Is Ptarmigan Elementary a good school?

Ptarmigan Elementary ranks in the bottom 12.1% of Alaska elementary schools.

How many students attend Ptarmigan Elementary?

In the 2023-24 school year, 393 students attended Ptarmigan Elementary.

What is the racial makeup of Ptarmigan Elementary?

Students at Ptarmigan Elementary are 17% Asian, 16% Pacific Islander, 16% White, 16% Two or more races, 15% Hispanic, 14% American Indian, 6% African American.

What schools do graduates of Ptarmigan Elementary attend?

Students who attend Ptarmigan Elementary usually go on to attend: Middle : Clark Middle School Alternative : Bartlett High School

Ptarmigan Elementary

Summary:

Ptarmigan Elementary is a public elementary school in Anchorage, Alaska, serving 341 students in grades PK-6. The school stands out for its highly diverse student population, consistently low academic performance, and high concentration of socioeconomically disadvantaged students.

Ptarmigan Elementary has a significantly more diverse student body than nearby schools, with a racial makeup of 17.01% White, 10.26% African American, 15.54% Hispanic, 12.32% Asian, 12.9% Native American, 16.13% Pacific Islander, and 15.84% two or more races. However, this diversity is not reflected in the school's academic performance, which consistently ranks in the bottom quarter of Anchorage School District elementary schools. Ptarmigan's proficiency rates in STAR/English Language Arts and STAR/Mathematics are significantly lower than the district and state averages, as well as the nearby schools like Nunaka Valley Elementary and Susitna Elementary.

Further compounding the challenges at Ptarmigan Elementary is the high percentage of students receiving free or reduced-price lunch, reaching 79.18% in the 2022-2023 school year. This is significantly higher than the nearby schools, indicating a higher concentration of students from low-socioeconomic backgrounds. The school's student-teacher ratio is also relatively high, ranging from 13.2 to 17.1 over the past three school years, which may contribute to the academic struggles. Overall, Ptarmigan Elementary faces significant hurdles in addressing the unique needs of its diverse student population and improving academic outcomes.

Detail:

Public PK, KG-6

888 Edwards St
Anchorage, AK 99504-1699

(907) 742-0400

District: Anchorage School District

SchoolDigger Rank:
152^nd of 173 Alaska Elementary Schools

Per Pupil Expenditures: $21,004

Students who attend Ptarmigan Elementary usually attend:

Middle:	Clark Middle School
Alternative:	Bartlett High School

Student/teacher ratio: 15.1

Number of students: 393

Racial breakdown:

Asian:

17.0%

Pacific Islander:

16.3%

White:

16.0%

Free/discounted lunch recipients: 81.9%

See top rated Alaska elementary schools

Compare Ptarmigan Elementary to nearby elementary schools!

Performance Trends

Compare Details Ptarmigan Elementary ranks worse than 87.9% of elementary schools in Alaska. It also ranks 48^th among 62 ranked elementary schools in the Anchorage School District. (See more...)

Compare Details In 2024 the calculated Average Standard Score was 12.16. (See more...)

Student Body

Compare Details Student population at Ptarmigan Elementary is diverse. Racial makeup is: Asian (17%), Pacific Islander (16.3%), two or more races (16%). (See more...)

Compare Details 81.9% of students are receiving a free or discounted lunch. (See more...)

Teachers

Compare Details The student/teacher ratio at Ptarmigan Elementary is 15.1, which is the 19^th best among 62 elementary schools in the Anchorage School District. (See more...)

Compare Ptarmigan Elementary employs 25.9 full-time teachers.

Finance

Compare Details The average total spent per student at Ptarmigan Elementary is $21,004, which is the 5^th highest among 62 elementary schools in the Anchorage School District.

Schooldigger 2024 Rankings:

Ptarmigan Elementary:

SchoolDigger ranks Ptarmigan Elementary 152^nd of 173 Alaska public elementary schools. (See Ptarmigan Elementary in the ranking list.)

Elementary School Test Score Ratings by Student Subgroup:

Low Socio Economic Status students:

Female students:

Male students:

Asian students:

Hispanic students:

White students:

Anchorage School District:

SchoolDigger ranks Anchorage School District 14^th of 24 Alaska school districts. (See district ranking list.)

