Transcript Integrating Common Core Math into CTE Courses 2012 CTE

Integrating Common Core Math
into CTE Courses
2012 CTE Summer Conference
Dr. Mary A. Steltz
Presenter
July 25, 2012
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Common Core State Standards for
Mathematics
“For over a decade, research studies of mathematics
education in high-performing countries have pointed to
the conclusion that the mathematics curriculum in the
United States must become substantially more focused
and coherent in order to improve mathematics
achievement in this country. To deliver on the promise of
common standards, the standards must address the
problem of a curriculum that is “a mile wide and an inch
deep.” These Standards are a substantial answer to that
challenge” (http://www.corestandards.org/thestandards/mathematics)
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Agenda
• Who Am I? Who are
you?
• Explanation of 8
Mathematical Practices
• Understanding the
Common Core Standards
• Purpose of Session
• Look at Mathematical
Vocabulary for Common
Core
• Discussion, Fears and
Anxiety about Common
Core Implementation
• Take Away Activities,
Strategies and Resources
• Assessment of Common
Core and how CTE can
help?
• Question and Answer
Session
• Contact Information
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Who Am I? Who Are You?
• Doctorate in Curriculum & Instruction from
GWU.
• Expansive training in Mathematics,
Literacy, Business Education, Classroom
Management, and Facilitative Leadership.
• 10-year teacher and resident of NC – from
Arkansas.
• Wife, mother and grandmother.
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Mathematical Practices
• Video:
http://www.youtube.com/watch?v=vJyZge
DeynM
• Understanding the Common Core
Mathematical Standards (handout)
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Purpose
• Implementation of Common Core
Standards for Mathematics in CTE
Courses
– What are the mathematical standards?
• http://www.corestandards.org/the-standards (p.58)
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Mathematics Vocabulary:
Middle School: 6th Grade
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Ratio
Unit rate
Tape diagram
Double number line
diagram
Percent
Greatest Common
Factor
Least Common
Multiple
Distributive Property
Integer
Positive Number
Negative Number
Opposite
Zero pair
Absolute value
Inequality
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Exponents
Term
Coefficient
Order of operations
Substitution
Dependent variable
Independent variable
Nets
Median
Mode
Range
Mean
Dot plot
Histogram
Box plot
Interquartile range
Mean absolute deviation
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Mathematics Vocabulary
Middle School: 7th Grade
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Proportion
Simple Interest
Tax
Markup
Markdown
Percent of increase
Percent of decrease
Gratuities
Commissions
Percent error
Additive inverse
Multiplicative inverse
Scale drawing
Plane sections
Circumference
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Supplementary angles
Complementary angles
Vertical angles
Adjacent angles
Surface area
Sample population
Random sampling
Variability
Probability
Frequency
Simple event
Compound events
Tree diagram
Simulation
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Mathematics Vocabulary
Middle School: 8th Grade
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Terminating decimal
Repeating decimal
Irrational number
Integer exponent
Square root
Cube root
Radical
Scientific notation
Slope
y-intercept
slope-intercept form
linear equation
like terms
simultaneous linear
equations
function
input
output
non-linear functions
rate of change
rotation
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Reflection
Translation
Congruent
Dilation
Similar figures
Transversal
Corresponding angles
Interior
Exterior
Pythagorean theorem
Cone volume formula
Cylinder volume
formula
Sphere volume
formula
Scatter plot
Outlier
Positive association
Negative association
Line of best fit
Bivariate measurement data
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Mathematics Vocabulary
High School: Number and Quantity
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Rational exponent
Complex number
Conjugate
Moduli
Imaginary number
Real number
Rectangular form
Polar form
Quadratic equation
Polynomial
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Fundamental theorem of Algebra
Vector
Initial point
Terminal point
Velocity
Parallelogram rule
Scalar multiplication
Matrices
Zero matrix
Identity matrix
Determinant
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Mathematics Vocabulary
High School: Algebra
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Complete the square
Maximum
Minimum
Exponential function
Geometric series
Remainder Theorem
Binomial Theorem
Pascal’s Triangle
Logarithmic Function
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Mathematics Vocabulary
High School: Functions
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Domain
Range
Function notation
Fibonacci sequence
Recursive process
Intercepts
Increasing intervals
Decreasing intervals
Positive intervals
Negative intervals
Relative maximum
Relative minimum
Symmetries
End behavior
Periodicity
Rate of change
Step function
Absolute value function
Asymptote
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Exponential function
Logarithmic function
Trigonometric function
Period
Midline
Amplitude
Exponential growth
Exponential decay
Constant function
Arithmetic sequence
Geometric sequence
Invertible function
Radian measure
Arc
Sine
Cosine
Tangent
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Mathematics Vocabulary
High School: Geometry
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Angle
Circle
Perpendicular lines
Parallel lines
Line segments
Point
Line
Arc
Rigid motion
Congruent
Angle-Side-Angle
(ASA)
Side-Angle-Side (SAS)
Side-Side-Side (SSS)
Inscribed
Scale factor
Dilation
AA similarity Theorem
Law of Sines
Law of Cosines
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Mathematics Vocabulary
High School: Statistics and Probability
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Dot plot
Histogram
Box plot
Interquartile range
Standard deviation
Outlier
Frequency table
Relative frequency
Joint relative frequency
Marginal relative frequency
Conditional relative frequency
Residuals
Correlation
Causation
Correlation coefficient
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Sample survey
Experiment
Observational studies
Margin of effort
Simulation models
Subsets
Unions
Intersections
Complements
Independent
Conditional probability
2-way frequency table
Addition Rule
Multiplication Rule
Permutations
Combinations
Theoretical probability
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Break Time
(5 minutes)
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Vocabulary Test Anyone???
