math pathways 032414

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Common Core Math in Middle

School

March 24, 2014

Sunnyvale School District


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Agenda Overview

The New Common Core Standards and how

they have changed math at the middle school

New curriculum for middle school math

Preparing students for the Smarter Balanced

Assessment, SAT and beyond

Math Pathways to High School Courses


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1. Focus: More time on fewer topics2-3 topics focused on deeply in each grade

2. Coherence: Concepts logically connectedfrom one grade to the nextand linked to othermajor topics within the grade

3. Rigor: Fluency with arithmetic, application ofknowledge to real world situations, and deepunderstanding of mathematical concepts

Common Core State Standards

Common Core Shifts in Math

Focus, Coherence and Rigor


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Claim #1 - Students can explain and applymathematical concepts and carry out mathematicalprocedures with precision and fluency.

Claim #2 - Students can frame and solve a range of complex

problems in pure and applied mathematics.

Claim #3 - Students can clearly and precisely constructviable arguments to support their own reasoning and tocritique the reasoning of others.

Claim #4 - Students can analyze complex, real-worldscenarios and can use mathematical models to interpret andsolve problems.

Common Core State Standards Mathematics

Assessment Claims:What Students Must be Able to Do


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How do the CST and SBA

Test Items Differ?

CST5thGradeStudents perform calculations and solve problemsinvolving addition, subtraction, and simple multiplication

and division of fractions and decimalsSB Assessment5thGradeAdd, subtract, multiply and divide decimals to thehundredths using concrete models or drawings, and

strategies based on place value, properties of operations,and/or the relationship between addition andsubtraction; relate the strategy to a written method andexplain the reasoningused


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Algebra and Functions

Ellen had some change in her pocket. Afterher friend gave her$0.45, Ellen had $1.35altogether. Which equation can she usetofind the original amount of money, m, shehad in her pocket?A m+0.45=1.35B 1.35=m-0.45C m=1.35x0.45D m+1.35=0.45

COMPARE:

Sample CST Item Grade 6


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Sample SBA Item: Grade 6


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Grade 7 Sample Item: Integers

Students drag

and drop

expressionsonto the

number line


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Sample SBA Item: Grade 8


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Common Core = Increased Depth

of Knowledge


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Level 1: Recalling and Recognizing

Student is able to recall routine facts of

knowledge and can recognize shape, symbols,attributes and other qualities.

Level 2: Using Procedures

Student uses or applies procedures andtechniques to arrive at solutions or answers.

Depth of Knowledge (DOK)Low-Cognitive Demand


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Level 3: Explaining and ConcludingStudent reasons and derives conclusions. Student

explains reasoning and processes. Studentcommunicates procedures and findings.

Level 4: Making Connections, Extending

and JustifyingStudent makes connections between different conceptsand strands of mathematics. Extends and builds onknowledge to a situation to arrive at a conclusion.Students use reason and logic to prove and justifyconclusions.

Depth of Knowledge (DOK)High-Cognitive Demand


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Smarter Balanced Assessment Items

Depth of Knowledge (DOKs)

Mathematics ELA/LiteracyDOK3 DOK4 DOK3 DOK4

CSTs


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How will they score?

8thGrade

Geometry Total

MARS

At/Above

MARS

Below

CSTProf/Adv 96.1% 44.8% 51.3%

The Smarter Balanced Assessments are built off the MARS.

MARS assess conceptual understanding of mathematics.

Only 44.8% of 8th

grade Geometry students in Silicon ValleyMath Initiative 2012 have a deep understanding of the math.


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New SAT Coming Soon

Current

2400 points

Required essay

Analogies

Obscure vocabulary

Penalty for wrong answers

Many topics in math

1-2 questions per topic

Calculators permitted on all

Start Spring 2016

1600 points

Optional Essay

Evidence based reading andwriting from historicaldocuments such as the Billof Rights

Support answers with

evidence Calculators permitted on

some


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SAT ~ Reading & Writing

No longer will it be good enough to focus on

tricks and trying to eliminate answer choices.

We are not interested in students just picking

an answer, but justifying their answers.

David Coleman, President College Board


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The NEW SAT Math

there will be three areas of focus: problemsolving and data analysis,

1. ratios and percentages and proportional reasoning

used to solve problems in the real world;

2. the heart of algebra,which will test how well

students can work with linear equations;

3. what will be called the passport to advanced

math,

which will focus on the student

s familiaritywith complex equations or functionsand their

applications in science and social science.David Coleman, President College Board, NY Times March 9, 2014


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In Response to the SAT Changes . .

