This framework draws on math vision and policy from several leading Bay Area districts — and goes further than most. It defines both a multi-tiered support system and clear pathways for extension and advanced coursework, while integrating proofs progressively across grade levels alongside algebra and data science. Rather than forcing schools to choose between the two, the curriculum treats both as essential threads woven throughout. The California Math Framework 2023 left several key questions unanswered for districts to solve on their own. This vision bridges that gap.
CA Math Framework 2023UC a–g alignedTK–12Draft 2025
Core pathway
Support / intervention
Accelerated
Advanced / college-prep
Decision point
K
1
2
3
4
5
6
7
8
9
10
11
12
Core
K
1
2
3
4
5
6
7
8
9
10
11
12
Support
3–5
6
7
gate
9
10
11
12
Accel
gate
8
9
10
11
12
Advanced
9–10
10–11
11
12
Click any course to see details and rationale.
TK – 2nd grade
Joyful exploration — no acceleration pressure at this stage
Core outcomes — all students
Number sense & place value
Fluency: add & subtract
Geometry, measurement & data
Data collection & interpretation
Mathematical communication
Extensions — advanced pathway
Visual models for complex relationships
Multi-step & non-routine problems
Early algebraic thinking
Generalize patterns & rules
Construct & critique arguments
Select any outcome to see the full description.
3rd – 5th grade
Building fluency and algebraic readiness
Core outcomes — all students
Multi-digit operation fluency
Fractions as numbers
Decimals & fractions
Area, perimeter & shapes
Algebraic readiness
Real-world problem solving
Data, variability & justification
Extensions — advanced pathway
Complex multi-step problems
Deep multiplicative reasoning
Algebraic structure
Represent relationships
Generalize & justify rules
Structured mathematical arguments
Geometric reasoning & data analysis
Select any outcome to see the full description.
6th – 8th grade
Algebra I available in middle school based on readiness — counts toward UC a–g with a grade of C or better
Core outcomes — all students
Rational number fluency
Ratios & proportional relationships
Linear equations & variables
Geometry: area, volume & 3D
Mathematical modeling
Bivariate data & scatter plots
Center & variability
Data representations & slope
Extensions — advanced pathway
Holistic acceleration criteria
Rich non-routine problems
Deep algebraic reasoning
Multiple representation fluency
Informal proof & geometric reasoning
Construct logical arguments
Data to test conjectures
Select any outcome to see the full description.
9th – 12th grade
All students complete UC a–g requirements — multiple rigorous, equally valid endpoints
Core outcomes — all students
UC a–g: Algebra I, Geometry, Algebra II
Statistics as complement, not replacement
Real-world application & communication
Statistical analysis
Mathematical modeling
Probability & model interpretation
Extensions — advanced pathway
AP pathway
IB pathway
Proof & mathematical reasoning
Deep algebraic reasoning
Data science as application layer
Dual enrollment & independent research
Select any outcome to see the full description.
IB & AP pathways both qualify for UC/CSU a–g admission
Guiding principles
No permanent tracking
Every pathway has intentional on-ramps and off-ramps. A student in support at grade 6 can reach AP Calculus by grade 12 with the right instruction and support.
Support alongside, not instead of
Intervention students still access grade-level content. Support is additive — it builds capacity rather than routing students into a permanently lower track.
Holistic acceleration decisions
Placement uses teacher judgment, diagnostic data, and student readiness together — never a single test score. Equity is built into the process, not applied after the fact.
Multiple valid endpoints
Statistics, data science, IB Applications, and applied math are equally rigorous, college-qualifying endpoints. Calculus is one path among several — not the only sign of success.
Data science as application layer
Statistics and data literacy run through every pathway as tools for mathematical thinking — not as replacements for algebra, geometry, or calculus.
Aligned to CA Math Framework
This vision reflects the 2023 CA Mathematics Framework's emphasis on deep understanding, integrated courses, and equitable access across every grade band.