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Rank History for Ptarmigan Elementary

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Rank History for all students at Ptarmigan Elementary

Year	Avg Standard Score	Statewide Rank	Total # Ranked Elementary Schools	AK State Percentile
2005	47.15	139^th	213	34.7%
2006	48.14	133^rd	218	39.0%
2007	65.79	87^th	212	59.0%
2008	50.35	130^th	219	40.6%
2009	35.55	156^th	226	31.0%
2010	27.67	166^th	229	27.5%
2011	31.79	162^nd	223	27.4%
2012	45.27	146^th	227	35.7%
2013	47.64	141^st	223	36.8%
2014	35.22	156^th	218	28.4%
2015	15.52	198^th	246	19.5%
2017	7.06	174^th	180	3.3%
2018	4.57	182^nd	186	2.2%
2019	8.93	174^th	185	5.9%
2021	17.66	149^th	173	13.9%
2022	12.80	157^th	171	8.2%
2023	15.27	156^th	176	11.4%
2024	12.16	152^nd	173	12.1%

See the entire list of Alaska Elementary School Rankings!

Rank History for Multi-racial students at Ptarmigan Elementary

Year	Avg Standard Score	Statewide Rank	Total # Ranked Elementary Schools	AK State Percentile	SchoolDigger Rating
2019	50.67	38^th	73	47.9%

See the entire list of Best Alaska Elementary Schools for Multi-racial Students!

Rank History for Low Socio Economic Status students at Ptarmigan Elementary

Year	Avg Standard Score	Statewide Rank	Total # Ranked Elementary Schools	AK State Percentile
2019	11.06	138^th	147	6.1%
2021	24.06	89^th	110	19.1%
2022	14.50	94^th	104	9.6%
2023	21.00	97^th	119	18.5%
2024	16.03	109^th	122	10.7%

See the entire list of Best Alaska Elementary Schools for Low Socio Economic Status Students!

Rank History for Female students at Ptarmigan Elementary

Year	Avg Standard Score	Statewide Rank	Total # Ranked Elementary Schools	AK State Percentile
2019	11.66	148^th	159	6.9%
2021	17.08	123^rd	141	12.8%
2022	9.58	139^th	143	2.8%
2023	16.75	130^th	152	14.5%
2024	7.17	139^th	142	2.1%

See the entire list of Best Alaska Elementary Schools for Female Students!

Rank History for Male students at Ptarmigan Elementary

Year	Avg Standard Score	Statewide Rank	Total # Ranked Elementary Schools	AK State Percentile
2019	9.20	151^st	159	5.0%
2021	11.57	134^th	142	5.6%
2022	15.74	133^rd	148	10.1%
2023	11.12	137^th	148	7.4%
2024	16.29	134^th	150	10.7%

See the entire list of Best Alaska Elementary Schools for Male Students!

Rank History for Asian students at Ptarmigan Elementary

Year	Avg Standard Score	Statewide Rank	Total # Ranked Elementary Schools	AK State Percentile
2019	12.33	38^th	41	7.3%
2023	19.61	31^st	36	13.9%
2024	22.09	26^th	33	21.2%

See the entire list of Best Alaska Elementary Schools for Asian Students!

Rank History for Hispanic students at Ptarmigan Elementary

Year	Avg Standard Score	Statewide Rank	Total # Ranked Elementary Schools	AK State Percentile	SchoolDigger Rating
2023	30.35	24^th	28	14.3%
2024	11.00	27^th	27	0.0%

See the entire list of Best Alaska Elementary Schools for Hispanic Students!

Rank History for White students at Ptarmigan Elementary

Year	Avg Standard Score	Statewide Rank	Total # Ranked Elementary Schools	AK State Percentile
2019	28.91	116^th	147	21.1%
2023	41.61	84^th	138	39.1%
2024	30.88	102^nd	133	23.3%

See the entire list of Best Alaska Elementary Schools for White Students!

Data source: test scores: Alaska Department of Education and Early Developmenr, rankings: SchoolDigger.com

As you review the school rankings data, please be aware that some of the information from certain demographics is missing. The reason for this omission is that the data has been redacted from the source data itself due to low population samples in these specific demographic groups.

Redacting data from low population samples is a necessary step to ensure the reliability and accuracy of the results, as small sample sizes may not be representative of the broader population. Additionally, this measure helps protect the privacy of individuals belonging to these demographic groups.

