Manhass asset et K-12 12 Math thematic matics Presentation to - PowerPoint PPT Presentation

Manhass asset et K-12 12 Math thematic matics Presentation to the Board of Education November 21, 2013

Manhasset K-12 Mathematics Tonight’s Presentation will Address:  What is the Common Core (CC)?  What is CC Mathematics?  What’s the difference between math programs from the past and CC-aligned math programs?  What does it mean for students?  How does Manhasset address CC math programs?  How can I best support my child with their math work?

What are the Common Core State Standards?  State-led effort coordinated by the Council of Chief State School officers & the National Governors Association  Goal: To provide a single set of clear and consistent educational standards in math and English language arts that states can share and voluntarily adopt: What should all students know and be able to do in English language arts and mathematics, pre-K through 12?  To help our students perform at consistently high levels from school to school, district-to-district and state-to-state  To better prepare our students and country to compete globally and for all our students to be College or Career Ready

A major factor TIMSS & NAEP ASSESSMENTS in the creation of a common set of national How US States Stacked Up Against standards was the desire to be Counties from Around the World in Math & Science comparable and (35 s tates outperformed the int’l average (500) in math and 46 in science) competitive internationally. 2011 TIMSS - Trends in International Mathematics and Science Study 2011 NAEP – National Assessment of Educational Progress

Common Core in Mathematics How Does CC Mathematics Differ from the Past?  A set mathematical practices K-12  A set of mathematical standards (expectations) at each grade level (more rigor with each grade)  Fewer, more central standards, building core understandings and linking mathematical concepts to real-world skills  Moving away from the traditional, “A mile wide, and an inch deep” curriculum and mode of instruction  Schools and districts continue to determine the curriculum

CC St Standar dards: ds: The Mathemat matical ical Practices ctices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.

NYS Common Core Learning Standards in Mathematics (Sample Gr 7) (Note the “Practices” are Embedded in the Standards) Ratios and Proportional Relationships Geometry • Analyze proportional relationships and • Draw, construct and describe geometrical use them to solve real-world and figures and describe the relationships mathematical problems between them The Number System • Solve real-life and mathematical problems • Apply and extend previous involving angle measure, area, surface understandings of operations with area, and volume fractions to add, subtract, multiply, and divide rational numbers Statistics and Probability • Use random sampling to draw inferences Expressions and Equations about a population • Use properties of operations to • Draw informal comparative inferences generate equivalent expressions about two populations • Solve real-life and mathematical • Investigate chance processes and problems using numerical and algebraic develop, use, and evaluate probability expressions and equations models

What’s Shifting? What You’ll Notice

The Progression of the Common Core State Standards  June 2009 – work begins on the CCSS by the Council of Chief State School Officers and the National Governors Association Center for Best Practices  June 2010 – CCSS are released  July 2010 – NYS adoption of the Common Core State Standards – to date 45 states have adopted CCSS  2011-12 School Year – schools develop curricula aligned to CCSS.  2012-13 School Year – CCSS are implemented in grades 3 – 8.  2013-14 School Year – CCSS are implemented in grade 9. 9

Manhasset Mathematics K – 6  EveryDay Mathematics was a rigorous math program that served Manhasset well over the past 12 years. However, the philosophy behind this spiraling program was not in line with the Common Core State Standards.  Thus, Manhasset began to research new elementary math programs.

Manhasset Mathematics K – 6 After an extensive search, Manhasset decided to implement 2 new elementary math programs during the 2012-13 school year:  Grades K – 2: Math in Focus  Grades 3 – 6: GO Math In each subsequent year, the next grade level will move to Math in Focus. Both GO Math and Math in Focus are aligned to the CCSS, and are appropriate for Manhasset students. However, the Math in Focus program was more rigorous, and provides all students with strategies to help them become better mathematicians. 11

Manhasset Mathematics K – 6 2013-14 Current School Year  Grades K – 3: Math in Focus  Grades 4 – 6: GO Math 12

What is Model Drawing?  A tool ol used by students to justify and guide them through the thinking process  Make ke sense se of word d prob oblem lems s using a pictorial representation as a visual.  Systema stemati tic c approac proach h in helping students transition from concrete to abstract.  Reco cogni gnize ze number ber rel elat ationshi onships ps between known and unknown quantities using pictures.  Brid idges es gap p between simple word problems to complex multi- step problems from arithmetic to algebra.

