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Math Proficiency


Tenth Grade Students Passing the High School Exit Exam in Math, by Race/Ethnicity: 2012 See Source and Notes
(Race/Ethnicity: All)

California Percent
African American/Black 69%
American Indian/Alaska Native 80%
Asian American 96%
Filipino 93%
Hispanic/Latino 78%
Native Hawaiian/Pacific Islander 84%
White 91%
Multiracial 87%
Alameda County Percent
African American/Black 62%
American Indian/Alaska Native 81%
Asian American 96%
Filipino 91%
Hispanic/Latino 75%
Native Hawaiian/Pacific Islander 79%
White 92%
Multiracial 87%
Alpine County Percent
African American/Black N/A
American Indian/Alaska Native N/A
Asian American N/A
Filipino N/A
Hispanic/Latino N/A
Native Hawaiian/Pacific Islander N/A
White N/A
Multiracial N/A
Amador County Percent
African American/Black LNE
American Indian/Alaska Native LNE
Asian American LNE
Filipino LNE
Hispanic/Latino 80%
Native Hawaiian/Pacific Islander LNE
White 91%
Multiracial 90%
Butte County Percent
African American/Black 68%
American Indian/Alaska Native 71%
Asian American 91%
Filipino LNE
Hispanic/Latino 79%
Native Hawaiian/Pacific Islander LNE
White 85%
Multiracial 80%
Calaveras County Percent
African American/Black LNE
American Indian/Alaska Native LNE
Asian American LNE
Filipino LNE
Hispanic/Latino 89%
Native Hawaiian/Pacific Islander N/A
White 89%
Multiracial LNE
Colusa County Percent
African American/Black LNE
American Indian/Alaska Native LNE
Asian American N/A
Filipino N/A
Hispanic/Latino 76%
Native Hawaiian/Pacific Islander LNE
White 92%
Multiracial LNE
Contra Costa County Percent
African American/Black 64%
American Indian/Alaska Native 78%
Asian American 96%
Filipino 94%
Hispanic/Latino 76%
Native Hawaiian/Pacific Islander 82%
White 93%
Multiracial 93%
Del Norte County Percent
African American/Black LNE
American Indian/Alaska Native 71%
Asian American LNE
Filipino N/A
Hispanic/Latino 74%
Native Hawaiian/Pacific Islander LNE
White 73%
Multiracial LNE
El Dorado County Percent
African American/Black 65%
American Indian/Alaska Native 83%
Asian American 100%
Filipino 97%
Hispanic/Latino 79%
Native Hawaiian/Pacific Islander LNE
White 94%
Multiracial 91%
Fresno County Percent
African American/Black 66%
American Indian/Alaska Native 78%
Asian American 89%
Filipino 91%
Hispanic/Latino 75%
Native Hawaiian/Pacific Islander 79%
White 91%
Multiracial 80%
Glenn County Percent
African American/Black LNE
American Indian/Alaska Native LNE
Asian American LNE
Filipino N/A
Hispanic/Latino 79%
Native Hawaiian/Pacific Islander LNE
White 85%
Multiracial LNE
Humboldt County Percent
African American/Black LNE
American Indian/Alaska Native 80%
Asian American 96%
Filipino LNE
Hispanic/Latino 75%
Native Hawaiian/Pacific Islander LNE
White 86%
Multiracial 81%
Imperial County Percent
African American/Black 88%
American Indian/Alaska Native LNE
Asian American 100%
Filipino LNE
Hispanic/Latino 81%
Native Hawaiian/Pacific Islander LNE
White 91%
Multiracial LNE
Inyo County Percent
African American/Black LNE
American Indian/Alaska Native 74%
Asian American LNE
Filipino LNE
Hispanic/Latino 78%
Native Hawaiian/Pacific Islander N/A
White 88%
Multiracial LNE
Kern County Percent
African American/Black 65%
American Indian/Alaska Native 84%
Asian American 94%
Filipino 95%
Hispanic/Latino 78%
Native Hawaiian/Pacific Islander 81%
White 86%
Multiracial 83%
Kings County Percent
African American/Black 72%
American Indian/Alaska Native LNE
Asian American 91%
Filipino 90%
Hispanic/Latino 76%
Native Hawaiian/Pacific Islander LNE
White 86%
Multiracial LNE
Lake County Percent
African American/Black LNE
American Indian/Alaska Native LNE
Asian American LNE
Filipino LNE
Hispanic/Latino 73%
Native Hawaiian/Pacific Islander LNE
White 78%
Multiracial 81%
Lassen County Percent
African American/Black LNE
American Indian/Alaska Native LNE
Asian American LNE
Filipino LNE
Hispanic/Latino 69%
Native Hawaiian/Pacific Islander LNE
White 80%
Multiracial LNE
Los Angeles County Percent
