Usability
Indicator 3b
Materials contain adult-level explanations and examples of the more complex grade-level/course-level concepts and concepts beyond the current course so that teachers can improve their own knowledge of the subject.
AI proposed
The materials contain a curated set of adult-level articles and essays (by McCallum, Umland, Gray, Phillips, etc.) explicitly providing explanations of complex grade-level concepts—e.g., fraction division with justification for invert-and-multiply [E8], equivalent fractions as units [E9], order of operations [E3]—satisfying the grade-level component. They also include explanations of concepts beyond the current course, such as the number line's role from K–12 [E1], trigonometric ratios, and the path 'beyond to irrational units' [E8,E9], plus a mapping of CCSS Progressions documents per unit [E11], satisfying the beyond-course component. Unit, lesson, and activity narratives and grade-level overviews (e.g., [E2,E7,E12]) further deepen teacher understanding of the mathematics and its progression, meeting BOTH required components.
Your decision
The AI’s score is preserved — your decision is recorded alongside it. Accept / Skip advance to the next flagged indicator.
Evidence Guide· what the rubric asks for · click to expand
Indicator 3b Materials contain adult-level explanations and examples of the more complex
grade-level/course-level concepts and concepts beyond the current course so
that teachers can improve their own knowledge of the subject.
Scoring
2 points
● Materials contain adult-level
explanations and examples of
the more complex
grade/course-level concepts so
that teachers can improve their
own knowledge of the subject.
AND
● Materials contain adult-level
explanations and examples of
concepts beyond the current
course so that teachers can
improve their own knowledge
of the subject.
1 point
● Materials contain adult-level
explanations and examples of
the more complex
grade/course-level concepts so
that teachers can improve their
own knowledge of the subject.
OR
● Materials contain adult-level
explanations and examples of
concepts beyond the current
course so that teachers can
improve their own knowledge
of the subject.
0 points
● Materials do not contain
adult-level explanations and
examples of the more complex
grade/course-level concepts so
that teachers can improve their
own knowledge of the subject.
AND
● Materials do not contain
adult-level explanations and
examples of concepts beyond
the current course so that
teachers can improve their own
knowledge of the subject.
About this indicator:
What is the purpose of this Indicator?
This indicator examines the materials to determine whether they deepen teacher understanding of mathematical
concepts and the mathematical practices so that teachers can improve their own knowledge of the subject.
Indicator 3b Guiding Question:
Do the materials contain adult-level explanations and examples of the more complex grade/course-level
concepts and concepts beyond the current course so that teachers can improve their own knowledge of the
subject?
Evidence Collection
Review the materials, both print and digital (if available), across the series.
Look for and record evidence to:
● Describe if and how the materials provide complete adult-level explanations and examples that support
the teacher in developing their own understanding of the content and expected student practices.
Cluster Meeting
Discuss and answer the following questions to support consensus scoring conversations:
● Where are supports provided for teachers to develop their own understanding of more advanced,
grade-level concepts?
● Where are supports provided for teachers to develop their own understanding of concepts beyond the
current course?
Gateway 3: Usability
Criterion 3.1 The program includes opportunities for teachers to effectively plan and utilize
materials with integrity and to further develop their own understanding of the
content.
Retrieved evidence (12 chunks)
- E1 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/about-these-materials.htmlrel 0.80
- E2 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/design-principles.htmlrel 0.51
- E3 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/about-these-materials.htmlrel 0.47
- E4 · ms-teacher-guide — im.kendallhunt.com/MS/teachers/how_to.htmlrel 0.46
- E5 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/about-these-materials.htmlrel 0.46
- E6 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/design-principles.htmlrel 0.45
- E7 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/design-principles.htmlrel 0.45
- E8 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/about-these-materials.htmlrel 0.44
- E9 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/about-these-materials.htmlrel 0.44
- E10 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/design-principles.htmlrel 0.43
- E11 · k5-teacher-guide — im.kendallhunt.com/k5/teachers/teacher-guide/about-these-materials.htmlrel 0.43
- E12 · grade-8 — im.kendallhunt.com/MS/teachers/3/7/resources.htmlrel 0.43
Evidence is stored as references + retrieval scores (the chunk text isn’t snapshotted); open the source to read the passage in context.