The California Common Core State Standards for Mathematics define what students should understand and be able to do in the study of mathematics. The standards are designed to prepare students for college, careers, and civic life—developing mathematically competent individuals who can use mathematics in their personal lives, at work, and as a means for comprehending and influencing the world in which they live. Explore below to find information regarding IUSD's Mathematics programs.


Standards and Framework

The California Common Core State Standards for Mathematics include two types of standards: Eight Mathematical Practice Standards (identical for Kindergarten - grade 12) and Mathematical Content Standards (different at each grade level). Together these standards address both the “habits of mind” that students should develop to foster mathematical understanding and the content that students need to know and be able to do.

The mathematical content standards were built on progressions of topics across grade levels, informed by research on children’s cognitive development and by the logical structure of mathematics.

The CA Mathematics Framework describe what teaching and learning of Mathematics looks like at teach grade level.

The CA Assessment System (CAASPP) assesses the Mathematical Practice Standards and Content Standards as described in the Achievement Level Descriptors

Translations of the CA Standards for Mathematical Practice (SMP)

SMP - English
SMP - Chinese
SMP - Farsi
SMP - Japanese
SMP - Korean 
SMP - Armenian
SMP - Tagalog
SMP - Spanish

Translations - Brief overviews of the CA Common Core State Standards for Mathematics


K-12 Mathematics Pathways

Placement within the Secondary Mathematics Pathway

IUSD offers an Integrated Mathematics Pathway K-12 to best prepare students for success in college, career, and life. IUSD is committed to the appropriate placement of all students.

IUSD recognizes that the mastery of mathematics prerequisite skills, as indicated in the placement flowcharts, are essential for successful completion of four years of high school mathematics and science courses. Please see flowcharts below for additional information regarding our math placement process and criteria.

As indicated in these flowcharts, to augment appropriate student placement within the secondary math pathway, the placement process has been revised to allow for a more comprehensive picture of student readiness to accelerate. The District’s criteria for placement in middle school mathematics is now based on multiple measures including classroom grades, assessment of grade level standards and prerequisite skills, and teacher appraisal of student readiness. Classroom end of course exams (not to be confused with acceleration tests) will be used to measure mastery of grade-level standards.


New students

Students who are new to IUSD and will be entering either 7th or 8th grade in the 2017-2018 school year are eligible to take the summer math tests. The tests are held during the summer before school starts. Students not participating in summer testing will be placed in the grade-level math course. Incoming seventh graders will be placed in Math 7 and incoming eighth graders will be placed in Math 8.

Registration is now closed.  


Frequently Asked Questions

Still have questions about Integrated Mathematics Pathways? The following page includes a collection of frequently asked questions that will give you more detail about the sequence.


Mathematics Pathway Translations

Chinese (Simplified) (Traditional) (Rev. June 2016)


Elementary Mathematics


Spark Curiosity and Wonder: Kindergarten - Second Grade
Addition and subtraction – concepts, skills, place value and problem solving. Develop early number sense which predicts overall math achievement in later grades.
Supporting my Child’s Mathematical Growth in: Kindergarten | First Grade | Second Grade


Notice, Conjecture, and Generalize Mathematical Properties: Third - Fifth Grade
Multiplication and division of whole numbers and fractions – concepts, skills, and problem solving. Apply and build models to solve problems and better understand how mathematics works with whole numbers, fractions and decimals.
Supporting my Child’s Mathematical Growth in: Third Grade | Fourth Grade | Fifth Grade


Middle School Mathematics

Middle school mathematics is key to success for all students in preparing for future mathematics and science coursework in High School. These are especially important years for students to complete developing their skills with operations on rational numbers and delve into the multiplicative thinking demanded by proportional reasoning. Proportional reasoning is a transitional topic that falls between arithmetic and algebra.


Expand upon Arithmetic to Analyze and Model Algebraic Thinking: Grade Six - Grade Seven
Ratios and proportional relationships; expressions and equations; arithmetic of rational numbers. Understand ratio concepts. Use ratio reasoning to solve problems, represent and analyze quantitative relationships between dependent and independent variables.
Supporting my Child’s Mathematical Growth in: Grade Six | Grade Seven (CA Framework Chapters).


Apply Understanding of Proportional Reasoning to Solve Linear Equations: Grade 8
Work with integer exponents and radicals. Analyze and solve linear equations. Define, evaluate, and compare functions. Use functions to model relationships between quantities.
Supporting my Child’s Mathematical Growth in: Grade 8 (CA Framework Chapter).


High School Mathematics

High School mathematics rigorous curriculum and instruction hones students’ conceptual understanding, procedural skill and fluency and the ability to apply mathematics. Students will develop the skills to be able to problem-solve creatively and not be satisfied by just arriving at an answer, thus meeting the challenges of the 21st century.

The higher mathematics standards specify the mathematics that all students should study in order to be college and career ready.


Additional Resources for Parents