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Logicus Math Grade 1From $3,499

Logicus Math Grade 1

Logicus Larchmont · Co-op City

At Logicus, our first-grade Conceptual Analytical Mathematics (CAM) curriculum exposes students to foundational mathematical concepts inspired by the best practices of Singapore and Russian Math curriculums: Specific Topics Covered: Introduction to Algebraic Equations: Students will be introduced to the concept of balance and equality, forming the foundation for equation solving and algebra. They will start by interpreting and creating number sentences using the equal sign correctly. For instance, understanding that in a correct equation, the amount on one side of the equal sign must be the same as the amount on the other side. Process Skills in Problem Solving : Students will develop competency in thinking skills and problem solving heuristics through meaningful and challenging activities such as Make a Systematic List, Visualization, Before-After Concept, Guess and Check, Replacement Concept, Look For A Pattern (Numbers and Shapes), Draw a Diagram. Expanded Addition and Subtraction : We'll cover adding and subtracting numbers using visualization and mental arithmetic techniques inspired by Singapore Math and Russian Math's focus on a deep comprehension of mathematical operations such as Part-Whole Model Diagram, More/Less Than Concept, Before/After Concept, Difference Concept, Internal Transfer Concept. Number Sense and Place Value: A deeper understanding of numbers, including place value up to hundreds, and advanced operations (addition and subtraction within 100, introduction to multiplication and division). Geometry and Spatial Sense: More complex shape recognition and naming, understanding symmetry, and introducing the concept of area and perimeter. Measurement: Reading clocks, calendars, understanding units of length, weight, and volume, and introduction to temperature. Data Handling: Representing data in bar graphs, pictographs, and basic analysis of collected data. Algebraic Thinking: Understanding more complex patterns, solving simple equations, and introduction to variables. Through CAM, we ensure students build a solid mathematical foundation while nurturing their problem-solving and critical-thinking skills. The program consists of a 75-minute class each week for the academic year. Reach out to us at info@logicus.school or 914-243-1431 (Larchmont campus) and 718-247-4133 (Park Slope campus) for any questions. Thanks for choosing Logicus!

Ages 6–7Course
Logicus Math Grade 2 HonorsFrom $3,910

Logicus Math Grade 2 Honors

Logicus Larchmont · Co-op City

In second grade Honors at Logicus, students will delve deeper into our Conceptual Analytical Mathematics (CAM) program, drawing upon the strengths of both the Singaporean and Russian mathematical teaching methods. This curriculum will cover the following: Introduction to Algebraic Equations : Students will be introduced to the concept of balance and equality, forming the foundation for equation solving and algebra. They will start by interpreting and creating number sentences using the equal sign correctly. For instance, understanding that in a correct equation, the amount on one side of the equal sign must be the same as the amount on the other side. Process Skills in Problem Solving : Students will develop competency in thinking skills and problem solving heuristics through meaningful and challenging activities such as Make a Systematic List, Inverse Operation Concept, Replacement Concept, Look For A Pattern (Numbers and Shapes), Draw a Diagram, Make a Supposition. Expanded Addition and Subtraction : We'll cover adding and subtracting numbers using visualization and mental arithmetic techniques inspired by Singapore Math and Russian Math's focus on a deep comprehension of mathematical operations such as Model Diagram, More/Less Than Concept, Before/After Concept, Difference Concept, Internal Transfer Concept. Multiplication and Division : Part-Whole Model, Model Diagram, Repeated Addition Concepts, Equal Grouping Concept, Equal Sharing Concept. Further Geometry Exploration : The curriculum explores more complex geometric shapes, reflecting Russian Math's focus on geometric intuition and proof-based reasoning. Measurement and Data : Students will learn to measure lengths in standard units and grasp time concepts, reinforcing practical math skills. The Algebraic Thinking component in Logicus Math Grade 2 seeks to introduce students to the basic principles of algebra, laying the groundwork for more advanced studies in later grades. Understanding Patterns : Students will explore number and shape patterns, learning to predict and explain what comes next. They will gain an understanding of simple sequences and rules, leading to the concept of mathematical relationships. Basic Operations in Equations: Students will apply their understanding of addition and subtraction to solve simple equations. They'll begin to understand the relationship between addition and subtraction, as well as the idea of an "unknown" in an equation. Problem Solving with Equations : Students will practice translating real-world problems into simple equations, learning to use mathematics as a tool for problem-solving. They'll gain experience in formulating equations to represent problems and then solving them. This section of the course sets the foundation for algebraic thinking, preparing students for more complex mathematical reasoning and problem-solving. The program includes a 90-minute class each week throughout the academic year. For any inquiries, please reach out to us at info@logicus.school or 917-295-2001.

