Academics
Curriculum
Mathematics
Carlthorp teachers nurture a growth mindset and students' natural curiosity to build flexible, confident mathematicians who are ready to navigate a changing world.
Making Each Lesson Count
In small and specialized math groups at Carlthorp, numbers come alive through inquiry, collaboration, and discovery. By combining Cognitively Guided Instruction (CGI) with the Eureka Math² curriculum, our teachers listen to how students naturally think, transforming standard lessons into rich problem-solving experiences. From hands-on manipulatives to visual art and lively debate, we guide young learners seamlessly from concrete concepts to abstract mastery.
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Numerical Know-How
GRADES K-2
In the early years, mathematics is a hands-on adventure. We inspire a passion for numbers by building deep number sense, place value understanding, and spatial reasoning. Through collaborative games, tactile manipulatives, and daily problem-solving shares, K-2 students learn to articulate their visual thinking, transitioning effortlessly from concrete objects to abstract mathematical symbols with confidence and joy. -
Expanding Horizons
GRADES 3-5
As students mature, math evolves into a powerful tool for analyzing the world. Upper elementary learners tackle multi-digit operations, fractions, decimals, and foundational algebraic reasoning. By exploring rectangular arrays, volume formulas, and coordinate planes, students test multiple solution pathways. This collaborative environment sharpens their mathematical discourse, ensuring fluency, critical thinking, and a deep conceptual understanding. -
Pre-Algebra and Beyond
6TH GRADE
Our 6th grade curriculum provides a rigorous bridge to advanced middle school mathematics through a comprehensive pre-algebra program. Students master linear equations, rational numbers, ratios, and probability while applying skills to real-world consumer math. Graduating students leave Carlthorp with exceptional analytical habits, logical reasoning, and the ultimate confidence to navigate higher-level STEM courses.
Established in 1939, Carlthorp School is the oldest independent coeducational day school for grades K-6 located in Santa Monica, California.