Data source: Alaska Department of Education and Early Development

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Enrollment information for Ptarmigan Elementary

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Year	White	African American	Asian	Hispanic	American Indian	Pacific Islander	Two or More Races	Not Specified	Total
1989	214	53	10	11	44	n/a	n/a	0	332
1990	198	66	12	10	38	n/a	n/a	0	324
1991	197	48	12	19	50	n/a	n/a	0	326
1992	212	35	12	20	45	n/a	n/a	0	324
1993	280	62	14	17	83	n/a	n/a	0	456
1994	250	58	17	15	71	n/a	n/a	0	411
1995	223	67	18	26	70	n/a	n/a	0	404
1996	223	67	18	26	70	n/a	n/a	0	404
1997	184	56	17	21	67	n/a	n/a	0	345
1998	191	56	19	20	83	n/a	n/a	0	369
1999	183	77	28	24	95	n/a	n/a	0	407
2000	185	74	32	32	87	n/a	n/a	0	410
2001	192	92	28	35	112	n/a	n/a	0	459
2002	132	72	21	44	100	n/a	n/a	0	369
2003	132	72	21	44	100	n/a	n/a	0	369
2004	130	66	18	38	99	n/a	n/a	0	351
2005	132	72	28	54	117	n/a	n/a	0	403
2006	125	65	38	55	108	n/a	n/a	0	391
2007	142	62	46	44	125	n/a	n/a	0	419
2008	125	51	67	67	85	n/a	n/a	70	465
2009	135	70	49	70	63	26	70	0	483
2010	121	63	53	60	64	16	52	0	429
2011	105	50	44	60	65	22	88	0	434
2012	97	47	62	56	72	18	72	0	424
2013	83	50	71	59	63	20	63	0	409
2014	74	46	75	45	59	29	63	0	391
2015	75	34	76	44	49	42	61	0	381
2016	69	30	64	49	48	40	58	0	358
2017	97	41	60	60	44	56	70	0	428
2018	80	49	62	60	63	49	71	0	434
2019	60	39	73	50	50	46	67	0	385
2020	55	27	76	58	55	55	77	0	403
2021	45	34	62	49	40	49	72	0	351
2022	36	33	54	56	42	61	62	0	344
2023	58	35	42	53	44	55	54	0	341
2024	63	22	67	59	55	64	63	0	393

Data source: National Center for Education Statistics, U.S. Dept of Education.

About Enrollment/Ethnicity

For more information about how the Department of Education defines ethnicity, see Defining Race and Ethnicity Data, National Center for Education Statistics

Students eligible for free or discounted lunch at Ptarmigan Elementary

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Year	# Students	Full-time Teachers	Student/Teacher ratio	% Free/Discounted Lunch
1989	332	17.0	19.5	27.4
1990	324	16.0	20.2	17.6
1991	326	17.5	18.6	27
1992	324	17.5	18.5	21.3
1993	456	17.5	26.1	15.1
1994	411	17.5	23.5	16.8
1995	404	21.0	19.2	38.9
1996	404	21.0	19.2	38.9
1997	345	21.0	16.4	46.4
1998	369	19.0	19.4	48.5
1999	407	20.7	19.7	48.6
2000	410	22.0	18.6	53.9
2001	459	24.1	19.0	49.5
2002	369	24.0	15.4	56.9
2003	369	24.0	15.4	56.9
2004	351	24.2	14.5	56.1
2005	403	23.1	17.4	62
2006	391	25.1	15.6	77.2
2007	419	28.4	14.8	67.8
2008	465	26.6	17.5	83
2009	483	28.3	17.1	73.5
2010	429	30.0	14.3	80.9
2011	434	32.5	13.3	80
2012	424	30.7	13.7	81.8
2013	409	30.0	13.5	83.4
2014	391	29.1	13.4	85.7
2015	381	28.0	13.6	90
2016	358	28.0	12.7	82.1
2017	428	24.1	17.7	94.6
2018	434	28.8	15.0	84.6
2019	385	27.0	14.2	42.3
2020	403	27.4	14.6	84.4
2021	351	26.4	13.2	n/a
2022	344	25.0	13.7	n/a
2023	341	19.8	17.1	79.2
2024	393	25.9	15.1	81.9

Data source: National Center for Education Statistics, U.S. Dept of Education.