African American/Black 69%
American Indian/Alaska Native 80%
Asian American 97%
Filipino 94%
Hispanic/Latino 79%
Native Hawaiian/Pacific Islander 84%
White 92%
Multiracial 86%
Madera County Percent
African American/Black 57%
American Indian/Alaska Native LNE
Asian American 96%
Filipino LNE
Hispanic/Latino 76%
Native Hawaiian/Pacific Islander LNE
White 86%
Multiracial 78%
Marin County Percent
African American/Black 72%
American Indian/Alaska Native LNE
Asian American 94%
Filipino LNE
Hispanic/Latino 71%
Native Hawaiian/Pacific Islander LNE
White 96%
Multiracial 90%
Mariposa County Percent
African American/Black N/A
American Indian/Alaska Native LNE
Asian American LNE
Filipino LNE
Hispanic/Latino LNE
Native Hawaiian/Pacific Islander N/A
White 91%
Multiracial LNE
Mendocino County Percent
African American/Black LNE
American Indian/Alaska Native 64%
Asian American LNE
Filipino LNE
Hispanic/Latino 75%
Native Hawaiian/Pacific Islander LNE
White 86%
Multiracial LNE
Merced County Percent
African American/Black 70%
American Indian/Alaska Native 87%
Asian American 95%
Filipino 95%
Hispanic/Latino 79%
Native Hawaiian/Pacific Islander LNE
White 88%
Multiracial LNE
Modoc County Percent
African American/Black LNE
American Indian/Alaska Native LNE
Asian American LNE
Filipino LNE
Hispanic/Latino 66%
Native Hawaiian/Pacific Islander N/A
White 92%
Multiracial LNE
Mono County Percent
African American/Black N/A
American Indian/Alaska Native LNE
Asian American N/A
Filipino N/A
Hispanic/Latino 77%
Native Hawaiian/Pacific Islander N/A
White 98%
Multiracial LNE
Monterey County Percent
African American/Black 75%
American Indian/Alaska Native LNE
Asian American 90%
Filipino 85%
Hispanic/Latino 75%
Native Hawaiian/Pacific Islander 73%
White 92%
Multiracial 91%
Napa County Percent
African American/Black 79%
American Indian/Alaska Native LNE
Asian American 100%
Filipino 91%
Hispanic/Latino 78%
Native Hawaiian/Pacific Islander LNE
White 91%
Multiracial 85%
Nevada County Percent
African American/Black LNE
American Indian/Alaska Native LNE
Asian American LNE
Filipino LNE
Hispanic/Latino 64%
Native Hawaiian/Pacific Islander LNE
White 89%
Multiracial 81%
Orange County Percent
African American/Black 81%
American Indian/Alaska Native 92%
Asian American 98%
Filipino 95%
Hispanic/Latino 81%
Native Hawaiian/Pacific Islander 86%
White 94%
Multiracial 93%
Placer County Percent
African American/Black 80%
American Indian/Alaska Native 90%
Asian American 95%
Filipino 95%
Hispanic/Latino 83%
Native Hawaiian/Pacific Islander 88%
White 94%
Multiracial 93%
Plumas County Percent
African American/Black N/A
American Indian/Alaska Native LNE
Asian American LNE
Filipino N/A
Hispanic/Latino 85%
Native Hawaiian/Pacific Islander N/A
White 89%
Multiracial 88%
Riverside County Percent
African American/Black 73%
American Indian/Alaska Native 83%
Asian American 96%
Filipino 96%
Hispanic/Latino 80%
Native Hawaiian/Pacific Islander 90%
White 90%
Multiracial 86%
Sacramento County Percent
African American/Black 67%
American Indian/Alaska Native 76%
Asian American 93%
Filipino 94%
Hispanic/Latino 76%
Native Hawaiian/Pacific Islander 80%
White 89%
Multiracial 84%
San Benito County Percent
African American/Black LNE
American Indian/Alaska Native LNE
Asian American LNE
Filipino LNE
Hispanic/Latino 76%
Native Hawaiian/Pacific Islander LNE
White 87%
Multiracial LNE
San Bernardino County Percent
African American/Black 69%
American Indian/Alaska Native 83%
Asian American 95%
Filipino 95%
Hispanic/Latino 78%
Native Hawaiian/Pacific Islander 84%
White 87%
Multiracial 83%
San Diego County Percent
African American/Black 79%
American Indian/Alaska Native 81%
Asian American 96%
Filipino 96%
Hispanic/Latino 82%
Native Hawaiian/Pacific Islander 90%
White 94%
Multiracial 90%
San Francisco County Percent
African American/Black 48%
American Indian/Alaska Native LNE
Asian American 95%
Filipino 83%
Hispanic/Latino 66%
Native Hawaiian/Pacific Islander 55%
White 91%
Multiracial 88%
