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Gains Analysis
MATH 180 Course I
MATH 180 Course II
Academic Planning & Analysis
Norwalk Public Schools
Results Based on Program Data 08/01/2016–01/20/2017
Academic Planning & Analysis
Executive Summary
2
In partnership with the district, Houghton Mifflin Harcourt has analyzeddata from five sites that have implemented the MATH 180 Course Iand MATH 180 Course II intervention programs.
Preliminary Analysis Observations
• For MATH 180 Course I• 324 of 410 enrolled students (79%) had 10+ sessions of software use.• 314 of 410 enrolled students (77%) had 10+ sessions of software use and have
completed two Math Inventory test administrations at least eight weeks apart.These students had an average Quantile gain of 122.
• For MATH 180 Course II• 109 of 110 enrolled students (99%) had 10+ sessions of software use.• 104 of 110 enrolled students (95%) had 10+ sessions of software use and have
completed two Math Inventory test administrations at least eight weeks apart.These students had an average Quantile gain of 77.
Academic Planning & Analysis
MATH 180 gains inclusion criteria result in two subsets of students:
• Progress and Mastery analyses are based on students with 10+ software sessions (tan bar).
• Quantile growth analyses are based on students with 10+ software sessions and two
Math Inventory tests administered 8+ weeks apart (gold bar).
* License counts are taken from SAM Connect as the Gains Analysis is being produced, and might not reflect recent changes.
MATH 180 Licenses and Gains CriteriaHow many students had sufficient data for analysis?
3
314
318
323
324
410
648
8+ WeeksBetween Tests
Math InventoryPost-Test
Math InventoryPre-Test
10+ SoftwareSessions
Total EnrolledStudents
Course ILicenses Held*
Course I
104
108
109
109
110
288
8+ WeeksBetween Tests
Math InventoryPost-Test
Math InventoryPre-Test
10+ SoftwareSessions
Total EnrolledStudents
Course IILicenses Held*
Course II
Academic Planning & Analysis
Block Placement by Grade for Both Programs
4
MATH 180 students can be initially placed in a later Block (Block 4 for Course I, Block 5
for Course II) if their skills are sufficient, or can be skipped to that later Block if they
demonstrate mastery of content in early Blocks.
34
39
72
129
87
8
2
39
Grade 10
Grade 9
Grade 8
Grade 7
Grade 6
Course I
Not Yet Placed Placed in Block 1
Skipped to Block 4 Placed in Block 4
1
1
40
68
Grade 10
Grade 9
Grade 8
Course II
Not Yet Placed Placed in Block 1
Skipped to Block 5 Placed in Block 5
Academic Planning & Analysis
MATH 180 Course I & Course II Summary Usage
5
1. Assumes that MATH 180 Course I and MATH 180 Course II are implemented five days per week with full-rotational model in place each day and that
implementation began no later than October.
2. Extra session time after hours is beneficial, but long sessions in class could mean that instructional time is limited.
37
35
0 50 100 150
Course II
Course I
Software Sessions
End-of-Year Goal is 100+ Sessions
Mid-Year Minimum 1
15
21
0
10
20
30
40
Course I Course II
Minutes Per Session
Low
Good
Exceptional 2
20+ minutes could indicate after-hours software use.
8
5
0 3 6 9 12 15 18 21 24 27
Course II
Course I
Topic CompletionEnd-of-Year Goal is 15+ Topics
Mid-Year Goal
Academic Planning & Analysis
Students by Initial and Current QuantileMovement on 200-Quantile Bands for MATH 180 Course I Students
6
This shows how students in the Gains sample progressed from their initial Quantile
bands (gray) to their current Quantile bands (blue).
