Vegas, NV
Presented by:Cindy Alder &
Tammy German
Snow College - Ephraim, Utah www.snow.edu/math
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Who are your students?
Snow College - Ephraim, Utah www.snow.edu/math
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Developmental Students
• Capable students who have simply fallen behind.
• Students that have a specific weakness in mathematics.
• Students with severe math anxiety.
• Students that are motivated, but are deficient in generalized learning skills as well as math-specific skills.
• Students with who have documented learning disabilities, some in multiple areas including mathematical abilities, learning skills, motivation, organizational skills, and others.
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Expectations for Developmental Students• As instructors, we need to be very clear with
our students about our expectations of them for our class.
• Students are ultimately responsible for their own success.
• There are some things students just need to memorize. Multiplication Facts Vocabulary Order of Operation Rules Rules of Exponents etc.
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Catch Phrases & Stories
Snow College - Ephraim, Utah www.snow.edu/math
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Catch Phrases & Stories
• We have found that catch phrases and stories help our students memorize, recall, and retain important mathematical concepts. PE(r)MDAS – Please Excuse(r) My Dear Aunt Sally
Slope Story• Positive on the way up, negative on the way
down, zero on the horizontal, and none (die) on the vertical.
Addition & Subtraction of Integers –walk numbers off on a number line.
Division • Int0 Zero• By Zero
00
0
Nundefined
K
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Catch Phrases & Stories
Plotting Points – Battleship Changing Percents to Decimals and Decimals to
Percents (Alphabet) Commutative Properties & Associative Properties
(commute – in a community people move around, or commute. Your best friend is always your best friend even if you associate with other people)
Greatest Common Factor – Group of Common Terms & Least Common Multiple – include Leftovers.
Simplifying Radicals – Dating Story Solving Equations – Balance Quadratic Formula Song (tune of Pop Goes the Weasel)
D P D P
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Catch Phrases & Stories
D = rt (Dentist = Rotten teeth) Negative Exponents – to have a positive
experience, they must move upstairs or downstairs. Simplifying rational exponents – flower power Inequalities – Alligator Mouth Denominator – Down Factoring sum and difference of cubes. (match the
sign, change the sign, plus, plus) Dividing Fractions - Copy Dot Flip Parabolas
+ + – –
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Make it Visual
Snow College - Ephraim, Utah www.snow.edu/math
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Make it Visual
• Venn Diagrams for Finding GCF & LCM Find the GCF and LCM of 12 and 54.
Factors of
122
32
54
3
3
GCF 2 3 6 LCM 2 2 3 3 3 108
GCF
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2 2 3 5 2 3 3 3
Make it Visual
• Long Bar for Simplifying Fractions
60
54
1
1
1
1
2 5
3 3
10
9
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CATCH PHRASE BREAK!!
Snow College - Ephraim, Utah www.snow.edu/math
Radical Dating
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Simplify:Keep it One
Way
Snow College - Ephraim, Utah www.snow.edu/math
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17 12
3x
1 2 32
2 3
y y
2
2 4 2
1 1 1
x
x x x
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Keep it One Way
• The “Wipe-Out” Method for Solving Equations that contain fractions. Conditions:
• You must have an equal sign (=). In other words, you must be working with an equation not an expression.
• You must have a common denominator on each and every term in the equation.
1 2 32
2 3
y y
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1 2 3 2
2 3 1
y y
1 2 3 2
2 3 1
y y
3
3
2
2
6
6
3 1 2 2 3 12
6 6 6
y y
WIPE OUT
3 1 2 2 3 12y y
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3 1 2 2 3 12y y
3 3y
3 12y 33
15y 1 1
15y
4 6y 12
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CATCH PHRASE BREAK!!
Snow College - Ephraim, Utah www.snow.edu/math
Pop Goes the Quadratic
Formula
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2 9 20x x
2 6 9x x
26 7 2x x
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Keep it One Way
• Factoring Trinomials.
26 7 2x x 26 2x 3 4x x
3x 2 1x 2 2 1x
2 1x 3 2x
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CATCH PHRASE BREAK!!
Snow College - Ephraim, Utah www.snow.edu/math
Snow Skiing on the Slopes
of Utah
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Other Ideas & In-Class Testing
Snow College - Ephraim, Utah www.snow.edu/math
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Other Ideas
• 3x5 Notecards
• Mathematics Journals
• Graphic Organizers
• In-class Group Testing
• Student Presentations
• Games to reinforce concepts (Bingo, Jeopardy, etc.)
• Technology
• Teach Test Taking Strategies
• Test Corrections (explain why you missed it and rework it correctly.)
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In Class Group Testing
• Students learn to work with others.
• Students build confidence.
• Students are able to determine what they know and what they don’t know, with a safety zone.
• Students are able to defend their answers with reasons.
• Students are better prepared for a personal test, than with a traditional review.
• Students speak the language of mathematics.
• Teacher have the opportunity to see what students know by listening.
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Snow College - Ephraim, Utah www.snow.edu/math
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Snow College - Ephraim, Utah www.snow.edu/math