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S Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

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Page 1: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

S

Algebra 1When are students really

ready for the course?

Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Page 2: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

http://www.youtube.com/watch?v=TZjRJeWfVtY&safety_mode=true&persist_safety_mode=1

Page 3: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Moral Imperative for Career Readiness

Through 2014, half of the new jobs will require some form of a college education with a higher percentage in later years.

The math and reading skills needed by plumbers, electricians, carpenters and machinists are the same skills students need to be successful in college.

Recent polls of 18 to 24 years olds indicated that 67% of recent graduates with a high school degree or less were unemployed compared to 33% of students with postsecondary education.

Page 4: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

EdSource

Research

2010-11

Page 5: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Dramatic Change in Algebra 1 Participation & Performance among

CA’s 8th graders

Page 6: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

“Expectations Gap”

“Across the nation there is an “expectations gap,” a disconnect between what students need to know to earn a high school diploma and what they need to know to be successful in college and careers. In many ways, the Common Core State Standards (CCSS) aim to help close this gap, as they are anchored in college- and career-ready expectations and were designed to ensure all students progress to the college- and career-ready level by the end of high school.”

Achieve, p. 6

Page 8: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Common Core Paradigm Shift

Page 9: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Mathematical Practices

Within the Common Core State Standards, these 8 practices are included for Kindergarten through Grade 12.

These practices describe the habits of mind of a mathematically expert student.

Assessments will check students’ abilities with these practices.

Page 10: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together
Page 11: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Common Core Options at 8th Grade

CA Common Core Grade 8 Math

Algebra 1

Page 12: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

CA Common Core Grade 8 Math

This is NEW curriculum designed for 8th grade Common Core.

This course is designed with the skills & content to prepare students for a successful transition to Algebra I in 9th grade.

Helps to set students up for success in all of high school math.

Page 13: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together
Page 14: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

6th 7th 8th High School*

Ratios & Proportional Relationships

The Number System Number & Quantity

Expression & Equations Algebra

Functions Functions

Geometry Geometry

Statistics & Probability Statistics & Probability

Modeling

Domains 6th – High School

14

*Arranged by conceptual cluster (NOT by course)

Page 15: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Two Pathways for College Readiness

Colleges look for students to have taken Algebra 2 in 11th grade.

Research shows that success in Algebra 2 is the gateway to success in college.

Three years of high school math is required by most colleges & universities.

GRADE 8 GRADE 9 GRADE 10 GRADE 11 GRADE 12

Grade 8 Math

Algebra 1 Geometry Algebra 2 Pre-Calculus or Statistics

Algebra 1 Geometry Algebra 2 Pre-Calculus or Statistics

Calculus or Statistics

Page 16: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

- Achieve (2008)

Page 17: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

A-G RequirementsHigh School Requirements to Be

Considered for UC/CSU

A. History = 2 years

B. English = 4 years

C. Math – 3 years required, 4 years recommended

D. Laboratory Science = 2 years required, 3 years recommended

E. Language Other Than English – 2 years required, 3 years recommended

F. Visual & Performing Arts = 1 year required

G. College Prep Elective = 1 year required

Must have a “C” or

higher to meet the requirem

ent.

Page 18: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Course Content Mastery

For students to be successful as they move through math courses, they need to acquire a good understanding of the content each year.

Students who are not successful in one course will struggle in other math courses that follow.

The CSU System has identified middle and high school students who score Advanced and the top ½ of Proficient on state tests as likely to not need remediation for math in college.

GRADE 8 GRADE 9 GRADE 10 GRADE 11 GRADE 12

Grade 8 Math Algebra 1 Geometry Algebra 2 Pre-Calculus or Statistics

Algebra 1 Geometry Algebra 2 Pre-Calculus or Statistics

Calculus or Statistics

Page 19: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

REACH HIGHER Shasta Goal tied to Algebra 1

By the end of 9th grade 100% of students will successfully pass Algebra 1 as evidenced by scoring proficient or advanced on the STAR CST and acquiring a grade of C or better in the course.

Page 20: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

S

So what does our data tell us about

our current success with Grade 8 math?

A Review of Shasta County Data

Page 21: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Shasta County Algebra 1 Enrollment in Grade 8

2004

-05

2005

-06

2006

-07

2007

-08

2008

-09

2009

-10

2010

-11

40%45%50%55%60%65%

Percent of Students Enrolled

School Year

Percent of Students Enrolled

2004-05 46%2005-06 48%2006-07 52%2007-08 55%2008-09 53%2009-10 56%2010-11 61%

Page 22: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

2005 2006 2007 2008 2009 2010 20110%

10%20%30%40%50%60%70%80%90%

100%

34

% 40

%

38

% 42

%

44

%

46

%

47

%

35

%

38

%

37

%

40

%

43

% 47

%

45

%

California Shasta County

CST ResultsPercent of Students Proficient or Advanced

Algebra 1 - Grade 8, Spring 2011In 2011, 1221 students took Algebra 1 in

Grade 8. Only 549 scored

either Proficient or Advanced.