18
55
118
102
21
07
32
75
116
81
3
EM to199Q
200Q to399Q
400Q to599Q
600Q to799Q
800Q to999Q
1000Q &Above
Nu
mb
er o
f St
ud
ents
Avg Initial Quantile Measure Avg Current Quantile Measure
EM to
199Q
200Q to
399Q
400Q to
599Q
600Q to
799Q
800Q to
999Q
1000Q &
Above
4 5 6 2 1
1 10 24 17 3
1 11 31 55 20
1 6 14 38 41 2
4 16 1
177 56%
99 32%
38 12%
314
Moved up
Stayed in Level
Moved down
7 32 75 116 81 3
600Q to
799Q102
800Q to
999Q21
1000Q &
Above
Initial
Quantile
Current
Totals
Current Quantile
Initial
Totals
EM to 199Q 18
200Q to
399Q55
400Q to
599Q118
Academic Planning & Analysis
Students by Initial and Current QuantileMovement on 200-Quantile Bands for MATH 180 Course II Students
7
This shows how students in the Gains sample progressed from their initial Quantile
bands (gray) to their current Quantile bands (green).
1 3
13
63
24
00 2
15
33
46
8
EM to199Q
200Q to399Q
400Q to599Q
600Q to799Q
800Q to999Q
1000Q &Above
Nu
mb
er o
f St
ud
ents
Avg Initial Quantile Measure Avg Current Quantile Measure
EM to
199Q
200Q to
399Q
400Q to
599Q
600Q to
799Q
800Q to
999Q
1000Q &
Above
1
1 1 1
1 4 5 2 1
9 22 30 2
5 14 5
48 46%
41 39%
15 14%
Moved up
Stayed in Level
Moved down
2 15 33 46 1048
600Q to
799Q63
800Q to
999Q24
1000Q &
Above
Initial
Quantile
Current
Totals
Current Quantile
Initial
Totals
EM to 199Q 1
200Q to
399Q3
400Q to
599Q13
MATH 180 Course IUsage and Growth Reports
Academic Planning & Analysis9
• Reflects 324 students in MATH 180 Course I with 10+ software sessions in the 2016–2017 school year.
• Since students may need to use MATH 180 Course I for two years, the metrics above show cumulative progress,
which may include work from a previous school year.
• To complete the Success Zone for a Block, a student must finish the Block’s Learn Zone software activities and the
Success Zone formative assessments for each of the Block’s three Topics.
• A student takes the mSkills summative assessment after classroom instruction for the Block, and may score higher
after having also completed the block’s Success Zone tests.
Total Students by MATH 180 Course I BlockMATH 180 Course I Success Zone and mSkills Test Progress as Measures of Learning
Both Sides
of Zero
Decimal
Operations
Decimals &
Place Value
Fraction
Mult & DivFraction
Relationships
Fraction
ConceptsDivision
Distributive
PropertyMultiplicative Thinking
24
256
228
6
5840 38
64
219
114
4258
3414 7 4
No Blocks Block 1 Block 2 Block 3 Block 4 Block 5 Block 6 Block 7 Block 8 Block 9
Co
urs
e I S
tud
en
ts
mSkills Success Zone
Academic Planning & Analysis
• Above shows students’ Overall Performance by Block for MATH 180 Course I.
• Reflects 324 students in MATH 180 Course I with 10+ software sessions in the 2016–2017 school year.
• Eight students were promoted to Block 4 after completing some Topics within Blocks 1–3; 41 students
started in Block 4.
10
Total Students by MATH 180 Course I BlockMATH 180 Course I Overall Performance
Both Sides
of Zero
Decimal
Operations
Decimals &
Place Value
Fraction Mult
& DivFraction
Relationships
Fraction
ConceptsDivision
Distributive
Property
Multiplicative
Thinking
5 1 7324
1 4 1220
49
55
2349 25 7
7 4
216 147
20
165 4
744
231
255281 286
317 320 324
Block 1 Block 2 Block 3 Block 4 Block 5 Block 6 Block 7 Block 8 Block 9
Co
urs
e I S
tud
en
ts
Not Yet Developing Proficient Master No Activity
Academic Planning & Analysis11
* Metrics on software use include all students with at least 10 software sessions; Quantile metrics include students with
10+ software sessions and Math Inventory tests at least eight weeks apart.