About Students eligible for discounted/free lunch:

The National School Lunch Program (NSLP) provides low-cost or free meals to students in U.S. public and nonprofit private schools based on household income. Those with incomes below 130% of the poverty line receive free lunch, while those between 130% and 185% qualify for reduced-price lunch. The percentage of students receiving free or reduced-price lunch serves as a marker for poverty, as it reflects the socioeconomic status of families in a given school or district. A higher FRPL rate typically indicates a higher concentration of low-income families, suggesting that the school or district may face additional challenges in providing adequate resources and support for student success.

Student/Teacher Ratio Ptarmigan Elementary

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Year	# Students	Full-time Teachers	Student/Teacher ratio	% Free/Discounted Lunch
1989	332	17.0	19.5	27.4
1990	324	16.0	20.2	17.6
1991	326	17.5	18.6	27
1992	324	17.5	18.5	21.3
1993	456	17.5	26.1	15.1
1994	411	17.5	23.5	16.8
1995	404	21.0	19.2	38.9
1996	404	21.0	19.2	38.9
1997	345	21.0	16.4	46.4
1998	369	19.0	19.4	48.5
1999	407	20.7	19.7	48.6
2000	410	22.0	18.6	53.9
2001	459	24.1	19.0	49.5
2002	369	24.0	15.4	56.9
2003	369	24.0	15.4	56.9
2004	351	24.2	14.5	56.1
2005	403	23.1	17.4	62
2006	391	25.1	15.6	77.2
2007	419	28.4	14.8	67.8
2008	465	26.6	17.5	83
2009	483	28.3	17.1	73.5
2010	429	30.0	14.3	80.9
2011	434	32.5	13.3	80
2012	424	30.7	13.7	81.8
2013	409	30.0	13.5	83.4
2014	391	29.1	13.4	85.7
2015	381	28.0	13.6	90
2016	358	28.0	12.7	82.1
2017	428	24.1	17.7	94.6
2018	434	28.8	15.0	84.6
2019	385	27.0	14.2	42.3
2020	403	27.4	14.6	84.4
2021	351	26.4	13.2	n/a
2022	344	25.0	13.7	n/a
2023	341	19.8	17.1	79.2
2024	393	25.9	15.1	81.9

Data source: National Center for Education Statistics, U.S. Dept of Education.

About Student-Teacher Ratio

Student/teacher ratio is calculated by dividing the total number of students by the total number of full-time equivalent teachers. Please note that a smaller student/teacher ratio does not necessarily translate to smaller class size. In some instances, schools hire teachers part time, and some teachers are hired for specialized instruction with very small class sizes. These and other factors contribute to the student/teacher ratio. Note: For private schools, Student/teacher ratio may not include Pre-Kindergarten.

Finances

Per Pupil Expenditures for Ptarmigan Elementary

Year	Expenditures from Federal Funds	Expenditures from State and Local Funds	Total Expenditures Per Pupil (All Funds)
2019	$3,251 (15.5%)	$17,752 (84.5%)	$21,004

Data source: Alaska Department of Education

Pre and Post Pandemic Data

Impact of COVID-19 on Ptarmigan Elementary

The coronavirus has had a profound impact on education in America. Learning shifted online overnight, attendance numbers dwindled, and enrollment decreased. SchoolDigger.com is making it easier for you to better assess how COVID-19 has impacted your school. Through the collection of pre-pandemic (2019) and current data, SchoolDigger.com is sharing test scores, enrollment numbers and school demographics from schools across the country – and we make it easy to see how impacted schools compare locally and statewide.

Rankings

Rank Pre-pandemic (2018-2019)	Rank Post pandemic (2022-2023)	Change (%)
Ranks 174^th of 185 Elementary schools	Ranks 156^th of 176 Elementary schools	5.4%

Test Scores

	% proficient Pre-pandemic (2018-2019)	% proficient Post pandemic (2022-2023)	Change (%)
All Grades Science (Ptarmigan Elementary)	15.7	25.5	9.8%
All Grades Science (Anchorage School District)	46.6	39.4	7.2%
All Grades Science (Alaska)	44.7	36.9	7.7%