Page 23: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Far Below Basic

Below Basic Basic Proficient Advanced0%

10%20%30%40%50%60%70%80%90%

100%

8%

22%27%

32%

11%5%

20%

28%

34%

13%

6%

22%27%

33%

12%

2009 2010 2011

CST Results - Algebra 1Percent of Students by Proficiency Band

Shasta County – 8th gradersMathematics – Spring 2011

55% of students who

took the Algebra 1

course as 8th graders last year did not

meet the standard of Proficient or Advanced.

Page 24: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Percent of Enrollment in Algebra 1

(table format)

2008 2009 2010 2011

Grade 8 55% 53% 56% 61%

Grade 9 43% 45% 46% 45%

Grade 10 27% 30% 30% 29%

Grade 11 16% 12% 15% 14%

Page 25: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Percent of Enrollment in Algebra 1

(graph format)

Grade 8 Grade 9 Grade 10 Grade 110%

10%

20%

30%

40%

50%

60%

70%

2008200920102011

Page 26: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

2005 2006 2007 2008 2009 2010 20110%

10%20%30%40%50%60%70%80%90%

100%

26

%

26

%

24

%

24

%

26

%

27

% 31

%35

%

31

%

27

%

28

% 31

%

28

% 36

%

California Shasta County

CST ResultsPercent of Students Proficient or Advanced

Geometry, Spring 2011

Page 27: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Far Below Basic

Below Basic Basic Proficient Advanced0%

10%20%30%40%50%60%70%80%90%

100%

10%

31%29%

24%

7%9%

30%34%

22%

6%8%

26%31%

27%

9%

2009 2010 2011

CST Results - GeometryPercent of Students by Proficiency Band

Shasta County Students ~ Spring 20111,768

students were tested

in 2011.

636 students were

Proficient or Advanced.

Page 28: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

CST ResultsPercent of Students Proficient or Advanced

Algebra II – Spring 2011

2005 2006 2007 2008 2009 2010 20110%

10%20%30%40%50%60%70%80%90%

100%

26

%

25

%

27

%

27

%

28

%

31

%

33

%

25

%

23

%

26

%

26

%

24

% 29

% 32

%

California Shasta County

Page 29: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Far Below Basic

Below Basic Basic Proficient Advanced0%

10%20%30%40%50%60%70%80%90%

100%

12%

29%

36%

20%

4%8%

24%

39%

23%

6%7%

24%

38%

23%

9%

2009 2010 2011

CST Results - Algebra IIPercent of Students by Proficiency Band

Shasta County Students Spring 20111,043 high

school students

were tested in 2011.

334 students were

Proficient or Advanced.

Page 30: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Shasta CollegeTransfer Rate

Summary of 18-19 year old students included in the cohort (2003-2004 school year):

Total number in cohort = 439 students

Transferred within 2 years = 18 students (4%)

Transferred within 3 years = 66 students (15%)

Transferred within 4 years = 102 students (23%)

Transferred within 5 years = 125 students (28%)

Transferred within 6 years = 137 students (31%)

Remediation Rate for Shasta College: 91% Math, 67% ELA

Page 31: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Dropout Rate

2007-08 2008-09 2009-100.00%

5.00%

10.00%

15.00%

20.00%

25.00%

Shasta County Dropout RateCalifornia Dropout Rate

Page 32: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

S

EdSource Research Report Findings

2011 Reports

Page 33: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Conclusions Based on Findings

“Placement in Algebra 1 in grade 8 for the state’s most prepared students appears to have served them well.”

“A ‘one size fits all’ approach of placing all 8th graders into Algebra I, regardless of their preparations, sets up many students to fail.”

“A multifactoral approach to deciding placements in grades 7 and 8 was associated with higher achievement”.

Take students’ prior CST scores into account when placing students into courses for 8th grade.EdSource Policy Brief “Needed: Careful evaluation of Algebra 1 placements in grade 8” May 2011

Page 34: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Importance of Placement Criteria for Algebra 1

“Careful placement into an appropriate math course in 8th grade – whether Algebra 1 or not – is essential to ensure that all 8th graders are not only challenged, but also have a meaningful chance of success.”

“Placing all students into Algebra 1 in 8th grade regardless of their prior achievement sets up many students to fail.”