San Joaquin County Percent
African American/Black 67%
American Indian/Alaska Native 75%
Asian American 88%
Filipino 92%
Hispanic/Latino 75%
Native Hawaiian/Pacific Islander 87%
White 86%
Multiracial 81%
San Luis Obispo County Percent
African American/Black 78%
American Indian/Alaska Native LNE
Asian American 98%
Filipino 94%
Hispanic/Latino 80%
Native Hawaiian/Pacific Islander LNE
White 93%
Multiracial 96%
San Mateo County Percent
African American/Black 65%
American Indian/Alaska Native 95%
Asian American 98%
Filipino 93%
Hispanic/Latino 77%
Native Hawaiian/Pacific Islander 80%
White 95%
Multiracial 91%
Santa Barbara County Percent
African American/Black 74%
American Indian/Alaska Native LNE
Asian American 97%
Filipino 89%
Hispanic/Latino 77%
Native Hawaiian/Pacific Islander LNE
White 93%
Multiracial 87%
Santa Clara County Percent
African American/Black 81%
American Indian/Alaska Native 82%
Asian American 98%
Filipino 92%
Hispanic/Latino 75%
Native Hawaiian/Pacific Islander 85%
White 94%
Multiracial 91%
Santa Cruz County Percent
African American/Black 84%
American Indian/Alaska Native LNE
Asian American 90%
Filipino 78%
Hispanic/Latino 71%
Native Hawaiian/Pacific Islander LNE
White 91%
Multiracial 89%
Shasta County Percent
African American/Black 71%
American Indian/Alaska Native 70%
Asian American 93%
Filipino LNE
Hispanic/Latino 78%
Native Hawaiian/Pacific Islander LNE
White 86%
Multiracial 83%
Sierra County Percent
African American/Black LNE
American Indian/Alaska Native N/A
Asian American LNE
Filipino N/A
Hispanic/Latino LNE
Native Hawaiian/Pacific Islander N/A
White 100%
Multiracial LNE
Siskiyou County Percent
African American/Black LNE
American Indian/Alaska Native 76%
Asian American LNE
Filipino LNE
Hispanic/Latino 90%
Native Hawaiian/Pacific Islander LNE
White 89%
Multiracial LNE
Solano County Percent
African American/Black 63%
American Indian/Alaska Native 81%
Asian American 92%
Filipino 92%
Hispanic/Latino 75%
Native Hawaiian/Pacific Islander 85%
White 90%
Multiracial 85%
Sonoma County Percent
African American/Black 75%
American Indian/Alaska Native 76%
Asian American 93%
Filipino 91%
Hispanic/Latino 78%
Native Hawaiian/Pacific Islander 83%
White 92%
Multiracial 88%
Stanislaus County Percent
African American/Black 74%
American Indian/Alaska Native 75%
Asian American 93%
Filipino 98%
Hispanic/Latino 79%
Native Hawaiian/Pacific Islander 90%
White 88%
Multiracial 82%
Sutter County Percent
African American/Black 77%
American Indian/Alaska Native LNE
Asian American 91%
Filipino LNE
Hispanic/Latino 79%
Native Hawaiian/Pacific Islander LNE
White 86%
Multiracial 83%
Tehama County Percent
African American/Black LNE
American Indian/Alaska Native LNE
Asian American LNE
Filipino N/A
Hispanic/Latino 79%
Native Hawaiian/Pacific Islander LNE
White 81%
Multiracial LNE
Trinity County Percent
African American/Black N/A
American Indian/Alaska Native LNE
Asian American LNE
Filipino N/A
Hispanic/Latino LNE
Native Hawaiian/Pacific Islander LNE
White 89%
Multiracial LNE
Tulare County Percent
African American/Black 83%
American Indian/Alaska Native 77%
Asian American 91%
Filipino 92%
Hispanic/Latino 78%
Native Hawaiian/Pacific Islander LNE
White 87%
Multiracial 84%
Tuolumne County Percent
African American/Black LNE
American Indian/Alaska Native LNE
Asian American LNE
Filipino N/A
Hispanic/Latino 81%
Native Hawaiian/Pacific Islander LNE
White 87%
Multiracial 88%
Ventura County Percent
African American/Black 79%
American Indian/Alaska Native 91%
Asian American 98%
Filipino 96%
Hispanic/Latino 77%
Native Hawaiian/Pacific Islander 96%
White 94%
Multiracial 92%
Yolo County Percent
African American/Black 73%
American Indian/Alaska Native LNE
Asian American 95%
Filipino 100%
Hispanic/Latino 78%
Native Hawaiian/Pacific Islander LNE
White 90%
Multiracial LNE
Yuba County Percent
African American/Black LNE
American Indian/Alaska Native 79%
Asian American 87%
Filipino LNE
Hispanic/Latino 70%
Native Hawaiian/Pacific Islander LNE
White 82%
Multiracial 73%