• Strongest results are typically achieved when students follow the MATH 180 Instructional Model
daily, and when care is taken to ensure a positive testing environment.
• Recommended daily Brain Arcade time is 10 to 15 minutes.
• Completed Topics indicates students’ work completed on software.
• Teachers should give mSkills tests after the classroom instruction for each Block.
MATH 180 Course I Usage & Growth Metrics
School
MATH 180
Course I
Students
Grade
Range
Mean
mSkills
Tests
Mean
Sessions
& [MAX]
Mean
Sessions
per Week
Mean
Minutes
per
Session
Mean
Completed
Topics
Mean
Current
Topic
Students
With
Quantile
Results*
Mean
Initial
Quantile
Measure
Mean
Current
Quantile
Measure
Mean
Quantile
Change
Percent of
Students
to Gain
100Q+
Nathan Hale Middle School 8 Gr. 7 2 40 [52] 2.5 17 10 11 7 706 706 0 14%
Norwalk High School 41 9 to 10 3 53 [69] 3.1 22 8 18 38 534 512 -22 34%
Ponus Ridge Middle School 111 6 to 8 2 32 [46] 1.9 13 5 6 106 619 713 95 43%
Roton Middle School 35 6 to 8 2 44 [66] 2.6 14 7 10 35 449 685 237 86%
West Rocks Middle School 129 6 to 8 2 28 [58] 2.1 15 5 6 128 463 627 164 67%
MATH 180 Course I
Sotware Gains Totals324 6 to 10 2 35 [69] 2.2 15 5 8 314 528 651 122 56%
MATH 180 Course I Software Usage MATH 180 Course I Quantile Growth Metrics
Academic Planning & Analysis
Average Quantile Gains by Topics CompletedGains and Usage Levels for MATH 180 Course I Students
12
Spring
proficiency
cutoffs by grade
These charts partition students into
five groups of approximately equal
size, by their number of completed
topics.
Research shows that students get
the most benefit when making
consistent use of MATH 180
software.
Avg Topics:0.8
Avg Topics:2.7
Avg Topics:4.4
Avg Topics:6.3
Avg Topics:10.3
Bottom Fifth:39 Students
Second Fifth:56 Students
Middle Fifth:75 Students
Fourth Fifth:63 Students
Top Fifth:81 Students
Topic Completion Groups
457 455
502
591 588590554
617
695
743
K: 10Q
Gr 1: 260Q
Gr 2: 405Q
Gr 3: 625Q
Gr 4: 715Q
Gr 5: 820Q
Gr 6: 870Q
Gr 7: 950Q
Gr 8: 1030Q
Bottom Fifth:39 Students
Second Fifth:56 Students
Middle Fifth:75 Students
Fourth Fifth:63 Students
Top Fifth:81 Students
Average Initial Quantile Measure
Average Current Quantile Measure
MATH 180 Course IIUsage and Growth Reports
Academic Planning & Analysis
Initial Growth Mindset ResultsFor Students Using MATH 180 Course II
14
Students determine their Mindset Profile by taking a Mindset Scan at the
start of Course II. The profiles reflect to what extent the students believe that
intelligence and talent can be developed through dedication and hard work.
2
28
61
18
Fixed Mostly Fixed Mixed Mostly Growth Growth
Nu
mb
er
of
Stu
de
nts
Academic Planning & Analysis
• Reflects 109 students in MATH 180 Course II with 10+ software sessions in the 2016–2017 school year.
• Since students may need to use MATH 180 Course II for two years, the metrics above show cumulative progress,
which may include work from a previous school year.
• To complete the Success Zone for a Block, a student must finish the Block’s Learn Zone software activities and the
Success Zone formative assessments for each of the Block’s three Topics.
• A student takes the mSkills summative assessment after classroom instruction for the Block, and may score higher
after having also completed the block’s Success Zone tests.