EdSource Issue Brief: “California’s Math Pipeline: The Grade 7 Pivot Point” September 2011

Page 35: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Importance of Placement Criteria for Algebra 1

In higher-performing schools, “math teachers report the school considers a wide range of factors in placing students into general math classes in grades 7 and 8, including: explicit criteria set by the school; Scores on a placement or basic skills test; Teacher recommendation; Prior student academic performance; Student CST scores; A review by the schools’ lead math teachers;

and A review by an administrative team to ensure

the widest appropriate access for all students.”

EdSource, “Gaining Grounds in the Middle Grades: Why Some Schools Do Better” Feb. 2010

Page 36: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

The EdSource StatisticsCST Results for California

Page 37: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Key Role of Algebra 1 Success

“Algebra 1 functions as the gateway to more advanced math and science coursework.”

“Where students stand at the end of 7th grade determines how quickly and successfully they get through that gateway.”

EdSource Issue Brief: “California’s Math Pipeline: The Grade 7 Pivot Point” September 2011

Page 38: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Far Below Basic

Below Basic Basic Proficient Advanced0%

10%20%30%40%50%60%70%80%90%

100%

6%

18%

33%27%

16%

5%

14%

30%36%

16%

3%

17%

30%34%

16%

2009 2010 2011

CST Results - Grade 7 MathPercent of Students by Proficiency Band

Shasta County Results

Page 39: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

CST Results - Grade 7Percent of Students by Proficiency BandOur District’s Current Algebra 1 Students

Mathematics – Spring 2011

Percent of 7th Graders Currently Enrolled in Algebra 10%

10%20%30%40%50%60%70%80%90%

100%

Far Below Basic Below Basic BasicLow Proficient High Proficient Advanced

Page 40: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Early Success is the Key

“Achievement gaps that exist in 2nd grade are foreshadowed at kindergarten entry.”

“Students that were higher achieving in math in 2nd grade were still ahead 5 years later.”

To be successful, students need to master mathematical vocabulary tied to each grade level’s standards as well as the key standards.

EdSource Issue Brief, “California’s Math Pipeline: Success Begins Early” July 2011

Page 41: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

• An average child will make five years language and pre-literacy growth in the first five years. He will start the race at grade level (green).

• Some will make only four years of growth in the first five years of life, starting Kindergarten a year behind (yellow).

• Others make three years of growth, or two years behind at the start of kindergarten (orange).

• Still others make only two years of pre-literacy and language growth before kindergarten (red). These kids START kindergarten three years behind.

• Some kids could make six years of growth in the first five years, starting kinder one year ahead (blue).

• Some could make seven years of growth before kinder in five years, or two years ahead (dark blue).

Page 42: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

3 milesBEHIND

2 milesBEHIND

1 mileBEHIND

START! 1 mileAHEAD

2 milesAHEA

D

Our Students and the Race…

Almost no one realizes that the students that start behind in

kindergarten run just as far,

just as fast,

and in the same amount of time

as those who started ahead…

Page 43: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Children’s vocabulary in kindergarten is highly correlated with their 10th grade reading

scores…

Academic skill level on the first day of school has a huge impact on the rest of a child’s life…

If a third grade child is reading at the 40th percentile, to catch-up, he will need to make three years of normal growth plus two extra

years of catch-up growth over three years to be at grade level by 6th grade...

The starting point matters most…

Page 44: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Math Interventions in Placein our District (Gr. K-5)

Page 45: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

S

Work being done in Shasta County

2011 – 2012 School Year

Page 46: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Shasta County Math Task Force

The Math Task Force is under the direction of Chris Dell, Director of K-12 Mathematics & Judy Flores, Assistant Superintendent of Instructional Services.

Members are from 23 districts in Shasta County.

Every high school has at least one math teacher participating.

30 math teachers have committed to being involved.

Support for substitutes is coming through the new Gear Up Grant.

Page 47: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Shasta County Math Task ForceGoals

To have common criteria for identifying students who are ready for Algebra I across the county. (2011-12 goal) Assessment Other criteria: teacher recommendation, prior 2 years’ CST

scores

To develop county-wide consistency in expectations for students in the CA Common Core Grade 8 Math course (2011-12 goal).

To develop consistency county-wide in expectations for students in all Algebra I courses: 8th & 9th grades (2012-13 goal).

Page 48: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Shasta County Math Task Force Goal 1

To have common criteria for identifying students who are ready for Algebra I across the county.

