IM v.360 organizes each grade level into eight or nine units that each address a major concept and a group of related standards. The unit titles communicate the major concepts that are covered in each grade level.

One way to visualize the content connections is by mapping where each domain of the California Common Core State Standards for Mathematics is covered in IM v.360. Each unit generally addresses several related standards within a primary domain, while also making connections to relevant standards in other supporting domains. This structure supports the vertical alignment of the curriculum as a whole. The domain connections diagrams for each grade band demonstrate that the architecture of the curriculum considers more than simply covering individual standards one by one.

All domain-related information has been coded by color/shape to demonstrate similarities and progressions across grade bands. The key is as follows:

• Blue Rhombus:
  • K only: Counting & Cardinality (CC)
• Red Triangle:
  • K–5: Operations & Algebraic Thinking (OA)
  • 6–8: Expressions and Equations (EE)
  • 9–12: HS Algebra (HSA)
• Yellow Rectangle:
  • K–5: Numbers and Operations in Base Ten (NBT)
  • 6–8: The Number System (NS)
  • 9–12: HS Number and Quantity (HSN)
• Orange Pentagon:
  • K–5: Numbers & Operations—Fractions (NF)
  • 6–7: Ratios & Proportional Relationships (RP)
  • 8: Functions (F)
  • 9–12: HS Functions (HSF)
• Purple Hexagon:
  • K–5: Measurement & Data (MD) 
  • 6–8: Statistics & Probability (SP)
  • 9–12: HS Statistics & Probability (HSS)
• Green Circle: 
  • All grade levels: Geometry (G/HSG)

Primary Domains

This chart shows the primary domain addressed in each unit. Other supporting domains are not shown here but are shown in the charts below.

Algebra

The Algebra (HSA) domain is a focus of the Algebra 1 and 2 courses. In Algebra 1, students use the structure of expressions, equations, and inequalities to write equivalent forms and solve problems. In the Geometry course, the domain supports students in solving geometric problems. In Algebra 2, students extend their ability to reason with equations to include rational and exponential expressions and equations.

Number and Quantity

The Number and Quantity (HSN) domain is scattered throughout all three courses to reinforce fluency and extend understanding of number systems. In Algebra 1, students focus on extending the properties of exponents to rational values. In Geometry, students become more fluent in using units and selecting appropriate accuracy levels based on the tools used to measure values. In Algebra 2, students extend their understanding of numbers to include complex numbers and perform operations using the new type of numbers.

Functions

The Function (HSF) domain is a focus of the Algebra courses as it provides students experience with relationships between quantities. In Algebra 1, students interpret and construct functions as relationships between two quantities. In Geometry, students reinforce their understanding of functions in geometric contexts. In Algebra 2, students extend their understanding of functions to polynomial, rational, exponential, and trigonometric functions.

Statistics and Probability

The Statistics and Probability (HSS) domain can be found in each course, often self-contained within its own unit. It is also referenced in other units to support students making sense of real-world data. In Algebra 1, students interpret categorical and quantitative data in one and two variables then use linear models to understand the data. In Geometry, students look at conditional probability and independence of variables to understand the likelihood of events. In Algebra 2, students make inferences and justify conclusions using data and analytical tools.

Geometry

The Geometry (HSG) domain is the application of mathematical structure to shapes. This domain is primarily found in the Geometry course where students follow the thread of using transformations to prove that shapes are congruent or similar as well as other relationships between the angles, lengths, areas, and volumes of various objects. In Algebra 2, students return to geometric contexts and concepts throughout the course.