Ages 7–8Course
Logicus Math Grade 4 HonorsFrom $3,910

Logicus Math Grade 4 Honors

Logicus Larchmont · Co-op City

This course is designed for high-performing students. Topics covered include: Process Skills in Problem Solving: Students will develop competency in thinking skills and problem solving heuristics through meaningful and challenging activities such as: Make a Systematic List, Inverse Operation Concept, Replacement Concept, Look For A Pattern (Numbers and Shapes), Draw a Diagram, Make a Supposition. Multiplication : The distributive property, multi-digit multiplication, using algorithms, the units digit. Exponents : Computing powers, order of operations, perfect squares, binary notation (base-2). Counting : Counting lists, choices, Venn diagrams, Factorials, and counting pairs. Division : Special quotients, dividing multiples of powers of 10, long division, divisibility. Logic : Logic puzzles, grid puzzles, liars, and truth-tellers. Factors : Primes, divisibility, prime factorization, factor trees. Fractions : Adding, subtracting, and converting fractions and mixed numbers; multiplying fractions and mixed numbers and dividing by unit fractions. Integers : Understanding negatives. Adding and subtracting positive and negative integers. Decimals : Place value, converting between fractions and decimals, comparing and ordering decimals. Probability : Counting strategies review, coins, dice, random events, and geometric probability. Data Analysis : Students will construct, interpret, and draw conclusions from various types of graphs. Geometry and Measurement : Students will engage with more advanced geometric concepts, including angle measurement, parallel and perpendicular lines, symmetry, and calculation of area and perimeter. The geometric intuition and proof-based approach of Russian Math are combined with Singapore Math's visual and hands-on learning techniques. Algebraic Thinking: Patterns, relationships, simple equations, and introduction to expressions. The Algebraic Thinking section of Logicus Math Grade 4 Honors advances students' understanding of algebraic concepts, helping them explore more intricate number patterns and relationships, comprehend the use of variables in more complex scenarios, and solve multi-step equations. This course cultivates an enhanced understanding of mathematical principles, critical thinking, and problem-solving skills and nurtures a sustained passion for mathematics. Subtopics: Advanced Patterns and Relationships: Students will study more complex numerical and geometric patterns, developing their ability to express patterns and relationships using algebraic expressions and equations. Working with Variables: Students will gain proficiency in using variables to represent unknown quantities in more complex mathematical expressions and equations. They'll understand how variables can represent one or many numbers and how they are used to solve problems. Solving Multi-step Equations: Building on their equation-solving skills, students will learn to solve multi-step equations that involve multiple operations. They'll learn strategies such as balancing equations, using inverse operations, and performing operations in the correct order. Real-world Applications: Students will continue to apply their algebraic thinking to real-world problems. They'll translate complex situations into algebraic equations, using variables and equations to solve these problems. The CAM program at Logicus continues to foster problem-solving and critical thinking skills, ensuring a well-rounded mathematical education. The program includes a 90-minute class each week throughout the academic year. For any inquiries, please contact us at info@logicus.school or 914-243-1431. Thank you for considering Logicus!

Ages 9–10Course
Logicus Math Grade 5 HonorsFrom $4,023

Logicus Math Grade 5 Honors

Logicus Larchmont · Co-op City

This course is designed for high-performing students. Topics covered include number theory, reasoning, and proofs; number systems in different bases; word problems and modeling with equations and inequalities; percents, patterns, and sequences; relations; Pythagorean theorem proof and Pythagorean triplets; properties of parallel and perpendicular lines; geometrical construction problems, statistics, counting and probability, and more! Grade 5 Honors prepares students for the rigors of algebra and teaches them problem-solving techniques for middle school math contests such as MATHCOUNTS, MOEMS, and the AMC 8.