Definition: Percentage of public school students in 10th grade passing the mathematics section of the California High School Exit Exam, by race/ethnicity (e.g., 93% of Filipino 10th graders in California passed the math section of the exit exam in 2012).

Data Source: California Department of Education, California High School Exit Examination (CAHSEE) Research Files. Accessed at http://cahsee.cde.ca.gov/datafiles.asp (Dec. 2012).

Footnote: Years presented are the final year of a school year (e.g., 2011-2012 is shown as 2012). Data prior to 2005 do not exclusively report on results of 10th grade students and therefore are not directly comparable to subsequent years; however, the vast majority of students prior to 2005 were in the 10th grade. For numbers, LNE (Low Number Event) refers to data that have been suppressed because there were fewer than 10 students with passing scores. For percentages, LNE refers to data that have been suppressed because there were fewer than 20 students with passing scores. N/A means that data are not available.

Learn More About this Topic

Measures of Math Proficiency on Kidsdata.org

Kidsdata.org reports the percentage of public school students who have scored proficient or higher on the Algebra I California Standards Test (CST), as well as this information by race/ethnicity, socioeconomic status, and disability status. In order to score Proficient, a student must demonstrate a competent and adequate understanding of the knowledge and skills measured by this assessment, at this grade, in this content area; scoring Advanced requires a comprehensive and complex understanding.

In addition, kidsdata.org provides the percentage of 10th grade public school students who passed the mathematics section of the California High School Exit Exam (CAHSEE); this also is available by race/ethnicity and socioeconomic status.