Student Body

	Number of students Pre-pandemic (2018-2019)	Number of students Post pandemic (2022-2023)	Change (%)
Total Students	385	341	11.4%
African American	39	35	10.3%
American Indian	50	44	12%
Asian	73	42	42.5%
Hispanic	50	53	6%
Pacific Islander	46	55	19.6%
White	60	58	3.3%
Two or More Races	67	54	19.4%
% Free/Discounted Lunch Recipients	42.3%	79.2%	36.8%

Schools Near Ptarmigan Elementary

Choose columns to see: Summary School Students/Teachers Ranking Test Scores Finance All

School													Students/Teachers											Ranking (2024)				Ranking (2023)				STAR English Language Arts (2024)							STAR Mathematics (2024)							ASA Science (2024)			Per Pupil Expenditures (2019)
Name	Type	Grades	Address	City	Zip	County	District	Is Charter	Is Magnet	Is Virtual	Is Title I	Phone	Enrollment	Full-time Teachers	Student/ Teacher Ratio	Free/Discounted Lunch Recipients	White	Black	Hispanic	Asian	American Indian	Pacific Islander	Two or More Races	Average Standard Score (2024)	Statewide Rank (2024)	State Percentile (2024)	SchoolDigger Rating (2024)	Average Standard Score (2023)	Statewide Rank (2023)	State Percentile (2023)	Rank Change from Previous Year	STAR English Language Arts 3rd Grade	STAR English Language Arts 4th Grade	STAR English Language Arts 5th Grade	STAR English Language Arts 6th Grade	STAR English Language Arts 7th Grade	STAR English Language Arts 8th Grade	STAR English Language Arts All Grades	STAR Mathematics 3rd Grade	STAR Mathematics 4th Grade	STAR Mathematics 5th Grade	STAR Mathematics 6th Grade	STAR Mathematics 7th Grade	STAR Mathematics 8th Grade	STAR Mathematics All Grades	ASA Science 5th Grade	ASA Science 8th Grade	ASA Science All Grades	Per Pupil Expenditures Total	Sub-total from Federal Funds	Sub-total from State/Local Funds
Ptarmigan Elementary	Public	PK, KG-6	888 Edwards St	Anchorage	99504	Anchorage Municipality	Anchorage School District	No	No	No	Yes	(907) 742-0400	393	26	15.1	81.9%	63 (16.0%)	22 (5.6%)	59 (15.0%)	67 (17.0%)	55 (14.0%)	64 (16.3%)	63 (16.0%)	12.2	152^nd of 173 public elementary schools	12.1%		15.3	156^th of 176 public elementary schools	11.4%	4	9.1	21.1	23.3				18.0	14.8	17.5	26.7				19.9	23.0		23.0	$21,004	$3,251	$17,752
Wonder Park Elementary	Public	PK, KG-5	5101 E 4th Ave	Anchorage	99508	Anchorage Municipality	Anchorage School District	No	No	No	Yes	(907) 337-1569	285	19	14.7	104.2%	47 (16.5%)	15 (5.3%)	34 (11.9%)	21 (7.4%)	41 (14.4%)	74 (26.0%)	53 (18.6%)	12.4	151^st of 173 public elementary schools	12.7%		14.7	158^th of 176 public elementary schools	10.2%	7	22.2	15.9	14.3				17.2	27.8	13.6	16.7				18.9	23.3		23.3	$17,181	$2,865	$14,315
Creekside Park Elementary	Public	PK, KG-6	7500 E 6th Ave	Anchorage	99504	Anchorage Municipality	Anchorage School District	No	No	No	Yes	(907) 742-1550	384	22	17.2	83.9%	47 (12.2%)	41 (10.7%)	43 (11.2%)	52 (13.5%)	50 (13.0%)	51 (13.3%)	100 (26.0%)	16.4	146^th of 173 public elementary schools	15.6%		17.4	146^th of 176 public elementary schools	17.0%		19.1	25.4	26.5				23.4	15.9	17.5	24.5				18.9	30.0		30.0	$17,739	$2,332	$15,407