Ages 10–11Course
Logicus Math Grade 3 HonorsFrom $3,910

Logicus Math Grade 3 Honors

Logicus Larchmont · Co-op City

Logicus Math Grade 3 Honors, formulated with a blend of Russian and Singaporean pedagogical methodologies, provides an enriched and challenging platform for budding mathematicians displaying advanced aptitude. The course amplifies students' understanding of mathematical concepts, sharpens their logical reasoning, expands their problem-solving skills, and fosters abstract thinking using the Concrete, Pictorial, and Abstract (CPA) approach. This curriculum will unfold as follows: Advanced Algebraic Equations : Building on their introduction to algebra in the second grade, students will now progress to more complex equations, diving into the core aspects of algebra. They will begin to manipulate variables, coefficients, and constants, deepening their understanding of balance and equality. An emphasis will be placed on the principle that altering one side of an equation necessitates a corresponding change on the other to maintain equilibrium. Enhanced Problem-Solving Skills : Our students will refine their proficiency in thinking skills and problem-solving heuristics through multifaceted and demanding activities. This will include concepts such as Make an Organized List, Work Backwards, Logical Reasoning, and Break it Down - strategies that foster not just mathematical comprehension but also critical thinking. Advanced Addition and Subtraction : Building on the second-grade foundation, students will delve into more intricate addition and subtraction problems, incorporating both visualization and mental arithmetic techniques. A strong emphasis will be placed on understanding multiple strategies for solving problems and selecting the most efficient method. Multiplication and Division : Going beyond basic concepts, students will explore Multiplication as Comparison, Division as Comparison, Array Model, and the Distributive Property of Multiplication. They'll gain deeper insights into these operations, setting the foundation for future exploration of fractions and ratios. Geometry : Third-grade students will delve deeper into the world of geometric figures, honing their ability to visualize, identify, and construct shapes. There will be an emphasis on spatial relationships and transformations, echoing Russian Math's focus on geometric intuition and proof-based reasoning. Further Exploration of Patterns : Students will unravel more complex number and shape patterns, exploring their application to algebraic operations, further solidifying their understanding of mathematical relationships and how they can be represented algebraically. Equations and Real-World Application : Building on their basic operations in equations, students will now work with equations involving multiplication and division. They'll become proficient in formulating and solving equations from real-world problems, learning to apply mathematics as a tool for creative problem-solving. This advanced program includes a 90-minute class each week throughout the academic year. For any inquiries, please reach out to us at info@logicus.school or 914-243-1431.

Ages 8–9Course
Logicus Math Grade 4From $3,910

Logicus Math Grade 4

Logicus Larchmont · Co-op City

In fourth grade at Logicus, our Conceptual Analytical Mathematics (CAM) program continues to advance, merging the strengths of the Singaporean and Russian methodologies. The curriculum offers: Deepening Number Sense : Students will work with numbers up to 100,000, solidifying their understanding of place values and operations. This combines the Singaporean model's emphasis on visualization and the Russian model's focus on mathematical logic and proof. Multiplication and Division : The curriculum will reinforce multiplication and division facts and strategies. This includes complex word problems and real-world applications, integrating Singapore Math's concrete-to-pictorial-to-abstract framework with Russian Math's problem-solving approach. Fractions and Decimals : Students will deepen their understanding of fractions and begin to explore decimals. This involves comparing, ordering, and performing operations with both fractions and decimals, merging Singaporean Math's progressive concept introduction with Russian Math's analytical problem-solving. Geometry and Measurement : Students will engage with more advanced geometric concepts, including angles and lines, as well as complex measurements like the calculation of area and perimeter. The geometric intuition and proof-based approach of Russian Math are combined with Singapore Math's visual and hands-on learning techniques. Data Analysis : Students will construct, interpret, and draw conclusions from various types of graphs, harnessing Russian Math's emphasis on data interpretation and Singapore Math's focus on practical application. Algebraic Thinking: Patterns, relationships, simple equations, and introduction to expressions. The Algebraic Thinking section of Logicus Math Grade 4 advances students' understanding of algebraic concepts, helping them explore more intricate number patterns and relationships, comprehend the use of variables in more complex scenarios, and solve multi-step equations. This course cultivates an enhanced understanding of mathematical principles, critical thinking, and problem-solving skills and nurtures a sustained passion for mathematics. Subtopics: Advanced Patterns and Relationships: Students will study more complex numerical and geometric patterns, developing their ability to express patterns and relationships using algebraic expressions and equations. Working with Variables: Students will gain proficiency in using variables to represent unknown quantities in more complex mathematical expressions and equations. They'll understand how variables can represent one or many numbers and how they are used to solve problems. Solving Multi-step Equations: Building on their equation-solving skills, students will learn to solve multi-step equations that involve multiple operations. They'll learn strategies such as balancing equations, using inverse operations, and performing operations in the correct order. Real-world Applications: Students will continue to apply their algebraic thinking to real-world problems. They'll translate complex situations into algebraic equations, using variables and equations to solve these problems. The CAM program at Logicus continues to foster problem-solving and critical thinking skills, ensuring a well-rounded mathematical education. The program includes a 90-minute class each week throughout the academic year. For any inquiries, please contact us at info@logicus.school or 914-243-1431. Thank you for considering Logicus!