15
Total Students by MATH 180 Course II BlockMATH 180 Course II Success Zone and mSkills Test Progress as Measures of Learning
Systems of
EquationsFunctions
Graphs in the
Plane
Linear
Relationships
Proportional
Relationships
Percent &
Proportional
Reasoning
Ratio
RelationshipsRate & RatioRates in Time
1
108
58
8
101
74
45
30
149
4 2 1
No Blocks Block 1 Block 2 Block 3 Block 4 Block 5 Block 6 Block 7 Block 8 Block 9
Co
urs
e II S
tud
en
ts
mSkills Success Zone
Academic Planning & Analysis16
Total Students by MATH 180 Course II BlockMATH 180 Course II Overall Performance
Systems of
EquationsFunctions
Graphs in the
Plane
Linear
Relationships
Proportional
Relationships
Percent &
Proportional
Reasoning
Ratio
RelationshipsRate & RatioRates in Time
• Above indicates students’ Overall Performance by Block for MATH 180 Course II.
• Reflects 109 students in MATH 180 Course II with 10+ software sessions in the 2016–2017 school year.
3 117
4 112
38 44
26
12 7 3 2
9535
1
3
22
1 1
1
26
60
78
95 100 105 107 108
Block 1 Block 2 Block 3 Block 4 Block 5 Block 6 Block 7 Block 8 Block 9
Co
urs
e II S
tud
en
ts
Not Yet Developing Proficient Master No Activity
Academic Planning & Analysis17
MATH 180 Course II Usage & Growth Metrics
* Metrics on software use include all students with at least 10 software sessions; Quantile metrics include students with
10+ software sessions and Math Inventory tests at least eight weeks apart.
• Strongest results are typically achieved when students follow the MATH 180 Instructional Model
daily, and when care is taken to ensure a positive testing environment.
• Recommended daily Brain Arcade time is 10 to 15 minutes.
• Completed Topics indicates students’ work completed on software.
• Teachers should give mSkills tests after the classroom instruction for each Block.
School
MATH 180
Course II
Students
Grade
Range
Mean
mSkills
Tests
Mean
Sessions
& [MAX]
Mean
Sessions
per Week
Mean
Minutes
per
Session
Mean
Completed
Topics
Mean
Current
Topic
Students
With
Quantile
Results*
Mean
Initial
Quantile
Measure
Mean
Current
Quantile
Measure
Mean
Quantile
Change
Percent of
Students
to Gain
100Q+
Nathan Hale Middle School 29 Gr. 8 2 46 [58] 2.9 24 14 15 28 778 865 87 54%
Norwalk High School 41 9 to 10 2 40 [53] 2.6 25 8 9 39 623 716 93 51%
Ponus Ridge Middle School 31 Gr. 8 1 24 [28] 1.9 15 4 5 29 726 776 50 31%
Roton Middle School 8 Gr. 8 1 41 [50] 2.7 17 7 8 8 698 768 69 25%
MATH 180 Course II
Sotware Gains Totals109 8 to 10 2 37 [58] 2.5 21 8 9 104 699 777 77 44%
MATH 180 Course II Software Usage MATH 180 Course II Quantile Growth Metrics
Academic Planning & Analysis
Average Quantile Gains by Topics CompletedGains and Usage Levels for MATH 180 Course II Students
18
Spring
proficiency
cutoffs by grade
These charts partition students into
five groups of approximately equal
size, by their number of completed
topics.
Research shows that students get
the most benefit when making
consistent use of MATH 180
software.
Avg Topics:2.5
Avg Topics:5.3
Avg Topics:7.0
Avg Topics:10.2
Avg Topics:17.2
Bottom Fifth:19 Students
Second Fifth:27 Students
Middle Fifth:9 Students
Fourth Fifth:28 Students
Top Fifth:21 Students
Topic Completion Groups
697668 676 687
768745
712736
805
870
K: 10Q
Gr 1: 260Q
Gr 2: 405Q
Gr 3: 625Q
Gr 4: 715Q
Gr 5: 820Q
Gr 6: 870Q
Gr 7: 950Q
Gr 8: 1030Q
Bottom Fifth:19 Students
Second Fifth:27 Students
Middle Fifth:9 Students
Fourth Fifth:28 Students
Top Fifth:21 Students
Average Initial Quantile Measure
Average Current Quantile Measure
Student PlacementMATH 180 Course I
MATH 180 Course II
Academic Planning & Analysis
Quantile® Measures and Student PlacementHow Do Students’ Quantile Measures Reflect MATH 180 Need?