Nunaka Valley Elementary	Public	PK, KG-6	1905 Twining Dr	Anchorage	99504	Anchorage Municipality	Anchorage School District	No	No	No	Yes	(907) 742-0366	207	14	14.8	70.5%	38 (18.4%)	17 (8.2%)	25 (12.1%)	17 (8.2%)	33 (15.9%)	31 (15.0%)	46 (22.2%)	27.3	131^st of 173 public elementary schools	24.3%		46.5	95^th of 176 public elementary schools	46.0%	36	22.2	22.2	42.3				29.6	16.7	18.5	30.8				22.5	46.2		46.2	$22,230	$3,654	$18,575
Chester Valley Elementary	Public	PK, KG-6	1751 Patterson Rd	Anchorage	99504	Anchorage Municipality	Anchorage School District	No	No	No	Yes	(907) 742-0335	227	14	16.0	86.8%	31 (13.7%)	19 (8.4%)	24 (10.6%)	19 (8.4%)	20 (8.8%)	59 (26.0%)	55 (24.2%)	12.1	153^rd of 173 public elementary schools	11.6%		15.7	154^th of 176 public elementary schools	12.5%	1	15.4	27.0	18.5				20.4	10.3	10.8	25.9				14.6	17.9		17.9	$21,578	$3,626	$17,952
Williwaw Elementary	Public	PK, KG-6	1200 San Antonio St	Anchorage	99508	Anchorage Municipality	Anchorage School District	No	No	No	Yes	(907) 742-2000	334	23	14.6	101.5%	30 (9.0%)	10 (3.0%)	47 (14.1%)	101 (30.2%)	34 (10.2%)	68 (20.4%)	44 (13.2%)	4.5	171^st of 173 public elementary schools	1.2%		6.4	173^rd of 176 public elementary schools	1.7%	2	12.8	11.6	7.3				10.7	6.5	7.0	12.2				8.5	11.9		11.9	$26,336	$3,845	$22,490
Susitna Elementary	Public, Magnet	PK, KG-6	7500 Tyone Circle	Anchorage	99504	Anchorage Municipality	Anchorage School District	No	Yes	No	No	(907) 742-1400	385	24	16.2	68.1%	93 (24.2%)	8 (2.1%)	37 (9.6%)	86 (22.3%)	58 (15.1%)	41 (10.6%)	62 (16.1%)	21.6	140^th of 173 public elementary schools	19.1%		19.7	143^rd of 176 public elementary schools	18.8%	3	24.2	22.7	20.3				22.4	37.1	13.6	20.6				23.6	38.1		38.1	$13,238	$1,149	$12,089
Russian Jack Elementary	Public	PK, KG-6	4300 E 20th Ave	Anchorage	99508	Anchorage Municipality	Anchorage School District	No	No	No	Yes	(907) 742-1300	278	19	14.6	93.9%	28 (10.1%)	9 (3.2%)	55 (19.8%)	58 (20.9%)	42 (15.1%)	44 (15.8%)	42 (15.1%)	16.7	145^th of 173 public elementary schools	16.2%		16.7	149^th of 176 public elementary schools	15.3%	4	9.3	26.2	17.5				17.6	23.3	28.6					19.2	25.0		25.0	$16,896	$3,468	$13,428
Baxter Elementary	Public, Magnet	PK, KG-6	2991 Baxter Rd	Anchorage	99504	Anchorage Municipality	Anchorage School District	No	Yes	No	No	(907) 742-1750	293	18	16.4	67.6%	60 (20.5%)	33 (11.3%)	42 (14.3%)	37 (12.6%)	47 (16.0%)	22 (7.5%)	52 (17.7%)	13	150^th of 173 public elementary schools	13.3%		21	140^th of 176 public elementary schools	20.5%	10	15.9	18.8	21.1	23.7			19.7		12.5	23.1	26.3			16.3	28.2		28.2	$20,153	$1,911	$18,241
Alaska Native Cultural Charter School	Public, Magnet, Charter	PK, KG-8	4025 E Northern Lights Blvd	Anchorage	99508	Anchorage Municipality	Anchorage School District	Yes	Yes	No	Yes	(907) 742-1370	274	21	13.0	86.5%	6 (2.2%)	2 (0.7%)	26 (9.5%)	0 (0.0%)	159 (58.0%)	0 (0.0%)	81 (29.6%)	11.4	156^th of 173 public elementary schools	9.8%		16.4	152^nd of 176 public elementary schools	13.6%	4	20.8	16.7	11.5	25.6	13.0	50.0	23.5		16.7		20.5	13.0	30.8	16.7	15.4	26.9	21.2	$15,679	$3,484	$12,195

Ptarmigan Elementary

Ptarmigan Elementary:

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