Question Sets for Grade 6 - Calculus III

Each Question Set is aligned to state standards and focuses on a specific math topic, supporting differentiated practice, formative assessments, and summative evaluations from classroom to district level.  Sets can be implemented as-is or modified to align with specific learning objectives, instructional pacing, and classroom needs.

Individual Student Learning

Derivita’s Dynamic Questions enable educators to address the specific needs of every learner. By aligning questions to state standards and popular courses, the platform simplifies preparation while supporting differentiated, mastery-based learning at the individual level.

• Progress Monitoring: Track individual mastery over time with detailed analytics, empowering educators to deliver timely interventions.

• Personalized Practice: Generate unlimited question variations tailored to individual student needs, promoting deliberate practice and skill development.

• Immediate Feedback: Questions can automatically deliver targeted, actionable feedback to students in real time, allowing teachers to focus on guiding instruction.

• Adaptable Content: Teachers can modify questions to accommodate unique student needs, ensuring equitable access to rigorous math instruction.

Whole-Class Instruction

Derivita enhances classroom engagement and participation through tools designed for active learning. The platform’s SpotCheck feature fosters whole-class interaction and ensures every student has a voice in the learning process.

• Real-Time Insights: Gain instant visibility into class-wide performance, allowing for data-informed adjustments to instruction.

• SpotCheck: Engage the entire class with real-time participation tools that encourage collaboration and uncover learning gaps.



• Aligned and Adaptable: Questions are aligned to standards and popular courses but can be customized to fit classroom goals, making transitions between instruction and formative assessment seamless.

• Immediate Feedback Options: Questions can automatically provide students with targeted feedback during practice and lessons, lightening the teacher’s cognitive load.

School-Level Implementation

At the school level, Derivita empowers Professional Learning Communities (PLCs) and administrators with tools for standardized instruction, content curation, and data-driven decision-making.

• Actionable Analytics:  Inform school-wide strategies, leveraging insights at the classroom and PLC levels to guide instructional improvements.

• Collaborative Content Sharing: Facilitate content creation, curation, and sharing among PLCs and educators, along with proven best practices.

• Standards-Aligned Assessments: Implement consistent, aligned assessments across all classrooms, ensuring equitable instruction.

District-Wide Benefits

Derivita provides districts with a unified, scalable platform that supports math instruction, assessment, and analytics, reducing costs while increasing teacher adoption through seamless LMS integration.

• District-Wide Insights: Provide real-time data and reporting at every level, enabling district leaders to monitor progress and make informed decisions.

• Resource and Data Management: Centralize the management of instructional resources and analytics, streamlining district-level operations.



• Common Assessments: Deliver district-wide common assessments that are fully aligned to standards, ensuring consistent evaluation and instructional equity.

• Integrated Platform: Use one platform for math support, assessment, and analytics, all accessible from within the familiarity of the district’s existing LMS. This reduces training and support costs while increasing staff and teacher utilization.

Each Derivita dynamic question generates real-time data that drives actionable analytics throughout the year to inform enhancements to instruction at every level:

• District Dashboards for administrators
• School Dashboards for principals and coaches
• PLC Dashboards
• Teacher/Class Dashboards
• Demographic and Subgroup Analysis