• Students below 200Q (the red range) need Tier 3 math intervention.
• Students in the blue range are likely to benefit from MATH 180 Course I.
• Students in the purple range are likely to benefit from MATH 180Course I, but may be ready to start in Block 4.
• Students in the olive range are likely to benefit from MATH 180Course II.
• Students in the green range are likely to benefit from MATH 180Course II, but may be ready to start in Block 5.
• Students in the gold range should be able to handle the core curriculum.
• The spring proficiency cutoff for the prior grade is marked for each column for reference.
• Always use multiple measures when making student placement decisions.
• In high school grades, place students according to need.
20
Quantile Measure Grade 5 Grade 6 Grade 7 Grade 8 Grade 9Grade 10
& Up
1100Q to 1145Q
1050Q to 1095Q
1000Q to 1045Q
950Q to 995Q
900Q to 945Q
850Q to 895Q
800Q to 845Q
750Q to 795Q
700Q to 745Q
650Q to 695Q
600Q to 645Q
550Q to 595Q
500Q to 545Q
450Q to 495Q
400Q to 445Q
350Q to 395Q
300Q to 345Q
250Q to 295Q
200Q to 245Q
150Q to 195Q
100Q to 145Q
50Q to 95Q
EM to 45Q
Pre-multiplication Math Foundations Content
Optional Block 4 Promotion
Candidate for
MATH 180 Course II
MATH 180 Course I
G9=1140Q
G8=1030Q
G7=950Q
G6=870Q
G5=820Q
G4=715Q
Academic Planning & Analysis
Quantile Measures and Student PlacementHow Many Students Fall into Each 50Q Band?
21
• Above reflects this year’s initial Math Inventory test for each student enrolled in MATH 180.
• Always use multiple measures to determine appropriate student placement.
Core Math Instruction
MATH 180 Course II
(Block 5)
MATH 180 Course II
(Block 1)
MATH 180 Course I
(Block 4)
MATH 180 Course I
(Block 1)
Tier 3 Intervention
Recommendations Key
Quantile Measure Grade 5 Grade 6 Grade 7 Grade 8 Grade 9 Grade 10 & Up
1100Q to 1145Q
1050Q to 1095Q
1000Q to 1045Q 1
950Q to 995Q 2 5 1
900Q to 945Q 6 11 1
850Q to 895Q 11 11 4
800Q to 845Q 8 13 1
750Q to 795Q 3 19 26 3
700Q to 745Q 5 12 24 8
650Q to 695Q 6 19 17 10
600Q to 645Q 13 12 8 14
550Q to 595Q 7 11 18 7
500Q to 545Q 8 9 12 8
450Q to 495Q 9 7 9 9
400Q to 445Q 9 11 7 4 1
350Q to 395Q 7 11 6 2
300Q to 345Q 7 7 2 4
250Q to 295Q 4 8 3 1
200Q to 245Q 4 2 1
150Q to 195Q 1 3 1
100Q to 145Q 2 1 2
50Q to 95Q 1 1 1
EM to 45Q 5 4 2 1
Academic Planning & Analysis
Average Initial Quantile Measures by Grade
22
See previous slides for placement recommendations by Quantile measure and grade.
Spring
proficiency
cutoffs by grade
471543 563 540
250
740
638
260
K: 10Q
Gr 1: 260Q
Gr 2: 405Q
Gr 3: 625Q
Gr 4: 715Q
Gr 5: 820QGr 6: 870Q
Gr 7: 950Q
Gr 8: 1030Q
Grade 6 Grade 7 Grade 8 Grade 9 Grade 10
Average Initial Quantile Course I Average Initial Quantile Course II
Academic Planning & Analysis
Placement Fidelity, Usage, and GainsHow Actual Placement and Recommended Placement Relate to Progress
23
The top chart shows how
actual placement (gray)
aligns with
recommended
placement (gold). The
table at bottom shows
how usage and Quantile
gains correlate to
placement fidelity.
