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Manhass asset et K-12 12 Math thematic matics

Presentation to the Board of Education November 21, 2013

 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?

Manhasset K-12 Mathematics Tonight’s Presentation will Address:

 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

What are the Common Core State Standards?

2011 TIMSS - Trends in International Mathematics and Science Study 2011 NAEP – National Assessment of Educational Progress

How US States Stacked Up Against Counties from Around the World in Math & Science

(35 states outperformed the int’l average (500) in math and 46 in science) A major factor in the creation

• f a common

set of national standards was the desire to be comparable and competitive internationally.

TIMSS & NAEP ASSESSMENTS

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

Common Core in Mathematics

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.

CC St Standar dards: ds: The Mathemat matical ical Practices ctices

NYS Common Core Learning Standards in Mathematics (Sample Gr 7)

(Note the “Practices” are Embedded in the Standards)

Ratios and Proportional Relationships

• Analyze proportional relationships and

use them to solve real-world and mathematical problems The Number System

• Apply and extend previous

understandings of operations with fractions to add, subtract, multiply, and divide rational numbers Expressions and Equations

• Use properties of operations to

generate equivalent expressions

• Solve real-life and mathematical

problems using numerical and algebraic expressions and equations Geometry

• Draw, construct and describe geometrical

figures and describe the relationships between them

• Solve real-life and mathematical problems

involving angle measure, area, surface area, and volume Statistics and Probability

• Use random sampling to draw inferences

about a population

• Draw informal comparative inferences

about two populations

• Investigate chance processes and

develop, use, and evaluate probability models

What’s Shifting? What You’ll Notice

9

 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.

The Progression of the Common Core State Standards

 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

11

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.

Manhasset Mathematics K – 6

12

2013-14 Current School Year

Grades K – 3: Math in Focus Grades 4 – 6: GO Math

Manhasset Mathematics K – 6

 A tool

• l used by students to justify and guide them through the

thinking process  Make ke sense se of word d prob

• blem

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

• nships

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.

What is Model Drawing?

$1950 Computer Television $1950 $250

?

$250

?

Computation:

• a. $1,950 + $250 =

$2,200

• b. $2,200 + $1,950 =

$4,150 The television costs $2,200. Both items cost $4,150 combined.

$2,200

Sample: 3rd Grade Math in Focus Problem

Sample: 4th Grade Go Math Problem

Evan’s Dog Oxana’s Dog n n n n n n n n

72

Computation: a) 8 x n = 72 n = 9

Evan’s dog weighs 63 pounds.

b) 9 x 7 = 63

 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 7th 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.

Middle School CC Mathematics

Sample Questions From 7th Grade Common Core Using Model Drawing

Sample Questions From 7th Grade Common Core

Emphases on Rigor and Mathematical Language

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.”

High School CC Mathematics

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 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?

Algebraically: Woman’s Age: x Son’s Age: y x + y = 51 x - 3 = 8(y - 3) x - 3 = 8y - 24 +3 +3 x = 8y - 21

• 8y -8y

x - 8y = -21 x + y = 51 x - 8y = -21 8( ) 8x + 8y = 408 x - 8y = -21 = 43 = 8

Son's Age is 8.

Common Core Algebra Problem Solved Traditionally

1) Common Core Regents Exam - Tuesday, June 3, 2014

17 days later, 9 instructional days later

2) Integrated Algebra Regents - Friday, June 20, 2014

June 2014 – Two Algebra Regents

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

• f 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 8th grade algebra students to be excused from the NYS Math 8 Assessment

Assessments for Eighth-Grade Algebra Students June 2014

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

http://www.manhasset.k12.ny.us/webpages/ccal gebra/

Common Core Algebra Website

Manhass asset et K-12 12 Math thematic matics

Presentation to the Board of Education November 21, 2013