Focus & Coherence
Indicator 1a
The instructional material assesses the grade-level content and, if applicable, content from earlier grades. Content from future grades may be introduced but students should not be held accountable on assessments for future expectations.
AI proposed
The materials demonstrate a deliberately grade-level-aligned assessment system: summative assessment problems all include standard alignment, and the End-of-Course Assessment's longest portion assesses the major work of the grade [E7]. Section checkpoints assess section learning goals and pre-unit diagnostics target prerequisite (earlier-grade) concepts rather than holding students accountable for future content [E2][E1][E3]. Where upcoming-grade ideas appear on pre-unit diagnostics, they are explicitly used for pacing/diagnosis, not graded accountability [E3]. The progressions mapping and standards-alignment design (building on/addressing/building towards) confirm assessments are anchored to grade-level standards [E9][E11], supporting the indicator's full intent.
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Evidence Guide· what the rubric asks for · click to expand
Indicator 1a Materials assess the grade-level content and, if applicable, content from
earlier grades.
Scoring
2 points
● Materials assess grade-level standards or include
above-grade assessment items that could be
removed or modified without impacting the
structure of the materials.
● Above-grade items are mathematically reasonable.
● For Grades K-5, no topics are explicitly assessed
from (i), (ii), or (iii) below.
0 points
● Materials include above-grade assessment items
that, if removed or modified, would impact the
structure of the materials.
OR
● Above-grade items are not mathematically
reasonable.
OR
● For Grades K-5, topics are explicitly assessed from
(i), (ii), or (iii) below.
About this indicator:
What is the purpose of this Indicator?
This indicator, along with indicator 1b, determines the shift of Focus. In order to maintain Focus, materials assess
grade-level standards. Assessments are determined by the publisher and are series-specific. Content from future
grades may be introduced, but students should not be held accountable on assessments for future expectations.
Indicator 1a is focused on the assessments embedded in materials for K-8 grade-level standards which define
what students should understand and be able to do in their study of mathematics .1
Research or Standards connection:
● Common Core State Standards for Mathematics (CCSSM)
● K-8 Publishers' Criteria for the CCSSM (Summer 2012)
● Student Achievement Partners (SAP) Instructional Materials Evaluation Tool for K-8 Mathematics
● Achieve EQuIP Rubric for Lessons & Units
Resources:
● Video: "The Balance Between Skills and Understanding" (The Hunt Institute)
● SAP Coherence Map
● Institute for Mathematics Education Progressions Documents
1 "Common Core State Standards for Mathematics" http://www.corestandards.org/Math/
Indicator 1a Guiding Question:
Do assessments address grade-level standards?
Evidence Collection
Look at all interim, unit, and/or summative assessments. Look at scoring rubrics, if available, to determine
acceptable responses for the items. If all questions are on grade level, provide evidence of assessment items
that are representative of the materials.
For Grades K-5, do the assessments include items addressing the following topics:
(i) Probability, including chance, likely outcomes, and/or probability models?
(ii) Statistical distributions, including center, variation, clumping, outliers, mean,
median, mode, range, and/or quartiles; and statistical association or trends,
including two-way tables, bivariate measurement data, scatter plots, trend
line, line of best fit, and/or correlation?
(iii) Similarity, transformations, and/or congruence?
Identify above-grade-level assessment items. For each item, answer the following questions:
● What above-grade-level standard does the item align to? Please explain.
● What instructional activities, including span of time, are associated with the assessment item?
● If you remove or modify the above-grade-level item and any associated activities, would this impact the
structure of the materials? Please explain.
● Is the above-grade-level item mathematically reasonable? Please explain.
Mathematically Reasonable:
For this indicator, mathematically reasonable consists of two criteria: number of grade-levels above the current
one and time of year when the item occurs. For example, assessing standards that are one grade level above
the current one could be mathematically reasonable, or assessing above-grade-level standards at the end of
the academic year could be mathematically reasonable. To determine if an above-grade-level item is
mathematically reasonable, consider the following questions:
● How many grade levels above is the assessment item?
● What time of year do students encounter the assessment item?
Cluster Meeting
Discuss evidence of grade-level assessment items that are representative of the materials.
Discuss all above-grade-level assessment items and any additional information:
● Which assessment items are mathematically reasonable? Please explain.
● Which assessment items, if removed or modified, would impact the structure of the materials? Please
explain.
Gateway 1: Focus & Coherence
Criterion 1.1 Materials assess grade-level content and give all students extensive work with
grade-level problems to meet the full intent of grade-level standards.
Retrieved evidence (12 chunks)
- E1 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/how-to-assess-progress.htmlrel 0.59
- E2 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/how-to-assess-progress.htmlrel 0.48
- E3 · ms-teacher-guide — im.kendallhunt.com/MS/teachers/diagnostic_assessments.htmlrel 0.48
- E4 · ms-teacher-guide — im.kendallhunt.com/MS/teachers/design_principles.htmlrel 0.47
- E5 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/summative-assessments.htmlrel 0.47
- E6 · ms-teacher-guide — im.kendallhunt.com/MS/teachers/learning_goals_and_targets.htmlrel 0.47
- E7 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/summative-assessments.htmlrel 0.46
- E8 · ms-teacher-guide — im.kendallhunt.com/MS/teachers/about.htmlrel 0.46
- E9 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/about-these-materials.htmlrel 0.45
- E10 · ms-teacher-guide — im.kendallhunt.com/MS/teachers/learning_goals_and_targets.htmlrel 0.45
- E11 · ms-teacher-guide — im.kendallhunt.com/MS/teachers/design_principles.htmlrel 0.45
- E12 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/how-to-use-the-materials.htmlrel 0.45
Evidence is stored as references + retrieval scores (the chunk text isn’t snapshotted); open the source to read the passage in context.