Sample: 3 rd Grade Math in Focus Problem Computation: a. $1,950 + $250 = $2,200 ? b. $2,200 + $1,950 = $4,150 $2,200 $1950 $250 The television costs Television ? $2,200. $250 $1950 Computer Both items cost $4,150 combined.

Sample: 4 th Grade Go Math Problem Computation: n n n n n n n Evan’s Dog a ) 8 x n = 72 72 n = 9 n Oxana’s Dog b) 9 x 7 = 63 Evan’s dog weighs 63 pounds.

Middle School CC Mathematics  During the 2011-12 school year, middle school math teachers examined the Common Core State Standards in Math and modified their curriculum.  The CCSS in Math and ELA were mandated for implementation during the 2012-13 school year.  NYSED provided the Module 1 for 7 th grade math on May 14, 2013, and Module 2 on September 25, 2013.  After examining each module, the middle school math teachers felt their revisions were very closely aligned.

Sample Questions From 7 th Grade Common Core Using Model Drawing

Sample Questions From 7 th Grade Common Core Emphases on Rigor and Mathematical Language

High School CC Mathematics 2013-14 School Year – CCSS are implemented in grade 9. Common Core Algebra “ The fundamental purpose of this course is to formalize and extend the mathematic that students learned in the middle grades. Because it is built on the middle grades standards, this is a more ambitious version of Algebra I than has generally been offered.”

High School CC Mathematics Modeling “Modeling links classroom mathematics and statistics to everyday life, work, and decision-making. Modeling is the process of choosing and using appropriate mathematics and statistics to analyze empirical situations, to understand them better, and to improve decisions.”

Common Core Algebra Problem Solved Using a Tape Diagram (Bar Model) The total age of a woman and her son is 51 years. Three years ago, the woman was eight times as old as her son. How old is her son now? Woman’s Age: Son’s Age: The 2 shaded areas are in the ratio of 8 to 1.

Common Core Algebra Problem Solved Using a Tape Diagram (Bar Model) The total age of a woman and her son is 51 years. Three years ago, the woman was eight times as old as her son. How old is her son now? Woman’s Age: Son’s Age: 8x + 3 + x + 3 = 51 9x + 6 = 51 -6 -6 9x = 45 x = 5

Common Core Algebra Problem Solved Traditionally The total age of a woman and her son is 51 years. Three years ago, the woman was eight times as old as her son. How old is her son now? Son's Age is 8. Algebraically: Woman’s Age: x = 43 Son’s Age: y = 8 x + y = 51 8( ) x + y = 51 x - 3 = 8(y - 3) x - 8y = -21 x - 3 = 8y - 24 8x + 8y = 408 x - 8y = -21 +3 +3 x = 8y - 21 -8y -8y x - 8y = -21

June 2014 – Two Algebra Regents 1) Common Core Regents Exam - Tuesday, June 3, 2014 17 days later, 9 instructional days later 2) Integrated Algebra Regents - Friday, June 20, 2014

Assessments for Eighth-Grade Algebra Students June 2014 1) NYS Math 8 Assessment* - End of April, 2104 2) Common Core Algebra Regents - Tuesday, June 3, 2014 17 days later, 9 instructional days later 3) Integrated Algebra Regents - Friday, June 20, 2014 Note: We anticipate our students will take both Algebra Regents exams. The higher of the two scores will be reported for transcript purposes. * The NY State Education Department has submitted a waiver to the Federal Gov’t to allow 8 th grade algebra students to be excused from the NYS Math 8 Assessment

Support for Common Core Algebra Students  Math Lab  Homework Recitation  Common Core Algebra Videos

Common Core Algebra Website http://www.manhasset.k12.ny.us/webpages/ccal gebra/