The Algebra I CST is an end-of-course test taken by public school students in grades 7-11 who are enrolled in Algebra I. The test assesses student achievement according to state standards. The CST data are different from the CAHSEE data in that they are available by level of proficiency and disability status.

The primary purpose of the CAHSEE, according to the California Department of Education, is to significantly improve pupil achievement in public high schools and to ensure that students who graduate from high schools can demonstrate grade-level competency in reading, writing, and mathematics. The mathematics section of the CAHSEE addresses state standards in grades 6 and 7, and in Algebra I. Between grades 10 and 12, students have six opportunities to take the test. The CAHSEE was offered for the first time in spring 2001. Beginning in the 2005-2006 school year, students were required to pass the CAHSEE to receive a public high school diploma, in addition to meeting the individual school district's requirements for graduation.

Why This Topic Is Important

Basic math skills are essential to navigate through life, and competence in mathematics is associated with readiness for the workplace and higher future earnings (1). Research has found that taking higher-level math and science courses is correlated with attending and graduating from college (1). Mastering algebra, in particular, is critical as it is a high school graduation requirement for all California students, and algebra is considered a “gateway” to college preparatory courses (2). Experts describe algebra as "a foundation and language system on which higher order mathematics, science, technology, and engineering courses are built" (2). Large disparities persist by student socioeconomic status and racial/ethnic group for both algebra enrollment and successful course completion (3, 4).

Nationwide, increasing emphasis is being placed on children's academic achievement in mathematics and other subjects (1, 4). Though U.S. and California student math scores have improved since the 1990s, California’s scores consistently rank among the lowest in the nation (3).

For more information on math proficiency, see kidsdata.org’s Research & Links section.

Sources for this narrative:

  1. Child Trends. (2012). Mathematics proficiency. Retrieved from: http://www.childtrendsdatabank.org/?q=node/256
  2. Musen, L. (2010). Pre-algebra and algebra enrollment and achievement. Providence, RI: Annenberg Institute for School Reform, Brown University. Retrieved from: http://www.annenberginstitute.org/pdf/LeadingIndicator_Math.pdf
  3. National Center for Education Statistics. (2011). The Nation's report card: Mathematics 2011. U.S. Department of Education and the Institute of Education Sciences. Retrieved from: http://nces.ed.gov/nationsreportcard/pubs/main2011/2012458.asp
  4. Bitter, C., & O’Day, J. (2010). Raising expectations for mathematics instruction in California: Algebra and beyond. California Collaborative on District Reform Policy and Practice Brief. Retrieved from: http://www.cacollaborative.org/pdf/CA_Collaborative_8th_Grade_Algebra.pdf

Policy Implications

Despite broad agreement on the need to boost math proficiency among California students and to bridge the racial/ethnic achievement gap, there is sharp disagreement on policy reforms to achieve these goals. In addition, California is implementing new math standards and is placing more students in Algebra I by eighth grade than in the past, requiring a new focus on the drivers of math achievement. These standards create challenges in authorizing new assessments, curricula, and teacher evaluation systems that align with the standards (1). Despite these differences and challenges, quality teaching is one key point of consensus. Teacher quality has been shown to have a significant impact on student achievement (2, 3).

According to research and subject experts, policy options that could improve math proficiency include:

  • Improving teacher quality at every grade level (2, 3); recognizing that specific math-related teacher qualifications matter for improving student outcomes in math (2, 5)
  • Investing in quality preschool for California children, to promote kindergarten readiness and lay the foundation for later achievement (4)
  • Articulating state, district, and school-level middle school policies emphasizing improving academic outcomes for all students, including tying student outcomes to teacher evaluations; aligning middle school curricula, instructional practices and assessments with state standards; and prioritizing student academic performance when selecting superintendents and principals (6)
  • Analyzing district and school-level data on student achievement and progress by racial/ethnic group, especially for children of color, so that data can inform policy (7)
  • Ensuring that state, district and school-level policies provide the necessary support to allow students to succeed with state math standards, particularly in the middle grades; this includes improving placement policies, adopting appropriate curriculum in a timely way, and ensuring teacher and student preparation for math aligned with new content standards (8, 9, 10)
  • Encouraging and investing in comprehensive, evidence-based policies to promote family involvement in school, as it is strongly related to children’s academic achievement (11). Family involvement should be integrated as part of the school instructional strategy, and family engagement policies should be evaluated for effectiveness.