Always use multiple
measures to determine
appropriate student
placement.
Core Math
MATH 180
Course II
Block 5
MATH 180
Course II
Block 1
MATH 180
Course I
Block 4
MATH 180
Course I
Block 1
Tier 3
Intervention
54 24 19 15 3
5 4 6 14 13 3
114 14 20 67 37 4
Recommended
Totals173 42 45 96 53 7 416
MATH 180 Course I
Block 445
MATH 180 Course I
Block 1256
Recommended Placement
Actual
Placement
Actual
Totals
MATH 180 Course II
Block 5
MATH 180 Course II
Block 1115
PlacementMATH 180
Students
Mean
Software
Sessions
Mean
Topics
Completed
Mean
Change in
Quantile
Above Recommended Level 38 41 6 -104
On Recommended Level 70 33 4 23
Below Recommended Level 308 38 7 159
MATH 180 Totals 416 37 7 112
Academic Planning & Analysis
Average Quantile Gains by Placement FidelityGains and Proper Placement for MATH 180 Students
24
This compares Gains
made by students placed
below the recommended
intervention level, students
placed on the
recommended level, and
students placed above the
recommended level.
Spring
proficiency
cutoffs by grade
Students:38
Students:70
Students:308
Placed AboveRecommended
Level
Placed OnRecommended
Level
Placed BelowRecommended
Level
484444
608
380
467
767
K: 10Q
Gr 1: 260Q
Gr 2: 405Q
Gr 3: 625Q
Gr 4: 715Q
Gr 5: 820QGr 6: 870Q
Gr 7: 950Q
Gr 8: 1030Q
Placed AboveRecommended
Level
Placed OnRecommended
Level
Placed BelowRecommended
Level
Average Initial Quantile Measure
Average Current Quantile Measure
AppendixMATH 180 Background and
Supplemental Reports
Academic Planning & Analysis
Math Inventory Test DurationsHow Often Did Students Take Math Inventory Tests in Less Than 15 Minutes?
26
Students can often complete Math Inventory assessments more
quickly as they gain fluency, but short test durations can indicate
that students did not make their best efforts. Teachers are
advised to check with students when they complete the Math
Inventory in less than 15 minutes.
SchoolMATH 180
Students
First Test > 15 Minutes;
Last Test > 15 Minutes
First Test < 15 Minutes;
Last Test > 15 Minutes
First Test > 15 Minutes;
Last Test < 15 Minutes
First Test < 15 Minutes;
Last Test < 15 Minutes
Nathan Hale Middle School 35 35
Norwalk High School 77 75 2
Ponus Ridge Middle School 133 133
Roton Middle School 43 42 1
West Rocks Middle School 128 127 1
District Totals 416 412 1 2 1
Academic Planning & Analysis
MATH 180 Course I Overall PerformanceTotal Students by Performance on Completed Topics and mSkills Tests
27
• Above data shows that students typically score Proficient or Master level in each completed Topic
of the MATH 180 Course I program.
• Overall Performance incorporates mSkills and Success Zone test scores as well as Learn Zone
and Brain Arcade activity statistics into a single measure of student performance and ability.
Block 1 Block 2 Block 3 Block 4 Block 5 Block 6 Block 7 Block 8 Block 9
Both Sides
of Zero
Decimal
Operations
Decimals &
Place Value
Fraction Mult
& DivFraction
Relationships
Fraction
ConceptsDivision
Distributive
Property
Multiplicative
Thinking
0
50
100
150
200
250
300
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
Co
urs
e I S
tud
en
ts
Not Yet Developing Proficient Master
Academic Planning & Analysis
MATH 180 Course II Overall PerformanceTotal Students by Performance on Completed Topics and mSkills Tests
28
• Above data shows that students typically score Proficient or Master level in each completed Topic
of the MATH 180 Course II program.
