1. 1 Integrating Common Core Math into CTE Courses 2012 CTE Summer Conference Dr. Mary A. Steltz Presenter July 25, 2012

2. 2 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/the- standards/mathematics)http://www.corestandards.org/the- standards/mathematics

3. 3 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

4. 4 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.

5. 5 Mathematical Practices Video: http://www.youtube.com/watch?v=vJyZge DeynM http://www.youtube.com/watch?v=vJyZge DeynM Understanding the Common Core Mathematical Standards (handout)

6. 6 Purpose Implementation of Common Core Standards for Mathematics in CTE Courses –What are the mathematical standards? http://www.corestandards.org/the-standards Implementation of Common Core Standards for Mathematics in CTE Courses –What are the mathematical standards? http://www.corestandards.org/the-standards Implementation of Common Core Standards for Mathematics in CTE Courses –What are the mathematical standards? http://www.corestandards.org/the-standards Implementation of Common Core Standards for Mathematics in CTE Courses –What are the mathematical standards? http://www.corestandards.org/the-standards (p.58)http://www.corestandards.org/the-standards

7. 7 Mathematics Vocabulary: Middle School: 6 th Grade 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 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

8. 8 Mathematics Vocabulary Middle School: 7 th Grade 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 Supplementary angles Complementary angles Vertical angles Adjacent angles Surface area Sample population Random sampling Variability Probability Frequency Simple event Compound events Tree diagram Simulation

9. 9 Mathematics Vocabulary Middle School: 8 th Grade 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 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

10. 10 Mathematics Vocabulary High School: Number and Quantity Fundamental theorem of Algebra Vector Initial point Terminal point Velocity Parallelogram rule Scalar multiplication Matrices Zero matrix Identity matrix Determinant Rational exponent Complex number Conjugate Moduli Imaginary number Real number Rectangular form Polar form Quadratic equation Polynomial

11. 11 Mathematics Vocabulary High School: Algebra Complete the square Maximum Minimum Exponential function Geometric series Remainder Theorem Binomial Theorem Pascal’s Triangle Logarithmic Function

12. 12 Mathematics Vocabulary High School: Functions 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 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

13. 13 Mathematics Vocabulary High School: Geometry 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

14. 14 Mathematics Vocabulary High School: Statistics and Probability 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 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

15. 15 Break Time (5 minutes)

16. 16 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.www.spellingcity.com Other Resources –www.mathwords.comwww.mathwords.com

17. 17 HOW? WHY? Gaps in student knowledge between the current standard course of study and common core will need to be addressed.

18. 18 http://www.youtube.com/watch?v=wtmZKy_XXVU

19. 19 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 Hospitality & Tourism Human Services Information Technology Law, Public Safety, Corrections & Security Manufacturing Marketing Science, Technology, Engineering & Mathematics Transportation, Distribution & Logistics

20. 20 20 th Century vs. 21 st Century 20 th Century Classrooms 21 st 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 Research-driven Passive learning Active learning

21. 21 Take-Aways Know your Crosswalks and Plans –http://www.ncpublicschools.org/acre/standards/comm on-core-tools/#crmathhttp://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

22. 22 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

23. 23 Activities and Strategies http://www.wordle.net/show/wrdl/4396395/ CommonCoreMathhttp://www.wordle.net/show/wrdl/4396395/ CommonCoreMathhttp://www.wordle.net/show/wrdl/4396395/ CommonCoreMathhttp://www.wordle.net/show/wrdl/4396395/ CommonCoreMath WORDOWORDO CLOCK BUDDIESCLOCK BUDDIES PEER PARTNERSPEER PARTNERS CONTENT FRAMESCONTENT FRAMES 4-3-2-1 STRATEGY4-3-2-1 STRATEGY

24. 24 Middle School Common Core Assessment 2012-2013 Non-calculator section first, and it will be approximately 1/3 to 1/2 of the testNon-calculator section first, and it will be approximately 1/3 to 1/2 of the test Includes grid in response questionsIncludes grid in response questions Designed for paper and pencil administration, for now (technology enhanced program later) Knox MS\6-8 Updates.pdfDesigned for paper and pencil administration, for now (technology enhanced program later) Knox MS\6-8 Updates.pdfKnox MS\6-8 Updates.pdfKnox MS\6-8 Updates.pdf THIS YEARTHIS YEAR

25. 25 High School Common Core Assessment 2012-2013 YearStandards TaughtStandardized Test(s) 2012-2013 Math 1 CCSS **Geometry/Algebra 2 Math 1 (NC) 2013-2014Same as aboveMath 1 (NC) 2013-2014Same as aboveMath 1 (NC), *SBAC after junior year *Smarter Balanced Assessment Consortium

26. 26

27. 27 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

28. 28 Personal (Contact) Information Dr. Mary A. Steltz –steltzma@rss.k12.nc.us orsteltzma@rss.k12.nc.us –psychdr68@gmail.compsychdr68@gmail.com 10-year veteran with Rowan–Salisbury Schools Undergraduate of HBCU – UAPB Graduate School at UALR Doctoral Program at GWU