For more policy ideas on math proficiency in California, see the Research & Links section on kidsdata.org or visit the Center on the Future of Teaching and Learning, the Institute of Education Sciences What Works Clearinghouse, Education Trust-West, EdSource, California Algebra Forum, and Preschool California. Also see Policy Implications on kidsdata.org under Reading Proficiency, High School Dropouts and Family Income & Poverty.

Sources for this narrative:

  1. California Department of Education. (2010). Common core state standards resources. Retrieved from: http://www.cde.ca.gov/ci/cc/
  2. Darling-Hammond, L. (2000). Teacher quality and student achievement: A review of state policy evidence. Education Policy Analysis Archives. Retrieved from: http://epaa.asu.edu/ojs/article/view/392
  3. Rivkin, S. G., et al. (2005). Teachers, schools and academic achievement. Econometrica, 73(2), 417-458. Retrieved from: http://www.econ.ucsb.edu/~jon/Econ230C/HanushekRivkin.pdf
  4. Barnett, W. S., et al. (2007). Effects of five state prekindergarten programs on early learning. National Institute for Early Education Research. Retrieved from: http://nieer.org/pdf/MultiState1007.pdf
  5. Goe, L. (2007). The link between teacher quality and student outcomes: A Research Synthesis. National Comprehensive Center for Teacher Quality. Retrieved from: http://www.tqsource.org/link.php
  6. EdSource. (2010). Gaining ground in the middle grades: Why some schools do better. Retrieved from: http://www.edsource.org/middle-grades-study.html 
  7. EdSource. (2008). Raising African American student achievement: California goals, local outcomes. Retrieved from: http://www.edsource.org/pub_AAachievement5-08_report.html
  8. Bitter, C., & O'Day, J. (2010). Raising expectations for mathematics instruction in California: Algebra and beyond. California Collaborative on District Reform. Retrieved from: http://www.cacollaborative.org/pdf/CA_Collaborative_8th_Grade_Algebra.pdf
  9. EdSource. (2009). Algebra policy in California: Great expectations and serious challenges. Retrieved from: http://www.edsource.org/pub_algebra09.html
  10. Williams, T., et al. (2011). Preparation, placement, proficiency: Improving middle grades math performance. Policy and Practice Brief. Mountain View, CA: EdSource. Retrieved from: http://www.edsource.org/pub11-middle-grades-math.html
  11. Caspe, M., et al. (2007). Family involvement in elementary school children’s education. Harvard Family Research Project. Retrieved from: http://www.hfrp.org/family-involvement/publications-resources/family-involvement-in-elementary-school-children-s-education

How Children Are Faring

Statewide and in many counties, the percentage of students in grades 7-11 who scored proficient or higher on the Algebra I CST increased between 2004 and 2011. Still, only 32% of California students in those grades demonstrated algebra proficiency in 2011, and there was considerable range at the county level; among counties with available data, figures ranged from 15% to 48% that year. Though disparities by disability status, race/ethnicity, and socioeconomic status persist in algebra proficiency, considerable gains were made by California's economically disadvantaged students and those in every racial/ethnic group (for which data are available) from 2004-2011. Students with disabilities also made gains, although just 10% of 7th-11th graders with a reported disability scored proficient or higher in Algebra I in California, compared to 34% of students without a reported disability in 2011.

With regard to the high school exit exam, 84% of California 10th graders passed the mathematics portion in 2012, a slight increase from previous years. At the state level, the passing percentages have increased for all types of students (i.e., those with and without economic disadvantages, and those in every racial/ethnic group for which data are available) since 2005. However, economically disadvantaged students still have lower overall passing percentages than higher income students, and disparities remain among racial/ethnic groups.

Research and Links

Websites with Related Information

Key Reports

County/Regional Reports