Real World Maths


These formative performance assessment tasks were designed by the Mathematics Assessment Resource Service (MARS), a project of UC Berkeley, Michigan State, and the Shell Centre in Nottingham England. The tasks provide a platform for professional development in schools and districts as they implement the Common Core State Standards. The tasks can be used to promote discussion about student work and real performance data. These tasks are hosted by Sonoma County Office of Education.

MARS Tasks by Grade Level
Second Grade (pdf)
Third Grade (pdf)
Fourth Grade (pdf)
Fifth Grade (pdf)
Sixth Grade (pdf)
Seventh Grade (pdf)
Eighth Grade (pdf)
High School Course 1 (pdf)
High School Course 2 (pdf)

Visit the Noyce Foundation website for more details and additional lessons, tasks, and tests may also be found at theMathematics Assessment Project website.

The Common Core State Standards for Mathematics (pdf) include content standards for each grade level, as well as eight Standards for Mathematical Practice that describe how students should engage with the subject matter.

Common Core State Standards for Mathematics
CCSS for Mathematics (pdf)
Appendix A: Designing High School Mathematics Courses (pdf)

Mathematics Framework Chapters
Mathematics Standards Maps for Higher Mathematics
Progressions for CCSS Mathematics
Shifts in Practice and “Habits of Mind” (pdf) (from Sonoma County Office of Education)


Achieve the Core | Link
This site provides free, high-quality resources for educators implementing the Common Core State Standards.

Illustrative Mathematics | Link
Illustrative Mathematics illustrates the range and types of mathematical work that students experience via the Common Core State Standards and provides access to tools that support standards implementation.

Inside Mathematics | Link
This site features classroom examples of innovative teaching methods and insights into student learning, tools for mathematics instruction that teachers can use immediately, and video tours of the ideas and materials on the site.

Math Reasoning Inventory (MRI) | Link
MRI is an online formative assessment tool designed to make teachers’ classroom instruction more effective. The MRI questions focus on numbers and operations, based on the Common Core State Standards prior to sixth grade.

Mathematics Assessment Project (MAP) | Link
The Mathematics Assessment Project is working to design and develop well-engineered assessment tools to support schools in implementing the Common Core State Standards.

Progression Documents for the Common Core Math Standards | Link
The University of Arizona’s Institute for Mathematics and Education have developed these narrative documents describing the progression of a topic across a number of grade levels, informed both by research on children’s cognitive development and by the logical structure of mathematics.

Sense-Making in Mathematics | Link
This website from Strategic Education Research Partnership (SERP) is a synthesis of conversations with teachers, videos of teaching mathematics, and curriculum recommendations for a more thinking-oriented rigorous approach to middle school mathematics.