• Define Polynomial
– www.spellingcity.com (specifically for
Common Core) review spelling, vocabulary,
create activities and exams; and create word
lists to help students learn or review
vocabulary.
• Other Resources
– www.mathwords.com
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WHY?
HOW?
Gaps in student knowledge between the current standard course of study and
common core will need to be addressed.
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http://www.youtube.com/watch?v=wtmZKy_XXVU
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CTE CAREER CLUSTERS (16)
http://www.dpi.state.nc.us/docs/cte/standards/2012cteessentialstandards.pdf
• Agriculture, Food &
Natural Resources
• Architecture &
Construction
• Arts, A/V Technology &
Communications
• Business Management &
Administration
• Education &Training
• Finance
• Government & Public
Administration
• Health Science
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Hospitality & Tourism
Human Services
Information Technology
Law, Public Safety,
Corrections & Security
Manufacturing
Marketing
Science, Technology,
Engineering &
Mathematics
Transportation,
Distribution & Logistics
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20th Century vs. 21st Century
20th Century Classrooms 21st Century Classrooms
Time-based
• Outcome-based
• Focus on memorization of
discrete facts
• Focus on what students KNOW,
CAN DO and ARE LIKE after all
the details are forgotten
• Lessons focus on lower level of
Bloom’s Taxonomy – knowledge,
comprehension and application
• Learning is designed on upper
levels of Bloom’s – synthesis,
analysis and evaluation
• Textbook-driven
• Passive learning
• Research-driven
• Active learning
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Take-Aways
• Know your Crosswalks and Plans
– http://www.ncpublicschools.org/acre/standards/comm
on-core-tools/#crmath
• Collaborate with core teachers’ curriculum,
vocabulary and word lists, teach thematic units,
plan pacing together and recommended novels
• Network with other counties
• Stay current and up-to-date
– Visit DPI website or Common Core website
– Surf other state’s websites about Common Core and
Essential Standards implementation
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Content-Specific Take Aways
• Computer Applications, Accounting – Use
Excel formulas to teach algebra,
PEMDAS, solving equations, etc.
• Principles of Business, Marketing – Teach
Simple Interest, Tax, Sales Commission,
Percent of Increase/Decrease
• FACS, Construction – Use cooking
measurements to teach measures,
fractions, decimals, and percents
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Activities and Strategies
• http://www.wordle.net/show/wrdl/4396395/
CommonCoreMath
• WORDO
• CLOCK BUDDIES
• PEER PARTNERS
• CONTENT FRAMES
• 4-3-2-1 STRATEGY
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Middle School Common Core
Assessment 2012-2013
• Non-calculator section first, and it will be
approximately 1/3 to 1/2 of the test
• Includes grid in response questions
• Designed for paper and pencil
administration, for now (technology
enhanced program later) Knox MS\6-8
Updates.pdf
• THIS YEAR
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High School Common Core Assessment
2012-2013
Year
2012-2013
Standards Taught
Standardized
Test(s)
Math 1 (NC)
2013-2014
Math 1
CCSS
**Geometry/Algebra 2
Same as above
Math 1 (NC)
2013-2014
Same as above
*Smarter Balanced Assessment Consortium
Math 1 (NC),
*SBAC after
junior year 25
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Resources
www.ncdpi.wikispaces.net
www.corestandards.org
www.brightstorm.com
www.studyjams.com
www.onlinemathlearning.com
www.mathwords.com
www.spellingcity.com
www.youtube.com
www.google.com
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Personal (Contact) Information
• Dr. Mary A. Steltz
– [email protected] or
– [email protected]
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10-year veteran with Rowan–Salisbury Schools
Undergraduate of HBCU – UAPB
Graduate School at UALR
Doctoral Program at GWU
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