• Overall Performance incorporates mSkills and Success Zone test scores as well as Learn Zone
and Brain Arcade activity statistics into a single measure of student performance and ability.
Block 1 Block 2 Block 3 Block 4 Block 5 Block 6 Block 7 Block 8 Block 9
Systems of
EquationsFunctions
Graphs in the
Plane
Linear
Relationships
Proportional
Relationships
Percent &
Proportional
Reasoning
Ratio
RelationshipsRate & RatioRates in Time
0
20
40
60
80
100
120
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
Co
urs
e II
Stu
de
nts
Not Yet Developing Proficient Master
Academic Planning & Analysis
MATH 180 Model and Usage ExpectationsSet Realistic and Attainable Goals for Implementation
Whole
Class
(5 Min)
MATH 180 Software (20 – 25
Min)
Group Instruction
(20 – 25 Min)
Brain Arcade
Any Time,
Anywhere
Metric Mid-Year End-of-Year
Sessions 50 + 100 +
Minutes per Session 16 & Up 16 & Up
Blocks [Software] 2 to 3 4 & Up
HMH Math Inventory
Total Tests2 or 3
Tests
3 to 5 Tests
Goal is 10+
Minutes per Day
29
Set a goal of 15–20 software sessions per month of implementation.
Academic Planning & Analysis
MATH 180 ContentTwo Courses, Nine Blocks per Course, Three Topics per Block
30
Optional
Promotion
Course
II
Optional
Promotion
Multiplicative
Thinking
Block
1Distributive
Property
Block
2 DivisionBlock
3
Fraction
Multiplication
& Division
Block
6Fraction
Relationships
Block
5Fraction
Concepts
Block
4
Decimals and
Place Value
Block
7Decimal
Operations
Block
8Both Sides
of Zero
Block
9
Ratio
Relationships
Block
3
Linear
Relationships
Block
6
Systems of
Equations
Block
9Functions
Block
8
Proportional
Relationships
Block
5
Rate and RatioBlock
2Rates in Time
Block
1
Percent &
Proportional
Reasoning
Block
4
Graphs in
the Plane
Block
7
Course
IMultiplicative
Thinking
Academic Planning & Analysis
College and Career Ready Quantile Measure Proficiency Spring Targets for Performance Bands – What is Proficiency on July 15th ?
As many states adopt more rigorous standards for content and assessment, HMH has partnered with MetaMetrics to determine what
Quantile Measure performance would best prepare students to be college ready in the 21st century. The Math Inventory Quantile
Measure performance bands above have been implemented as part of SAM and gains reports since Fall 2014.
Grade Below Basic Basic Proficient Advanced
K EM400Q – EM190Q EM185Q – 5Q 10Q – 175Q 180Q & Above
1 EM400Q – 60Q 65Q – 255Q 260Q – 450Q 455Q & Above
2 EM400Q – 205Q 210Q – 400Q 405Q – 600Q 605Q & Above
3 EM400Q – 425Q 430Q – 620Q 625Q – 850Q 855Q & Above
4 EM400Q – 540Q 545Q – 710Q 715Q – 950Q 955Q & Above
5 EM400Q – 640Q 645Q – 815Q 820Q – 1020Q 1025Q & Above
6 EM400Q – 700Q 705Q – 865Q 870Q – 1125Q 1130Q & Above
7 EM400Q – 770Q 775Q – 945Q 950Q – 1175Q 1180Q & Above
8 EM400Q – 850Q 855Q – 1025Q 1030Q – 1255Q 1260Q & Above
9 EM400Q – 940Q 945Q – 1135Q 1140Q – 1325Q 1330Q & Above
10 EM400Q – 1020Q 1025Q – 1215Q 1220Q – 1375Q 1380Q & Above
11 EM400Q – 1150Q 1155Q – 1345Q 1350Q – 1425Q 1430Q & Above
12 EM400Q – 1190Q 1195Q – 1385Q 1390Q – 1505Q 1510Q & Above
31