What this is is a clear message that good

hard work is going to pay off and achievement

is going to pay off. This is one of the most

significant developments that I have seen inthe 40-plus years that Ive been working in

admissions in higher education.

William Fitzsimmons, dean of admissions and financial aid at Harvard


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1. Focus: More time on fewer topics2-3 topics focused on deeply in each grade

2. Coherence: Concepts logically connected fromone grade to the next and linked to other major

topics within the grade

3. Rigor: Fluency with arithmetic, application ofknowledge to real world situations, and deep

understanding of mathematical concepts

Common Core State Standards

Common Core Shifts in Math


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Two Regular Sequences:

Tradi t ional Pathw ay

2 Algebra courses,1

Geometry course, with

Probability and Statistics

interwoven

Internat ional Pathw ay

3 courses that attend to

Algebra, Geometry, and

Probability and Statistics

each year

Courses in higher level mathematics: Precalculus,

Calculus*, Advanced Statistics, Discrete Mathematics,

Advanced Quantitative Reasoning, or courses designed

for career technical programs of study.

Algebra II

Geometry

High SchoolAlgebra I

Mathematics III

Mathematics

I

Mathematics II

Traditional PathwayTypical in U.S.

International PathwayTypical outside of U.S.

Two HS Mathematics Pathways


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The CCSS aremore rigorous

than the CA

standards

The CCSS math

content does not

spiral--so students

cannot skip over

years

Math 8

Math 7

Math 6

Common Core Middle School Math


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Math 8 CCSS contains

over halfof the

standards previously in

Algebra 1

Algebra 1 now contains

standards that were

previously in Algebra 2

CCSSM 8thGrade = HS Standards

Acceleration in middle school

now means completing

Common Core Algebra 1

CCSS Math 8


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It is incorrectto say that algebra

isn't covered until high school.

There is a great deal of algebra in

the 8th grade standards.

For example, students in grade 8

are expected to solve two

simultaneous equations with twounknowns. I don't see a lack of

rigor there.

The standards actually investheavily in algebra because of the

way they focus so strongly on the

prerequisites for algebra in the

elementary grades.

Jason Zimbaco-AuthorCCSSM


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Current Pathways

The acceleration decision

moved from after 5th to

after 6th.

Students recommended for

acceleration are offered apathway that compacts

CCSS Math 7, 8 and Algebra

Math 6Common Core

SBA in 7th

Math 7Common Core

Math 8

Common Core

9thGrade:Students are placed in Common Core Algebra I or Geometry or Algebra 2

based on high school placement criteria

Compacted

Math 7 & 8/

Compacted

Math /8 & Algebra

Start 2013-16


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What about Geometry?

Possible scenarios for 2015-16 school year: Extended learning time in the 8thgrade

year

A 2 period block of math in the 8thgrade

year (extended time would take the

place of an elective)

FUHSD 6-Week Summer Geometry after

8thgrade


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Addressing the Needs of all Learners

Flexible Grouping

Blended Learning

Teacher Specialization Math Enrichment

Math Intervention

Acceleration Pathways


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Next Steps

Exploring additional options for 6thgraders

Multiple access options

Operational feasibility

Impact on other classes

Board Meeting on May 1, 2014

Review and Discussion


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SSD Mission Statement

Sunnyvale School District

prepares all of our students with

a strong foundation of skills andknowledge to succeed in their

educational pursuits.


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Learn MoreWeb Resources

Common Core Smarter Balanced Sample Tasks

http://www.smarterbalanced.org/practice-test/

PTA Common Core Guide for Parents

http://www.pta.org/parents/content.cfm?ItemNumber=2583

Common Core Math Standards http://www.corestandards.org/Math/

CA Dept. of Ed. CCSS Website

http://www.cde.ca.gov/re/cc/ccssresourcesparents.asp
http://www.smarterbalanced.org/practice-test/http://www.pta.org/parents/content.cfm?ItemNumber=2583http://www.corestandards.org/Math/http://www.achievethecore.org/math-common-core/math-shifts/http://www.achievethecore.org/math-common-core/math-shifts/http://www.achievethecore.org/math-common-core/math-shifts/http://www.corestandards.org/Math/http://www.pta.org/parents/content.cfm?ItemNumber=2583http://www.smarterbalanced.org/practice-test/http://www.smarterbalanced.org/practice-test/http://www.smarterbalanced.org/practice-test/


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FAQs

Comment Cards

Questions/comments should be

written on your notecards andturned in. Please include a phone

number, email address and current

school site.

math pathways 032414

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