Page 49: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Algebra 1 Readiness Criteria3 Steps

1. Initial Placement

CST Scores of Proficient or Advanced from: Grade 5 Grade 6

Teacher Input on Effort

2. Secondary Placement

3. Final Placement

Page 50: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Far Below Basic

Below Basic Basic Proficient Advanced0%

10%20%30%40%50%60%70%80%90%

100%

5%

17%

25%

33%

20%

4%

16%22%

35%

24%

4%

13%

23%

32% 29%

2009 2010 2011

CST Results - Grade 5 MathPercent of Students by Proficiency Band

Shasta County - Spring 2011 1,927 students

were tested in 2010.

1137 students

(59%) were Proficient or Advanced.

Page 51: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Far Below Basic

Below Basic Basic Proficient Advanced0%

10%20%30%40%50%60%70%80%90%

100%

5%

16%

29% 32%

17%

5%

17%

29%33%

16%

4%

15%

27%

33%

20%

2009 2010 2011

CST Results - Grade 6 MathPercent of Students by Proficiency Band

Shasta County - Spring 2011 1,948 students

were tested in 2011.

1032 students

(53%) were Proficient or Advanced.

Page 52: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

CST Results for Current 7th Grade Class

Percent of Students by Proficiency BandOur District’s Results

Mathematics – Spring 2011

Percent of 5th Graders from 2010

Percent of 6th Graders from 2011

0%

5%

10%

15%

20%

25%

30%

35%

40%

Far Below Basic Below Basic BasicLow Proficient High Proficient Advanced

Page 53: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Teacher Input: Effort

Students who met the CST score on only 5th or 6th grade

Teachers can complete an Effort Rubric

Add students whose work ethic and effort are outstanding.

Page 54: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Algebra 1 Readiness Criteria3 Steps

1. Initial Placement

CST Scores of Proficient or Advanced from: Grade 5 Grade 6

Teacher Input on Effort

2. Secondary Placement

MDTP Algebra Readiness Test (overall cut score)

MDTP Algebra Readiness Topic Proficiency (80% or higher) in: Fractions Integers

3. Final Placement

Page 55: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Algebra 1 Readiness Assessment

to be piloted for student placements in 2012-13

The Algebra Readiness Test (ART) was developed by the University of California and California State University through the California Mathematics Diagnostic Testing Project (MDTP).

The ART was designed to measure arithmetic and pre-algebra skills to determine readiness for a first course in algebra

Skills measured on the Algebra Readiness Test are: Integers, Fractions, Decimals, Percent, Exponents, Square

Roots, Simple Equations, Operations with Literal Symbols, Geometry and Graphing

The ART consists of 50 multiple-Choice Problems that must be completed within 45 minutes

The ART will be administered through an web-based program called Daskala.

Page 56: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Algebra 1 Readiness Assessment

to be piloted for student placements in 2012-13

Proficiency will be determined by an overall score in conjunction with levels of mastery (80%) achieved in some of the following key topic areas that are individually defined on the ART MDTP. Decimals, their Operations and Applications; Percent Simple Equations and Operations with Literal

Symbols Exponents and Square Roots; Scientific Notation Fractions, their Operations and Applications Geometry and Graphing Integers, their Operations and Applications Graphical Representation

Page 57: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Algebra 1 Readiness Criteria3 Steps

1. Initial Placement

CST Scores of Proficient or Advanced from: Grade 5 Grade 6

Teacher Input on Effort

2. Secondary Placement

MDTP Algebra Readiness Test (overall cut score)

MDTP Algebra Readiness Topic Proficiency (80% or higher) in: Fractions Integers

Final review of placement in August with Grade 7 CST Scores.

3. Final Placement

Page 58: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Critical Role of 7th Grade Math

“Students’ skill and understanding in math through 7th grade is both a benchmark indicator of the quality of students’ educational experiences in math thus far and a meaningful predictor of their future success in the subject, including algebra.”EdSource Issue Brief: “California’s Math Pipeline: The Grade 7 Pivot Point” September 2011

Page 59: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together
Page 60: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Our Goal…

To help ALL students to successfully complete Algebra 1 by the end of their 9th grade year.

To help students experience success in Algebra 1 the first time they take the course by having the needed skill set when they are enrolled.

Page 61: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

Upcoming Timelines

Optional District Selection of Supplementary Materials (K-7th) ~ Spring 2013

Implementation of Math Framework 2013-14 after State Board Approval ~ November 2013

Instructional Materials Adoption ~ November 2016

Page 62: Algebra 1 When are students really ready for the course? Shasta County Curriculum Leaders & Math Task Force ~ Working Together

References

Achieve, Inc. LINK: www.achieve.org

California Common Core State Standards LINK: http://www.cde.ca.gov/ci/cc/

Common Core State Standards Initiative LINK: http://www.corestandards.org/

EdSource “Improving Middle Grades Math Performance” LINK: http://www.edsource.org/iss-mgg-middle-math.html