Ages 9–10Course
Algebra I HonorsFrom $4,631

Algebra I Honors

Logicus Larchmont · Co-op City

Logicus Algebra I Honors builds upon the foundation of Pre-Algebra Honors to provide a deeper exploration of algebraic concepts and techniques, such as linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and more! The Geometry topics covered are isosceles and equilateral triangles, right triangles, Pythagorean Theorem, circles, and quadrilaterals. This course also includes advanced topics such as those problem-solving strategies required for success in the AMC and AIME competitions. A brief treatment of college-level Linear Algebra.

Course
Logicus Math Grade 5From $3,910

Logicus Math Grade 5

Logicus Larchmont · Co-op City

The Conceptual Analytical Math curriculum at Logicus for fifth graders delves into advanced mathematical concepts, expertly integrating the progressive Singaporean and logical Russian methodologies: Advanced Number Systems : Students explore numbers up to 1,000,000, understanding place values, rounding, and performing operations, including complex divisions and multiplications. Multiplication, Division, Fractions, and Decimals : These foundational arithmetic concepts are reinforced with an emphasis on operations involving large numbers and decimals. Expanded Fractions and Introduction to Ratios : Students delve deeper into understanding fractions and are introduced to the concept of ratios. Geometry : Students cover a wide range of geometric concepts, including properties of angles, parallelograms, triangles, and circles. Measurement : Students explore measurement in greater depth, including the calculations of area, perimeter, and volume. Data Analysis and Probability : The curriculum introduces data interpretation in more depth and the fundamental concepts of probability. Application of Concepts through Word Problems : Central to both Singaporean and Russian methodologies is the application of mathematical concepts through word problems. Throughout the CAM program, students regularly engage with word problems that require the application of their growing knowledge base. Algebraic Thinking: Algebraic Thinking in Logicus Math Grade 5 builds upon prior knowledge, diving into more advanced aspects of algebra. This section aims to hone students' abilities to think abstractly and reason algebraically, equipping them for more sophisticated mathematical concepts in the future. Subtopics: Understanding Variables and Expressions: Students will delve deeper into the use of variables, learning to create, interpret, and simplify algebraic expressions. They'll work with multiple variables and learn to evaluate expressions for given variable values. Solving Multi-step Equations: Students will build on their equation-solving skills, learning to solve multi-step equations that involve variables on both sides. They'll master strategies such as combining like terms and using the distributive property. Introduction to Functions: Students will be introduced to the concept of functions as a rule that assigns exactly one output to each input. They'll learn to represent functions using tables, graphs, and equations. Real-world Applications: Students will continue applying their algebraic thinking to real-world problems, translating more complex situations into algebraic equations and functions. The CAM program at Logicus provides a comprehensive mathematical education, cultivating problem-solving and critical thinking skills. The program includes a 90-minute class each week for the academic year. For inquiries, please reach us at info@logicus.school or 914-243-1431. Thank you for considering Logicus!

Ages 10–11Course